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Handbook of Mathematical Induction: Theory and Applications
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DescrizioneThis comprehensive handbook enables readers to prove hundreds of mathematical results. It presents the formal development of natural numbers from axioms, which leads into set theory and transfinite induction. The book covers Peanoa (TM)s axioms, weak and strong induction, double induction, infinite descent downward induction, and variants of these inductions. It also contains numerous exercises highlighting the various levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. The final section includes solutions to all exercises in long form so that no steps are omitted.
Dettagli del libro
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Titolo:
Handbook of Mathematical Induction: Theory and Applications
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Autore:
David S. Gunderson
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Editore:
CRC Press
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Data di Pubblicazione:
September 2010
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ISBN:
1420093649
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ISBN-13:
9781420093643
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Pagine:
00921
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Reparto:
Set Theory
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