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Analysis :An Introduction.

Beals, Richard.

Analysis :An Introduction.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analysis :
其他題名:	An Introduction.
作者:	Beals, Richard.
出版者:	Leiden :Cambridge University Press,2004.
面頁冊數:	273 p.
電子資源:	Click here to view book
ISBN:	9780511755163 (electronic bk.)

Analysis :An Introduction.
Beals, Richard.

Analysis :An Introduction.[electronic resource]. - Leiden :Cambridge University Press,2004. - 273 p.

Cover; Half-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 The Real and Complex Numbers; 3 Real and Complex Sequences; 4 Series; 5 Power Series; 6 Metric Spaces; 7 Continuous Functions; 8 Calculus; 9 Some Special Functions; 10 Lebesgue Measure on the Line; 11 Lebesgue Integration on the Line; 12 Integration and Function Spaces; 13 Fourier Series; 14 Applications of Fourier Series; 15 Ordinary Differential Equations; Appendix The Banach-Tarski Paradox; Hints for Some Exercises; Notation Index; General Index

This book is a text on mathematical analysis suitable for graduate students and advanced undergraduates. It provides an extensive introduction to proof and to rigorous mathematical thinking. It contains many remarks and examples and 500 exercises designed to provide motivation, test understanding, help practice mathematical writing and explore additional topics.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511755163 (electronic bk.)Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA300 . / B4124 2004

Dewey Class. No.: 515

Analysis :An Introduction.
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520 $a This book is a text on mathematical analysis suitable for graduate students and advanced undergraduates. It provides an extensive introduction to proof and to rigorous mathematical thinking. It contains many remarks and examples and 500 exercises designed to provide motivation, test understanding, help practice mathematical writing and explore additional topics.
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