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A Cumulative List of Math Textbooks 
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#1
Aug711, 09:30 PM

P: 22

I'm putting together a list to hopefully help those who are seeking a textbook to use.
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:
Linear Algebra:
Differential Equations:
Analysis:
Algebra:
Topology:
Geometry:
Graph Theory:
Number Theory:
Differential Geometry
 If you have anything to add, please post it! I will add more later. 


#2
Aug711, 10:41 PM

P: 367

Please add:
Real Analysis  McShane and E.J. Botts Abstract Algebra  Pierre Antoine Grillet Algebra  Thomas Hungerford Algebra  Mac Lane and Birkhoff Advanced Linear Algebra  Steven Roman Topology  Dugundji General Topology  Willard Topology  Janich Graph Theory  Diestel Graph Theory  Tutte More later 


#3
Aug811, 09:10 AM

P: 22

Thank you for those contributions, wisvuze :) Are there any categories for math that anyone would like to see added?



#4
Aug2611, 01:35 PM

P: 43

A Cumulative List of Math Textbooks
do you have to see the books in the following order?
for example calculus > linear algebra>differential equation?? can you read one or two books from each categories? 


#5
Aug2711, 11:52 AM

P: 22




#6
Aug2711, 12:20 PM

P: 367

For a full and "accurate" coverage of differential equations, you should definitely see calculus AND linear algebra first. ( Unless you want to learn them simultaneously )



#7
Aug2711, 12:48 PM

Mentor
P: 18,330

Here are some great books you've missed
Calculus Practical Analysis in One Variable  Esteb Linear Algebra Linear algebra  Friedberg Finitedimensional Vector spaces  Halmos Analysis Principles of Real Analysis  Aliprantis, Burkinshaw Real Analysis  Yeh Understanding Analysis  Abbott Treatise on Analysis  Dieudonne Functional Analysis Analysis Now  Pedersen A course in functional analysis  Conway Introductory functional analysis with applications  Kreyszig Lectures and Exercises on Fucnctional analysis  Helemskii Linear Operators  Dunford, Schwartz Functional Analysis  Lax Algebra Galois Theory  Stewart A book on abstract algebra  Pinter Groups and symmetry  Armstrong Commutative algebra with a view on algebraic geometry  Eisenbud Introduction to commutative algebra  Atiyah, McDonald Topology Counterexamples in Topology  Steen, Seebach Introduction to Topological Manifolds  Lee Differential geometry Introduction to Smooth manifolds  Lee 


#8
Aug2711, 01:50 PM

P: 41

Kunen "Set Theory An Introduction To Independence Proofs" Jech "Set theory" Also, I would add to Topology section: Engelking "General topology" 


#10
Aug2811, 09:50 PM

P: 69

A little advanced topics, pardon me if I am reposting the same titles as above.
Algebra Basic Algebra I & II, Nathan Jacobson Introduction to NonCommutative Rings, Lam Further Algebra, Cohn Introduction to Commutative Algebra, Atiyah & MacDonald Analysis Real Analysis  Modern Techniques & Their Applications, Folland Real Analysis  Measure Theory, Integration & Hilbert Spaces, Stein & Shakarchi Real Variables, Torchinsky Complex Analysis, Conway Elementary Theory of Analytic Functions of One or Several Complex Variables, Cartan Complex Analysis, Stein & Shakarchi Introduction to Functional Analysis, Taylor & Lay Topology Fiber Bundles, Husemuller Algebraic Topology, Harcher Homology Theory, Vick Algebraic Topology, Greenberg & Harper 


#11
Aug2811, 10:20 PM

Sci Advisor
HW Helper
PF Gold
P: 3,288

A few more analysis books, off the top of my head:
Pugh  Real Mathematical Analysis Bartle  Elements of Real Analysis Bartle  The Elements of Integration and Lebesgue Measure Knapp  Basic Real Analysis Knapp  Advanced Real Analysis Thomson, Bruckner, and Bruckner  Elementary Real Analysis Bruckner, Bruckner, and Thomson  Real Analysis Jones  Lebesgue Integration on Euclidean Space Berberian  Fundamentals of Real Analysis Hardy  A Course of Pure Mathematics Hardy  Inequalities Whittaker and Watson  A Course of Modern Analysis Wheeden and Zygmund  Measure and Integral Royden  Real Analysis Stromberg  Introduction to Classical Real Analysis Hewitt and Stromberg  Real and Abstract Analysis Lang  Real and Functional Analysis Lang  Undergraduate Analysis Rosenlicht  Introduction to Analysis Halmos  Measure Theory 


#12
Aug2911, 12:08 PM

P: 792

I don't see how naming 20 textbooks on one subject is going to help anyone. Are you trying to name every book available on every subject? 2 or 3 for each subject at each level would be much more helpful.



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