Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form.
After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations.
An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy.
Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition.
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Seller: BooksRun, Philadelphia, PA, U.S.A.
Paperback. Condition: Fair. 3. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way. Seller Inventory # 0486637735-7-1
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Paperback. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0486637735I3N00
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Paperback. Condition: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0486637735I5N00
Seller: HPB-Red, Dallas, TX, U.S.A.
Paperback. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_483961087
Seller: Wonder Book, Frederick, MD, U.S.A.
Condition: Good. Good condition. A copy that has been read but remains intact. May contain markings such as bookplates, stamps, limited notes and highlighting, or a few light stains. Seller Inventory # R10O-00337
Seller: Aspen Book Co., Denver, CO, U.S.A.
Paperback. Condition: Good. Dover edition, first published in 1979. The book is in good condition, with a strong hardcover binding. The cover shows minor wear, particularly at the edges and spine, but remains intact. There is no dust jacket included with this copy. The pages are clean and free from inscriptions or markings, making it an excellent copy for collectors or those interested in the subject matter. unknown (no dust jacket visible). Seller Inventory # A22-B3-ICR-0248
Seller: thebookforest.com, San Rafael, CA, U.S.A.
Condition: Very Good. paperback. Wrappers are firm, text block clean, without highlights/underlining or markings. Some rubbing/curling to wrappers. Supporting Bay Area Friends of the Library since 2010. Well packaged and promptly shipped. Seller Inventory # BAY17-00199
Seller: TotalitarianMedia, Los Angeles, CA, U.S.A.
Soft cover. Condition: Very Good. No Jacket. 3rd Edition. Variational Principles in Dynamics and Quantum Theory. Yourgrau, Wolfgang, Mandelstam, Stanley. Published by Dover Publications, Incorporated, 2011. 201p. trade paperback, covers bumped/scuffed, binding tight, text clean/unmarked--ISBN 10: 0486637735ISBN 13: 97804866377308.00. Seller Inventory # ABE-1693004074288
Seller: Books From California, Simi Valley, CA, U.S.A.
paperback. Condition: Good. The copy shows minor external wear, but is in otherwise clean condition. Seller Inventory # mon0004034028