The Best Group Theory Mathematics Books 2024

1. Gestalt Group Therapy, A Practical Guide [Paperback - Used]

CONDITION - USED - Pages can include limited notes and highlighting, and the copy can include "From the library of" labels or previous owner inscriptions. Accessories such as CD, codes, toys, may not be included. Gestalt Group Therapy, A Practical Guide by Bud Feder

Gestalt Group Therapy, A Practical Guide, Used [Paperback]

2. Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys, Used [Hardcover]

This updated and revised edition of David Joyner's entertaining "hands-on" tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik's Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin's Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations. Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.

Adventures in Group Theory : Rubik's Cube, Merlin's Machine, and Other Mathematical Toys, Used [Hardcover]

3. Continuous and Discrete Linear Systems [Paperback - Used]

CONDITION - USED - Pages can include limited notes and highlighting, and the copy can include "From the library of" labels or previous owner inscriptions. Accessories such as CD, codes, toys, may not be included. This textbook presents, explains, and demonstrates those techniques of linear-system analysis that can most easily be understood and used by electrical engineering students who are preparing for careers in today's rapidly changing technology. Emphasis is placed on the various representations of linear systems throughout the book. Among these are the differential or difference equation, the unit-impulse or unit-function response, the state-space formulation, the block diagram, and the transfer function.

Continuous and Discrete Linear Systems, Used [Paperback]

4. Algebraic and Analytic Methods in Representation Theory, Used [Hardcover]

Representational theory for reductive groups is central to much of mathematics and mathematical analysis. The methods employed are algebraic as well as analytic in nature, and the subject requires a broad knowledge. In this book, introductions are given to five perspectives in reduction groups."

Algebraic and Analytic Methods in Representation Theory, Used [Hardcover]

5. The Classical Groups : Their Invariants and Representations (PMS-1), Used [Paperback]

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups , his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.

The Classical Groups : Their Invariants and Representations (PMS-1), Used [Paperback]

6. Problems in Group Theory, Used [Paperback]

The most effective way to study any branch of mathematics is to tackle its problems. This wide-ranging anthology offers a straightforward approach, with 431 challenging problems in all phases of group theory, from elementary to the most advanced. The problems are arranged in eleven chapters: subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, the group ring and monomial representations, Frattini subgroup, factorization, linear groups, and representations and characters. Each chapter features a preface of pertinent definitions and theorems, and full solutions appear in a separate section. Most of these problems are derived from research papers published since 1950 (a listing of 102 references is supplied). This compilation makes them readily accessible as a supplement to courses in group theory. The presentation places equal emphasis on techniques and results, encouraging the development of both skill and comprehension.

Problems in Group Theory, Used [Paperback]

7. Category Theory, Used [Hardcover]

This text and reference book on Category Theory, a branch of abstract algebra, is aimed not only at students of Mathematics, but also researchers and students of Computer Science, Logic, Linguistics, Cognitive Science, Philosophy, and any of the other fields that now make use of it. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of Category Theory understandable to this broad readership. Although it assumes few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided; a must for computer scientists, logicians and linguists

Category Theory, Used [Hardcover]

8. American Stories: A History of the United States: 2, Used [Paperback]

Focuses readers on the story of American history. "American Stories" enhances the accessibility of United States history by concentrating on the most commonly taught topics while retaining a strong narrative emphasis and chronological organization. Each chapter follows a consistent structure that maximizes comprehension. The text goes beyond the major events that have shaped America by using significant incidents to reflect historical dilemmas and the decisions made by the American people and their leaders. The authors stress themes and ideas that continue to affect Americans, as they believe the impact of change on human lives adds an essential layer to understanding history. Note MyHistoryLab does not come automatically packaged with this text. To purchase MyHistoryLab, please visit www.MyHistoryLab.com use ISBN: 9780205080984.

American Stories Vol. 2 : A History of the United States, Used [Paperback]

9. Group Theory and Its Application to Physical Problems, Used [Paperback]

"A remarkably intelligible survey . . . well organized, well written and very clear throughout." -- Mathematical Reviews This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment.. "A very welcome addition to the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." -- Contemporary Physics.

Group Theory and Its Application to Physical Problems, Used [Paperback]

10. Fundamentals of the Theory of Computation [Hardcover - Used]

CONDITION - USED - Pages can include limited notes and highlighting, and the copy can include "From the library of" labels or previous owner inscriptions. Accessories such as CD, codes, toys, may not be included. This text addresses some theoretical issues surrounding computer science. It provides an introduction to the theory of computation, and covers programming languages, finite state machines, grammars, Boolean circuits, computational complexity, feasible problems, and intractable problems.

Fundamentals of the Theory of Computation : Principles and Practice, Used [Hardcover]