Basic Language of Mathematics PDF
By:Juan Jorge Schäffer
Published on 2014-05-16 by World Scientific
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. Contents:SetsMappingsProperties of MappingsFamiliesRelationsOrdered SetsCompletely Ordered SetsInduction and RecursionThe Natural NumbersFinite SetsFinite SumsCountable SetsSome Algebraic StructuresThe Real Numbers: Complete Ordered FieldsThe Real Number SystemThe Real Numbers: ExistenceInfinite Sets Readership: Undergraduate and graduate students in mathematics; Mathematicians. Key Features:Comprehensive and rigorous in its coverageProvides alternative insights on concepts and definitionsProvides a list of sections with some unusual but insightful approachesKeywords:Sets;Mappings;Families;Order;Natural Numbers;Inductive Proofs;Recursive Definitions;Real Numbers
This Book was ranked at 27 by Google Books for keyword mathematics about sets.
Book ID of Basic Language of Mathematics's Books is Dge3CgAAQBAJ, Book which was written byJuan Jorge Schäfferhave ETAG "bYj8XnB0sX4"
Book which was published by World Scientific since 2014-05-16 have ISBNs, ISBN 13 Code is 9789814596114 and ISBN 10 Code is 9814596116
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Book which have "320 Pages" is Printed at BOOK under CategoryMathematics
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Download Basic Language of Mathematics Books Free
Download Basic Language of Mathematics Free
Download Basic Language of Mathematics PDF
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