Sets, Groups, and Mappings by Jane Gerver

Sets, Groups, and Mappings by Jane Gerver

This book introduces students to the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students of math education, computer science or physics who are looking for an easy-going entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry. In its presentation, the book takes special care to forge linguistic and conceptual links between formal precision and underlying intuition, tending toward the concrete, but continually aiming to extend students' comfort with abstraction, experimentation, and non-trivial computation. The main part of the book can be used as the basis for a transition-to-proofs course that balances theory with examples, logical care with intuitive plausibility, and has sufficient informality to be accessible to students with disparate backgrounds. For students and instructors who wish to go further, the book also explores the Sylow theorems, classification of finitely-generated Abelian groups, and discrete groups of Euclidean plane transformations.

Andrew D. Hwang, College of the Holy Cross, Worcester, MA.

SKU	Unavailable
ISBN 13	9781470449322
ISBN 10	1470449323
Title	Sets, Groups, and Mappings
Author	Jane Gerver
Series	Pure And Applied Undergraduate Texts
Condition	Unavailable
Publisher	American Mathematical Society
Year published	2019-10-30
Number of pages	416
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable