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Analysis :an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515
書名/作者:	Analysis : : an introduction // Richard Beals.
作者:	Beals, Richard,
面頁冊數:	1 online resource (ix, 261 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Mathematical analysis.
ISBN:	9780511755163 (ebook)
內容註:	Introduction -- The real and complex numbers -- Real and complex sequences -- Series -- Power series -- Metric spaces -- Continuous functions -- Calculus -- Some special functions -- Lebesgue measure on the Line -- Lebesgue integration on the line -- Function spaces -- Fourier series -- Applications of Fourier Series -- Ordinary differential equations -- Appendix: The Banach-Tarski paradox.
摘要、提要註:	This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.
電子資源:	http://dx.doi.org/10.1017/CBO9780511755163

Analysis :an introduction /
Beals, Richard,1938-

Analysis :an introduction /Richard Beals. - 1 online resource (ix, 261 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- The real and complex numbers -- Real and complex sequences -- Series -- Power series -- Metric spaces -- Continuous functions -- Calculus -- Some special functions -- Lebesgue measure on the Line -- Lebesgue integration on the line -- Function spaces -- Fourier series -- Applications of Fourier Series -- Ordinary differential equations -- Appendix: The Banach-Tarski paradox.

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

ISBN: 9780511755163 (ebook)Subjects--Topical Terms:

227335
Mathematical analysis.

LC Class. No.: QA300 / .B4124 2004

Dewey Class. No.: 515

Analysis :an introduction /
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505 0 $a Introduction -- The real and complex numbers -- Real and complex sequences -- Series -- Power series -- Metric spaces -- Continuous functions -- Calculus -- Some special functions -- Lebesgue measure on the Line -- Lebesgue integration on the line -- Function spaces -- Fourier series -- Applications of Fourier Series -- Ordinary differential equations -- Appendix: The Banach-Tarski paradox.
520 $a This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.
650 0 $a Mathematical analysis. $3 227335
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856 4 0 $u http://dx.doi.org/10.1017/CBO9780511755163