A Course on Integration Theory: Including More Than 150 Exercises With Detailed Answers - Couverture souple
Synopsis
This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.
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À propos de l?auteur
Nicolas Lerner is Professor at Université Pierre and Marie Curie in Paris, France. He held professorial positions in the United States (Purdue University), and in France. His research work is concerned with microlocal analysis and partial differential equations. His recent book Metrics on the Phase Space and Non-Selfadjoint Pseudodifferential Operators was published by Birkhäuser. He was an invited section speaker at the Beijing International Congress of Mathematicians in 2002.
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A Course on Integration Theory: including more than 150 exercises with detailed answers
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Birkhäuser, 2014
ISBN 10 : 3034806930
ISBN 13 : 9783034806930
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A Course on Integration Theory
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability. 512 pp. Englisch. N° de réf. du vendeur 9783034806930
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A Course on Integration Theory: including more than 150 exercises with detailed answers
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ISBN 10 : 3034806930
ISBN 13 : 9783034806930
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Etat : New. A Course on Integration Theory Num Pages: 492 pages, 12 black & white illustrations, 3 colour illustrations, biography. BIC Classification: PBKB; PBKL. Category: (P) Professional & Vocational. Dimension: 159 x 241 x 27. Weight in Grams: 774. . 2014. 2014th Edition. Paperback. . . . . N° de réf. du vendeur V9783034806930
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes over 150 exercises with detailed solutionsRequires no prior knowledge of advanced mathematics although the results proven in the book are not elementaryIs self-contained, providing detailed arguments for each statementI. N° de réf. du vendeur 4318326
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A Course on Integration Theory: including more than 150 exercises with detailed answers
Edité par
Birkhäuser, 2014
ISBN 10 : 3034806930
ISBN 13 : 9783034806930
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A Course on Integration Theory: Including More Than 150 Exercises With Detailed Answers
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A Course on Integration Theory: including more than 150 exercises with detailed answers
Edité par
Birkhauser Verlag AG, 2014
ISBN 10 : 3034806930
ISBN 13 : 9783034806930
Neuf
Couverture souple
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Etat : New. A Course on Integration Theory Num Pages: 492 pages, 12 black & white illustrations, 3 colour illustrations, biography. BIC Classification: PBKB; PBKL. Category: (P) Professional & Vocational. Dimension: 159 x 241 x 27. Weight in Grams: 774. . 2014. 2014th Edition. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9783034806930
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A Course on Integration Theory
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ISBN 10 : 3034806930
ISBN 13 : 9783034806930
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.¿Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 512 pp. Englisch. N° de réf. du vendeur 9783034806930
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A Course on Integration Theory : including more than 150 exercises with detailed answers
Edité par
Birkhäuser, Birkhäuser, 2014
ISBN 10 : 3034806930
ISBN 13 : 9783034806930
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability. N° de réf. du vendeur 9783034806930
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