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Synopsis
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.
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About the Author
Richard Beals is James E. English Professor of Mathematics at Yale University. He has also served as Professor at the University of Chicago and visiting Professor at the University of Paris, Orsay. He is the author of over 100 research papers and monographs in partial differential equations, differential equations, functional analysis, inverse problems, mathematical physics, mathematical psychology and mathematical economics.
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Analysis : An Introduction
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Cambridge University Press, 2004
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ISBN 13: 9780521600477
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Analysis: An Introduction
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ISBN 13: 9780521600477
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Analysis: An Introduction
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Analysis : An Introduction
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Analysis
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Paperback. Condition: New. 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. Seller Inventory # LU-9780521600477
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Analysis : An Introduction
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Analysis: An Introduction
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Condition: Sehr gut. Illustrated. 272 S. Verkaufsfördernde Inhaltsbeschreibung: This university-level textbook provides a clear and systematic introduction to mathematical analysis. Richard Beals explains the fundamental concepts of limits, continuity, differentiation and integration while emphasizing rigorous mathematical reasoning and proof techniques. Carefully structured chapters, numerous examples and well-designed exercises make the book an excellent resource for undergraduate students of mathematics, engineering and the natural sciences as well as for independent study. Warum dieses Buch interessant ist: Comprehensive introduction to mathematical analysis in English. Clear explanations combined with rigorous mathematical foundations. Suitable for university courses and independent study. Numerous examples and exercises support effective learning. A valuable textbook for mathematics, engineering and science students. Butterfly Books Wissensnotiz: Mathematical analysis forms the foundation of higher mathematics and is essential for disciplines such as engineering, physics, computer science and economics. It provides the theoretical framework for understanding change, continuity and mathematical modeling. HC-915-6/8-01384799 Sprache: Englisch Gewicht in Gramm: 490 Taschenbuch, Maße: 18.9 cm x 1.57 cm x 24.61 cm. Seller Inventory # 440630
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