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)
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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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1.

Agricola, Ilka; Friedrich, Thomas
Editorial: American Mathematical Society (2002)
ISBN 10: 0821829513 ISBN 13: 9780821829516
Nuevos Tapa dura Cantidad: > 20
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Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
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Descripción American Mathematical Society, 2002. Hardcover. Estado de conservación: New. Brand new. We distribute directly for the publisher. 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'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 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 1005120079

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Agricola, Ilka; Friedrich, Thomas
Editorial: Amer Mathematical Society
ISBN 10: 0821829513 ISBN 13: 9780821829516
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Descripción Amer Mathematical Society. Estado de conservación: New. New. This is a brand new book!. Nº de ref. de la librería Z1-A-005-01102

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Agricola, Ilka; Friedrich, Thomas
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. 254 x 184 mm. 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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Agricola, Ilka; Friedrich, Thomas
ISBN 10: 0821829513 ISBN 13: 9780821829516
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218295160000000

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Agricola, Ilka; Friedrich, Thomas
Editorial: American Mathematical Society, United States (2002)
ISBN 10: 0821829513 ISBN 13: 9780821829516
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The Book Depository
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Descripción American Mathematical Society, United States, 2002. Hardback. Estado de conservación: New. 254 x 184 mm. 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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Agricola, Ilka; Friedrich, Thomas
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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Agricola, Ilka; Friedrich, Thomas
Editorial: American Mathematical Society
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Global Analysis: Differential Forms in Analysis, Geometry and Physics, Ilka Agricola, Thomas Friedrich, 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 B9780821829516

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Agricola, Ilka; Friedrich, Thomas
Editorial: Amer Mathematical Society (2002)
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Descripción Amer Mathematical Society, 2002. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821829513

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Agricola, Ilka; Friedrich, Thomas
Editorial: Amer Mathematical Society (2002)
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Descripción Amer Mathematical Society, 2002. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821829513

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Agricola, Ilka; Friedrich, Thomas
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ISBN 10: 0821829513 ISBN 13: 9780821829516
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Revaluation Books
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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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