Basic Algebra by Anthony W. Knapp
About this book :-
This textbook is designed for advanced undergraduate and beginning graduate students. It systematically develops algebraic concepts and tools vital to every mathematician, whether pure or applied. The book emphasizes clarity, elegance, and accuracy in its exposition, making it a valuable resource for those seeking a deep understanding of algebra.
The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them.
The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
Book Detail :-
Title:
Basic Algebra by Anthony W. Knapp
Publisher:
Birkhäuser
Year:
2016
Pages:
762
Type:
PDF
Language:
English
ISBN-10 #:
0817632484
ISBN-13 #:
978-0817632489
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
Anthony William Knapp
is an American mathematician and professor emeritus at SUNY Stony Brook, born December 2, 1941, in New Jersey. He earned his Ph.D. from Princeton in 1965 and later taught at MIT, Cornell, and Stony Brook. Knapp won the prestigious Leroy P. Steele Prize in 1997 for his outstanding mathematical writing and became a fellow of the American Mathematical Society in 2012.
Book Contents :-
1. Preliminaries about the Integers, Polynomials, and Matrices
2. Vector Spaces Over Q, R, AND C
3. Inner Product Spaces
4. Groups and Group Actions
5. Theory of a Single Linear Tranformation
6. Multilinear Algebra
7. Advanced Group Theory
8. Advanced Group Theory (Continued)
9. Commutative Rings and Their Modules
10. Fields and Galois Theory
11. Modules Over Noncommutative Rings
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