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Author: Anthony Ralston
Publisher: Courier Corporation
Published: 2001-01-01
Total Pages: 644
ISBN-13: 9780486414546
DOWNLOAD EBOOKOutstanding 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.
Author: James F. Epperson
Publisher: John Wiley & Sons
Published: 2013-06-06
Total Pages: 579
ISBN-13: 1118626230
DOWNLOAD EBOOKPraise 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.
Author: J. Stoer
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 674
ISBN-13: 1475722729
DOWNLOAD EBOOKOn 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.
Author: Richard W. Hamming
Publisher: Courier Corporation
Published: 2012-01-01
Total Pages: 354
ISBN-13: 0486485900
DOWNLOAD EBOOK"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an extensive range of topics includes round-off and function evaluation, real zeros of a function, integration, ordinary differential equations, optimization, orthogonal functions, Fourier series, and much more. 1989 edition"--Provided by publisher.
Author: Kendall E. Atkinson
Publisher: John Wiley & Sons
Published: 2008-09
Total Pages: 716
ISBN-13: 9788126518500
DOWNLOAD EBOOKMarket_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.
Author: F. B. Hildebrand
Publisher: Courier Corporation
Published: 2013-04-26
Total Pages: 708
ISBN-13: 0486318559
DOWNLOAD EBOOKWell-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
Author: Endre Süli
Publisher: Cambridge University Press
Published: 2003-08-28
Total Pages: 440
ISBN-13: 9780521007948
DOWNLOAD EBOOKAn introduction to numerical analysis combining rigour with practical applications, and providing numerous exercises plus solutions.
Author: Kenneth Lange
Publisher: Springer Science & Business Media
Published: 2010-05-17
Total Pages: 606
ISBN-13: 1441959459
DOWNLOAD EBOOKNumerical analysis is the study of computation and its accuracy, stability and often its implementation on a computer. This book focuses on the principles of numerical analysis and is intended to equip those readers who use statistics to craft their own software and to understand the advantages and disadvantages of different numerical methods.
Author: A. Iserles
Publisher: Cambridge University Press
Published: 2009
Total Pages: 481
ISBN-13: 0521734908
DOWNLOAD EBOOKlead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author: Peter Deuflhard
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 350
ISBN-13: 0387215840
DOWNLOAD EBOOKThis book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.
