Undergraduate Texts in Mathematics- Introduction to Mathematical Structures and Proofs

Name: Undergraduate Texts in Mathematics- Introduction to Mathematical Structures and Proofs
Author: Larry J. Gerstein

Auteur: Larry J. Gerstein

Taal: Engels

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Auteur: Larry J. Gerstein

Engels
Paperback
9781493951468
23 augustus 2016
401 pagina's

Alle productspecificaties

Samenvatting

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.

From a review of the first edition:

"...Gerstein wants—very gently—to teach his students to think. He wants to show them how to wrestle with a problem (one that is more sophisticated than "plug and chug"), how to build a solution, and ultimately he wants to teach the students to take a statement and develop a way to prove it...Gerstein writes with a certain flair that I think students will find appealing. ...I am confident that a student who works through Gerstein's book will really come away with (i) some mathematical technique, and (ii) some mathematical knowledge….

Gerstein’s book states quite plainly that the text is designed for use in a transitions course. Nothing benefits a textbook author more than having his goals clearly in mind, and Gerstein’s book achieves its goals. I would be happy to use it in a transitions course.”

—Steven Krantz, American Mathematical Monthly

Productspecificaties

Inhoud

Taal: en
Bindwijze: Paperback
Oorspronkelijke releasedatum: 23 augustus 2016
Aantal pagina's: 401
Illustraties: Nee

Betrokkenen

Hoofdauteur: Larry J. Gerstein
Hoofduitgeverij: Springer-Verlag New York Inc.

Overige kenmerken

Editie: 2
Extra groot lettertype: Nee
Product breedte: 178 mm
Product lengte: 254 mm
Studieboek: Nee
Verpakking breedte: 178 mm
Verpakking hoogte: 254 mm
Verpakking lengte: 254 mm
Verpakkingsgewicht: 787 g

EAN

EAN: 9781493951468

Je vindt dit artikel in

Categorieën: Wetenschap & Natuur

Wiskunde

Cijfertheorie

Discrete wiskunde

Grondslagen van de wiskunde

Wiskundige logica

Boeken
Beschikbaarheid: Leverbaar
Taal: Engels
Boek, ebook of luisterboek?: Boek
Studieboek of algemeen: Studieboeken

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