Great book. I was having trouble with my abstract algebra and analysis classes back when I was a junior. I took a step back and took a discrete math class with this book. Saved my math career and ended up with a master's degree later. Highly recommended.
@@TheMathSorcerer Is the second edition of the only edition that you would recommend, or would any other edition be just as useful? I am entirely self taught if this factors into your answer. Thank you!!
I am currently reading this book and it is not an "easy read"! Some of the proofs are long and reference other proofs, much of it is very abstract, often you cannot "visualize" what the explanation says, and it has fewer examples than one would like, so if you cannot follow the logic of the argument it is really hard to understand... that being said it is a very good book.. I'm not a mathematician but it feels that it doesn't skip any steps. it's just not easy... almost half way through, I just realized that if I read the examples before the proof, understanding the proof becomes easier. So that's my advice, if you get stuck in the explanations and proofs, skip to the example(s), then go back.
I'm doing Master's in CS but highly interested in Mathematics. Your channel is a perfect place to get an intro about mathematical subjects and the best books in the domain as well! Thanks!
What do you think about the current job market for CS. Is cs still worth it to study? Will the market recover? I'm having sleepless nights because I'm scared of being unemployed when I graduate
@@manofsteel9051 Honestly, the market is tight. But, there seems to a change in nature of jobs wrt CS field. Job cut for pure dev side but there seems to a demand in the consulting field wrt ML and AI i.e Data science jobs. It's almost similar to when the computers were first introduced and there was a major shift in the nature of jobs.
I can't thank you enough that you helped in my differential equations if you haven't made videos on it I don't know how could I prepare myself for the exam thank you so much keep making these videos
It‘s for beginners. Though meanwhile I’m far beyond beginners level in discrete math, I own the fifth edition of Epp‘s book because of its inherent beauty. 🤓
I took a discrete math class over 20 years ago, and I still keep this on my side And yes it is true! So, clear and easy to read and digest the idea of topics in each section 😊
Just by watching the book from your video, I can tell it's way better than the Grimaldi book.. Wow.. the content presentation looks very easy to read and very engaging as well as the exercises..not to mention it has solutions at the back..and I really like the part of the book you showed on digital circuits.. it's very interesting to have something like that on a discrete math book.. am so excited to check it out myself.. thanks for this video
@@TheMathSorcerer Does the book cover these topic 1. Sets, Venn Diagrams, etc. Numbers, Algebra and Number bases, modular arithmetic, 2’s complement. Introduction to Logic, truth tables, Proofs. 2. Introduction to pattern matching and unification. Introduction to Graphs, Functions, Relations, Mappings, 3. Vectors & Matrices, Calculus: Differentiation and Integration, stationery points, trigonometry 4. Numerical methods such as - root finding, numerical integration, Data visualization, Statistics, mean, variance, etc., Probability.
@@oviphoenix5996 the table of contents he went over at the start of the video show what exactly is in this book. It seems it has fundamental concepts of formal logic at the beginning, the basis for arithmetic operations, some basic number theory such as sequences and the binomial theorem, and then it transitions down-the-line into logic structures, summarily ending the discussion at logic trees. If you want information on vectors and matrices, calculus-related concepts, and statistics, I would recommend books pertaining directly to those subjects. Discrete Mathematics is simply the logical foundation of mathematics, not a reformatting of all of mathematics from the standpoint of the logic of discrete mathematics.
Omg okay so I know I just commented, but a friend on discord was asking me for help solving a combinatorics class problem and it was literally the ungraded problem at the end of the video. I have never felt smarter in my life.
Thank you for this video. I just ordered this book and it arrives tomorrow 😊 I’m doing a Discrete Maths course and it’s not going so well at the moment … hopefully this book can save me before exams in October.
The only version I could find which is the most affordable is the " metric edition ". What’s the difference between this and the regular version?Should I go for it?
I'm really enjoying your videos. :) For computer folks who want a beautifully put together and swift intro to discrete math, I highly recommend "The Essence of Discrete Mathematics" by Neville Dean. Just under 200 very well integrated pages.
As one of the folks who recommended this book, I'm glad to see that you found it worthy! If you had reviewed it and concluded "this is garbage", I would have felt like a complete dunce. :-)
Hechicero tienes razon, había estudiado matematicas discretas en la universidad en dos cursos con los libros de Grimaldi y Rossen, pero este libro es especial, la sola definición que hace de variables al inicio del capitulo 1 es excelente y ejemplificante, realmente dan ganas trabajarlo en detalle. Gracias.
If ever I gain an interest in learning the fundamental mathematics governing electronic computers, this will be the book I'll go to. However, until that day comes, no way am I purchasing this book. It goes for $150, used! In this economy that's robbery.
There's a student solutions workbook available with answers to all the odd problems, I believe, and an instructor manual with the remainder of the problems.
I am taking discrete math for this semester. I am using fifth edition discrete math by Dossey et al. I just bought the E-version fifth edition by Susan Epp. Let's see if it will be an easier read for me to grasp the concepts.
Susanna Epp's "Discrete Mathematics With Applications" is the best science/math textbook I've ever worked with. I went through it cover-to-cover to teach myself DM.
Nice find, I found a copy on ebay that looks like it is almost brand new for $45 newer edition. Looking forward to it. Copies of this older edition were quite expensive like $100 for some reason.
Have you checked out Rosen’s “Handbook of Discrete and Combinatorial Mathematics”? (I’m not referring to Rosen’s famous book, “Discrete mathematics and its applications”)
Will you do an article/video on Mathematical Platonism. I'm talking about the conversation of "Is mathematics discovered or invented?" I'm curious about basic proofs and how real they are.
I'm a legal translator and had confrontational, if not hostile, relations with my both math teachers in secondary school. They were verbally abusive, always pressurizing you into solving equations and problems with the speed of light. Although my average grade in math was the equivalent of the American "B," that was my most hated subject. Back then, I thought mathematicians were all neurotic and emotionally unbalanced. (A wrongful induction based on two instances only. But those were all the mathematicians known to me at the time.) After school, I got acquainted with a good, sensible person; what stroke me most was that he was a math teacher. Then, I learned there did exist normal people among mathematicians. Later, I came to the conclusion that the two teachers of mine had been exceptions to the rule. After watching some of your videos on math books, I took up a new hobby. In my leisure time, I now solve math problems-it is a rewarding change of activity for my brain. Its linguistic area is partying and chilling out while the mathematical one is being given some job to do. A great job you do and a true teacher you are. My respect and best wishes!!!
Is this book on "Discrete Mathematics" a self-contained book (everything you need to know is already discussed in the book) or do we need to understand certain other topics that are not discussed in the book but are necessary to understand the topics that are discussed in the book? To put it another way, what "outside knowledge" not discussed in the book did you use when you were studying the book?
Okay, you convinced me to give it a chance. I have the fourth edition and I am currently lost. I haven't studied highschool math (algebra and such) since 2010. I am beyond rusty with math and I am going back to school, just wondering if I am really ready to take this course or if I should review algebra instead and then take this class. I will see how it goes
I just worked through the first 8 chapters and it's an easy read, although I was already familiar with the subject matter from my CS curriculum. Also very suitable for a quick refresher course. Maybe someone can explain why she chose to use "~" as the negation symbol instead of "¬".
I’m a little confused looking at the table of contents. Sets are presented after induction, which doesn’t make sense to me, as you need the well ordering principle for induction
In the more recent editions, like the fifth, there is an introduction chapter talking about sets, relations, graphs and overall basic notation to help you get started. You find it pretty easily online for free on z library.
In the UK, this book costs 60UKP. I looked into this; some publishers seem to charge more for a textbook based on their desire to provide course websites. Another similarly overpriced book to avoid for the same reason is Morris, Quantitative Approaches for Business studies; in my experience of Morris's book, the promise of extra resources is ONLY accessible if you have your tutor sign up. There is no mention of this in the book. 🤷♀️ Buy second-hand, or find another book.
I had a class on mathematical proofs that used a book by Chartrand that was very good. I didn’t take discrete math but there is overlap in the topics. I see Chartrand also has a discrete math book which I would guess is pretty good but I only see one edition for it so it might have flopped.
They publisher is different. I think my edition was printed by Pearson. I have used this text in discrete, the bridge class, and real analysis. At NOVA, we used to teach discrete as a math and computer science class. My copy of the text includes a pseudo-computer language in programming examples. Maybe that was added in a later edition. The cover confused me. In all of the editions I have seen, it has a photo of six or eight smooth rocks balanced on each other.
Amazing video! Are you planning to do a video on Functional Analysis by Rudin? (aka Grandpa Rudin) Assuming you have it, that is. I'm interested in getting into functional analysis and would love to hear your take on this book!
I’m just starting out in it and while some parts are a bit easy I do find that it’s explanations are a bit thin. I would like more explanations of sets can be organized and more explanations in appendix V, more proofs. I’ll keep studying it and hopefully this will prepare me when I get into more complicated stuff like calculus. You mentioned in your learn math from start to finish video that people pick up Stewart or spivak and can’t understand it because they don’t have a solid grounding in proofs so I’m hoping I’ll get that here with this book and the one by chartrand, polimeni, and zhang.
