Categories

- Author: Alex Kasman
- Pages: 304
- Language: English
- ISBN/ASIN: 0821852450
- ISBN13: 9780821852453
- Upload date: 22-12-2016, 17:10
- Category: Mathematics

Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like behavior. This is quite surprising, both mathematically and physically. Waves with these properties were once believed to be impossible by leading mathematical physicists, yet they are now not only accepted as a theoretical possibility but are regularly observed in nature and form the basis of modern fiber-optic communication networks. Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. Assuming only multivariable calculus and linear algebra as prerequisites, this book introduces the reader to the KdV Equation and its multisoliton solutions, elliptic curves and Weierstrass $wp$-functions, the algebra of differential operators, Lax Pairs and their use in discovering other soliton equations, wedge products and decomposability, the KP Equation and Sato's theory relating the Bilinear KP Equation to the geometry of Grassmannians. Notable features of the book include: careful selection of topics and detailed explanations to make this advanced subject accessible to any undergraduate math major, numerous worked examples and thought-provoking but not overly-difficult exercises, footnotes and lists of suggested readings to guide the interested reader to more information, and use of the software package MathematicaA® to facilitate computation and to animate the solutions under study. This book provides the reader with a unique glimpse of the unity of mathematics and could form the basis for a self-study, one-semester special topics, or "capstone" course.

- Download Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear Pdes (Student Mathematical Library) - UseNet cloud
- http://tezfiles.com/file/b300f9bbee835/0821852450.pdf

* If download links doesn't work. Please write a comment.

Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear Pdes (Student Mathematical Library) Download via usenet
Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations (Contemporary Mathematics and Its Applications Book Series) Partial Differential Equations: An Introduction to Theory and Applications Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis Partial Differential Equations III: Nonlinear Equations Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics) Local And Global Analysis of Nonlinear Dispersive And Wave Equations Linear Algebra and Geometry Linear Algebra (Springer Undergraduate Texts in Mathematics) