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A Discrete Transition to Advanced Mathematics
 
Bettina Richmond Western Kentucky University, Bowling Green, KY
Thomas Richmond Western Kentucky University, Bowling Green, KY
Front Cover for A Discrete Transition to Advanced Mathematics
Available Formats:
Hardcover ISBN: 978-0-8218-4789-3
Product Code: AMSTEXT/3
424 pp 
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $64.80
Sale Price: $52.65
Electronic ISBN: 978-1-4704-1116-9
Product Code: AMSTEXT/3.E
424 pp 
List Price: $76.00
MAA Member Price: $68.40
AMS Member Price: $60.80
Sale Price: $49.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $121.50
MAA Member Price: $109.35
AMS Member Price: $97.20
Sale Price: $78.98
Front Cover for A Discrete Transition to Advanced Mathematics
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  • Front Cover for A Discrete Transition to Advanced Mathematics
  • Back Cover for A Discrete Transition to Advanced Mathematics
A Discrete Transition to Advanced Mathematics
Bettina Richmond Western Kentucky University, Bowling Green, KY
Thomas Richmond Western Kentucky University, Bowling Green, KY
Available Formats:
Hardcover ISBN:  978-0-8218-4789-3
Product Code:  AMSTEXT/3
424 pp 
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $64.80
Sale Price: $52.65
Electronic ISBN:  978-1-4704-1116-9
Product Code:  AMSTEXT/3.E
424 pp 
List Price: $76.00
MAA Member Price: $68.40
AMS Member Price: $60.80
Sale Price: $49.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $121.50
MAA Member Price: $109.35
AMS Member Price: $97.20
Sale Price: $78.98
  • Book Details
     
     
    Pure and Applied Undergraduate Texts
    Volume: 32004
    MSC: Primary 00;

    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.

    The book includes a large number of problems of varying difficulty. A student manual with solutions to selected problems is available electronically: www.ams.org/bookstore/pspdf/amstext-3-solutions.pdf.

    An instructor's manual for this title is available electronically. Please send email to textbooks@ams.org for more information.

    Readership

    Undergraduate students interested in becoming mathematicians.

  • Table of Contents
     
     
    • Cover
    • Preface
    • Contents
    • 1. Sets and Logic
    • 2. Proofs
    • 3. Number Theory
    • 4. Combinatorics
    • 5. Relations
    • 6. Functions and Cardinality
    • 7. Graph Theory
    • 8. Sequences
    • 9. Fibonacci Numbers and Pascal’s Triangle
    • 10. Continued Fractions
    • Answers or Hints for Selected Exercises
    • Bibliography
    • Index
    • Back Cover
  • Reviews
     
     
    • This nice text is a welcome addition to existing literature on discrete mathematics, mathematical reasoning and proofs, and similar topics.

      Zentralblatt MATH
  • Request Exam/Desk Copy
  • Request Review Copy
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Volume: 32004
MSC: Primary 00;

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.

The book includes a large number of problems of varying difficulty. A student manual with solutions to selected problems is available electronically: www.ams.org/bookstore/pspdf/amstext-3-solutions.pdf.

An instructor's manual for this title is available electronically. Please send email to textbooks@ams.org for more information.

Readership

Undergraduate students interested in becoming mathematicians.

  • Cover
  • Preface
  • Contents
  • 1. Sets and Logic
  • 2. Proofs
  • 3. Number Theory
  • 4. Combinatorics
  • 5. Relations
  • 6. Functions and Cardinality
  • 7. Graph Theory
  • 8. Sequences
  • 9. Fibonacci Numbers and Pascal’s Triangle
  • 10. Continued Fractions
  • Answers or Hints for Selected Exercises
  • Bibliography
  • Index
  • Back Cover
  • This nice text is a welcome addition to existing literature on discrete mathematics, mathematical reasoning and proofs, and similar topics.

    Zentralblatt MATH
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