What mathematics books need to read ?

In summary, there are many recommended mathematics books for beginners, including "The Joy of x" by Steven Strogatz, "A Mathematician's Lament" by Paul Lockhart, and "How to Solve It" by George Polya. For self-study, popular choices include "Introduction to Mathematical Thinking" by Keith Devlin, "Calculus Made Easy" by Silvanus P. Thompson, and "The Art of Problem Solving" by Richard Rusczyk. Advanced mathematicians may benefit from books such as "Principles of Mathematical Analysis" by Walter Rudin, "Algebraic Topology" by Allen Hatcher, and "Differential Geometry" by Manfredo do Carmo. For specific
  • #1
fxdung
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What is mathematics books need to read to well understand Quantum Field Theory of Weinberg Vol 1,2,3?Please hint me some group theory books?I know not much in representation of group.
 
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  • #2
If you're interested in representation theory, then you can't really do better than Hall: https://www.amazon.com/dp/0387401229/?tag=pfamazon01-20
Do not get an abstract algebra book. Those books focus a lot on finite groups, which are things which you won't need for QFT.
 
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Related to What mathematics books need to read ?

1. What are the essential mathematics books for a beginner?

The essential mathematics books for a beginner depend on their level of understanding and the specific branch of mathematics they want to study. However, some commonly recommended books for beginners are "The Joy of x" by Steven Strogatz, "A Mathematician's Lament" by Paul Lockhart, and "How to Solve It" by George Polya.

2. Are there any mathematics books that are suitable for self-study?

Yes, there are many mathematics books that are suitable for self-study. Some popular ones include "Introduction to Mathematical Thinking" by Keith Devlin, "Calculus Made Easy" by Silvanus P. Thompson, and "The Art of Problem Solving" by Richard Rusczyk. These books are designed to be self-contained and provide step-by-step explanations and examples for self-study.

3. What are some advanced mathematics books for experienced mathematicians?

Some advanced mathematics books for experienced mathematicians include "Principles of Mathematical Analysis" by Walter Rudin, "Algebraic Topology" by Allen Hatcher, and "Differential Geometry" by Manfredo do Carmo. These books delve deeper into the mathematical concepts and require a strong foundation in mathematics.

4. Can you recommend any mathematics books for specific topics?

Yes, there are many mathematics books that focus on specific topics such as geometry, algebra, number theory, and calculus. Some recommended titles are "Euclid's Elements" by Euclid for geometry, "Abstract Algebra" by David S. Dummit and Richard M. Foote for algebra, and "The Number Devil" by Hans Magnus Enzensberger for number theory.

5. Are there any online resources for mathematics books?

Yes, there are several online resources for mathematics books. Some popular websites include Project Gutenberg, which offers free e-books of classic mathematics texts, and OpenStax, which provides free textbooks for various levels of mathematics. Additionally, many universities have their own online libraries with a vast collection of mathematics books accessible to the public.

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