Basic Numerical Mathematics
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Basic Numerical Mathematics
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Author : J. C. Mason
language : en
Publisher: Butterworth-Heinemann
Release Date : 1983
Basic Numerical Mathematics written by J. C. Mason and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Computers categories.
Basic Numerical Methods
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Author : R. E. Scraton
language : en
Publisher: Hodder Arnold
Release Date : 1984
Basic Numerical Methods written by R. E. Scraton and has been published by Hodder Arnold this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Analyse numérique - Informatique categories.
Numbers, errors and accuracy. Iterative methods. Solution of equations. Simultaneous equations I. Simultaneous equations II. Numerical integration. Differential equations I. Differential equations II.
Basic Numerical Mathematics
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Author : J. Todd
language : en
Publisher: Birkhäuser
Release Date : 2012-10-18
Basic Numerical Mathematics written by J. Todd and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Science categories.
There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a reasonable competence in (at least) linear algebra and calculus has already been attained - but at this stage those not specializ ing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and cal culus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circum stances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental con cepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.
Basic Numerical Mathematics
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Author : J. Todd
language : en
Publisher: Birkhäuser
Release Date : 2012-02-16
Basic Numerical Mathematics written by J. Todd and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-16 with Science categories.
There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.
Basic Numerical Mathematics Numerical Algebra
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Author : John Todd
language : en
Publisher:
Release Date : 1978
Basic Numerical Mathematics Numerical Algebra written by John Todd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
These two volumes have been designed especially for use as a curricular tool with students who have a strong grasp of the fundamentals of linear algebra (vector space, basis, matrix, determinant, characteristic values, and vectors) and calculus (particularly convergence and continuity), as this text approaches numerical analysis with a program of controlled computational experiments. Volume one is a tersely written introduction to numerical analysis which presents algorithms for root-finding, interpolation, numerical quadrature, and the solution of ordinary differential equations. Approximately one-third of the book is devoted to detailed solutions of selected exercises. Volume two introduces the handling of a variety of problems on programmable computers [graphing calculators]. Emphasis is placed on controlled computational experiments--comparison of the machine solution of a problem to the theoretical solution--as a means of gauging the efficiency of the programs used. Also provided are "bad examples" illustrating the difficulties inherent in the subject.
Basic Numerical Mathematics
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Author : John Todd
language : en
Publisher:
Release Date : 1977
Basic Numerical Mathematics written by John Todd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Numerical analysis categories.
Numerical Mathematics
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Author : Shlomo Breuer
language : en
Publisher: Cambridge University Press
Release Date : 1993-07-30
Numerical Mathematics written by Shlomo Breuer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-30 with Mathematics categories.
Numerical Mathematics is a unique book that introduces computational microcomputer laboratories as a vehicle for teaching algorithmic aspects of mathematics. This is achieved through a sequence of laboratory assignments, presupposing no previous knowledge of calculus or linear algebra, where the "chalk- and-talk" lecturer turns into a laboratory istructor. The computational assignments cover iterative processes, area approximations, linear systems, convergence acceleration, interpolative approximations, and construction of computer-library functions. The material is part and parcel of the mathematical foundations that should be acquired by a college student in the microcomputer era.
Numerical Analysis
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Author : John Todd
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Numerical Analysis written by John Todd and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Basic Numerical Mathematics, Volume 1: Numerical Analysis focuses on numerical analysis, with emphasis on the ideas of "controlled computational experiments" and "bad examples". The concepts of convergence and continuity are discussed, along with the rate of convergence, acceleration, and asymptotic series. The more traditional topics of interpolation, quadrature, and differential equations are also explored. Comprised of 10 chapters, this volume begins with an analysis of the algorithms of Gauss, Borchardt, and Carlson in relation to the rate of convergence. The reader is then introduced to orders of magnitude and rates of convergence; recurrence relations for powers; and the solution of equations. Subsequent chapters deal with uniform convergence and approximation; the acceleration processes of Aitken and Euler; asymptotic series; interpolation; and quadrature. The final chapter is devoted to linear difference equations with constant coefficients, along with differentiation and differential equations. This book will be of interest to mathematicians and students of mathematics.
Elementary Numerical Mathematics For Programmers And Engineers
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Author : Gisbert Stoyan
language : en
Publisher: Birkhäuser
Release Date : 2016-11-09
Elementary Numerical Mathematics For Programmers And Engineers written by Gisbert Stoyan and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Mathematics categories.
This book covers the basics of numerical methods, while avoiding the definition-theorem-proof style and instead focusing on numerical examples and simple pseudo-codes. The book is divided into ten chapters. Starting with floating number calculations and continuing up to ordinary differential equations, including "Euler backwards". The final chapter discusses practical error estimations. Exercises (including several in MATLAB) are provided at the end of each chapter. Suitable for readers with minimal mathematical knowledge, the book not only offers an elementary introduction to numerical mathematics for programmers and engineers but also provides supporting material for students and teachers of mathematics.
Numerical Methods For Partial Differential Equations
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Author : Vitoriano Ruas
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-25
Numerical Methods For Partial Differential Equations written by Vitoriano Ruas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-25 with Technology & Engineering categories.
Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.