Discrete Transition to Advanced Mathematics

ISBN-10: 0821847899

ISBN-13: 9780821847893

Edition: 2009

List price: $76.00 Buy it from $31.48
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Description: As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last three chapters address topics such as continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio, and may be used for independent reading assignments. The treatment of sequences may be used to introduce epsilon-delta proofs. The selection of topics provides flexibility for the instructor in a course designed to spark the interest of students through exciting material while preparing them for subsequent proof-based courses.

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Book details

List price: $76.00
Copyright year: 2009
Publisher: American Mathematical Society
Publication date: 2/18/2009
Binding: Hardcover
Pages: 424
Size: 7.25" wide x 9.00" long x 0.75" tall
Weight: 1.914
Language: English

Sets and logic
Proofs Number theory
Combinatorics Relations
Functions and cardinality
Graph theory Sequences
Fibonacci numbers and Pascal's triangle
Continued fractions
Answers or hints for selected exercises
Bibliography
Index
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