Numerical Analysis Historical Developments in the 20th Century

Numerical Analysis  Historical Developments in the 20th Century
Rating:
Author: C. Brezinski,L. Wuytack
Pages: 512
ISBN-13: 9780444598585
ISBN-10: 0444598588
Release: 2012-12-02
Editor: Elsevier
Available:

SYNOPSIS EBOOK:

Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.

Mathematical Reviews

Mathematical Reviews
Rating:
Author: Anonim
Pages: 329
ISBN-13: UVA:X006180631
ISBN-10:
Release: 2003
Editor: Unknown
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A History of Numerical Analysis from the 16th through the 19th Century

A History of Numerical Analysis from the 16th through the 19th Century
Rating: 5
Author: H. H. Goldstine
Pages: 350
ISBN-13: 9781468494723
ISBN-10: 1468494724
Release: 2012-12-06
Editor: Springer Science & Business Media
Available:

SYNOPSIS EBOOK:

In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices. I would particularly like to acknowledge my thanks to Professor Otto Neugebauer for his help and inspiration in the preparation of this book. This consisted of many friendly discussions that I will always value. I should also like to express my deep appreciation to the International Business Machines Corporation of which I have the honor of being a Fellow and in particular to Dr. Ralph E. Gomory, its Vice-President for Research, for permitting me to undertake the writing of this book and for helping make it possible by his continuing encouragement and support.

Mathematical Analysis During the 20th Century

Mathematical Analysis During the 20th Century
Rating:
Author: Jean-Paul Pier
Pages: 428
ISBN-13: 0198503946
ISBN-10: 9780198503941
Release: 2001
Editor: Oxford University Press on Demand
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SYNOPSIS EBOOK:

'Will be a valuable source book for analysts interested in the history of the main ideas of analysis, as well as for others wanting to know about developments in other fields.' -EMS'This is a superb history of 20th century mathematical analysis.' -Zentralblatt MathematikThis book studies the 20th century evolution of essential ideas in mathematical analysis, a field that since the times of Newton and Leibnitz has been one of the most important and prestigious in mathematics. Each chapter features a comprehensive first part on developments during the period 1900-1950, and then provides outlooks on representative achievements during the later part of the century. The book will be an interesting and useful reference for graduate students and lecturers in mathematics, professional mathematicians and historians of science, as well as the interested layperson.

Twelve Landmarks of Twentieth Century Analysis

Twelve Landmarks of Twentieth Century Analysis
Rating:
Author: D. Choimet,H. Queffélec
Pages: 521
ISBN-13: 9781107059450
ISBN-10: 1107059453
Release: 2015-07-16
Editor: Cambridge University Press
Available:

SYNOPSIS EBOOK:

This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

History of Computing in the Twentieth Century

History of Computing in the Twentieth Century
Rating:
Author: Nicholas Metropolis
Pages: 659
ISBN-13: 9781483296685
ISBN-10: 1483296687
Release: 2014-06-28
Editor: Elsevier
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History of Computing in the Twentieth Century

Conceptual Development of 20th Century Field Theories

Conceptual Development of 20th Century Field Theories
Rating:
Author: Tian Yu Cao
Pages: 447
ISBN-13: 9781108476072
ISBN-10: 1108476074
Release: 2019-10-31
Editor: Cambridge University Press
Available:

SYNOPSIS EBOOK:

An overview of the conceptual and historical foundations of fundamental field theories, including their underlying issues, logic and dynamics.

The New Encyclopaedia Britannica

The New Encyclopaedia Britannica
Rating: 5
Author: Anonim
Pages: 329
ISBN-13: IND:30000004142695
ISBN-10:
Release: 1980
Editor: Unknown
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SYNOPSIS EBOOK:

Spine title: Encyclopaedia Britannica. Includes bibliographies. Propaedia: outline of knowledge and guide to the Britannica. 1 v.--Micropaedia: ready reference and index. 10 v.--Macropaedia: knowledge in depth. 19 v. Accompanied by supplement (2 v.) issued in 1994 uder the title: The Encyclopaedia Britannica supplement.

Mathematical Events of the Twentieth Century

Mathematical Events of the Twentieth Century
Rating:
Author: A.A. Bolibruch,OSIPOV YURIY S.,Yakov G. Sinai
Pages: 545
ISBN-13: 3642062253
ISBN-10: 9783642062254
Release: 2010-02-12
Editor: Springer
Available:

SYNOPSIS EBOOK:

This book contains several contributions on the most outstanding events in the development of twentieth century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous representatives of twentieth century mathematics who exerted great influence in its development. This book will be of great interest to mathematicians, who will enjoy seeing their own specialities described with some historical perspective. Historians will read it with the same motive, and perhaps also to select topics for future investigation.

