Introduction to Mathematical Structures and Proofs

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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 for instructors adopting the text for a course.



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Mehr Informationen
ReiheUndergraduate Texts in Mathematics
ISBN 9781493951468
Sprache Englisch
Ausgabe Softcover reprint of the original 2nd ed. 2012
Erscheinungsdatum 23.08.2016
Umfang 401 Seiten
Genre Mathematik/Grundlagen
Format Taschenbuch
Verlag Springer US
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