It is true that you need proof writing experience for Spivak's Book but thats because Spivaks calc book is more of a preparation book for real analysis. For stewards or Larsons books you don't really need proof writing experience. For Calculus trigonomery is the most important but starting with discrete math will make the transition into higher math easier beyond calculus. but for calc trig is the most important.
@@njb1126 You're welcome ^^ I'm looking to do the same since it is inevitable in a math degree. I personally also own Epps book but i haven't started yet since i wanna finish infinite series before jumping into the book.
so which book is better for beginners, " Discrete Mathematics and it's Applications and it was written by Susanna Epp." or "Discrete Mathematical Structures, written by Kolman, Busby, and Ross."?
IMO, "discrete math" is one of those subjects that, unfortunately, can't be learned from books in quite the same way as more "theoretical" branches like algebra, analysis, or topology. Probably the best advice for the youngster who dreams of achieving greatness as a combinatorist is to work nonstop on contest math problems all throughout high school, while your teachers babble on about history, literature, physics, calculus, or why they're concerned that you're a lazy, isolated underachiever who's in danger of repeating their BS class, yet again.
Hi professor, do you suggest taking discrete math before advanced calculus (as I'm finishing your Cal 3 course on Udemy very soon)? It's always a high priority for me to make the learning curve gentle and soft even though I'm confident in combating difficult problems. Thank you!
There is a differential equations book called "Differential Equations and Linear Algebra" by Furlow. I get as excited about Furlow as he does when he presents this book. It covers differential equations and systems of differential equations organized into matrices. Its very easy to read and excellent for learning differential equations. If you are trying to review good books for students being introduced to DE, it's and excellent book. He has reviewed so many excellent DE books so he may not review it. Furlow has better topics then Zill and is a better read then Boyce/Diprima.
Currently working through the 5th Ed. Almost one third into it. Very good. My only slight criticism is some parts do so much hand holding that they are slightly redundant/repetitive. Book of Proof by Hammcok offers many of the same topics, but I found it more concise. This book covers a lot of additional material though. However, it’s definitely better to err on the side of overexplaining rather than under-explaining, so not a big drawback.
I have a geography degree and I’m going back to school for surveying. I’ve taken up to college algebra (which I struggled with) and stats (which was a breeze). I’m missing pieces in my understanding up to that point. Do you think this book would help cement the logic of previous math courses?
Can anyone recommend a solid online Course for Discrete Math? For some reason the Discrete Math courses are being broken apart into smaller courses. I really like this book. I wish I had started with this book. IMO this class should be mandatory course for everyone starting college.
What are some pre-req's you recommend before jumping into Discrete Math? Was looking into going back to school soon and have been out of Math for 5-8+ years depending on the course, and looking to re-learn things I need to as I see Discrete Math is one of the first courses in the curriculum.
Especially with a book like this. Susanna is really good, I can't believe how much easier this is compared to the others. It's still really tough but in comparison to most other books this is perfect for beginners.
Ya try to get it used it's cheap if it's older and used, for example on bookfinder.com it's less than 10 dollars probably. Worst case scenario you have a book that is a bit too difficult but still worth owning for later. It starts from the beginning of math too with logic. This is maybe something you have never seen and it's really cool and different.
Linear Algebra, matrices, Taylor approximations, Fourier Transformation, Linear Analysis, Calculus, Variational Calculus, Classical Physics, Lagrangian Mechanics, Hamiltonian Mechanics, Quantum mechanics. For QFT also need classical field theory, special relativity and intro to General Relativity. I may have missed some.
Hey authors & editors, now pay attention. I love *wide margins* on some pages like those in this book by Susanna Epp. Margins mean spaces for sticky notes or scribbled notes. I will buy this book, but I wait till January. Christmas is going to eat my wallet. 🙁
Before ordering Susanna Epp's book, I had hours earlier spent much money, ordering hundreds of blank bookmarks and art materials. I'm going to paint them and sell them in a relation's shop. Hopefully, they sell, my fingers crossed.
I'm completing a Bachelor of IT [IS Major] but I'm a masochist I guess so I'm going to give the main discrete math unit a go next semester and see how I do lmao [despite it not even being required for my major]. I did have one unit with graph theory and I actually enjoyed it so wonder how the rest will be. If I do pass most likely will switch my major to CS/and or keep my major as IS and then go and get a master of computer science or master of cyber security after my undergad.
I’m taking discrete math next semester and am using the Rosen book for that course would this be a better resource to supplement into my instruction? Just found your channel last night and have been enjoying it
Yes I also have the Rosen book, and I think this one is much easier to read. I'd say get it, but try to get a used copy since it's cheaper, any edition is fine:)
What kind of job do you have or are you a freelancer of sorts? I'm wondering what kind of jobs or careers mathematicians end up in. I'm very curious about maths and physics but more about physics. Nice video!
