Global Analysis: Differential Forms in Analysis, Geometry, and Physics (Graduate Studies in Mathematics)

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9780821829516: Global Analysis: Differential Forms in Analysis, Geometry, and Physics (Graduate Studies in Mathematics)

This book is an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. Well-written and with plenty of examples, this 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' 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 and examples, and there are over 100 exercises. 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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Text: English (translation)
Original Language: German

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Ilka Agricola
Editorial: American Mathematical Society (2002)
ISBN 10: 0821829513 ISBN 13: 9780821829516
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Descripción American Mathematical Society, 2002. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821829516

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Ilka Agricola, Thomas Friedrich
Editorial: American Mathematical Society, United States (2002)
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Descripción American Mathematical Society, United States, 2002. Hardback. Estado de conservación: New. Language: English . Brand New Book. This book is an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. Well-written and with plenty of examples, this 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 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 and examples, and there are over 100 exercises. 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. Nº de ref. de la librería AAN9780821829516

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Ilka Agricola, Thomas Friedrich
Editorial: American Mathematical Society, United States (2002)
ISBN 10: 0821829513 ISBN 13: 9780821829516
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Descripción American Mathematical Society, United States, 2002. Hardback. Estado de conservación: New. Language: English . Brand New Book. This book is an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. Well-written and with plenty of examples, this 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 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 and examples, and there are over 100 exercises. 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. Nº de ref. de la librería AAN9780821829516

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Ilka Agricola/ Thomas Friedrich
Editorial: Amer Mathematical Society (2002)
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Descripción Amer Mathematical Society, 2002. Hardcover. Estado de conservación: Brand New. first edition, edition. 343 pages. 10.00x7.25x0.75 inches. In Stock. Nº de ref. de la librería __0821829513

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Agricola, Ilka, Friedrich, Thomas
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Descripción Amer Mathematical Society, 2002. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería P110821829513

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Agricola, Ilka;Friedrich, Thomas
Editorial: Providence, Rhode Island, U.S.A.: Amer Mathematical Society (2002)
ISBN 10: 0821829513 ISBN 13: 9780821829516
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Descripción Providence, Rhode Island, U.S.A.: Amer Mathematical Society, 2002. Hardcover. Estado de conservación: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,ht. Nº de ref. de la librería ABE-7234625386

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