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Undergraduate Texts in Mathematics

Introduction to Discrete Mathematics via Logic and Proof

Authors: Jongsma, Calvin

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  • Emphasizes fundamentals of deductive logic to prepare students for a coherent collection of core topics in discrete mathematics
  • Introduces the reading and writing of proofs by using a natural deduction approach to mathematical logic
  • Engages students through a wide selection of interesting and novel exercises
  • Highlights historical developments and connections between topics throughout
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eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-030-25358-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-030-25357-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades.

Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include:

  • Mathematical and structural induction
  • Set theory
  • Combinatorics
  • Functions, relations, and ordered sets
  • Boolean algebra and Boolean functions
  • Graph theory

Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.

About the authors

Calvin Jongsma is Emeritus Professor of Mathematics at Dordt University in Sioux Center, Iowa. His research interests include logic and proof, the history and philosophy of mathematics, foundations of mathematics, and mathematics education.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-030-25358-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-030-25357-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Discrete Mathematics via Logic and Proof
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-25358-5
DOI
10.1007/978-3-030-25358-5
Hardcover ISBN
978-3-030-25357-8
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XX, 482
Number of Illustrations
849 b/w illustrations, 5 illustrations in colour
Topics