Vectors and Tensors in Engineering and Physics - Hardcover

Danielson, D.A.

Hardcover

ISBN 10: 0201524260 ISBN 13: 9780201524260

Publisher: Addison Wesley, 1992

Synopsis

The second edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition. } Vectors and Tensors in Engineering and Physics , Second Edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition. The book provides equations for predicting:the rotations of gyroscopes and other axisymmetric solids, derived from Eulers equations for the motion of rigid bodiesthe temperature decays in quenched forgings, derived from the heat equationthe deformed shapes of twiste d rods and bent beams, derived from the Navier equations of elasticitythe flow fields in cylindrical pipes, derived from the Navier-Stokes equations of fluid mechanicsthe trajectories of celestial objects, derived from both Newtons and Einsteins theories of gravitationthe electromagnetic fields of stationary and moving charged particles, derived from Maxwells equationsthe stress in the skin when it is stretched, derived from the mechanics of curved membranesthe effects of motion and gravitation upon the times of clocks, derived from the special and general theories of relativity[The book] also featur[es]:over 100 illustrationscomplete solutions to over 400 examples and problemscartesian components, general components, and components-free notationslists of notations used by other authorsboxes to highlight key equationshistorical notes and an extensive bibliography }

About this title

About the Author

D. A. Danielson received a B.S. degree in mathematics from the Massachusetts Institute of Technology and the M.S./Ph.D. degrees in applied mathematics from Harvard University. He has been a professor at the University of Virginia and the University of California, and is currently at the Naval Postgraduate School. His research interests include buckling/vibration of structures, waves, and orbits of satellites.

Synopsis

Explains the close correspondence between mathematics and physical world, emphasizing the physical interpretation rather than mathematical rigor. Accessible to advanced undergraduates in a physical science, engineering, or mathematics, who are presumed to know only some elementary calculus and linear algebra. Annotation copyright Book News, Inc. Po

Edition details

• Publisher: Addison Wesley
• Publication date: 1992
• ISBN 10: 0201524260
• ISBN 13: 9780201524260
• Binding: Hardcover
• Language: English
• Number of pages: 288