Greetings Dear Warlock of Maths, I am a Computer Science Student who has completed Calc 1-3 , DE , Linear and Discrete 1&2 and Stats 1&2.However, I have not taken a math class in 3 years. I would like to “relearn” these classes/concept before advancing to subjects in CS that require a strong foundation in math. Any advice on how to start or complete this goal ?
I’ve only learned mathematics up to precalculus, and I want to learn some discrete mathematics, should I buy the newest edition of Susana Epp? Or some other discrete mathematics book?
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Great book. I was having trouble with my abstract algebra and analysis classes back when I was a junior. I took a step back and took a discrete math class with this book. Saved my math career and ended up with a master's degree later. Highly recommended.
My maths is v poor
I didn't go to any uni
But want to learn discrete maths abstract algebra
Any suggestions??
i was like “this looks really familiar” and i realized that i’m using the 4th edition in my class 😆
Haha wow that's awesome
@@TheMathSorcerer Do you know Aryabhatta?
@@study5133 why?
@@TheMathSorcerer Is the second edition of the only edition that you would recommend, or would any other edition be just as useful? I am entirely self taught if this factors into your answer. Thank you!!
Any edition is ok I think👍 I usually just get the cheapest
I had this as my textbook for my discrete math class. One of the few math textbooks I've ever really liked!
Awesome !
I'm sold, Math Sorcerer!!! I'm getting THAT book for my math library!!! Thanks lots for producing and posting these videos!!!
Awesome Pine!!
I am currently reading this book and it is not an "easy read"! Some of the proofs are long and reference other proofs, much of it is very abstract, often you cannot "visualize" what the explanation says, and it has fewer examples than one would like, so if you cannot follow the logic of the argument it is really hard to understand... that being said it is a very good book.. I'm not a mathematician but it feels that it doesn't skip any steps. it's just not easy... almost half way through, I just realized that if I read the examples before the proof, understanding the proof becomes easier. So that's my advice, if you get stuck in the explanations and proofs, skip to the example(s), then go back.
I'm doing Master's in CS but highly interested in Mathematics. Your channel is a perfect place to get an intro about mathematical subjects and the best books in the domain as well!
Thanks!
What do you think about the current job market for CS. Is cs still worth it to study? Will the market recover? I'm having sleepless nights because I'm scared of being unemployed when I graduate
@@manofsteel9051 Honestly, the market is tight. But, there seems to a change in nature of jobs wrt CS field. Job cut for pure dev side but there seems to a demand in the consulting field wrt ML and AI i.e Data science jobs. It's almost similar to when the computers were first introduced and there was a major shift in the nature of jobs.
@manofsteel9051 CS will always be in demand. Why do you have doubts?
I'd vouch for this. My professor also used this book in our discrete math class, and it was indeed a great book.
Awesome!
I can't thank you enough that you helped in my differential equations if you haven't made videos on it I don't know how could I prepare myself for the exam thank you so much keep making these videos
You are so welcome!
It‘s for beginners. Though meanwhile I’m far beyond beginners level in discrete math, I own the fifth edition of Epp‘s book because of its inherent beauty. 🤓
hehe
This is the textbook I use when I teach discrete math.I think it's clear, especially the early chapters on proof.
Can you do a video on college curriculum? What topics for undergraduate and graduate and in what order? That would be nice
I took a discrete math class over 20 years ago, and I still keep this on my side
And yes it is true!
So, clear and easy to read and digest the idea of topics in each section 😊
I have this book and I def agree! The chapter on Logic, counting and probability....excellent! Plus so many great exercises!
Sold. I have the book on order now. It was here that I got curious about discrete mathematics.
Nice, yeah, it's a good book compared to a lot of the others!
Bro congrats your nearly 100k keep up the good work
Thanks man!!
Brb “buying” this book
(Plz dont yell at me, I’m a homeless mathematician just trying to get an education from communist online libraries)
Lol
Nothing to be ashamed of. IMO Knowledge should be made free.
It's okay, fam. I pirate books more frequently than I buy them, too.
can u throw me a link
Libgen.is is the website to go for free pdfs
Discrete math is one of my fav math classes! Thank you for this recommendation! :)
have you checked out.... _algebra?_
@@defunct1373 yes!!
lol i've been too obsessed with dummit&foote lately
Excellent book. It is the one I kept turning to when learning Discrete Mathematics (two others I own mostly stayed on the shelf).
Nice!!
Just by watching the book from your video, I can tell it's way better than the Grimaldi book.. Wow.. the content presentation looks very easy to read and very engaging as well as the exercises..not to mention it has solutions at the back..and I really like the part of the book you showed on digital circuits.. it's very interesting to have something like that on a discrete math book.. am so excited to check it out myself.. thanks for this video
👍
Yes! Fantastic book and material is explained in clear terms yet very comprehensive
yeah I can't believe how good it is:)
can this book be used by a person who knows nothing about math? (I only have basic math)
I think so. If you can get it for a few dollars, it's worth it. Good luck my friend.
this book is used in most universities down south.
Interesting !!
@@TheMathSorcerer Does the book cover these topic
1. Sets, Venn Diagrams, etc. Numbers, Algebra and Number bases, modular arithmetic, 2’s complement. Introduction to Logic, truth tables, Proofs.
2. Introduction to pattern matching and unification. Introduction to Graphs, Functions, Relations, Mappings,
3. Vectors & Matrices, Calculus: Differentiation and Integration, stationery points, trigonometry
4. Numerical methods such as - root finding, numerical integration, Data visualization, Statistics, mean, variance, etc., Probability.
@@oviphoenix5996 the table of contents he went over at the start of the video show what exactly is in this book. It seems it has fundamental concepts of formal logic at the beginning, the basis for arithmetic operations, some basic number theory such as sequences and the binomial theorem, and then it transitions down-the-line into logic structures, summarily ending the discussion at logic trees.
If you want information on vectors and matrices, calculus-related concepts, and statistics, I would recommend books pertaining directly to those subjects. Discrete Mathematics is simply the logical foundation of mathematics, not a reformatting of all of mathematics from the standpoint of the logic of discrete mathematics.
Omg okay so I know I just commented, but a friend on discord was asking me for help solving a combinatorics class problem and it was literally the ungraded problem at the end of the video.
I have never felt smarter in my life.
Thank you for this video. I just ordered this book and it arrives tomorrow 😊 I’m doing a Discrete Maths course and it’s not going so well at the moment … hopefully this book can save me before exams in October.
Can you make please a list of these discrete math books you used from beginner to advanced in order of how well the info is presented?
Great idea
The only version I could find which is the most affordable is the " metric edition ". What’s the difference between this and the regular version?Should I go for it?
Thank you, prof.
I'm really enjoying your videos. :)
For computer folks who want a beautifully put together and swift intro to discrete math, I highly recommend "The Essence of Discrete Mathematics" by Neville Dean. Just under 200 very well integrated pages.
Nice thank you for this!!
Very interesting analysis in every video; Kudos and thanks
As one of the folks who recommended this book, I'm glad to see that you found it worthy! If you had reviewed it and concluded "this is garbage", I would have felt like a complete dunce. :-)
Hahahahah
Thank you!!!!!!!!
it's not garbage. it's not a complete beginners guide. you need the prerequisites algebra and calculus.
I really wish there was a modern book on infinite series that's as thorough as Knopp's tome.
It looks like a cool book to read and work out some cool exercises!
Yeah !
Started learning this yesterday and this video popped up on my tl
Hechicero tienes razon, había estudiado matematicas discretas en la universidad en dos cursos con los libros de Grimaldi y Rossen, pero este libro es especial, la sola definición que hace de variables al inicio del capitulo 1 es excelente y ejemplificante, realmente dan ganas trabajarlo en detalle. Gracias.
I used that book at UW. I was looking to buy it again. It's amazing how often it comes up
If ever I gain an interest in learning the fundamental mathematics governing electronic computers, this will be the book I'll go to. However, until that day comes, no way am I purchasing this book. It goes for $150, used! In this economy that's robbery.
Another good beginner book is the one from Gary Chartrand and Ping Zhang, it's lean but gives you enough information to understand concepts concisely.
There's a student solutions workbook available with answers to all the odd problems, I believe, and an instructor manual with the remainder of the problems.
OMG thank God for this wonderful channel, I could waste money on the wrong book, so grateful for this 🍀🌺
Discrete math might be the best class I had.
I am taking discrete math for this semester. I am using fifth edition discrete math by Dossey et al. I just bought the E-version fifth edition by Susan Epp. Let's see if it will be an easier read for me to grasp the concepts.
Susanna Epp's "Discrete Mathematics With Applications" is the best science/math textbook I've ever worked with.
I went through it cover-to-cover to teach myself DM.
Awesome!!
Nice find, I found a copy on ebay that looks like it is almost brand new for $45 newer edition. Looking forward to it. Copies of this older edition were quite expensive like $100 for some reason.
Have you checked out Rosen’s “Handbook of Discrete and Combinatorial Mathematics”?
