Workbook in Higher Algebra by David Surowski
About this book :-
This is a focused and practical resource designed to help students develop a deeper understanding of advanced algebra through hands-on problem solving. The book covers key topics in abstract algebra, including group theory, ring theory, field theory, and Galois theory. It explores essential concepts such as Sylow theorems, group actions, automorphisms, ideals, factorization, Noetherian and Dedekind domains, and solvability by radicals. Rather than offering lengthy theoretical exposition, Surowski emphasizes active learning by presenting a wide range of carefully structured exercises, from foundational drills to more challenging proofs. This approach encourages learners to engage directly with the material, improving their problem-solving skills and mathematical reasoning. The workbook is especially valuable for upper-level undergraduate or graduate students studying abstract algebra, as well as those preparing for exams or qualifying tests in mathematics. Its compact format and clear structure make it an ideal supplement to more theory-heavy algebra texts. Whether used in the classroom or for independent study, "A Workbook in Higher Algebra" supports the development of strong algebraic intuition and mastery through consistent practice. It’s a useful companion for anyone aiming to strengthen their understanding of higher-level algebra concepts.
Book Detail :-
Title:
Workbook in Higher Algebra by David Surowski
Publisher:
David Surowski
Year:
1992
Pages:
194
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
David B. Surowski
is a mathematics educator affiliated with Kansas State University, known for his contributions to advanced math education through problem-focused learning. He is the author of "A Workbook in Higher Algebra|, a widely used resource that emphasizes hands-on problem solving in abstract algebra. Surowski’s teaching and writing focus on helping students build deep conceptual understanding through structured exercises rather than theory-heavy exposition. He has also written on topics ranging from high school mathematics to differential equations, reflecting a broad commitment to accessible, rigorous math instruction. His work supports learners preparing for higher-level math or academic exams.
Book Contents :-
1. Group Theory
2. Field and Galois Theory
3. Elementary Factorization Theory
4. Dedekind Domains
5. Module Theory
6. Ring Structure Theory
7. Tensor Products
A. Zorn’s Lemma and some Applications
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Abstract Algebra (Introduction)
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