Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis) (Bk. 4)

 
9780691113876: Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis) (Bk. 4)

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject.



  • A comprehensive and authoritative text that treats some of the main topics of modern analysis

  • A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables

  • Key results in each area discussed in relation to other areas of mathematics

  • Highlights the organic unity of large areas of analysis traditionally split into subfields

  • Interesting exercises and problems illustrate ideas

  • Clear proofs provided

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

From the Inside Flap :


"This book introduces basic functional analysis, probability theory, and most importantly, aspects of modern analysis that have developed over the last half century. It is the first student-oriented textbook where all of these topics are brought together with lots of interesting exercises and problems. This is a valuable addition to the literature."--Gerald B. Folland, University of Washington


About the Author :

Elias M. Stein is the Albert Baldwin Dod Professor of Mathematics at Princeton University. Rami Shakarchi received his PhD in mathematics from Princeton University. They are the coauthors of Complex Analysis, Fourier Analysis, and Real Analysis (all Princeton).

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Stein, Elias M.
Edité par Ewing, New Jersey, U.S.A.: Princeton Univ Pr (2010)
ISBN 10 : 0691113874 ISBN 13 : 9780691113876
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Description du livre Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 2010. Soft cover. État : New. Etat de la jaquette : New. International Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments will sent out by DHL/UPS or standard post mail with tracking numbers in one to two working days after the orders confirmed. N° de réf. du libraire ABE-9165742357

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Stein, Elias M.
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Elias Stein
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Stein, Elias M.; Shakarchi, Rami
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Description du livre Princeton University Press, 2011. État : New. 2011. Hardcover. Beginning with the basic facts of functional analysis, this title looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. It uses the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. Num Pages: 448 pages, 27 line illus. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 242 x 162 x 31. Weight in Grams: 764. . . . . . . N° de réf. du libraire V9780691113876

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Elias Stein, Rami Shakarchi
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Description du livre Princeton University Press 2011-09-23, Princeton, N.J. |Woodstock, 2011. hardback. État : New. N° de réf. du libraire 9780691113876

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Description du livre Princeton University Press, United States, 2011. Hardback. État : New. Language: English . Brand New Book. This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet s problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject.* A comprehensive and authoritative text that treats some of the main topics of modern analysis * A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables * Key results in each area discussed in relation to other areas of mathematics * Highlights the organic unity of large areas of analysis traditionally split into subfields * Interesting exercises and problems illustrate ideas * Clear proofs provided. N° de réf. du libraire AAU9780691113876

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Elias M. Stein, Rami Shakarchi
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ISBN 10 : 0691113874 ISBN 13 : 9780691113876
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Description du livre Princeton University Press, United States, 2011. Hardback. État : New. Language: English . Brand New Book. This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet s problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject. * A comprehensive and authoritative text that treats some of the main topics of modern analysis * A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables * Key results in each area discussed in relation to other areas of mathematics * Highlights the organic unity of large areas of analysis traditionally split into subfields * Interesting exercises and problems illustrate ideas * Clear proofs provided. N° de réf. du libraire AAU9780691113876

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Stein, Elias M.
Edité par Ewing, New Jersey, U.S.A.: Princeton Univ Pr (2010)
ISBN 10 : 0691113874 ISBN 13 : 9780691113876
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Description du livre Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 2010. Soft cover. État : New. Etat de la jaquette : New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. N° de réf. du libraire ABE-9165742367

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Description du livre Princeton University Press. État : New. 2011. Hardcover. Beginning with the basic facts of functional analysis, this title looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. It uses the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. Num Pages: 448 pages, 27 line illus. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 242 x 162 x 31. Weight in Grams: 764. . . . . . Books ship from the US and Ireland. N° de réf. du libraire V9780691113876

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