Share

Introduction to Symmetry Analysis

2002-09-23 Mathematics
Download Introduction to Symmetry Analysis PDF Online Free

Author :
Release : 2002-09-23
Genre : Mathematics
Kind : eBook
Book Rating : 712/5 ( reviews)

GET EBOOK


Book Synopsis Introduction to Symmetry Analysis by : Brian J. Cantwell

Download or read book Introduction to Symmetry Analysis written by Brian J. Cantwell. This book was released on 2002-09-23. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.

Symmetry Analysis of Differential Equations

2015-01-20 Mathematics
Download Symmetry Analysis of Differential Equations PDF Online Free

Author :
Release : 2015-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 403/5 ( reviews)

GET EBOOK


Book Synopsis Symmetry Analysis of Differential Equations by : Daniel J. Arrigo

Download or read book Symmetry Analysis of Differential Equations written by Daniel J. Arrigo. This book was released on 2015-01-20. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features: Detailed, step-by-step examples to guide readers through the methods of symmetry analysis End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.

Symmetry Analysis of Differential Equations with Mathematica®

2013-11-21 Mathematics
Download Symmetry Analysis of Differential Equations with Mathematica® PDF Online Free

Author :
Release : 2013-11-21
Genre : Mathematics
Kind : eBook
Book Rating : 102/5 ( reviews)

GET EBOOK


Book Synopsis Symmetry Analysis of Differential Equations with Mathematica® by : Gerd Baumann

Download or read book Symmetry Analysis of Differential Equations with Mathematica® written by Gerd Baumann. This book was released on 2013-11-21. Available in PDF, EPUB and Kindle. Book excerpt: The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

Symmetry

2013 Symmetry
Download Symmetry PDF Online Free

Author :
Release : 2013
Genre : Symmetry
Kind : eBook
Book Rating : 292/5 ( reviews)

GET EBOOK


Book Synopsis Symmetry by : Ian Stewart

Download or read book Symmetry written by Ian Stewart. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is an immensely important concept in mathematics and throughout the sciences. In this volume, Ian Stewart highlights the deep implications of symmetry and its important scientific applications across the entire subject.

Symmetries and Laplacians

2007-12-21 Mathematics
Download Symmetries and Laplacians PDF Online Free

Author :
Release : 2007-12-21
Genre : Mathematics
Kind : eBook
Book Rating : 889/5 ( reviews)

GET EBOOK


Book Synopsis Symmetries and Laplacians by : David Gurarie

Download or read book Symmetries and Laplacians written by David Gurarie. This book was released on 2007-12-21. Available in PDF, EPUB and Kindle. Book excerpt: Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area. Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.

You may also like...