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Add to basketCondition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.
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Published by Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10: 1461268877 ISBN 13: 9781461268871
Language: English
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Paperback. Condition: new. Paperback. Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob tained through variational principles may provide the only valid mathemati cal formulations of many physical laws. ) Because of its classical origins, variational calculus retains the spirit of natural philosophy common to most mathematical investigations prior to this century. The original applications, including the Bernoulli problem of finding the brachistochrone, require opti mizing (maximizing or minimizing) the mass, force, time, or energy of some physical system under various constraints. The solutions to these problems satisfy related differential equations discovered by Euler and Lagrange, and the variational principles of mechanics (especially that of Hamilton from the last century) show the importance of also considering solutions that just provide stationary behavior for some measure of performance of the system. However, many recent applications do involve optimization, in particular, those concerned with problems in optimal control. Optimal control is the rapidly expanding field developed during the last half-century to analyze optimal behavior of a constrained process that evolves in time according to prescribed laws. Its applications now embrace a variety of new disciplines, including economics and production planning. Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer-Verlag New York Inc., New York, NY, 1995
ISBN 10: 0387945113 ISBN 13: 9780387945118
Language: English
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Hardcover. Condition: new. Hardcover. The text provides an introduction to the variational methods used to formulate and solve mathematical and physical problems and gives the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize then the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency. It lays the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, and computer science. Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer-Verlag New York Inc., 2012
ISBN 10: 1461268877 ISBN 13: 9781461268871
Language: English
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Add to basketCondition: New. Series: Undergraduate Texts in Mathematics. Num Pages: 477 pages, biography. BIC Classification: GPFC; PBKQ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 24. Weight in Grams: 735. . 2012. 2nd ed. 1996. Softcover reprint of the original 2. Paperback. . . . .
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Published by Springer-Verlag New York Inc., 2012
ISBN 10: 1461268877 ISBN 13: 9781461268871
Language: English
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Condition: New. Series: Undergraduate Texts in Mathematics. Num Pages: 477 pages, biography. BIC Classification: GPFC; PBKQ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 24. Weight in Grams: 735. . 2012. 2nd ed. 1996. Softcover reprint of the original 2. Paperback. . . . . Books ship from the US and Ireland.
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Published by Springer New York, Springer New York, 2012
ISBN 10: 1461268877 ISBN 13: 9781461268871
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob tained through variational principles may provide the only valid mathemati cal formulations of many physical laws. ) Because of its classical origins, variational calculus retains the spirit of natural philosophy common to most mathematical investigations prior to this century. The original applications, including the Bernoulli problem of finding the brachistochrone, require opti mizing (maximizing or minimizing) the mass, force, time, or energy of some physical system under various constraints. The solutions to these problems satisfy related differential equations discovered by Euler and Lagrange, and the variational principles of mechanics (especially that of Hamilton from the last century) show the importance of also considering solutions that just provide stationary behavior for some measure of performance of the system. However, many recent applications do involve optimization, in particular, those concerned with problems in optimal control. Optimal control is the rapidly expanding field developed during the last half-century to analyze optimal behavior of a constrained process that evolves in time according to prescribed laws. Its applications now embrace a variety of new disciplines, including economics and production planning.
Published by Springer-Verlag New York Inc., 1995
ISBN 10: 0387945113 ISBN 13: 9780387945118
Language: English
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
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Add to basketCondition: New. An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. It helps students directly characterize the solutions for many minimization problems. Series: Undergraduate Texts in Mathematics. Num Pages: 477 pages, biography. BIC Classification: PBKQ; PBMH. Category: (UU) Undergraduate. Dimension: 235 x 155 x 26. Weight in Grams: 851. . 1995. 2nd ed. 1996. Hardback. . . . .