Tools of the Trade Introduction to Advanced Mathematics

ISBN-10: 0821846345
ISBN-13: 9780821846346
Edition: 2008
List price: $53.00
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Description: "This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis  More...

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Book details

List price: $53.00
Copyright year: 2008
Publisher: American Mathematical Society
Publication date: 8/12/2008
Binding: Hardcover
Pages: 193
Size: 7.50" wide x 10.50" long x 0.75" tall
Weight: 1.188
Language: English

"This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics." "Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such as group theory, convergence of infinite series, decimal expansions of real numbers, point set topology and topological groups. They are carefully designed to guide the student through the subject matter. Together with numerous exercises included in the book, these projects may be used as part of the regular classroom presentation, as self-study projects for students, or for Inquiry Based Learning activities presented by the students."--BOOK JACKET.

Sets, functions, and other basic ideas
Linear algebra The construction of the real and complex numbers
Metric and Euclidean spaces
Complete metric spaces and the $p$-adic completion of $\mathbb{Q}$
Index

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