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Loewner's Theorem on Monotone Matrix Functions (Grundlehren der mathematischen Wissenschaften, 354) - Hardcover
Synopsis
This book provides an in depth discussion of Loewner’s theorem on the characterization of matrix monotone functions. The author refers to the book as a ‘love poem,’ one that highlights a unique mix of algebra and analysis and touches on numerous methods and results. The book details many different topics from analysis, operator theory and algebra, such as divided differences, convexity, positive definiteness, integral representations of function classes, Pick interpolation, rational approximation, orthogonal polynomials, continued fractions, and more. Most applications of Loewner’s theorem involve the easy half of the theorem. A great number of interesting techniques in analysis are the bases for a proof of the hard half. Centered on one theorem, eleven proofs are discussed, both for the study of their own approach to the proof and as a starting point for discussing a variety of tools in analysis. Historical background and inclusion of pictures of some of the main figures who have developed the subject, adds another depth of perspective.
The presentation is suitable for detailed study, for quick review or reference to the various methods that are presented. The book is also suitable for independent study. The volume will be of interest to research mathematicians, physicists, and graduate students working in matrix theory and approximation, as well as to analysts and mathematical physicists.
"synopsis" may belong to another edition of this title.
About the Author
Barry Simon is the IBM Professor of Mathematics and Theoretical Physics, Emeritus, at Caltech, known for his contributions in spectral theory, functional analysis, and nonrelativistic quantum mechanics, and including the connections to atomic and molecular physics. He has authored more than 400 publications on mathematics and physics. Simon's work has focused on broad areas of mathematical physics and analysis covering: quantum field theory, statistical mechanics, Brownian motion, random matrix theory, general nonrelativistic quantum mechanics, nonrelativistic quantum mechanics in electric and magnetic fields, the semi-classical limit, the singular continuous spectrum, random and ergodic Schrödinger operators, orthogonal polynomials, and non-selfadjoint spectral theory. Simon is a recently elected member (2019) of the National Academy of Science and a member of the American Academy of Arts and Sciences. Simon is a recipient of the Henri Poincaré Prize (2012), the Bolyai Prize of the Hungarian Academy of Sciences (2015), the Steele Prize for Lifetime achievements (2016), and the Dannie Heineman Prize for Mathematical Physics from the American Physical Society (2018). He is also a fellow of the American Mathematical Society and the American Physical Society.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2019
- ISBN 10 303022421X
- ISBN 13 9783030224219
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages470
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Loewner's theorem on monotone matrix functions. Grundlehren der mathematischen Wissenschaften; volume 354.
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Hardcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00954 9783030224219 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2484796
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XI, 459 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Grundlehren der mathematischen Wissenschaften. Vol. 354. Sprache: Englisch. Seller Inventory # 35024AB
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Loewner's Theorem on Monotone Matrix Functions (Grundlehren der mathematischen Wissenschaften, 354)
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Loewner's Theorem on Monotone Matrix Functions (Hardcover)
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Springer Nature Switzerland AG, Cham, 2019
ISBN 10: 303022421X
ISBN 13: 9783030224219
New
Hardcover
First Edition
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Hardcover. Condition: new. Hardcover. This book provides an in depth discussion of Loewners theorem on the characterization of matrix monotone functions. The author refers to the book as a love poem, one that highlights a unique mix of algebra and analysis and touches on numerous methods and results. The book details many different topics from analysis, operator theory and algebra, such as divided differences, convexity, positive definiteness, integral representations of function classes, Pick interpolation, rational approximation, orthogonal polynomials, continued fractions, and more. Most applications of Loewners theorem involve the easy half of the theorem. A great number of interesting techniques in analysis are the bases for a proof of the hard half. Centered on one theorem, eleven proofs are discussed, both for the study of their own approach to the proof and as a starting point for discussing a variety of tools in analysis. Historical background and inclusion of pictures of some of the main figures who have developed the subject, adds another depth of perspective.The presentation is suitable for detailed study, for quick review or reference to the various methods that are presented. The book is also suitable for independent study. The volume will be of interest to research mathematicians, physicists, and graduate students working in matrix theory and approximation, as well as to analysts and mathematical physicists. This book provides an in depth discussion of Loewners theorem on the characterization of matrix monotone functions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783030224219
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Loewner's Theorem on Monotone Matrix Functions
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Springer International Publishing Sep 2019, 2019
ISBN 10: 303022421X
ISBN 13: 9783030224219
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions. The author refers to the book as a 'love poem,' one that highlights a unique mix of algebra and analysis and touches on numerous methods and results. The book details many different topics from analysis, operator theory and algebra, such as divided differences, convexity, positive definiteness, integral representations of function classes, Pick interpolation, rational approximation, orthogonal polynomials, continued fractions, and more. Most applications of Loewner's theorem involve the easy half of the theorem. A great number of interesting techniques in analysis are the bases for a proof of the hard half. Centered on one theorem, eleven proofs are discussed, both for the study of their own approach to the proof and as a starting point for discussing a variety of tools in analysis. Historical background and inclusion of pictures of some of the main figures who have developed the subject, adds another depth of perspective.The presentation is suitable for detailed study, for quick review or reference to the various methods that are presented. The book is also suitable for independent study. The volume will be of interest to research mathematicians, physicists, and graduate students working in matrix theory and approximation, as well as to analysts and mathematical physicists. 472 pp. Englisch. Seller Inventory # 9783030224219
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Loewner\ s Theorem on Monotone Matrix Functions
Published by
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ISBN 10: 303022421X
ISBN 13: 9783030224219
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First book in decades to discuss a variety of proofs of Loewner s TheoremMay be used as a text for a specialized graduate analysis courseActs as a starting point for discussing a variety of me. Seller Inventory # 458536938
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Loewner's Theorem on Monotone Matrix Functions
Published by
Springer International Publishing, 2019
ISBN 10: 303022421X
ISBN 13: 9783030224219
New
Hardcover
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions. The author refers to the book as a 'love poem,' one that highlights a unique mix of algebra and analysis and touches on numerous methods and results. The book details many different topics from analysis, operator theory and algebra, such as divided differences, convexity, positive definiteness, integral representations of function classes, Pick interpolation, rational approximation, orthogonal polynomials, continued fractions, and more. Most applications of Loewner's theorem involve the easy half of the theorem. A great number of interesting techniques in analysis are the bases for a proof of the hard half. Centered on one theorem, eleven proofs are discussed, both for the study of their own approach to the proof and as a starting point for discussing a variety of tools in analysis. Historical background and inclusion of pictures of some of the main figures who have developed the subject, adds another depth of perspective.The presentation is suitable for detailed study, for quick review or reference to the various methods that are presented. The book is also suitable for independent study. The volume will be of interest to research mathematicians, physicists, and graduate students working in matrix theory and approximation, as well as to analysts and mathematical physicists. Seller Inventory # 9783030224219
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Loewner's Theorem on Monotone Matrix Functions
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