Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry / Edition 1

by Branislav Kisacanin

Overview

A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics — such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The author guides readers through the process of solving enigmatic proofs and problems, and assists them in making the transition from problem solving to theorem proving.
At once a requisite text and an enjoyable read, Mathematical Problems and Proofs is an excellent entrée to discrete mathematics for advanced students interested in mathematics, engineering, and science.

Product Details

ISBN-13:	9780306459672
Publisher:	Springer US
Publication date:	10/31/1998
Series:	The University Series In Mathematics Series
Edition description:	1998
Pages:	220
Product dimensions:	6.10(w) x 9.25(h) x 0.35(d)

Table of Contents

Set Theory.- Combinatorics.- Number Theory.- Geometry.

Editorial Reviews

Introduces the various fields of discrete mathematics to talented high school students and to undergraduates who would like to see illustrations of abstract mathematical concepts and learn a bit about their historic origin. Also teaches how to read mathematical literature in general, which is, always with pencil and paper to hand. Annotation c. by Book News, Inc., Portland, Or.

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