Introduction to Mathematical Structures and Proofs (Undergraduate Texts in Mathematics)

Gerstein, Larry J.

ISBN 10: 1461442648 / ISBN 13: 9781461442646

Verlag: Springer, 2012

Beschreibung

Very good hardcover without DJ, as issued, from a personal collection (NOT ex-library). Binding is tight, sturdy, and square; boards and text/images also very good. Exterior looks great, shelfwear is very minor. An excellent copy. (Quality print from a digital source). Ships same or next business day from Dinkytown in Minneapolis, Minnesota. Due to the size/weight of this book extra charges may apply for international shipping.

Bestandsnummer des Verkäufers 301163

Bibliografische Details

• Titel: Introduction to Mathematical Structures and Proofs (Undergraduate Texts in Mathematics)
• Verlag: Springer
• Veröffentlichungsdatum: 2012
• Sprache: Englisch
• ISBN-10: 1461442648
• ISBN-13: 9781461442646
• Bindung: hardcover
• Ausgabe: 2nd ed. 2012.
• Zustand: Very Good
• Zustand des Schutzumschlags: No Dust Jacket Issued
• Verkäuferkataloge:
  • Mathematics

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Larry Gerstein's primary areas of research have been in quadratic forms and number theory and he has published extensively in these areas. The author's first edition of "Introduction to Mathematical Structures and Proofs" has sold to date (8/2/2010) over 6000 copies and has gone through 5 printings. Gerstein himself has a transition course at UC, Santa Barbara (Math 8-A transition to higher mathematics) from his book since its first publication date. The first edition also received 2 glowing reviews by Steve Krantz for the American Mathematical Monthly, and S. Gottwald for Zentralblatt.