Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics)

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9780387982359: Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics)
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The present volume contains all the exercises and their solutions for Lang's second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary­ ing difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, the inverse and implicit mapping theorem, ordinary differential equations, multiple integrals, and differential forms. My objective is to offer those learning and teaching analysis at the undergraduate level a large number of completed exercises and I hope that this book, which contains over 600 exercises covering the topics mentioned above, will achieve my goal. The exercises are an integral part of Lang's book and I encourage the reader to work through all of them. In some cases, the problems in the beginning chapters are used in later ones, for example, in Chapter IV when one constructs-bump functions, which are used to smooth out singulari­ ties, and prove that the space of functions is dense in the space of regu­ lated maps. The numbering of the problems is as follows. Exercise IX. 5. 7 indicates Exercise 7, §5, of Chapter IX. Acknowledgments I am grateful to Serge Lang for his help and enthusiasm in this project, as well as for teaching me mathematics (and much more) with so much generosity and patience.

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Shakarchi, Rami; Shakarchi, R.; Lang, Serge
Editorial: Springer (1998)
ISBN 10: 0387982353 ISBN 13: 9780387982359
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Descripción Springer, 1998. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería KP9780387982359

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Shakarchi, Rami
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Descripción Springer 1998-02, 1998. Estado de conservación: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-LSI-06921714

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Descripción Springer, 1997. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0387982353

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Descripción Springer-Verlag New York Inc., United States, 1998. Paperback. Estado de conservación: New. 1998 ed.. 232 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. The present volume contains all the exercises and their solutions for Lang s second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary- ing difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, the inverse and implicit mapping theorem, ordinary differential equations, multiple integrals, and differential forms. My objective is to offer those learning and teaching analysis at the undergraduate level a large number of completed exercises and I hope that this book, which contains over 600 exercises covering the topics mentioned above, will achieve my goal. The exercises are an integral part of Lang s book and I encourage the reader to work through all of them. In some cases, the problems in the beginning chapters are used in later ones, for example, in Chapter IV when one constructs-bump functions, which are used to smooth out singulari- ties, and prove that the space of functions is dense in the space of regu- lated maps. The numbering of the problems is as follows. Exercise IX. 5. 7 indicates Exercise 7, 5, of Chapter IX. Acknowledgments I am grateful to Serge Lang for his help and enthusiasm in this project, as well as for teaching me mathematics (and much more) with so much generosity and patience. Nº de ref. de la librería AAV9780387982359

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Rami Shakarchi
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Descripción Springer-Verlag New York Inc., United States, 1998. Paperback. Estado de conservación: New. 1998 ed.. 232 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.The present volume contains all the exercises and their solutions for Lang s second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary- ing difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, the inverse and implicit mapping theorem, ordinary differential equations, multiple integrals, and differential forms. My objective is to offer those learning and teaching analysis at the undergraduate level a large number of completed exercises and I hope that this book, which contains over 600 exercises covering the topics mentioned above, will achieve my goal. The exercises are an integral part of Lang s book and I encourage the reader to work through all of them. In some cases, the problems in the beginning chapters are used in later ones, for example, in Chapter IV when one constructs-bump functions, which are used to smooth out singulari- ties, and prove that the space of functions is dense in the space of regu- lated maps. The numbering of the problems is as follows. Exercise IX. 5. 7 indicates Exercise 7, 5, of Chapter IX. Acknowledgments I am grateful to Serge Lang for his help and enthusiasm in this project, as well as for teaching me mathematics (and much more) with so much generosity and patience. Nº de ref. de la librería AAV9780387982359

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Rami Shakarchi
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Descripción Springer, 1997. Paperback. Estado de conservación: New. 1998. This item is printed on demand. Nº de ref. de la librería DADAX0387982353

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Rami Shakarchi
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Descripción Springer-Verlag New York Inc., 1997. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería I2-9780387982359

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Rami Shakarchi
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Descripción Springer-Verlag New York Inc., 1997. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780387982359

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RAMI SHAKARCHI
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Descripción Springer, 1997. Paperback. Estado de conservación: NEW. 9780387982359 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0411353

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Shakarchi, Rami
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