ISBN: 9781138199019

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 … Mehr…

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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Taylor & Francis Core >1 >T<

ISBN: 9781138199019

Handbook of Mathematical Induction: Theory and Applicationsshows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the w… Mehr…

Handbook of Mathematical Induction: Theory and Applicationsshows 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. Books > Science & Nature > Math & Physics > Mathematics List_Books<

ISBN: 9781138199019

Paperback, [PU: Taylor & Francis Ltd], This comprehensive handbook presents hundreds of classical theorems and proofs that span many areas, including basic equalities and inequalities, co… Mehr…

Paperback, [PU: Taylor & Francis Ltd], This comprehensive handbook presents hundreds of classical theorems and proofs that span many areas, including basic equalities and inequalities, combinatorics, linear algebra, calculus, trigonometry, geometry, set theory, game theory, recursion, and algorithms. It derives many forms of mathematical induction, such as infinite descent and the axiom of choice, from basic principles. Requiring only a modest amount of mathematical maturity to understand most results and proofs, the book contains more than 750 exercises--with complete solutions to at least 500. It also includes nearly 600 bibliographic references, numerous cross references, and an extensive index of over 3,000 entries., Mathematics, Mathematical Logic, Set Theory, Discrete Mathematics, Combinatorics & Graph Theory, Operating Systems<

2016, ISBN: 113819901X

[EAN: 9781138199019], Neubuch, [PU: CRC Press], MATHEMATICS GENERAL MATHEMATICAL INDUCTION INDUCTIVE STEP PROOF INFINITE DESCENT HYPOTHESIS AXIOM OF CHOICE ZORN´S LEMMA WELL-ORDERED SETS … Mehr…

[EAN: 9781138199019], Neubuch, [PU: CRC Press], MATHEMATICS GENERAL MATHEMATICAL INDUCTION INDUCTIVE STEP PROOF INFINITE DESCENT HYPOTHESIS AXIOM OF CHOICE ZORN´S LEMMA WELL-ORDERED SETS BASE STRONG FIBONACCI NUMBERS DOUBLE HOLDS DOWNWARD, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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, ., Books<

2016, ISBN: 9781138199019

Taschenbuch

[ED: Kartoniert / Broschiert], [PU: CRC Press], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. David S. Gunderson is a professor and chai… Mehr…

[ED: Kartoniert / Broschiert], [PU: CRC Press], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 math, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Taschenbuch, 922, [GW: 1519g], 1. Auflage, Banküberweisung, PayPal, [CT: Naturwissenschaft/Mathematik / Sonstiges - Naturwissenschaften]<