Pierre-Simon Laplace, 1749-1827

A Life in Exact Science

Author: Charles Coulston Gillispie,Ivor Grattan-Guinness

Publisher: Princeton University Press

ISBN: 9780691050270

Category: Biography & Autobiography

Page: 322

View: 6013

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

Category: Social Science

Page: 160

View: 9899

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.

La Place

Author: Annie Ernaux

Publisher: Routledge

ISBN: 1351227084

Category: Literary Criticism

Page: 140

View: 4254

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.

Pierre Simon Laplace, 1749-1827

A Determined Scientist

Author: Roger Hahn

Publisher: Harvard University Press

ISBN: 9780674018921

Category: Biography & Autobiography

Page: 310

View: 2008

"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 In this compact biography, also based in part on unpublished private papers, Hahn follows Laplace's journey from would-be priest in the provinces to Parisian academician, popularizer of science during the French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.

An Introduction to Laplace Transforms and Fourier Series

Author: Phil Dyke

Publisher: Springer Science & Business Media

ISBN: 1447163958

Category: Mathematics

Page: 318

View: 7055

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.

The Laplace Transform

Theory and Applications

Author: Joel L. Schiff

Publisher: Springer Science & Business Media

ISBN: 0387227571

Category: Mathematics

Page: 236

View: 1337

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.

Laplace Transform (PMS-6)

Author: David Vernon Widder

Publisher: Princeton University Press

ISBN: 1400876451

Category: Mathematics

Page: 418

View: 5543

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.

Fourier and Laplace Transforms

Author: R. J. Beerends

Publisher: Cambridge University Press

ISBN: 9780521534413

Category: Mathematics

Page: 447

View: 1895

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.

Numerical Methods for Laplace Transform Inversion

Author: Alan M. Cohen

Publisher: Springer Science & Business Media

ISBN: 0387688552

Category: Mathematics

Page: 252

View: 9557

This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

The Laplace Distribution and Generalizations

A Revisit with Applications to Communications, Economics, Engineering, and Finance

Author: Samuel Kotz,Tomasz Kozubowski,Krzystof Podgorski

Publisher: Springer Science & Business Media

ISBN: 146120173X

Category: Mathematics

Page: 349

View: 669

This book describes the inferential and modeling advantages that this distribution, together with its generalizations and modifications, offers. The exposition systematically unfolds with many examples, tables, illustrations, and exercises. A comprehensive index and extensive bibliography also make this book an ideal text for a senior undergraduate and graduate seminar on statistical distributions, or for a short half-term academic course in statistics, applied probability, and finance.

Introduction to the Laplace Transform

Author: Peter K.F. Kuhfittig

Publisher: Springer Science & Business Media

ISBN: 1489922016

Category: Mathematics

Page: 206

View: 5288

The purpose of this book is to give an introduction to the Laplace transform on the undergraduate level. The material is drawn from notes for a course taught by the author at the Milwaukee School of Engineering. Based on classroom experience, an attempt has been made to (1) keep the proofs short, (2) introduce applications as soon as possible, (3) concentrate on problems that are difficult to handle by the older classical methods, and (4) emphasize periodic phenomena. To make it possible to offer the course early in the curriculum (after differential equations), no knowledge of complex variable theory is assumed. However, since a thorough study of Laplace. transforms requires at least the rudiments of this theory, Chapter 3 includes a brief sketch of complex variables, with many of the details presented in Appendix A. This plan permits an introduction of the complex inversion formula, followed by additional applications. The author has found that a course taught three hours a week for a quarter can be based on the material in Chapters 1, 2, and 5 and the first three sections of Chapter 7. If additional time is available (e.g., four quarter-hours or three semester-hours), the whole book can be covered easily. The author is indebted to the students at the Milwaukee School of Engineering for their many helpful comments and criticisms.

The Laplace Transform

Author: Richard Bellman,Robert S. Roth

Publisher: World Scientific

ISBN: 9789971966737

Category: Mathematics

Page: 158

View: 869

The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation.

Integrals and Series: Direct Laplace transforms

Author: Anatoliĭ Platonovich Prudnikov,Yu A. Brychkov,Oleg Igorevich Marichev

Publisher: CRC Press

ISBN: 9782881248375

Category: Mathematics

Page: 618

View: 7168

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.

Ici-La

Place and Displacement in Caribbean Writing in French

Author: Mary Gallagher

Publisher: Rodopi

ISBN: 9789042008861

Category: Literary Criticism

Page: 308

View: 6969

In Caribbean writing, place is intimately inflected by displacement - place and displacement are not dichotomous; every 'here' invariably implies a 'there'. In line with this extreme imbrication of (dis)location, Caribbean writing in French explores questions of increasing global pertinence such as the relation between writing and displacement, local and distant space, text and place, identity and migration, passage and transformation. Contributions range across genres and the work of writers such as Aimé Césaire, Patrick Chamoiseau, René Dépestre, Édouard Glissant, Émile Ollivier, Gisèle Pineau, Simone Schwarz-Bart and Ernest Pépin. Topics explored include the poetics of dwelling space, the postmodern or postcolonial dynamic of the Creole town, and the textualization of place and displacement. Also included are essays on the drama of distance, the metamorphosis of recent Haitian writing, the literary reverberations of the figure of Toussaint L'Ouverture, and links between Ireland and the French Caribbean.