(I’m not referring to Rosen’s famous book, “Discrete mathematics and its applications”)
Hmm no I have not!! I should check it out:)
Thank you very much for the awesome videos btw🙏🏻🙏🏻🙏🏻🙏🏻
FYI the 4th Edititon has a separate Student Solutions Manual which has a few extra solutions.
Thanks for the recommendation, looks like a great read.
Will you do an article/video on Mathematical Platonism. I'm talking about the conversation of "Is mathematics discovered or invented?"
I'm curious about basic proofs and how real they are.
My school (UMKC) used Richard Johnsonbaugh's book (8th ed) for both discrete 1 and 2. I don't think we really used the book for homework much.
I'm a legal translator and had confrontational, if not hostile, relations with my both math teachers in secondary school. They were verbally abusive, always pressurizing you into solving equations and problems with the speed of light. Although my average grade in math was the equivalent of the American "B," that was my most hated subject. Back then, I thought mathematicians were all neurotic and emotionally unbalanced. (A wrongful induction based on two instances only. But those were all the mathematicians known to me at the time.) After school, I got acquainted with a good, sensible person; what stroke me most was that he was a math teacher. Then, I learned there did exist normal people among mathematicians. Later, I came to the conclusion that the two teachers of mine had been exceptions to the rule.
After watching some of your videos on math books, I took up a new hobby. In my leisure time, I now solve math problems-it is a rewarding change of activity for my brain. Its linguistic area is partying and chilling out while the mathematical one is being given some job to do.
A great job you do and a true teacher you are. My respect and best wishes!!!
Is this book on "Discrete Mathematics" a self-contained book (everything you need to know is already discussed in the book) or do we need to understand certain other topics that are not discussed in the book but are necessary to understand the topics that are discussed in the book? To put it another way, what "outside knowledge" not discussed in the book did you use when you were studying the book?
Self contained
You can start with this in theory, it starts with logic which requires no pre req
@@TheMathSorcerer Ahhh Perfect
Thank you very much :)
Okay, you convinced me to give it a chance. I have the fourth edition and I am currently lost. I haven't studied highschool math (algebra and such) since 2010. I am beyond rusty with math and I am going back to school, just wondering if I am really ready to take this course or if I should review algebra instead and then take this class. I will see how it goes
How did you do?
@@fireball43 Not great, I didn't have the time to study because of work and I had to drop It :(
I just worked through the first 8 chapters and it's an easy read, although I was already familiar with the subject matter from my CS curriculum. Also very suitable for a quick refresher course.
Maybe someone can explain why she chose to use "~" as the negation symbol instead of "¬".
Is there any books you recommend for someone that forgot all of high school math ? I want to understand the logic behind math
I’m a little confused looking at the table of contents. Sets are presented after induction, which doesn’t make sense to me, as you need the well ordering principle for induction
In the more recent editions, like the fifth, there is an introduction chapter talking about sets, relations, graphs and overall basic notation to help you get started. You find it pretty easily online for free on z library.
I come from zero math. I always failed all my math clases, and I'm super scared, but I bought it just now.
Oh nice, this is a GOOD book. One you can have with you forever:)
In the UK, this book costs 60UKP. I looked into this; some publishers seem to charge more for a textbook based on their desire to provide course websites. Another similarly overpriced book to avoid for the same reason is Morris, Quantitative Approaches for Business studies; in my experience of Morris's book, the promise of extra resources is ONLY accessible if you have your tutor sign up. There is no mention of this in the book. 🤷♀️ Buy second-hand, or find another book.
I had a class on mathematical proofs that used a book by Chartrand that was very good. I didn’t take discrete math but there is overlap in the topics. I see Chartrand also has a discrete math book which I would guess is pretty good but I only see one edition for it so it might have flopped.
They publisher is different. I think my edition was printed by Pearson. I have used this text in discrete, the bridge class, and real analysis. At NOVA, we used to teach discrete as a math and computer science class. My copy of the text includes a pseudo-computer language in programming examples. Maybe that was added in a later edition. The cover confused me. In all of the editions I have seen, it has a photo of six or eight smooth rocks balanced on each other.
Oh I see interesting
Ordered it on the same day you recommend it.
Have that book as an electronic pdf
Awesome !
Pdf link please 🙃
It can found on pdfdrive.com
@@adarshpandey8023 thanks
I bought this book. 4th revised edition
Amazing video! Are you planning to do a video on Functional Analysis by Rudin? (aka Grandpa Rudin) Assuming you have it, that is. I'm interested in getting into functional analysis and would love to hear your take on this book!
Eventually yes! Good idea!
Just bought this edition, used hardcover for $7.38 on eBay
Awesome!!
