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The elements of advanced mathematics

Author: Steven G Krantz
Publisher: Boca Raton, Fla. : Chapman & Hall, ©2002.
Series: Studies in advanced mathematics.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
"The gap between the rote, calculational learning mode of calculus and ordinary differential equations and the more theoretical learning mode of analysis and abstract algebra grows ever wider and more distinct, and students' need for a well-guided transition grows with it. For more than six years, the bestselling first edition of this classic text has helped them cross the mathematical bridge to more advanced  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Steven G Krantz
ISBN: 1584883030 9781584883036
OCLC Number: 48256478
Description: xvii, 214 pages : illustrations ; 24 cm.
Contents: 1. Basic Logic --
2. Methods of Proof --
3. Set Theory --
4. Relations and Functions --
5. Axioms of Set Theory, Paradoxes, and Rigor --
6. Number Systems --
7. More on the Real Number System --
8. Examples of Axiomatic Theories.
Series Title: Studies in advanced mathematics.
Responsibility: Steven G. Krantz.
More information:

Abstract:

Explains propositional, predicate, and first-order logic, especially valuable in theoretical computer science. This book explores the deeper properties of the real numbers, including topological  Read more...

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"The book helps students to cross the mathematical bridge to more advanced studies in topics such as topology, abstract algebra, and real analysis. It builds the background, tools, and skills Read more...

 
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