Differential Equations With Symbolic Computation
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Author | : Dongming Wang |
Publisher | : Springer Science & Business Media |
Total Pages | : 374 |
Release | : 2006-03-16 |
Genre | : Mathematics |
ISBN | : 3764374292 |
This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.
Author | : Dean G. Duffy |
Publisher | : CRC Press |
Total Pages | : 727 |
Release | : 2004-07-15 |
Genre | : Mathematics |
ISBN | : 1420035142 |
Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana
Author | : Victor Grigor'e Ganzha |
Publisher | : CRC Press |
Total Pages | : 364 |
Release | : 1996-07-12 |
Genre | : Mathematics |
ISBN | : 9780849373794 |
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.
Author | : Clay C. Ross |
Publisher | : Springer Science & Business Media |
Total Pages | : 445 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475739494 |
The first edition (94301-3) was published in 1995 in TIMS and had 2264 regular US sales, 928 IC, and 679 bulk. This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.
Author | : Werner M. Seiler |
Publisher | : Springer Science & Business Media |
Total Pages | : 663 |
Release | : 2009-10-26 |
Genre | : Mathematics |
ISBN | : 3642012876 |
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
Author | : Kenneth Eriksson |
Publisher | : Cambridge University Press |
Total Pages | : 558 |
Release | : 1996-09-05 |
Genre | : Mathematics |
ISBN | : 9780521567381 |
This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.
Author | : Peter Deuflhard |
Publisher | : Springer Science & Business Media |
Total Pages | : 498 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0387215824 |
Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area
Author | : Frank E. Harris |
Publisher | : Academic Press |
Total Pages | : 787 |
Release | : 2014-05-24 |
Genre | : Mathematics |
ISBN | : 0128010495 |
Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. - Clarifies each important concept to students through the use of a simple example and often an illustration - Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) - Shows how symbolic computing enables solving a broad range of practical problems
Author | : Bruno Buchberger |
Publisher | : Cambridge University Press |
Total Pages | : 566 |
Release | : 1998-02-26 |
Genre | : Mathematics |
ISBN | : 9780521632980 |
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Author | : Joel S. Cohen |
Publisher | : CRC Press |
Total Pages | : 323 |
Release | : 2002-07-19 |
Genre | : Computers |
ISBN | : 1439863695 |
This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and