I'm trying really hard to find this book but it isn't available in my country ig. I found the pdf tho and I'll try to read from that.
I’m just starting out in it and while some parts are a bit easy I do find that it’s explanations are a bit thin. I would like more explanations of sets can be organized and more explanations in appendix V, more proofs. I’ll keep studying it and hopefully this will prepare me when I get into more complicated stuff like calculus. You mentioned in your learn math from start to finish video that people pick up Stewart or spivak and can’t understand it because they don’t have a solid grounding in proofs so I’m hoping I’ll get that here with this book and the one by chartrand, polimeni, and zhang.
It is true that you need proof writing experience for Spivak's Book but thats because Spivaks calc book is more of a preparation book for real analysis. For stewards or Larsons books you don't really need proof writing experience. For Calculus trigonomery is the most important but starting with discrete math will make the transition into higher math easier beyond calculus. but for calc trig is the most important.
@@daniellindner355 thank you I didn’t know that spivak lead into real analysis. I look forward to studying into it further.
@@njb1126 You're welcome ^^ I'm looking to do the same since it is inevitable in a math degree. I personally also own Epps book but i haven't started yet since i wanna finish infinite series before jumping into the book.
How can i get it??
Link in description or check book finder.com it's cheap there
Have you read the Invitation to Discrete Mathematics by Matousek and Nesetril?
I have not, I will check it out !
Where do you buy your books? you mentioned getting it for less than 10$.
I got this one on amazon a while ago
so which book is better for beginners, " Discrete Mathematics and it's Applications and it was written by Susanna Epp." or "Discrete Mathematical Structures, written by Kolman, Busby, and Ross."?
Epp is better I think, both are good though, check bookfinder.com and you can get both super cheap I think!
i came here as a 15 year old right now in 10th grade cuz i will be taking cs major and discrete math is required for that
nice
Is there any free Pdf files on this book?!?
Yes, you can find it on library genesis or z library. I found the 4th edition of the book which is the same but better.
IMO, "discrete math" is one of those subjects that, unfortunately, can't be learned from books in quite the same way as more "theoretical" branches like algebra, analysis, or topology. Probably the best advice for the youngster who dreams of achieving greatness as a combinatorist is to work nonstop on contest math problems all throughout high school, while your teachers babble on about history, literature, physics, calculus, or why they're concerned that you're a lazy, isolated underachiever who's in danger of repeating their BS class, yet again.
OMG THAT IS SO TRUE. Combinatorics is 99% just intuition and educated guesses, which can only come by doing a _shit_ ton of problems.
Hi professor, do you suggest taking discrete math before advanced calculus (as I'm finishing your Cal 3 course on Udemy very soon)?
It's always a high priority for me to make the learning curve gentle and soft even though I'm confident in combating difficult problems.
Thank you!
I think you can take it well before. In his Math from Start to Finish video, this Epp book is actually the first one he recommends starting out.
am using this book and it is very helpful
There is a differential equations book called "Differential Equations and Linear Algebra" by Furlow. I get as excited about Furlow as he does when he presents this book. It covers differential equations and systems of differential equations organized into matrices. Its very easy to read and excellent for learning differential equations. If you are trying to review good books for students being introduced to DE, it's and excellent book. He has reviewed so many excellent DE books so he may not review it. Furlow has better topics then Zill and is a better read then Boyce/Diprima.
Currently working through the 5th Ed. Almost one third into it. Very good. My only slight criticism is some parts do so much hand holding that they are slightly redundant/repetitive. Book of Proof by Hammcok offers many of the same topics, but I found it more concise. This book covers a lot of additional material though. However, it’s definitely better to err on the side of overexplaining rather than under-explaining, so not a big drawback.
por que no te compras las ultimas ediciones? todos tus libros que presentas son antiguas
I have a geography degree and I’m going back to school for surveying. I’ve taken up to college algebra (which I struggled with) and stats (which was a breeze). I’m missing pieces in my understanding up to that point. Do you think this book would help cement the logic of previous math courses?
Can anyone recommend a solid online Course for Discrete Math? For some reason the Discrete Math courses are being broken apart into smaller courses. I really like this book. I wish I had started with this book. IMO this class should be mandatory course for everyone starting college.
Hi Math Sorcerer,
Please suggest on how to get started with Concrete Mathematics by Knuth.
What are some pre-req's you recommend before jumping into Discrete Math? Was looking into going back to school soon and have been out of Math for 5-8+ years depending on the course, and looking to re-learn things I need to as I see Discrete Math is one of the first courses in the curriculum.
I think most schools require like calculus 2 as a prereq but honestly it's completely unrelated to this. I think you could just jump into it
Especially with a book like this. Susanna is really good, I can't believe how much easier this is compared to the others. It's still really tough but in comparison to most other books this is perfect for beginners.
@@TheMathSorcerer Appreciate the reply, never took Calc 2, and has definitely don't remember most algebra, trig, calc, but will try this out probably!
Ya try to get it used it's cheap if it's older and used, for example on bookfinder.com it's less than 10 dollars probably. Worst case scenario you have a book that is a bit too difficult but still worth owning for later. It starts from the beginning of math too with logic. This is maybe something you have never seen and it's really cool and different.
And good luck it's cool to see people returning especially to math💪
Thanks for sharing this and could you give some recommendations whose teach Video is good for our beginners, thanks!
Hello, could you suggest the path to get to 0 to quantum mechanics? I mean in terms of topics to study
Linear Algebra, matrices, Taylor approximations, Fourier Transformation, Linear Analysis, Calculus, Variational Calculus, Classical Physics, Lagrangian Mechanics, Hamiltonian Mechanics, Quantum mechanics. For QFT also need classical field theory, special relativity and intro to General Relativity. I may have missed some.
Hey authors & editors, now pay attention. I love *wide margins* on some pages like those in this book by Susanna Epp. Margins mean spaces for sticky notes or scribbled notes. I will buy this book, but I wait till January. Christmas is going to eat my wallet. 🙁
Aww hey you should try bookfinder.com although I am not sure on shipping to Ireland.
The Math Sorcerer I just bought the book at €7 including delivery. It was second-hand. Thank you.
Awesome ! Ya that is an amazing website for older vintage books too!
Before ordering Susanna Epp's book, I had hours earlier spent much money, ordering hundreds of blank bookmarks and art materials. I'm going to paint them and sell them in a relation's shop. Hopefully, they sell, my fingers crossed.
The Math Sorcerer My copy has arrived just today. I love the book very much.
I'm completing a Bachelor of IT [IS Major] but I'm a masochist I guess so I'm going to give the main discrete math unit a go next semester and see how I do lmao [despite it not even being required for my major]. I did have one unit with graph theory and I actually enjoyed it so wonder how the rest will be.
If I do pass most likely will switch my major to CS/and or keep my major as IS and then go and get a master of computer science or master of cyber security after my undergad.
Yo I'm down to exchange discord if u wanna discuss discreet math or computer shit in general
What do you think of Knuth et al.’s Concrete Mathematics?
Knuth et al.'s CONCRETE MATHEMATICS is the ULTIMATE BOOK in this field. And It is not for the faint of heart.
Concrete Mathematics is a good follow-on to the book mentioned in the video. It is much more advanced.
I have heard it's awesome but I don't have it yet
I’m taking discrete math next semester and am using the Rosen book for that course would this be a better resource to supplement into my instruction? Just found your channel last night and have been enjoying it
Yes I also have the Rosen book, and I think this one is much easier to read. I'd say get it, but try to get a used copy since it's cheaper, any edition is fine:)
And the Rosen book is not bad, it's just hard, it's a hard subject I think in general.
Thank you.
You are welcome!
Great video
Is there any difference between this edition and the latest one?
Hi, just wanted to let you know that your proofs with sets and proofs with functions course links in your desc are swapped. Have a nice day!
Oooooh thank you!!!!!
How beginner is beginner here? Do you think someone who only knows how to do add 2 + 2 can follow along?
Hi. Fun videos. Could you please recommend a good book (inexpensive) for non-Euclidean geometry? I'm having a tough time with it. Thanks!
What kind of job do you have or are you a freelancer of sorts? I'm wondering what kind of jobs or careers mathematicians end up in. I'm very curious about maths and physics but more about physics. Nice video!
Thanks!! I teach mathematics at a local college
@@TheMathSorcerer Alright. Thanks!
Impossible to get gold of in the uk, cant afford any edition of it
Greetings Dear Warlock of Maths,
I am a Computer Science Student who has completed Calc 1-3 , DE , Linear and Discrete 1&2 and Stats 1&2.However, I have not taken a math class in 3 years. I would like to “relearn” these classes/concept before advancing to subjects in CS that require a strong foundation in math. Any advice on how to start or complete this goal ?
I think discrete is probably the most important one honestly , and this book is actually a really good choice for that👍
What are the prerequisite to start learning discrete math? basic arithmetic is enough?
Let u be the math journey all of us take, then du will be our derivative, but knowing that, the solution to our problem is The Math Sorcerer + C.
:)
awesome 👍
I’ve only learned mathematics up to precalculus, and I want to learn some discrete mathematics, should I buy the newest edition of Susana Epp? Or some other discrete mathematics book?