Pierre-Simon Laplace, 1749-1827
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.
The Laplace Transform
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.
The Laplace Distribution and Generalizations
... Laplace r.v.'s in terms of other well - known random variables . These representations are also listed in Table 2.3 . We shall focus on the standard classical Laplace r.v. X with density ( 2.1.2 ) and ch.f. ( 2.1.7 ) . As already ...
Fourier and Laplace Transforms
... Laplace transform is then quite natural , especially since the Laplace transform exists for a large class of inputs u ( t ) as an ordinary integral in a certain half - plane Res > p . This is in contrast to the Fourier transform , where ...
Laplace
This book is a tribute to the remarkable contributions of Laplace and his enduring legacy in the fields of mathematics and science.
The Mechanics Of Laplace
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations.
A Treatise on Attractions, Laplace's Functions, and the Figure of the Earth
... Laplace . They are there- fore called , after him , Laplace's Coefficients , of the orders 0 , 1 , ... i ... It will be observed that these quantities are definite and have no arbitrary constants in them . Laplace's Co- efficients are ...
Histoire Des Sciences Mathématiques Et Physiques: De Lagrange à Laplace
No description available.
Treatise on Attractions, Laplace's Functions, and the Figure of the Earth
... Laplace . They are there- fore called , after him , Laplace's Coefficients , of the orders 0 , 1 , ... i ... It will be observed that these quantities are definite and have no arbitrary constants in them . Laplace's Co- efficients are ...
Laplace's Calculus of Generatrix Functions
... Laplace was able to express these quantities by definite integrals which converge rapidly . These integrals may be ... Laplace's generatrix functions correspond to Abel's " de-. trix . functions of Laplace to those of Abel . However ...
An Introduction to Laplace Transforms and Fourier Series
... Laplace Trans- forms to help solve a variety of problems without questioning the convergence of the improper integrals . This goes for some applied mathematicians too . The ar- gument seems to be on the lines that if it gives what looks ...
Laplace Transforms and Their Applications to Differential Equations
Many problems and illustrative examples appear throughout the book, which is further augmented by helpful Appendixes.
Histoire Des Sciences Mathématiques Et Physiques: De Laplace à Fourier
No description available.
Vector-valued Laplace Transforms and Cauchy Problems
This authoritative work is likely to become a standard reference on both the Laplace transform and its applications to the abstract Cauchy problem. ... The book is an excellent textbook as well.
Complex Variables and the Laplace Transform for Engineers
... Laplace transform . The best known of these methods is the operational calculus invented by Oliver Heaviside . Therefore , since the Laplace integral is not the only formula which will yield a unique F ( s ) corresponding to a given ...
An Elementary Treatise on Laplace's Functions, Lamé's Functions, and Bessel's Functions
... Laplace's Functions . Any constant quantity may be considered as a Laplace's Function of the order zero ; since it will satisfy the differ- ential equation of Laplace's Functions when we put n = 0 . Next take any rational integral ...
Laplace Transforms Essentials
REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced.
The Laplace Equation
This book is of interest to research students, as well as experts in partial differential equations and numerical analysis. This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains.
A History of the Mathematical Theories of Attraction and the Figure of the Earth
... LAPLACE'S FIRST THREE MEMOIRS Five divisions in Laplace's writings , 741. First Memoir , 742. Legendre's problem , 744. Second memoir , 751. Law of variation of gravity , 753 . Laplace's equation , 755. Third memoir , 764. Mistake , 769 ...
A History of the Mathematical Theories of Attraction and the Figure of the Earth from the Time of Newton to that of Laplace by I. Todhunter
... Laplace's equation , 771. Order of the writings of Laplace and Legendre , 778 . CHAPTER XX . LEGENDRE'S FIRST MEMOIR Treatment of Maclaurin's theorem , 781. Extension of it , 782. Laplace's coeffi- cients , 783. Heine's work , 784 ...