A Logical Introduction to Proof

Authors: Cunningham, Daniel

  • Identifies the important topics in logic that mathematicians use in their proofs
  • Methodically presents the key strategies used in mathematical proofs
  • Each proof strategy is illustrated by a variety of theorems concerning the natural, rational and real numbers
  • An introduction to group theory and real analysis that presents proof strategies for dealing with the core concepts introduced in these subjects
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eBook $44.99
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  • ISBN 978-1-4614-3631-7
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  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-1-4614-3630-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
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  • ISBN 978-1-4899-9099-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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About this Textbook

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.

Reviews

From the reviews:

“Cunningham (Buffalo State, SUNY) focuses on the strategies for different proof techniques. … The well-written text is consistent in its focus, which should help students. The book includes sufficient, appropriate exercises. … contains ample notes to guide students through most of the exercises. Whether used for a course or as a reference for students learning proof techniques, this book is certainly worthy of consideration. Summing Up: Highly recommended. Lower-division undergraduates through graduate students.” (J. R. Burke, Choice, Vol. 51 (1), September, 2013)

Table of contents (9 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-3631-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-1-4614-3630-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4899-9099-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Logical Introduction to Proof
Authors
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-3631-7
DOI
10.1007/978-1-4614-3631-7
Hardcover ISBN
978-1-4614-3630-0
Softcover ISBN
978-1-4899-9099-0
Edition Number
1
Number of Pages
XVI, 356
Topics