I'm putting together a list to hopefully help those who are seeking a textbook to use.(adsbygoogle = window.adsbygoogle || []).push({});

Please feel free to offer suggestions/corrections/etc. I'm starting with math and physics

for now but will branch out into other subjects after having a solid foundation. At some

point in the future, I hope to have reviews or descriptions about each book, but that

could take a while.

Math

Calculus:

- Calculus - Volume 1 and 2 - Tom Apostol
- Calculus - Michael Spivak
- Calculus on Manifolds - Michael Spivak
- Differential and Integral Calculus (Volumes 1 and 2) - Richard Courant
- Calculus: An Intuitive and Physical Approach - Morris Kline
- Calculus: Early Transcendentals - James Stewart
- Calculus (Early/Late Transcendentals) - Howard Anton, Irl Bivens, Stephen Davis
- Vector Calculus - Jerrold Marsden, Anthony Tromba

Linear Algebra:

- Linear Algebra - Kenneth Hoffman, Ray Kunze
- Linear Algbera - Serge Lang
- Linear Algebra Done Right - Sheldon Axler
- Linear Algebra - Georgi Shilov
- Introduction to Linear Alebra - Gilbert Strang
- Advanced Linear Algebra - Steven Roman

Differential Equations:

- Elementary Differential Equations and Boundary Value Problems - William Boyce, Richard

DiPrima- An Introduction to Ordinary Differential Equations - James Robinson
- Partial Differential Equations for Scientists and Engineers - S. Farlow
- Lectures on Partial Differential Equations - I. G. Petrovsky
- Lectures on Partial Differential Equations - Vladimir Arnold

Analysis:

- Introductory Real Analysis - A. N. Kolmogorov, S. V. Formin
- Principles of Mathematical Analysis - Walter Rudin
- Real and Complex Analysis - Walter Rudin
- Real Analysis - N. L. Carothers
- Counterexamples in Analysis - B. R. Gelbaum, J. M. H. Olmsted
- Real Analysis - McShane, E.J. Botts

Algebra:

- Algebra - Serge Lang
- Abstract Algebra - David Dummit, Richard Foote
- Algebra - Michael Artin
- Modern Algebra with Applications - William Gilbert
- Topics in Algebra - I. N. Herstein
- Noncommutative Rings - I. N. Herstein
- Galois Theory - Emil Artin
- Algebra - Larry Grove
- Algebra - B. L. Van der Waerden
- Commutative Algebra - O. Zariski, Pierre Samuel
- Homology - MacLane
- Abstract Algebra - Pierre Antoine Grillet
- Algebra - Thomas Hungerford
- Algebra - MacLane and Birkhoff

Topology:

- Topology - James Munkres
- General Topology - John Kelley
- Introduction to Topology - Bert Mendelson
- Topology - Dugundji
- General Topology - Willard
- Topology - Janich

Geometry:

- Geometry Revisited - H.S.M. Coxeter, S.L. Greitzer
- Introduction to Geometry - H.S.M. Coxeter
- Elements - Euclid
- Geometry, Euclid and Beyond - Robin Hartshorne

Graph Theory:

- Modern Graph Theory - Bollobas
- Graph Theory - Diestel
- Graph Theory - Tutte

Number Theory:

- Number Theory - Helmut Hasse
- Elementary Number Theory - Charles Vanden Eynden
- Introduction to Number Theory - Trygve Nagell

Differential Geometry

- A Comprehensive Introduction to Differential Geometry (vol 1-5) - Michael Spivak
- Notes on Differential Geometry - Noel Hicks
- Differential Geometry - Erwin Kreyszig

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If you have anything to add, please post it! I will add more later.

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# A Cumulative List of Math Textbooks

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