Download lectures on the theory of group properties of differential equations in pdf or read lectures on the theory of group properties of differential equations in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get lectures on the theory of group properties of differential equations in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.



Lectures On The Theory Of Group Properties Of Differential Equations

Author: L V Ovsyannikov
Publisher: World Scientific Publishing Company
ISBN: 9814460834
Size: 31.26 MB
Format: PDF, ePub, Mobi
View: 7273
Download and Read
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.

Applications Of Lie Groups To Differential Equations

Author: Peter J. Olver
Publisher: Springer Science & Business Media
ISBN: 9780387950006
Size: 78.96 MB
Format: PDF, ePub, Mobi
View: 6128
Download and Read
This is a solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasizing explicit examples and computations. Further examples and new theoretical developments appear in the exercises at the end of each chapter.

Group Properties Of The Acoustic Differential Equation

Author: L V Poluyanov
Publisher: CRC Press
ISBN: 1482272652
Size: 48.13 MB
Format: PDF, Docs
View: 5417
Download and Read
This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The information obtained allows the reader to construct different types of analytical solutions of the different acoustic equation. The acoustic differential equation describes sound waves in elastic media. If the media is non-homogeneous then the acoustic equation is generally very complicated and its exact solutions or analytical solutions may be considered as rare. This volume applies Lie algebra and Lie group techniques to separate independent variables and obtains exact analytical solutions. Special attention is paid to homogeneous and non-homogeneous media with different symmetry properties. The full wave acoustic equation is considered as well as the so-called phase acoustic equation which arises in the short-wave approximation.

Lectures On Ordinary Differential Equations

Author: Witold Hurewicz
Publisher: Courier Corporation
ISBN: 048679721X
Size: 77.37 MB
Format: PDF, ePub, Mobi
View: 7351
Download and Read
Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

Lectures On Analytic Differential Equations

Author: I͡U. S. Ilʹi͡ashenko
Publisher: American Mathematical Soc.
ISBN: 9780821872482
Size: 38.62 MB
Format: PDF, Mobi
View: 2646
Download and Read
Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the more recent results surveyed in the text." "The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. On several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area."--BOOK JACKET.

Galois Dream Group Theory And Differential Equations

Author: Michio Kuga
Publisher: Springer Science & Business Media
ISBN: 1461203295
Size: 36.69 MB
Format: PDF, Mobi
View: 4968
Download and Read
First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.

Linear Differential Equations And Group Theory From Riemann To Poincare

Author: Jeremy Gray
Publisher: Springer Science & Business Media
ISBN: 9780817647728
Size: 50.94 MB
Format: PDF, Mobi
View: 4663
Download and Read
This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.

Lectures On Analytic Differential Equations

Author: I͡U. S. Ilʹi͡ashenko
Publisher: American Mathematical Soc.
ISBN: 0821836676
Size: 24.64 MB
Format: PDF, Kindle
View: 5714
Download and Read
The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the more recent results surveyed in the text. The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. On several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.