Basic Language of Mathematics

Basic Language of Mathematics

Juan Jorge Schaffer
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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.

Readership: Undergraduate and graduate students in mathematics; Mathematicians.

Categorias:
Ano:
2014
Editora:
World Scientific Publishing Company
Idioma:
english
Páginas:
320
ISBN 10:
9814596094
ISBN 13:
9789814596091
Arquivo:
PDF, 2.52 MB
IPFS:
CID , CID Blake2b
english, 2014
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