A First Course in Sobolev Spaces

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9780821847688: A First Course in Sobolev Spaces

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises.

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Giovanni Leoni
Editore: American Mathematical Society (2009)
ISBN 10: 0821847686 ISBN 13: 9780821847688
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis.The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables.The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces.The book contains over 200 exercises. Codice libro della libreria 1007130034

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Giovanni Leoni
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ISBN 10: 0821847686 ISBN 13: 9780821847688
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Dispatched, from the UK, within 48 hours of ordering. This book is in Brand New condition. Codice libro della libreria CHL1730960

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218476880000000

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ISBN 10: 0821847686 ISBN 13: 9780821847688
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 260 x 184 mm. Language: English . Brand New Book. Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises. Codice libro della libreria AAN9780821847688

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Giovanni Leoni
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ISBN 10: 0821847686 ISBN 13: 9780821847688
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 260 x 184 mm. Language: English . Brand New Book. Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises. Codice libro della libreria AAN9780821847688

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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Codice libro della libreria SONG0821847686

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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821847686

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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, A First Course in Sobolev Spaces, Giovanni Leoni, Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises. Codice libro della libreria B9780821847688

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Giovanni Leoni
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821847686

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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Codice libro della libreria P110821847686

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