Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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. Full Product DetailsAuthor: Andrew D. HwangPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.736kg ISBN: 9781470449322ISBN 10: 1470449323 Pages: 416 Publication Date: 30 October 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsLogic and proofs An introduction to sets The integers Mappings and relations Induction and recursion Binary operations Groups Divisibility and congruences Primes Multiplicative inverses of residue classes Linear transformations Isomorphism The symmetric group Examples of finite groups Cosets Homomorphisms Group actions Euclidean geometry Euler's formula IndexReviewsAuthor InformationAndrew D. Hwang, College of the Holy Cross, Worcester, MA. Tab Content 6Author Website:Countries AvailableAll regions |
||||
