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History of Continued Fractions and Padé Approximants
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Risk Assessment, Modeling and Decision Support
The papers in this volume integrate results from current research efforts in earthquake engineering with research from the larger risk assessment community. The authors include risk and hazard researchers from the major U.S. hazard and earthquake centers. The volume lays out a road map for future developments in risk modeling and decision support, and positions earthquake engineering research within the family of risk analysis tools and techniques.
Joseph Bertrand
Who is Joseph Bertrand French mathematician Joseph Louis Francois Bertrand was known for his contributions to the fields of number theory, differential geometry, probability theory, economics, and thermodynamics. How you will benefit (I) Insights about the following: Chapter 1: Joseph Bertrand Chapter 2: Augustin-Louis Cauchy Chapter 3: Évariste Galois Chapter 4: Siméon Denis Poisson Chapter 5: André Sainte-Laguë Chapter 6: Jacques Hadamard Chapter 7: Camille Jordan Chapter 8: Émile Borel Chapter 9: Paul Lévy (mathematician) Chapter 10: Jean-Victor Poncelet Chapter 11: Louis Bachelier Chapter 12: Jean Gaston Darboux Chapter 13: Jacques Charles François Sturm Chapter 14: Georges Henri Halphen Chapter 15: Sylvestre-François Lacroix Chapter 16: Charles Hermite Chapter 17: Joseph Fourier Chapter 18: Charles Paul Narcisse Moreau Chapter 19: Robert de Montessus de Ballore Chapter 20: Jacques Neveu Chapter 21: Daniel Dugu Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information about Joseph Bertrand.
Mathematics of the 19th Century
The general principles by which the editors and authors of the present edition have been guided were explained in the preface to the first volume of Mathemat ics of the 19th Century, which contains chapters on the history of mathematical logic, algebra, number theory, and probability theory (Nauka, Moscow 1978; En glish translation by Birkhiiuser Verlag, Basel-Boston-Berlin 1992). Circumstances beyond the control of the editors necessitated certain changes in the sequence of historical exposition of individual disciplines. The second volume contains two chapters: history of geometry and history of analytic function theory (including elliptic and Abelian functions); the size of the two chapte...
Reconstructing the University
Detailed study of transformations in the teaching and research priorities of universities worldwide, examining how these changes correspond to globally institutionalized understandings of reality.
Extrapolation and Rational Approximation
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this do...
Thermal Springs of the United States and Other Countries
A review of available literature has revealed information on the location of springs, the temperature of the water, the rate of flow, the chemical character of the water and evolved gases, and the uses made of the water. For each country or geographic area there is a brief description of the geology and map showing the location of the springs.
The Geographical Journal
Includes the Proceedings of the Royal Geographical Society, formerly published separately.
