Скачать с ютуб Math Major Guide | Warning: Nonstandard advice. в хорошем качестве

Math Major Guide | Warning: Nonstandard advice.

A guide for how to navigate the math major and how to learn the main subjects. Recommendations for courses and books. Comment below to tell me what you think. And check out my channel for conversation videos with guests on math and other topics:    / @danielrubin1   Especially relevant, my conversation with Connor Mooney on The Right Way To Do a Math Major:    • The Right Way to Do a Math Major (Con...   0:00 Intro 1:33 Calculus 4:06 Multivariable calculus 6:44 Ordinary differential equations 8:56 Linear algebra 12:46 Proof class (not recommended) 13:49 Real analysis 18:31 Partial differential equations 20:51 Fourier analysis 22:18 Complex analysis 25:19 Number theory 30:08 Algebra 36:38 Probability and statistics 39:41 Topology 43:58 Differential geometry 47:25 Algebraic geometry 51:48 Summary and general advice Books mentioned: Calculus: Stewart, Calculus (Early Transcendentals) https://amzn.to/3qKsm36 Spivak, Calculus https://amzn.to/3xgfhB5 Toeplitz, The Calculus: A Genetic Approach https://amzn.to/3hakfKi Multivariable calculus: Stewart, Calculus (Early Transcendentals) https://amzn.to/3qKsm36 Edwards, Jr., Advanced Calculus of Several Variables https://amzn.to/2UYiHKB Bressoud, Second Year Calculus: From Celestial Mechanics to Special Relativity https://amzn.to/3ArbYcj Ordinary Differential Equations: Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems https://amzn.to/2V3SPx5 Linear Algebra: Hoffman and Kunze, Linear Algebra https://amzn.to/3hfljwx Strang, Linear Algebra and Its Applications https://amzn.to/369znBf Strang, Linear Algebra and Learning from Data https://amzn.to/3hqbdHU Demmel, Applied Numerical Linear Algebra https://amzn.to/2UoFEGo Real analysis: Rudin, Principles of Mathematical Analysis https://amzn.to/3qJhgeW Haaser and Sullivan, Real Analysis https://amzn.to/2Tzinl7 Bressoud, A Radical Approach to Real Analysis https://amzn.to/3jzTK2x Davidson and Donsig, Real Analysis and Applications: Theory in Practice https://amzn.to/3ywDMKT Partial differential equations: Strauss, Partial Differential Equations: An Introduction https://amzn.to/3haHLqv Fourier analysis: Stein and Shakarchi, Fourier Analysis: An Introduction https://amzn.to/3yfnzta Complex analysis: Greene and Krantz, Function Theory of One Complex Variable https://amzn.to/2Tov8iE Ahlfors, Complex Analysis https://amzn.to/367TboH Ablowitz and Fokas, Complex Variables: Introduction and Applications https://amzn.to/3ApujGD Henrici, Applied and Computational Complex Analysis, Vol. 1-3 https://amzn.to/3w9k0mN https://amzn.to/3jzUXH7 https://amzn.to/3ygmkKi Akhiezer, Elements of the Theory of Elliptic Functions https://amzn.to/2UpaDT6 Number Theory: Hardy and Wright, An Introduction to the Theory of Numbers https://amzn.to/2V24Bbg Gauss, Disquisitiones Arithmeticae https://amzn.to/3ApWmWI Edwards, Fermat's Last Theorem: A Genetic Approach to Algebraic Number Theory https://amzn.to/36b96mc Stewart and Tall, Algebraic Number Theory and Fermat's Last Theorem https://amzn.to/36aX7VG Silverman and Tate, Rational Points on Elliptic Curves https://amzn.to/2UhPyK4 Knapp, Elliptic Curves https://amzn.to/3wfiWha Algebra: Dummit and Foote, Abstract Algebra https://amzn.to/3dEe2Ea Dickson, Introduction to the Theory of Algebraic Equations https://amzn.to/2SHv9xy Edwards, Galois Theory https://amzn.to/3hvRc2H Stahl, Introductory Modern Algebra: A Historical Approach https://amzn.to/3qIcpuo Georgi, Lie Algebras in Particle Physics https://amzn.to/3qMYH9B Fulton and Harris, Representation Theory: A First Course https://amzn.to/3hyfPM2 Probability and Statistics: Gorroochurn, Classic Problems of Probability https://amzn.to/3jJqAhz Wasserman, All of Statistics: A Concise Course in Statistical Inference https://amzn.to/3ydwR8U Topology: Hatcher, Algebraic Topology (not recommended) https://amzn.to/3wdEeMu Differential geometry: do Carmo, Differential Geometry of Curves and Surfaces https://amzn.to/3ArXTvw do Carmo, Riemannian Geometry (only after a first course in differential geometry) https://amzn.to/3AnF5gC Coxeter, Introduction to Geometry https://amzn.to/3yjNXCo Algebraic geometry: Markushevich, Introduction to the Classical Theory of Abelian Functions https://amzn.to/3jL8AmC McKean and Moll, Elliptic Curves (forgot to mention, but very highly recommended) https://amzn.to/3huTHCj Donaldson, Riemann Surfaces https://amzn.to/2Uo5gDl Clemens, A Scrapbook of Complex Curve Theory https://amzn.to/2V2TcYJ Stepanov, Codes on Algebraic Curves https://amzn.to/3Ai2ss9 Harris, Algebraic Geometry: A First Course https://amzn.to/3AkJeC6 Griffiths and Harris, Principles of Algebraic Geometry https://amzn.to/3xe8uYP Hartshorne, Algebraic Geometry (emphatically not recommended) https://amzn.to/3xgDqaK (I get a small commission from Amazon for purchases made using these links)