Introduction to Mathematical Structures and Proofs
Produktnummer:
1817f0b7450997403d9114c2a8668d5672
| Autor: | Gerstein, Larry J. |
|---|---|
| Themengebiete: | Cantor's theorems Fundamental Theorem of Arithmetic combinatorics counting principles mathematical induction number-theoretic functions proof techniques relations and partitions set constructions transition course |
| Veröffentlichungsdatum: | 06.06.2012 |
| EAN: | 9781461442646 |
| Auflage: | 2 |
| Sprache: | Englisch |
| Seitenzahl: | 401 |
| Produktart: | Gebunden |
| Verlag: | Springer US |
Produktinformationen "Introduction to Mathematical Structures and Proofs"
As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a "bridge" course can help ensure a smooth transition. Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor—and the flexible thinking—required to prove a nontrivial result. In short, this book seeks to enhance the mathematical maturity of the reader. The new material in this second edition includes a section on graph theory, several new sections on number theory (including primitive roots, with an application to card-shuffling), and a brief introduction to the complex numbers (including a section on the arithmetic of the Gaussian integers). Solutions for even numbered exercises are available on springer.com forinstructors adopting the text for a course.
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