General Catalog

General Catalog
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Author: Colorado State University
Pages: 329
ISBN-13: UIUC:30112111535206
ISBN-10:
Release: 1972
Editor: Unknown
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Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing
Rating:
Author: Germund Dahlquist,Ake Bjorck
Pages: 717
ISBN-13: 9780898716443
ISBN-10: 0898716446
Release: 2008-09-04
Editor: SIAM
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SYNOPSIS EBOOK:

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Revue Roumaine de Math matiques Pures Et Applique s

Revue Roumaine de Math  matiques Pures Et Applique  s
Rating:
Author: Anonim
Pages: 329
ISBN-13: UVA:X002277289
ISBN-10:
Release: 1982
Editor: Unknown
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Revue roumaine de math matiques pures et appliqu es

Revue roumaine de math  matiques pures et appliqu  es
Rating:
Author: Anonim
Pages: 329
ISBN-13: STANFORD:36105001370902
ISBN-10:
Release: 1982
Editor: Unknown
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Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
Rating:
Author: Ivor Grattan-Guiness
Pages: 976
ISBN-13: 9781134888399
ISBN-10: 1134888392
Release: 2004-11-11
Editor: Routledge
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SYNOPSIS EBOOK:

First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Great Soviet Encyclopedia

Great Soviet Encyclopedia
Rating:
Author: Aleksandr Mikhaĭlovich Prokhorov
Pages: 329
ISBN-13: UOM:49015002840149
ISBN-10:
Release: 1973
Editor: Unknown
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Dynamic Data Assimilation

Dynamic Data Assimilation
Rating:
Author: John M. Lewis,S. Lakshmivarahan,Sudarshan Dhall
Pages: 654
ISBN-13: 9780521851558
ISBN-10: 0521851556
Release: 2006-08-03
Editor: Cambridge University Press
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SYNOPSIS EBOOK:

Dynamic data assimilation is the assessment, combination and synthesis of observational data, scientific laws and mathematical models to determine the state of a complex physical system, for instance as a preliminary step in making predictions about the system's behaviour. The topic has assumed increasing importance in fields such as numerical weather prediction where conscientious efforts are being made to extend the term of reliable weather forecasts beyond the few days that are presently feasible. This book is designed to be a basic one-stop reference for graduate students and researchers. It is based on graduate courses taught over a decade to mathematicians, scientists, and engineers, and its modular structure accommodates the various audience requirements. Thus Part I is a broad introduction to the history, development and philosophy of data assimilation, illustrated by examples; Part II considers the classical, static approaches, both linear and nonlinear; and Part III describes computational techniques. Parts IV to VII are concerned with how statistical and dynamic ideas can be incorporated into the classical framework. Key themes covered here include estimation theory, stochastic and dynamic models, and sequential filtering. The final part addresses the predictability of dynamical systems. Chapters end with a section that provides pointers to the literature, and a set of exercises with instructive hints.

Journal of the American Statistical Association

Journal of the American Statistical Association
Rating:
Author: Anonim
Pages: 329
ISBN-13: UCSD:31822022693014
ISBN-10:
Release: 2000
Editor: Unknown
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Numerical Methods for Special Functions

Numerical Methods for Special Functions
Rating: 5
Author: Amparo Gil,Javier Segura,Nico M. Temme
Pages: 415
ISBN-13: 0898717825
ISBN-10: 9780898717822
Release: 2007-01-01
Editor: SIAM
Available:

SYNOPSIS EBOOK:

Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).

The Birth of Numerical Analysis

The Birth of Numerical Analysis
Rating:
Author: Adhemar Bultheel,Ronald Cools
Pages: 240
ISBN-13: 9789812836267
ISBN-10: 9812836268
Release: 2010
Editor: World Scientific
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SYNOPSIS EBOOK:

The 1947 paper by John von Neumann and Herman Goldstine, OC Numerical Inverting of Matrices of High OrderOCO ( Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years. Sample Chapter(s). Chapter 1: Some pioneers of extrapolation methods (323 KB). Contents: Some Pioneers of Extrapolation Methods (C Brezinski); Very Basic Multidimensional Extrapolation Quadrature (J N Lyness); Numerical Methods for Ordinary Differential Equations: Early Days (J C Butcher); Interview with Herbert Bishop Keller (H M Osinga); A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind (K Atkinson); Memoires on Building on General Purpose Numerical Algorithms Library (B Ford); Recent Trends in High Performance Computing (J J Dongarra et al.); Nonnegativity Constraints in Numerical Analysis (D-H Chen & R J Plemmons); On Nonlinear Optimization Since 1959 (M J D Powell); The History and Development of Numerical Analysis in Scotland: A Personal Perspective (G Alistair Watson); Remembering Philip Rabinowitz (P J Davis & A S Fraenkel); My Early Experiences with Scientific Computation (P J Davis); Applications of Chebyshev Polynomials: From Theoretical Kinematics to Practical Computations (R Piessens). Readership: Mathematicians in numerical analysis and mathematicians who are interested in the history of mathematics.

Which Degree

Which Degree
Rating:
Author: Anonim
Pages: 329
ISBN-13: UOM:39015036272493
ISBN-10:
Release: 1997
Editor: Unknown
Available:

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