Contributions To The Calculus Of Variations 1930 41
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Contributions To The Calculus Of Variations 1930 41
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Author : Chicago University, Department of Mathematics Staf
language : en
Publisher:
Release Date : 1942-01-01
Contributions To The Calculus Of Variations 1930 41 written by Chicago University, Department of Mathematics Staf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942-01-01 with categories.
Calculus Of Variations With Applications
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Author : George McNaught Ewing
language : en
Publisher: Courier Corporation
Release Date : 1985-01-01
Calculus Of Variations With Applications written by George McNaught Ewing and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Mathematics categories.
Applications-oriented introduction to variational theory develops insight and promotes understanding of specialized books and research papers. Suitable for advanced undergraduate and graduate students as a primary or supplementary text. 1969 edition.
The New Era In American Mathematics 1920 1950
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Author : Karen Hunger Parshall
language : en
Publisher: Princeton University Press
Release Date : 2022-02-22
The New Era In American Mathematics 1920 1950 written by Karen Hunger Parshall and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-22 with Mathematics categories.
A meticulously researched history on the development of American mathematics in the three decades following World War I As the Roaring Twenties lurched into the Great Depression, to be followed by the scourge of Nazi Germany and World War II, American mathematicians pursued their research, positioned themselves collectively within American science, and rose to global mathematical hegemony. How did they do it? The New Era in American Mathematics, 1920–1950 explores the institutional, financial, social, and political forces that shaped and supported this community in the first half of the twentieth century. In doing so, Karen Hunger Parshall debunks the widely held view that American mathematics only thrived after European émigrés fled to the shores of the United States. Drawing from extensive archival and primary-source research, Parshall uncovers the key players in American mathematics who worked together to effect change and she looks at their research output over the course of three decades. She highlights the educational, professional, philanthropic, and governmental entities that bolstered progress. And she uncovers the strategies implemented by American mathematicians in their quest for the advancement of knowledge. Throughout, she considers how geopolitical circumstances shifted the course of the discipline. Examining how the American mathematical community asserted itself on the international stage, The New Era in American Mathematics, 1920–1950 shows the way one nation became the focal point for the field.
Variational Calculus And Optimal Control
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Author : John L. Troutman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Variational Calculus And Optimal Control written by John L. Troutman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Variational Calculus With Elementary Convexity
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Author : J.L. Troutman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Variational Calculus With Elementary Convexity written by J.L. Troutman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The calculus of variations, whose origins can be traced to the works of Aristotle and Zenodoros, is now Ii vast repository supplying fundamental tools of exploration not only to the mathematician, but-as evidenced by current literature-also to those in most branches of science in which mathematics is applied. (Indeed, the macroscopic statements afforded by variational principles may provide the only valid mathematical formulation of many physical laws. ) As such, it retains the spirit of natural philosophy common to most mathematical investigations prior to this century. How ever, it is a discipline in which a single symbol (b) has at times been assigned almost mystical powers of operation and discernment, not readily subsumed into the formal structures of modern mathematics. And it is a field for which it is generally supposed that most questions motivating interest in the subject will probably not be answerable at the introductory level of their formulation. In earlier articles,1,2 it was shown through several examples that a complete characterization of the solution of optimization problems may be available by elementary methods, and it is the purpose of this work to explore further the convexity which underlay these individual successes in the context of a full introductory treatment of the theory of the variational calculus. The required convexity is that determined through Gateaux variations, which can be defined in any real linear space and which provide an unambiguous foundation for the theory.
Union List Of Scientific Serials In Canadian Libraries A I
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Author : National Science Library (Canada)
language : en
Publisher:
Release Date : 1973
Union List Of Scientific Serials In Canadian Libraries A I written by National Science Library (Canada) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Science categories.
Contributions To The Calculus Of Variations
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Author : University of Chicago. Department of Mathematics
language : en
Publisher:
Release Date : 1931
Contributions To The Calculus Of Variations written by University of Chicago. Department of Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1931 with Calculus of variations categories.
Serials Catalog Titles A Z
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Author : Iowa State University. Library
language : en
Publisher:
Release Date : 1979
Serials Catalog Titles A Z written by Iowa State University. Library and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Periodicals categories.
Semicentennial Addresses Of The American Mathematical Society Volume Ii
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Author : American Mathematical Society
language : en
Publisher: American Mathematical Soc.
Release Date : 1938
Semicentennial Addresses Of The American Mathematical Society Volume Ii written by American Mathematical Society and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with Mathematics categories.
Offers brief treatises on several mathematical areas and a historical summary of American contributions to mathematics during the Society's first fifty years.
Serials Catalog Titles A N
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Author : Iowa State University. Library
language : en
Publisher:
Release Date : 1985
Serials Catalog Titles A N written by Iowa State University. Library and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Periodicals categories.