Handbook of mathematical induction:theory and applications

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Bibliographic Details
Main Authors: Gunderson David S.
Published: CRC Press,
Publisher Address: Boca Raton, FL
Publication Dates: c2011.
Literature type: Book
Language: English
Series: Discrete mathematics and its applications
Subjects:
Carrier Form: xxv, 893 p.: ill. ; 27 cm.
ISBN: 9781420093643 (hardcover : alk. paper)
1420093649 (hardcover : alk. paper)
Index Number: O141
CLC: O141.2
Call Number: O141.2/G975
Contents: Includes bibliographical references and indexes.
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.