Elementary Real and Complex Analysis PDF Download
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Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486689227
Category : Mathematics
Languages : en
Pages : 548
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Book Description
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486689227
Category : Mathematics
Languages : en
Pages : 548
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Book Description
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486135004
Category : Mathematics
Languages : en
Pages : 544
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Book Description
DIVExcellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. /div
Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486318680
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.
Author: Georgiĭ Evgenʹevich Shilov
Publisher: MIT Press (MA)
ISBN:
Category : Calculus
Languages : en
Pages : 536
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Book Description
Georgi Shilov of Moscow University is one of the most respected of living mathematicians. It is a rather uncommon event when a mathematician as active and as creative as he is prepares a textbook at a relatively elementary level. This one is meant to be used by undergraduates, in most programs in their senior year, and it is written for science and engineering students as well as for mathematics majors. The book fully proves over 340 theorems and probably includes more examples and applications than any comparable text. It is organized into eleven chapters, each of which incorporates a problem set designed to illustrate, amplify, and enrich the material covered (selected hints and answers are given at the end). The starting point of the development is a set of axioms for real numbers (rather than a set of axioms for the natural numbers, as in some other approaches to the subject). The concepts next introduced include, roughly in their order of appearance, set theory, isomorphisms, n-dimensional space, and the field of complex numbers; metric spaces; a general theory of limits that comprises all those considered in analysis, from limits of a numerical sequence to the notions of the derivative and integral; continuous numerical functions on the real line, including the logarithmic, exponential, and the trigonometric functions; the algebra and topology of complex numbers and the fundamental theorem of algebra; infinite series, dealing not only with numerical series but also with those whose terms are vectors and functions (including power series); the differential calculus proper, with Taylor's series leading to a natural extension of real analysis into the complex domain; the general theory of Riemann integration; and, finally, the technique of analytic functions and a consideration of improper integrals that makes full use of the technique that has now been put at the student's disposal.
Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.
Author: Henri Cartan
Publisher: Courier Corporation
ISBN: 0486318672
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author: Rajnikant Sinha
Publisher: Springer
ISBN: 9811309388
Category : Mathematics
Languages : en
Pages : 645
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Book Description
This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.
Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486647623
Category : Mathematics
Languages : en
Pages : 308
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Book Description
The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.
Author: Kenneth A. Ross
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Author: Harold Gordon 1921- Eggleston
Publisher: Hassell Street Press
ISBN: 9781014644220
Category :
Languages : en
Pages : 300
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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
