Handbook of mathematical induction:theory and applications
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Main Authors: | |
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Published: |
CRC Press,
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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. |