A (terse) Introduction to Lebesgue Integration (Student Mathematical Library)

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9780821848623: A (terse) Introduction to Lebesgue Integration (Student Mathematical Library)

Book by John Franks

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This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. Despite the use of the word 'terse' in the title, this text might also have been called ""A (Gentle) Introduction to Lebesgue Integration"". It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to R as opposed to Rn. After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for L2 functions on the interval and shows that the Fourier series of an L2 function converges in L2 to that function. Chapter 7 introduces some concepts from measurable dynamics. The Birkhoff ergodic theorem is stated without proof and results on Fourier series from chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic. This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis.

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John Franks
ISBN 10: 0821848623 ISBN 13: 9780821848623
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218486230000000

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John Franks
Editorial: American Mathematical Society, United States (2009)
ISBN 10: 0821848623 ISBN 13: 9780821848623
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Descripción American Mathematical Society, United States, 2009. Paperback. Estado de conservación: New. 208 x 147 mm. Language: English . Brand New Book. This book provides a student s first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. Despite the use of the word terse in the title, this text might also have been called A (Gentle) Introduction to Lebesgue Integration . It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to R as opposed to Rn. After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for L2 functions on the interval and shows that the Fourier series of an L2 function converges in L2 to that function. Chapter 7 introduces some concepts from measurable dynamics.The Birkhoff ergodic theorem is stated without proof and results on Fourier series from chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic. This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis. Nº de ref. de la librería AAN9780821848623

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John Franks
Editorial: American Mathematical Society, United States (2009)
ISBN 10: 0821848623 ISBN 13: 9780821848623
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The Book Depository US
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Descripción American Mathematical Society, United States, 2009. Paperback. Estado de conservación: New. 208 x 147 mm. Language: English . Brand New Book. This book provides a student s first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. Despite the use of the word terse in the title, this text might also have been called A (Gentle) Introduction to Lebesgue Integration . It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to R as opposed to Rn. After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for L2 functions on the interval and shows that the Fourier series of an L2 function converges in L2 to that function. Chapter 7 introduces some concepts from measurable dynamics.The Birkhoff ergodic theorem is stated without proof and results on Fourier series from chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic. This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis. Nº de ref. de la librería AAN9780821848623

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John Franks
Editorial: American Mathematical Society
ISBN 10: 0821848623 ISBN 13: 9780821848623
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Descripción American Mathematical Society. Paperback. Estado de conservación: new. BRAND NEW, A (terse) Introduction to Lebesgue Integration, John Franks, This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. Despite the use of the word 'terse' in the title, this text might also have been called ""A (Gentle) Introduction to Lebesgue Integration"". It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to R as opposed to Rn. After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for L2 functions on the interval and shows that the Fourier series of an L2 function converges in L2 to that function. Chapter 7 introduces some concepts from measurable dynamics. The Birkhoff ergodic theorem is stated without proof and results on Fourier series from chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic. This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis. Nº de ref. de la librería B9780821848623

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John Franks
Editorial: American Mathematical Society (2009)
ISBN 10: 0821848623 ISBN 13: 9780821848623
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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821848623

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms.Despite the use of the word "terse" in the title, this text might also have been called A (Gentle) Introduction to Lebesgue Integration. It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to $R$ as opposed to $R^n$.After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for $L^2$ functions on the interval and shows that the Fourier series of an $L^2$ function converges in $L^2$ to that function. Chapter 7 introduces some concepts from measurable dynamics. The Birkhoff ergodic theorem is stated without proof and results on Fourier series from Chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic.This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis. Nº de ref. de la librería 1006100172

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: Brand New. 202 pages. 8.20x5.80x0.70 inches. In Stock. Nº de ref. de la librería __0821848623

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0821848623

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. Nº de ref. de la librería P110821848623

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