A Brief Introduction to Numerical Analysis

A Brief Introduction to Numerical Analysis
Author: Eugene E. Tyrtyshnikov
Publisher: Springer Science & Business Media
Total Pages: 205
Release: 2012-12-06
Genre: Mathematics
ISBN: 0817681361

A logically organized advanced textbook, which turns the reader into an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful.

An Introduction to Numerical Methods and Analysis

An Introduction to Numerical Methods and Analysis
Author: James F. Epperson
Publisher: John Wiley & Sons
Total Pages: 579
Release: 2013-06-06
Genre: Mathematics
ISBN: 1118626230

Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

AN INTRODUCTION TO NUMERICAL ANALYSIS, 2ND ED

AN INTRODUCTION TO NUMERICAL ANALYSIS, 2ND ED
Author: Kendall E. Atkinson
Publisher: John Wiley & Sons
Total Pages: 716
Release: 2008-09
Genre:
ISBN: 9788126518500

Market_Desc: · Mathematics Students · Instructors About The Book: This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary value problems, the conjugate gradient method, and the least squares solutions of systems of linear equations.

Introduction to Numerical Analysis

Introduction to Numerical Analysis
Author: A. Neumaier
Publisher: Cambridge University Press
Total Pages: 368
Release: 2001-10
Genre: Mathematics
ISBN: 9780521336109

This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

A First Course in Numerical Analysis

A First Course in Numerical Analysis
Author: Anthony Ralston
Publisher: Courier Corporation
Total Pages: 644
Release: 2001-01-01
Genre: Mathematics
ISBN: 9780486414546

Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Introduction to Numerical Analysis

Introduction to Numerical Analysis
Author: J. Stoer
Publisher: Springer Science & Business Media
Total Pages: 674
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475722729

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.

Numerical Analysis

Numerical Analysis
Author: Timo Heister
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 194
Release: 2019-03-18
Genre: Mathematics
ISBN: 3110573326

Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.