Sinossi
Stromberg discusses classical analysis that is real in the sense that he does not include any of the Cauchy theory of analytic functions. He considers infinite series and products in the setting of complex numbers, so complex numbers appear throughout, and he defines elementary functions as functions of a complex variable. He also departs from the classical themes when he presents limits and continuity in the context of abstract topological and metric spaces. He intends the textbook to be for an advanced undergraduate or beginning graduate course preparing students for learning complex and abstract analysis. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
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An Introduction To Classical Real Analys
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American Mathematical Society, 2015
ISBN 10: 1470425440
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Condizione: New. Originally published: Belmont, California: Wadsworth, 1981. Series: AMS Chelsea Publishing. Num Pages: 575 pages, illustrations. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 254 x 178. . . 2015. Hardback. . . . . Codice articolo V9781470425449
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Hardcover. Condizione: Brand New. 575 pages. 10.00x7.00x1.25 inches. In Stock. Codice articolo __1470425440
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An Introduction to Classical Real Analysis
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American Mathematical Society, US, 2015
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Hardback. Condizione: New. This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book.One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line. There are at least three good reasons for doing this. First, this approach is no more difficult to understand than is the traditional theory of the Riemann integral. Second, the readers will profit from acquiring a thorough understanding of Lebesgue integration on Euclidean spaces before they enter into a study of abstract measure theory. Third, this is the integral that is most useful to current applied mathematicians and theoretical scientists, and is essential for any serious work with trigonometric series.The exercise sets are a particularly attractive feature of this book. A great many of the exercises are projects of many parts which, when completed in the order given, lead the student by easy stages to important and interesting results. Many of the exercises are supplied with copious hints. This new printing contains a large number of corrections and a short author biography as well as a list of selected publications of the author. Codice articolo LU-9781470425449
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An Introduction To Classical Real Analys
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Condizione: New. Originally published: Belmont, California: Wadsworth, 1981. Series: AMS Chelsea Publishing. Num Pages: 575 pages, illustrations. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 254 x 178. . . 2015. Hardback. . . . . Books ship from the US and Ireland. Codice articolo V9781470425449
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An Introduction to Classical Real Analysis
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American Mathematical Society, US, 2015
ISBN 10: 1470425440
ISBN 13: 9781470425449
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Hardback. Condizione: New. This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book.One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line. There are at least three good reasons for doing this. First, this approach is no more difficult to understand than is the traditional theory of the Riemann integral. Second, the readers will profit from acquiring a thorough understanding of Lebesgue integration on Euclidean spaces before they enter into a study of abstract measure theory. Third, this is the integral that is most useful to current applied mathematicians and theoretical scientists, and is essential for any serious work with trigonometric series.The exercise sets are a particularly attractive feature of this book. A great many of the exercises are projects of many parts which, when completed in the order given, lead the student by easy stages to important and interesting results. Many of the exercises are supplied with copious hints. This new printing contains a large number of corrections and a short author biography as well as a list of selected publications of the author. Codice articolo LU-9781470425449
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