Author: D. H. ParsonsPublisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 88
Book Description
The Extension of Darboux's Method
Author: D. H. ParsonsPublisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 88
Book Description
Theory of Differential Equations ...
Author: Andrew Russell ForsythPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 613
Book Description
Theory of Differential Equations
Author: ForsythPublisher: Cambridge University Press
ISBN: 1107692741
Category : Differential equations
Languages : en
Pages : 611
Book Description
Theory of Differential Equations
Author: Andrew Russell ForsythPublisher: CUP Archive
ISBN:
Category : Differential equations
Languages : en
Pages : 620
Book Description
Emergence of the Theory of Lie Groups
Author: Thomas HawkinsPublisher: Springer Science & Business Media
ISBN: 1461212022
Category : Mathematics
Languages : en
Pages : 578
Book Description
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.
Lie's Structural Approach to PDE Systems
Author: Olle StormarkPublisher: Cambridge University Press
ISBN: 9780521780889
Category : Mathematics
Languages : en
Pages : 604
Book Description
Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
The Christoffel–Darboux Kernel for Data Analysis
Author: Jean Bernard LasserrePublisher: Cambridge University Press
ISBN: 1108838065
Category : Computers
Languages : en
Pages : 185
Book Description
This accessible overview introduces the Christoffel-Darboux kernel as a novel, simple and efficient tool in statistical data analysis.
Bulletin (new Series) of the American Mathematical Society
Author: A Dressing Method in Mathematical Physics
Author: Evgeny V. DoktorovPublisher: Springer Science & Business Media
ISBN: 1402061404
Category : Science
Languages : en
Pages : 413
Book Description
This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. Throughout, the text exploits the "linear experience" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions.
Algebraic and Geometric Methods in Mathematical Physics
Author: Anne Boutet de MonvelPublisher: Springer Science & Business Media
ISBN: 940170693X
Category : Science
Languages : en
Pages : 471
Book Description
Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993