skip to content
The induction book Preview this item
ClosePreview this item
Checking...

The induction book

Author: Steven H Weintraub
Publisher: Mineola, New York : Dover Publications, Inc., 2017.
Series: Aurora: Dover modern math originals.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Mathematical induction -- along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — constitute essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides an introduction and a thorough exposure to these proof techniques. Geared  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Steven H Weintraub
ISBN: 0486811999 9780486811994
OCLC Number: 961152786
Notes: Includes index.
Description: ix, 111 pages : illustrations ; 23 cm.
Series Title: Aurora: Dover modern math originals.
Responsibility: Steven H. Weintraub, Lehigh University.

Abstract:

Mathematical induction -- along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — constitute essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides an introduction and a thorough exposure to these proof techniques. Geared toward students of mathematics at all levels, the text is particularly suitable for courses in mathematical induction, theorem-proving, and problem-solving.The treatment begins with both intuitive and formal explanations of mathematical induction and its equivalents. The next chapter presents many problems consisting of results to be proved by induction, with solutions omitted to enable instructors to assign them to students. Problems vary in difficulty; the majority of them require little background, and the most advanced involve calculus or linear algebra. The final chapter features proofs too complicated for students to find on their own, some of which are famous theorems by well-known mathematicians. For these beautiful and important theorems, the author provides expositions and proofs. The text concludes with a helpful Appendix providing the logical equivalence of the various forms of induction.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/961152786> # The induction book
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "961152786" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://dewey.info/class/511.322/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/4210049647#Topic/induction_mathematics> ; # Induction (Mathematics)
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/4210049647#Person/weintraub_steven_h> ; # Steven H. Weintraub
   schema:datePublished "2017" ;
   schema:description "Mathematical induction -- along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — constitute essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides an introduction and a thorough exposure to these proof techniques. Geared toward students of mathematics at all levels, the text is particularly suitable for courses in mathematical induction, theorem-proving, and problem-solving.The treatment begins with both intuitive and formal explanations of mathematical induction and its equivalents. The next chapter presents many problems consisting of results to be proved by induction, with solutions omitted to enable instructors to assign them to students. Problems vary in difficulty; the majority of them require little background, and the most advanced involve calculus or linear algebra. The final chapter features proofs too complicated for students to find on their own, some of which are famous theorems by well-known mathematicians. For these beautiful and important theorems, the author provides expositions and proofs. The text concludes with a helpful Appendix providing the logical equivalence of the various forms of induction."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/4210049647> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/4210049647#Series/aurora_dover_modern_math_originals> ; # Aurora: Dover modern math originals.
   schema:name "The induction book"@en ;
   schema:productID "961152786" ;
   schema:workExample <http://worldcat.org/isbn/9780486811994> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/961152786> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/4210049647#Person/weintraub_steven_h> # Steven H. Weintraub
    a schema:Person ;
   schema:familyName "Weintraub" ;
   schema:givenName "Steven H." ;
   schema:name "Steven H. Weintraub" ;
    .

<http://experiment.worldcat.org/entity/work/data/4210049647#Series/aurora_dover_modern_math_originals> # Aurora: Dover modern math originals.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/961152786> ; # The induction book
   schema:name "Aurora: Dover modern math originals." ;
   schema:name "Aurora: Dover modern math originals" ;
    .

<http://experiment.worldcat.org/entity/work/data/4210049647#Topic/induction_mathematics> # Induction (Mathematics)
    a schema:Intangible ;
   schema:name "Induction (Mathematics)"@en ;
    .

<http://worldcat.org/isbn/9780486811994>
    a schema:ProductModel ;
   schema:isbn "0486811999" ;
   schema:isbn "9780486811994" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.