The Resource Handbook of mathematical induction : theory and applications, David S. Gunderson
Handbook of mathematical induction : theory and applications, David S. Gunderson
Resource Information
The item Handbook of mathematical induction : theory and applications, David S. Gunderson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Handbook of mathematical induction : theory and applications, David S. Gunderson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 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 wellordered 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 selfcontained 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 problemsolving process."Publisher's description
 Language
 eng
 Extent
 1 online resource (xxv, 893 pages)
 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
 Isbn
 9781420093650
 Label
 Handbook of mathematical induction : theory and applications
 Title
 Handbook of mathematical induction
 Title remainder
 theory and applications
 Statement of responsibility
 David S. Gunderson
 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 wellordered 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 selfcontained 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 problemsolving process."Publisher's description
 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
 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
 (ebook)
 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
 (AuPeEL)EBL5379135
 (CaPaEBR)ebr11554475
 (OCoLC)1035519175
 Label
 Handbook of mathematical induction : theory and applications, David S. Gunderson
 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
 (ebook)
 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
 (AuPeEL)EBL5379135
 (CaPaEBR)ebr11554475
 (OCoLC)1035519175
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Handbookofmathematicalinductiontheoryand/gcjkgQKLpIo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Handbookofmathematicalinductiontheoryand/gcjkgQKLpIo/">Handbook of mathematical induction : theory and applications, David S. Gunderson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>