Coverart for item
The Resource Handbook of mathematical induction : theory and applications, David S. Gunderson

Handbook of mathematical induction : theory and applications, David S. Gunderson

Label
Handbook of mathematical induction : theory and applications
Title
Handbook of mathematical induction
Title remainder
theory and applications
Statement of responsibility
David S. Gunderson
Creator
Author
Subject
Genre
Language
eng
Summary
"Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process."--Publisher's description
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Gunderson, David S
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Discrete mathematics and its applications
http://library.link/vocab/subjectName
  • Proof theory
  • Induction (Mathematics)
  • Logic, Symbolic and mathematical
  • Probabilities
Label
Handbook of mathematical induction : theory and applications, David S. Gunderson
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
What is mathematical induction? -- Foundations -- Variants of finite mathematical induction -- Inductive techniques applied to the infinite -- Paradoxes and sophisms from induction -- Empirical induction -- How to prove by induction -- The written MI proof -- Identities -- Inequalities -- Number theory -- Sequences -- Sets -- Logic and language -- Graphs -- Recursion and algorithms -- Games and recreations -- Relations and functions -- Linear and abstract algebra -- Geometry -- Ramsey theory -- Probability and statistics
Control code
EBC5379135
Dimensions
unknown
Extent
1 online resource (xxv, 893 pages)
Form of item
online
Isbn
9781420093650
Isbn Type
(e-book)
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2018. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
Other physical details
illustrations
Sound
unknown sound
Specific material designation
remote
System control number
  • (MiAaPQ)EBC5379135
  • (Au-PeEL)EBL5379135
  • (CaPaEBR)ebr11554475
  • (OCoLC)1035519175
Label
Handbook of mathematical induction : theory and applications, David S. Gunderson
Publication
Copyright
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
What is mathematical induction? -- Foundations -- Variants of finite mathematical induction -- Inductive techniques applied to the infinite -- Paradoxes and sophisms from induction -- Empirical induction -- How to prove by induction -- The written MI proof -- Identities -- Inequalities -- Number theory -- Sequences -- Sets -- Logic and language -- Graphs -- Recursion and algorithms -- Games and recreations -- Relations and functions -- Linear and abstract algebra -- Geometry -- Ramsey theory -- Probability and statistics
Control code
EBC5379135
Dimensions
unknown
Extent
1 online resource (xxv, 893 pages)
Form of item
online
Isbn
9781420093650
Isbn Type
(e-book)
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2018. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
Other physical details
illustrations
Sound
unknown sound
Specific material designation
remote
System control number
  • (MiAaPQ)EBC5379135
  • (Au-PeEL)EBL5379135
  • (CaPaEBR)ebr11554475
  • (OCoLC)1035519175

Library Locations

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      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
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