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Introduction to Mathematical Structures and Proofs | Larry J. Gerstein | Buch | Undergraduate Texts in Mathematics | HC gerader Rücken kaschiert | XIII | Englisch | 2012 | Springer US - Gerstein, Larry J.
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Introduction to Mathematical Structures and Proofs | Larry J. Gerstein | Buch | Undergraduate Texts in Mathematics | HC gerader Rücken kaschiert | XIII | Englisch | 2012 | Springer US - gebunden oder broschiert

2012, ISBN: 9781461442646

[ED: Gebunden], [PU: Springer US], As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, top… Mehr…

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Introduction to Mathematical Structures and Proofs / Larry J. Gerstein / Buch / Undergraduate Texts in Mathematics / HC gerader Rücken kaschiert / xiii / Englisch / 2012 / Springer US - Gerstein, Larry J.
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Introduction to Mathematical Structures and Proofs / Larry J. Gerstein / Buch / Undergraduate Texts in Mathematics / HC gerader Rücken kaschiert / xiii / Englisch / 2012 / Springer US - gebunden oder broschiert

2012, ISBN: 9781461442646

[ED: Gebunden], [PU: Springer US], As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, top… Mehr…

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Introduction to Mathematical Structures and Proofs - gebunden oder broschiert

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ISBN: 1461442648

2nd ed. 2012 Gebundene Ausgabe Mathematische Grundlagen, Diskrete Mathematik, Zahlentheorie, Cantor'stheorems; fundamentaltheoremofarithmetic; countingprinciples; mathematicalinduction;… Mehr…

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Introduction to Mathematical Structures and Proofs - Taschenbuch

2012, ISBN: 9781461442646

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Introduction to Mathematical Structures and Proofs - gebunden oder broschiert

2012, ISBN: 9781461442646

Buch, Hardcover, 2nd ed. 2012, [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 2012

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Details zum Buch
Introduction to Mathematical Structures and Proofs
Autor:
Titel:
ISBN-Nummer:

9781461442646


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.

Detailangaben zum Buch - Introduction to Mathematical Structures and Proofs


EAN (ISBN-13): 9781461442646
ISBN (ISBN-10): 1461442648
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2012
Herausgeber: Springer-Verlag New York Inc.
416 Seiten
Gewicht: 0,935 kg
Sprache: Englisch

Buch in der Datenbank seit 2009-07-12T07:13:46+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-14T15:22:40+01:00 (Berlin)
ISBN/EAN: 9781461442646

ISBN - alternative Schreibweisen:
1-4614-4264-8, 978-1-4614-4264-6
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: gerste, larry, gers, gerst, gerstein, steven krantz, gottwald
Titel des Buches: mathematical structure, mathematical introduction, introduction proof, structures, mathematica, undergraduate text, gerstein

Daten vom Verlag:

Autor/in: Larry J. Gerstein
Titel: Undergraduate Texts in Mathematics; Introduction to Mathematical Structures and Proofs
Verlag: Springer; Springer US
401 Seiten
Erscheinungsjahr: 2012-06-06
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
48,10 € (DE)
49,45 € (AT)
60,12 CHF (CH)
POD
XIII, 401 p.

BB; Hardcover, Softcover / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; Cantor's theorems; Fundamental Theorem of Arithmetic; counting principles; mathematical induction; number-theoretic functions; proof techniques; relations and partitions; set constructions; transition course; combinatorics; Mathematical Logic and Foundations; Number Theory; Discrete Mathematics; Mathematische Grundlagen; Zahlentheorie; Diskrete Mathematik; BB; EA; BC

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
Solutions manual for even numbered exercises is available on springer.com for instructors adopting the text for a course Discusses the multifaceted process of mathematical proof by thoughtful oscillation between what is known and what is to be demonstrated Presents more than one proof for many results, for instance for the fact that there are infinitely many prime numbers Shows how the processes of counting and comparing the sizes of finite sets are based in function theory, and how the ideas can be extended to infinite sets via Cantor's theorems Contains a wide assortment of exercises, ranging from routine checks of a student's grasp of definitions through problems requiring more sophisticated mastery of fundamental ideas Demonstrates the dual importance of intuition and rigor in the development of mathematical ideas Request lecturer material: sn.pub/lecturer-material
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