A01=Juan Jorge Schaffer
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Author_Juan Jorge Schaffer
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Category1=Non-Fiction
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COP=Singapore
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Families
Inductive Proofs
Language_English
Mappings
Natural Numbers
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Price_€50 to €100
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Real Numbers
Recursive Definitions
Sets
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Product details
- ISBN 9789814596091
- Publication Date: 07 Jul 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.The book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as such distinct procedures as proof by induction and recursive definition, and the interaction between these ideas; with attempts at including insightful notes on historic and cultural settings and information on alternative presentations. The work ends with an excursion on infinite sets, principally a discussion of the mathematics of Axiom of Choice and often very useful equivalent statements.
