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Global Analysis: Differential Forms in Analysis, Geometry and Physics (Graduate Studies in Mathematics) - Hardcover
Inhaltsangabe
This book is devoted to differential forms and their applications in various areas of mathematics and physics. Well-written and with plenty of examples, this introductory textbook originated from courses on geometry and analysis and presents a widely used mathematical technique in a lucid and very readable style. The authors introduce readers to the world of differential forms while covering relevant topics from analysis, differential geometry, and mathematical physics. The book begins with a self-contained introduction to the calculus of differential forms in Euclidean space and on manifolds. Next, the focus is on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology. The authors then discuss the integrability conditions of a Pfaffian system (Frobenius's theorem). Chapter 5 is a thorough exposition of the theory of curves and surfaces in Euclidean space in the spirit of Cartan. The following chapter covers Lie groups and homogeneous spaces. Chapter 7 addresses symplectic geometry and classical mechanics. The basic tools for the integration of the Hamiltonian equations are the moment map and completely integrable systems (Liouville-Arnold Theorem). The authors discuss Newton, Lagrange, and Hamilton formulations of mechanics. Chapter 8 contains an introduction to statistical mechanics and thermodynamics. The final chapter deals with electrodynamics. The material in the book is carefully illustrated with figures an Readers should be familiar with first-year algebra and advanced calculus. The book is intended for graduate students and researchers interested in delving into geometric analysis and its applications to mathematical physics.
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This book is devoted to differential forms and their applications in various areas of mathematics and physics. Well-written and with plenty of examples, this introductory textbook originated from courses on geometry and analysis and presents a widely used mathematical technique in a lucid and very readable style. The authors introduce readers to the world of differential forms while covering relevant topics from analysis, differential geometry, and mathematical physics. The book begins with a self-contained introduction to the calculus of differential forms in Euclidean space and on manifolds. Next, the focus is on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology. The authors then discuss the integrability conditions of a Pfaffian system (Frobenius's theorem). Chapter 5 is a thorough exposition of the theory of curves and surfaces in Euclidean space in the spirit of Cartan. The following chapter covers Lie groups and homogeneous spaces. Chapter 7 addresses symplectic geometry and classical mechanics. The basic tools for the integration of the Hamiltonian equations are the moment map and completely integrable systems (Liouville-Arnold Theorem). The authors discuss Newton, Lagrange, and Hamilton formulations of mechanics. Chapter 8 contains an introduction to statistical mechanics and thermodynamics. The final chapter deals with electrodynamics. The material in the book is carefully illustrated with figures an Readers should be familiar with first-year algebra and advanced calculus. The book is intended for graduate students and researchers interested in delving into geometric analysis and its applications to mathematical physics.
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Global Analysis: Differential Forms in Analysis, Geometry and Physics
Verlag:
American Mathematical Society, Providence, RI, 2002
ISBN 10: 0821829513
ISBN 13: 9780821829516
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Hardcover
Anbieter: PsychoBabel & Skoob Books, Didcot, Vereinigtes Königreich
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Hardcover. Zustand: Very Good. Zustand des Schutzumschlags: No Dust Jacket. Hard cover, no jacket intended, from the collection of a London Professor of Mathematics, (ret'd.). Boards and binding in fine condition, content is 'as unread'. CN. Bestandsnummer des Verkäufers 616116
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Global Analysis: Differential Forms in Analysis, Geometry and Physics (Graduate Studies in Mathematics) (Volume 52)
Verlag:
American Mathematical Society, 2002
ISBN 10: 0821829513
ISBN 13: 9780821829516
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Hardcover
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Zustand: Good. Volume 52. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780821829516. Bestandsnummer des Verkäufers 9789791
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Global Analysis: Differential Forms in Analysis, Geometry, and Physics (Graduate Studies in Mathematics, V. 52)
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irland
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Zustand: New. Presents an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. This work focuses on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology. Series: Graduate Studies in Mathematics. Num Pages: 360 pages, bibliography, index. BIC Classification: PBKJ; PBMP; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156. Weight in Grams: 817. . 2002. 0th Edition. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821829516
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Agricola, I: Global Analysis
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Zustand: New. Presents an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. This work focuses on Stokes theorem, the classical integral formulas and their applications to harmoni. Bestandsnummer des Verkäufers 595067931
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Global Analysis: Differential Forms in Analysis, Geometry and Physics (Graduate Studies in Mathematics, Volume 52)
Verlag:
American Mathematical Society, 2002
ISBN 10: 0821829513
ISBN 13: 9780821829516
Gebraucht
Hardcover
Erstausgabe
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Hardcover. Zustand: As New. 1st Edition. As new copy. A tight, bright, and clean copy with no inscriptions and no annotations/notes. No bumps to spine/cover or foxing to pages. Fantastic condition book. 343pp. (18.5x26cm). Please contact us for any more information. Bestandsnummer des Verkäufers 7204
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Global Analysis: Differential Forms in Analysis, Geometry, and Physics
Verlag:
American Mathematical Society, 2002
ISBN 10: 0821829513
ISBN 13: 9780821829516
Gebraucht
Hardcover
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Hard cover. Zustand: As New. Fine. No dust jacket. 343 p. Graduate Studies in Mathematics, 52. Audience: General/trade. Bestandsnummer des Verkäufers Alibris5285
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Global Analysis: Differential Forms in Analysis, Geometry, and Physics
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Hardcover. Zustand: Brand New. 343 pages. 10.00x7.25x0.75 inches. In Stock. Bestandsnummer des Verkäufers __0821829513
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Global Analysis: Differential Forms in Analysis, Geometry, and Physics (Graduate Studies in Mathematics, V. 52)
Anbieter: Kennys Bookstore, Olney, MD, USA
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Zustand: New. Presents an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. This work focuses on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology. Series: Graduate Studies in Mathematics. Num Pages: 360 pages, bibliography, index. BIC Classification: PBKJ; PBMP; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156. Weight in Grams: 817. . 2002. 0th Edition. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821829516
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Global Analysis
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HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers FW-9780821829516
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Global Analysis : Differential Forms in Analysis, Geometry and Physics
Verlag:
American Mathematical Society Nov 2002, 2002
ISBN 10: 0821829513
ISBN 13: 9780821829516
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Hardcover
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Buch. Zustand: Neu. Neuware. Bestandsnummer des Verkäufers 9780821829516
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