Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.
The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible.
The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.
"synopsis" may belong to another edition of this title.
"In this book, the author outlines an interesting path to relativity and shows its various stages on the way ... The author inserts suggestive pictures and images, which make the book more attractive and easier to read. The book addresses not only specialists and graduate students, but even advanced undergraduates, due to its interactive structure containing questions and answers."
―Zentralblatt MATH 1315
"...the presentation is very far from the ‘definition-theorem-proof-example’ style of a traditional mathematics text; rather, we meet important ideas several times, and they are developed further with each new exposure. This is a pedagogical decision which seems to me to be sound, as it allows the student’s understanding of the ideas to develop."
―Robert J. Low, Mathematical Reviews, June 2015
"This is a brilliant book. Dray has an extraordinary knack of conveying the key mathematics and concepts with an elegant economy that rivals the expositions of the legendary Paul Dirac. It is pure pleasure to see far-reaching results emerge effortlessly from easy-to-follow arguments, and for simple examples to morph into generalizations. It is so refreshing to find a book that does not obscure the basics with unnecessary technicalities, yet can develop sophisticated formalism from very modest mathematical investments."
―Paul Davies, Regents’ Professor and Director, Beyond Center for Fundamental Concepts in Science; Co-Director, Cosmology Initiative; and Principal Investigator, Center for the Convergence of Physical Science and Cancer Biology, Arizona State University
"It took Einstein eight years to create general relativity by carefully balancing his physical intuition and the rather tedious mathematical formalism at his disposal. Tevian Dray’s presentation of the geometry of general relativity in the elegant language of differential forms offers even beginners a novel and direct route to a deep understanding of the theory’s core concepts and applications, from the geometry of black holes to cosmological models."
―Jürgen Renn, Director, Max Planck Institute for the History of Science, Berlin
"About this title" may belong to another edition of this title.
US$ 3.99 shipping within U.S.A.
Destination, rates & speedsSeller: Books From California, Simi Valley, CA, U.S.A.
hardcover. Condition: Good. The glue is weak. The copy is in otherwise good condition. Seller Inventory # mon0003714162
Quantity: 1 available
Seller: Book Alley, Pasadena, CA, U.S.A.
hardcover. Condition: Very Good. Very Good. Used with some reading wear but is still in great reading condition. No markings in text. Seller Inventory # mon0000708011
Quantity: 1 available
Seller: Grumpys Fine Books, Tijeras, NM, U.S.A.
Hardcover. Condition: very good. little wear and tear. Seller Inventory # Grumpy1466510005
Quantity: 1 available
Seller: Grumpys Fine Books, Tijeras, NM, U.S.A.
Hardcover. Condition: new. Prompt service guaranteed. Seller Inventory # Clean1466510005
Quantity: 1 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: As New. Unread book in perfect condition. Seller Inventory # 21005611
Quantity: 10 available
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Condition: New. Seller Inventory # 21005611-n
Quantity: 10 available
Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. pp. 321 1386. Seller Inventory # 94651042
Quantity: 3 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 21005611-n
Quantity: 10 available
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Condition: As New. Unread book in perfect condition. Seller Inventory # 21005611
Quantity: 10 available
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Hardback. Condition: New. New copy - Usually dispatched within 4 working days. 604. Seller Inventory # B9781466510005
Quantity: 1 available