"Applied Complex Variables" by John W. Dettman (Dover Publishers) is a great read (The Math Sorcerer has a video on it.): the first part covers the geometry/topology of the complex plane from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective. I've used Smith Charts (RF/microwave engineering) for years, but learned from Dettman that the "Smith Chart" is an instance of a Möbius Transformation. For practical reasons, a typical "Math Methods for Physics & Engineering" course introduces the Cauchy-Riemann Conditions, Conformal Mapping, Contour Integrals and applications of the Residue Theorem, but has to omit a lot interesting details. The Schaum's Outline on "Complex Variables" is a great companion book for more problems/solutions and content.
Hey, Math Sorcerer, can you make a video about how you take notes during college? Or how do you do them when you are trying to learn math? I believe that it can help many people, including myself. Your wisdom is more than welcome. Thank you!!
From my local Public Library, I borrowed a copy of "Functions of a Complex Variable" by Thomas M. MacRobert (1950). The First Edition was published in 1916. He starts-off with a very geometric presentation of Complex Numbers, then later dives into "the usual stuff". The majority of the book covers Special Functions (Gamma, Legendre, Bessel, Elliptic, Hypergeometric, etc.) and Differential Equations in the complex domain.
Nah you need your parents to be alumni or multimillionaires. A single million isnt getting your kid to the boarding schools where most ivy leagues draw from. They run 40 to 50k yearly starting in pre-k, minimum.
"Applied Complex Variables" by John W. Dettman (Dover Publishers) is a great read (The Math Sorcerer has a video on it.): the first part covers the geometry/topology of the complex plane from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective. I've used Smith Charts (RF/microwave engineering) for years, but learned from Dettman that the "Smith Chart" is an instance of a Möbius Transformation.
For practical reasons, a typical "Math Methods for Physics & Engineering" course introduces the Cauchy-Riemann Conditions, Conformal Mapping, Contour Integrals and applications of the Residue Theorem, but has to omit a lot interesting details.
The Schaum's Outline on "Complex Variables" is a great companion book for more problems/solutions and content.
Hey, Math Sorcerer, can you make a video about how you take notes during college? Or how do you do them when you are trying to learn math? I believe that it can help many people, including myself. Your wisdom is more than welcome. Thank you!!
From my local Public Library, I borrowed a copy of "Functions of a Complex Variable" by Thomas M. MacRobert (1950). The First Edition was published in 1916. He starts-off with a very geometric presentation of Complex Numbers, then later dives into "the usual stuff". The majority of the book covers Special Functions (Gamma, Legendre, Bessel, Elliptic, Hypergeometric, etc.) and Differential Equations in the complex domain.
It's rare to see books covering differential equations in C. I'll have to check it out.
What's your favorite book for beginner complex analysis?
Getting into harvard you just need to be a millionaire dude,lol
Nah you need your parents to be alumni or multimillionaires. A single million isnt getting your kid to the boarding schools where most ivy leagues draw from. They run 40 to 50k yearly starting in pre-k, minimum.
First