Books for Learning Mathematics



Cambridge mathematical reading list (updated link): https://www.maths.cam.ac.uk/documents/reading-list.pdf/
Alternative link: https://www.perse.co.uk/wp-content/uploads/2016/05/Cambridge-reading-list.pdf

GENERAL
Flatland – Edwin Abbott
Fermat’s last theorem – Simon Singh
A Mathematician’s Apology – G.H. Hardy

CALCULUS
Early transcendentals – James Stewart
Calculus – Michael Spivak

LINEAR ALGEBRA
Elementary Linear Algebra – Howard Anton

DIFFERENTIAL EQUATIONS:
Partial Differential Equations an introduction – Walter Strauss
James Nearing, Mathematical Tools for Physics: http://www.physics.miami.edu/~nearing/mathmethods/

COMPLEX ANALYSIS:
Visual complex analysis – Tristian Needham

OTHER
Principles of mathematical analysis – Walter Rudin
Analysis I – Terence Tao
Algebraic topology – Allen Hatcher
Mathematical methods in the physical sciences – Mary Boas
Abstract algebra – Dummit and Foote
Discrete math and applications – Kenneth Rosen
How to think like a mathematician – Houston

See also the John Baez page for leaning math: http://math.ucr.edu/home/baez/books.html#math

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