Handbook of Mathematical Induction: Theory and Applications

Author:   David S. Gunderson (University of Manitoba, Winnipeg, Canada) ,  Kenneth H. Rosen (Monmouth University, Middletown, New Jersey, USA)
Publisher:   Taylor & Francis Ltd
Volume:   v. 58
ISBN:  

9781420093643


Pages:   922
Publication Date:   14 September 2010
Format:   Hardback
Availability:   In Print   Availability explained
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Handbook of Mathematical Induction: Theory and Applications


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Full Product Details

Author:   David S. Gunderson (University of Manitoba, Winnipeg, Canada) ,  Kenneth H. Rosen (Monmouth University, Middletown, New Jersey, USA)
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Volume:   v. 58
Dimensions:   Width: 17.80cm , Height: 4.60cm , Length: 25.40cm
Weight:   1.880kg
ISBN:  

9781420093643


ISBN 10:   1420093649
Pages:   922
Publication Date:   14 September 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Gunderson started out collecting some induction problems for discrete math students and then couldn't stop himself, thereafter assembling more than 750 of the addictive things for this handbook and supplementing them with a grounding in theory and discussion of applications. He offers 500-plus complete solutions, and many of the other problems come with hints or references; unlike other treatments, this handbook treats the subject seriously and is not just a 'collection of recipes'. It's a book that will work well with most math or computing science courses, on a subject that pertains to graph theory, point set topology, elementary number theory, linear algebra, analysis, probability theory, geometry, group theory, and game theory, among many other topics. --SciTech Book News, February 2011 ! a unique work ! the ostensibly narrow subject of mathematical induction is carefully and systematically expounded, from its more elementary aspects to some quite sophisticated uses of the technique. This is done with a (very proper!) emphasis on solving problems by means of some form of induction or other ! any of us who regularly teach the undergraduate course aimed at introducing mathematics majors to methods of proof quite simply need to own this book. ! In this boot camp course, it is imperative that problems should be abundant, both in supply and variety, and should be capable of careful dissection. Gunderson hit[s] the mark on both counts ! Gunderson's discussions are evocative and thorough and can be appreciated by mathematicians of all sorts ! [he] develop[s] the requisite surrounding material with great care, considerably enhancing the value of his book as a supplementary text for a huge number of courses, both at an undergraduate and graduate level ! a very welcome addition to the literature ! --MAA Reviews, December 2010


Gunderson started out collecting some induction problems for discrete math students and then couldn't stop himself, thereafter assembling more than 750 of the addictive things for this handbook and supplementing them with a grounding in theory and discussion of applications. He offers 500-plus complete solutions, and many of the other problems come with hints or references; unlike other treatments, this handbook treats the subject seriously and is not just a 'collection of recipes'. It's a book that will work well with most math or computing science courses, on a subject that pertains to graph theory, point set topology, elementary number theory, linear algebra, analysis, probability theory, geometry, group theory, and game theory, among many other topics. -SciTech Book News, February 2011 ... a unique work ... the ostensibly narrow subject of mathematical induction is carefully and systematically expounded, from its more elementary aspects to some quite sophisticated uses of the technique. This is done with a (very proper!) emphasis on solving problems by means of some form of induction or other ... any of us who regularly teach the undergraduate course aimed at introducing mathematics majors to methods of proof quite simply need to own this book. ... In this boot camp course, it is imperative that problems should be abundant, both in supply and variety, and should be capable of careful dissection. Gunderson hit[s] the mark on both counts ... Gunderson's discussions are evocative and thorough and can be appreciated by mathematicians of all sorts ... [he] develop[s] the requisite surrounding material with great care, considerably enhancing the value of his book as a supplementary text for a huge number of courses, both at an undergraduate and graduate level ... a very welcome addition to the literature ... -MAA Reviews, December 2010


Author Information

David S. Gunderson is a professor and chair of the Department of Mathematics at the University of Manitoba in Winnipeg, Canada. He earned his Ph.D. in pure mathematics from Emory University. His research interests include Ramsey theory, extremal graph theory, combinatorial geometry, combinatorial number theory, and lattice theory.

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