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Differential Equations And Computer Algebra
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Book Synopsis Computer Algebra and Differential Equations by : E. Tournier
Download or read book Computer Algebra and Differential Equations written by E. Tournier and published by Cambridge University Press. This book was released on 1994-03-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.
Download or read book Involution written by Werner M. Seiler and published by Springer Science & Business Media. This book was released on 2009-10-26 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra by : W.-H. Steeb
Download or read book Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra written by W.-H. Steeb and published by World Scientific. This book was released on 1996 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It is suitable for students and research workers whose main interest lies in finding solutions to differential equations. It therefore caters for readers primarily interested in applied mathematics and physics rather than pure mathematics.The book provides an application-orientated text that is reasonably self-contained. A large number of worked examples have been included to help readers working independently of a teacher. The advance of algebraic computation has made it possible to write programs for the tedious calculations in this research field, and thus the book also makes a survey of computer algebra packages.
Book Synopsis Ordinary Differential Equations and Linear Algebra by : Todd Kapitula
Download or read book Ordinary Differential Equations and Linear Algebra written by Todd Kapitula and published by SIAM. This book was released on 2015-11-17 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.
Book Synopsis Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations by : Uri M. Ascher
Download or read book Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations written by Uri M. Ascher and published by SIAM. This book was released on 1998-08-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains all the material necessary for a course on the numerical solution of differential equations.
Book Synopsis Computational Differential Equations by : Kenneth Eriksson
Download or read book Computational Differential Equations written by Kenneth Eriksson and published by Cambridge University Press. This book was released on 1996-09-05 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.
Book Synopsis Perturbation Methods, Bifurcation Theory and Computer Algebra by : Richard H. Rand
Download or read book Perturbation Methods, Bifurcation Theory and Computer Algebra written by Richard H. Rand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation methods have always been an important tool for treating nonlinear differential equations. Now the drudgery associated with them has been eliminated! This book offers computer algebra (MACSYMA) programs which implement the most popular perturbation methods. Not only does this avoid the errors associated with hand computation, but the increase in efficiency permits more complicated problems to be tackled. This book is useful both for the beginner learning perturbation methods for the first time, as well as for the researcher. Methods covered include: Lindstedt's method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction. For each method the book includes an introduction and some example problems solved both by hand and by machine. The examples feature common bifurcations such as the pitchfork and the Hopf. The MACSYMA code for each method is given and suggested exercises are provided at the end of each Chapter. An Appendix offers a brief introduction to MACSYMA.
Book Synopsis Differential Equations and Linear Algebra, Global Edition by : C. HENRY. PENNEY EDWARDS (DAVID E.. CALVIS, DAVID.)
Download or read book Differential Equations and Linear Algebra, Global Edition written by C. HENRY. PENNEY EDWARDS (DAVID E.. CALVIS, DAVID.) and published by . This book was released on 2020-07-08 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider
Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
Book Synopsis Differential Equations by : Clay C. Ross
Download or read book Differential Equations written by Clay C. Ross and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Differential Equations: Theory and Applications by : David Betounes
Download or read book Differential Equations: Theory and Applications written by David Betounes and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
Book Synopsis Asymptotic Differential Algebra and Model Theory of Transseries by : Matthias Aschenbrenner
Download or read book Asymptotic Differential Algebra and Model Theory of Transseries written by Matthias Aschenbrenner and published by Princeton University Press. This book was released on 2017-06-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Book Synopsis A First Course in Differential Equations by : J. David Logan
Download or read book A First Course in Differential Equations written by J. David Logan and published by Springer Science & Business Media. This book was released on 2006-05-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Therearemanyexcellenttextsonelementarydi?erentialequationsdesignedfor the standard sophomore course. However, in spite of the fact that most courses are one semester in length, the texts have evolved into calculus-like pres- tations that include a large collection of methods and applications, packaged with student manuals, and Web-based notes, projects, and supplements. All of this comes in several hundred pages of text with busy formats. Most students do not have the time or desire to read voluminous texts and explore internet supplements. The format of this di?erential equations book is di?erent; it is a one-semester, brief treatment of the basic ideas, models, and solution methods. Itslimitedcoverageplacesitsomewherebetweenanoutlineandadetailedte- book. I have tried to write concisely, to the point, and in plain language. Many worked examples and exercises are included. A student who works through this primer will have the tools to go to the next level in applying di?erential eq- tions to problems in engineering, science, and applied mathematics. It can give some instructors, who want more concise coverage, an alternative to existing texts.
Book Synopsis Differential Equations and Dynamical Systems by : Lawrence Perko
Download or read book Differential Equations and Dynamical Systems written by Lawrence Perko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations.
Book Synopsis Some Tapas of Computer Algebra by : Arjeh M. Cohen
Download or read book Some Tapas of Computer Algebra written by Arjeh M. Cohen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.
Book Synopsis Differential Equations with Linear Algebra by : Matthew R. Boelkins
Download or read book Differential Equations with Linear Algebra written by Matthew R. Boelkins and published by OUP USA. This book was released on 2009-11-05 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations with Linear Algebra explores the interplay between linear algebra and differential equations by examining fundamental problems in elementary differential equations. With an example-first style, the text is accessible to students who have completed multivariable calculus and is appropriate for courses in mathematics and engineering that study systems of differential equations.
Book Synopsis Galois Theory of Linear Differential Equations by : Marius van der Put
Download or read book Galois Theory of Linear Differential Equations written by Marius van der Put and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews