Collocation Methods for Volterra Integral and Related Functional Differential Equations

Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 0521806151
Release Date: 2004-11-15
Genre: Mathematics

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

CRC Concise Encyclopedia of Mathematics Second Edition

Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 9781420035223
Release Date: 2002-12-12
Genre: Mathematics

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

A Concise History of Mathematics

Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 9780486138886
Release Date: 2012-06-28
Genre: Science

Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.

A Concise History of Mathematics

Author: Dirk Jan Struik
Publisher: Courier Corporation
ISBN: 0486602559
Release Date: 1967
Genre: Mathematics

This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.

Extenics and Innovation Methods

Author: Wen Cai
Publisher: CRC Press
ISBN: 9780203797303
Release Date: 2013-07-15
Genre: Technology & Engineering

Society forges ahead in the process of solving various contradictory problems and it is ceaselessly innovating. It is the desire of mankind to use computers and computing networks to help deal with contradictory problems and to conduct innovative activities. Using formal models to discuss object extension and the possibility of change, as well as the rules and methods for innovation, Extenics is applied to solving contradictory problems and has become the basic theory, method and instrument to achieve this goal. In the 30 years since the foundation of Extenics, researchers have built relatively complete theoretical systems —‘extension theory’, studied formal and modeling innovation methods —‘extension innovation methods’, and launched the applications in various fields such as information, design, automation and management etc. —‘extension engineering’. Extension theory, the extension innovation method and extension engineering jointly constitute the new discipline—Extenics. At the same time, the practical activities of engineering technology and management promote the integration of various innovation methods such as TRIZ and brainstorming etc. This book collects together, from scholars in various fields, the research achievements in Extenics and innovation methods, in order to facilitate and promote the development of Extenics and the various innovation theories and methods, as well as to improve its innovative capacity in academic and business circles.

Mathematical Handbook for Scientists and Engineers

Author: Granino A. Korn
Publisher: Courier Corporation
ISBN: 9780486320236
Release Date: 2013-04-26
Genre: Technology & Engineering

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

The VNR concise encyclopedia of mathematics

Author: S. Gottwald
Publisher: Van Nostrand Reinhold Company
ISBN: 0442205902
Release Date: 1989
Genre: Mathematics

Contains 46 sections divided into 3 parts: Traditional Areas of Elementary Mathematics; Major Subjects in Higher Mathematics; Important Selected Topics in Contemporary Mathematics. This text includes the interrelationships among the branches of mathematics. Over 1,000 diagrams, charts, graphs and photographs.

Discrete Fourier Analysis

Author: M. W. Wong
Publisher: Springer Science & Business Media
ISBN: 9783034801164
Release Date: 2011-05-30
Genre: Mathematics

This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis. The first part is dedicated to topics related to the Fourier transform, including discrete time-frequency analysis and discrete wavelet analysis. Basic knowledge of linear algebra and calculus is the only prerequisite. The second part is built on Hilbert spaces and Fourier series and culminates in a section on pseudo-differential operators, providing a lucid introduction to this advanced topic in analysis. Some measure theory language is used, although most of this part is accessible to students familiar with an undergraduate course in real analysis. Discrete Fourier Analysis is aimed at advanced undergraduate and graduate students in mathematics and applied mathematics. Enhanced with exercises, it will be an excellent resource for the classroom as well as for self-study.

Choice

Author:
Publisher:
ISBN: UOM:49015003161826
Release Date: 2007-03
Genre: Best books