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Differential Geometry of Manifolds (Textbooks in Mathematics) - Hardcover

Lovett, Stephen

 
9781568814575: Differential Geometry of Manifolds (Textbooks in Mathematics)
Hardcover
ISBN 10: 1568814577 ISBN 13: 9781568814575
Verlag: A K Peters, 2010

Inhaltsangabe

From the coauthor of Differential Geometry of Curves and Surfaces, this companion book presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together the classical and modern formulations. The three appendices provide background information on point set topology, calculus of variations, and multilinear algebra—topics that may not have been covered in the prerequisite courses of multivariable calculus and linear algebra.

Differential Geometry of Manifolds takes a practical approach, containing extensive exercises and focusing on applications of differential geometry in physics, including the Hamiltonian formulation of dynamics (with a view toward symplectic manifolds), the tensorial formulation of electromagnetism, some string theory, and some fundamental concepts in general relativity.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Stephen Lovett is an associate professor of mathematics at Wheaton College in Illinois. Lovett has also taught at Eastern Nazarene College and has taught introductory courses on differential geometry for many years. Lovett has traveled extensively and has given many talks over the past several years on differential and algebraic geometry, as well as cryptography.

Von der hinteren Coverseite

Intended for upper undergraduate or beginning graduate students, this book introduces students to the modern theory of manifolds. Assuming a basic knowledge of the differential geometry of curves and surfaces the focus is on differentiable manifolds and the study of Riemannian manifolds. The book concludes with applications of manifolds to physics.Exercises at the end of each section and appendices on topology and linear algebra make this book ideal for self-study or as a textbook.

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Verlag
A K Peters
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1568814577
ISBN 13 
9781568814575
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
421
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar