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Discrete Transition to Advanced Mathematics - 04 edition

Discrete Transition to Advanced Mathematics (ISBN10: 0534405185; ISBN13: 9780534405182)
ISBN13: 978-0534405182
ISBN10: 0534405185

Summary: As the title indicates, this text is intended for courses aimed at bridging the gap between lower level mathematics and advanced mathematics. The transition to advanced mathematics presented is discrete since continuous functions are not studied. 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 t ...show moreo develop an understanding of discrete mathematics and critical thinking skills. Including more topics than can be covered in one semester, the text offers innovative material throughout, particularly in the last three chapters (e.g. Fibonacci Numbers and Pascal's Triangle). This allows flexibility for the instructor and the ability to teach a deeper, richer course.

Benefits:

  • Provides, in a clear writing style, an intuitive understanding of concepts behind precise statements.
  • Demonstrates the remarkable connections between the Fibonacci numbers, Pascal's Triangle, and the golden ratio. These ideas serve as an excellent capstone to the course.
  • Includes interesting material for reading projects, such as Divisibility Tests (Section 3.4), Number Patterns (Section 3.5), Infinite Arithmetic (Section 8.5), and Fibonacci Numbers and Pascal's Triangle (Chapter 9).
  • Provides over 650 exercises of varying difficulty designed to reinforce and extend the material presented.
  • Contains many classic results, as well as many elegant or surprising results that are not widely known.
...show less

Edition/Copyright: 04
Cover: Hardback
Publisher: Brooks/Cole Publishing Co.
Published: 07/25/2003
International: No

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