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Pierre Simon Laplace 1749 1827

Author: Charles Coulston Gillispie
Publisher: Princeton University Press
ISBN: 9780691050270
Size: 56.42 MB
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Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the five-volume Traite de mecanique celeste (1799-1825) and Theorie analytique des probabilites (1812). In the former, he demonstrated mathematically the stability of the solar system in accordance with the universal Newtonian law of gravity. In the latter, he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks. These estimates of error and statistical inferences could be applied to social, medical, and legal matters, as well as to the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution.

La Place De La Concorde Suisse

Author: John McPhee
Publisher: Farrar, Straus and Giroux
ISBN: 0374708533
Size: 80.59 MB
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La Place de la Concorde Suisse is John McPhee's rich, journalistic study of the Swiss Army's role in Swiss society. The Swiss Army is so quietly efficient at the art of war that the Isrealis carefully patterned their own military on the Swiss model.

Pierre Simon Laplace 1749 1827

Author: Roger Hahn
Publisher: Harvard University Press
ISBN: 9780674018921
Size: 59.36 MB
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"Roger Hahn, who has devoted years to researching Laplace's life, has compiled a rich archive of his scientific correspondence. In this compact biography, also based in part on unpublished private papers, Hahn follows Laplace's journey from would-be priest in the provinces to Parisian academician, popularizer of science during the French Revolution, religious skeptic, and supporter of Napoleon. By the end of his life, Laplace had become a well-rewarded dean of French science." "In this first full-length biography, Hahn illuminates the man in his historical setting."--BOOK JACKET.

Fourier And Laplace Transforms

Author: R. J. Beerends
Publisher: Cambridge University Press
ISBN: 9780521534413
Size: 45.83 MB
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This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.

An Introduction To Laplace Transforms And Fourier Series

Author: Phil Dyke
Publisher: Springer Science & Business Media
ISBN: 1447163958
Size: 11.96 MB
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In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Laplace Transform Pms 6

Author: David Vernon Widder
Publisher: Princeton University Press
ISBN: 1400876451
Size: 77.88 MB
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Book 6 in the Princeton Mathematical Series. Originally published in 1941. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Integrals And Series Direct Laplace Transforms

Author: Anatoliĭ Platonovich Prudnikov
Publisher: CRC Press
ISBN: 9782881248375
Size: 41.85 MB
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This, the fourth volume of the handbook Integrals and Series, contains tables of the direct Laplace transforms and includes results set forth in books of a similar kind and in periodical literature. All the tables are arranged in two columns - originals f(x) and corresponding images F(p). The Laplace transformation is extensively used in various problems of pure and applied mathematics. Particularly widespread and effective is its application to problems arising in the theory of operational calculus and its applications, embracing the most diverse branches of science and technology. An important advantage of methods using the Laplace transformation lies in the possibility of compiling tables of various elementary and special functions commonly encountered in applications. A number of Laplace transforms are expressed in terms of Meijer G-function. When combined with the table of special cases of the G-function, these formulae make it possible to obtain Laplace transforms of various elementary and special functions of mathematical physics.

The Laplace Transform

Author: Joel L. Schiff
Publisher: Springer Science & Business Media
ISBN: 0387227571
Size: 42.51 MB
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The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un dergraduates. Th this end, this text addresses a number of issues that are rarely considered. For instance, when we apply the Laplace trans form method to a linear ordinary differential equation with constant coefficients, any(n) + an-lY(n-l) + · · · + aoy = f(t), why is it justified to take the Laplace transform of both sides of the equation (Theorem A. 6)? Or, in many proofs it is required to take the limit inside an integral. This is always fraught with danger, especially with an improper integral, and not always justified. I have given complete details (sometimes in the Appendix) whenever this procedure is required. IX X Preface Furthermore, it is sometimes desirable to take the Laplace trans form of an infinite series term by term. Again it is shown that this cannot always be done, and specific sufficient conditions are established to justify this operation.

La Place

Author: Annie Ernaux
Publisher: Routledge
ISBN: 1351227084
Size: 58.77 MB
Format: PDF
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The full French text is accompanied by French-English vocabulary. Notes and a detailed introduction in English put the work in its social and historical context.