Introductory Real Analysis (Dover Books on Mathematics)

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9780486612263: Introductory Real Analysis (Dover Books on Mathematics)

This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus.
The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section — there are 37 in all — is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched.
With these problems and the clear exposition, this book is useful for self-study or for the classroom — it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Language Notes :

Text: English, Russian (translation)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Kolmogorov, A. N.
ISBN 10 : 0486612260 ISBN 13 : 9780486612263
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Description du livre 1975. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. N° de réf. du libraire V0-9780486612263

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A. N. Kolmogorov, S. V. Fomin
Edité par Dover Publications Inc., United States (1998)
ISBN 10 : 0486612260 ISBN 13 : 9780486612263
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Description du livre Dover Publications Inc., United States, 1998. Paperback. État : New. New edition. Language: English . Brand New Book. This volume in Richard Silverman s exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini s theorem, and the Stieltjes integral. Each individual section -- there are 37 in all -- is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for self-study or for the classroom -- it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable. N° de réf. du libraire AA99780486612263

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A. N. Kolmogorov, S. V. Fomin
Edité par Dover Publications Inc., United States (1998)
ISBN 10 : 0486612260 ISBN 13 : 9780486612263
Neuf(s) Paperback Quantité : 10
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The Book Depository
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Description du livre Dover Publications Inc., United States, 1998. Paperback. État : New. New edition. Language: English . Brand New Book. This volume in Richard Silverman s exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini s theorem, and the Stieltjes integral. Each individual section -- there are 37 in all -- is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for self-study or for the classroom -- it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable. N° de réf. du libraire AA99780486612263

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Kolmogorov, A. N.
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Description du livre 1975. PAP. État : New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. N° de réf. du libraire IB-9780486612263

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A. N. Kolmogorov
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Kolmogorov, A. N.; Fomin, S. V.
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S. V. Fomin A. N. Kolmogorov
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A. N. Kolmogorov, S. V. Fomin
Edité par Dover Publications Inc., United States (1998)
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Description du livre Dover Publications Inc., United States, 1998. Paperback. État : New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This volume in Richard Silverman s exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini s theorem, and the Stieltjes integral. Each individual section -- there are 37 in all -- is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for self-study or for the classroom -- it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable. N° de réf. du libraire BTE9780486612263

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A. N. Kolmogorov
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ISBN 10 : 0486612260 ISBN 13 : 9780486612263
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Description du livre Dover Publications Inc. 2000-01-02, New York, 2000. paperback. État : New. N° de réf. du libraire 9780486612263

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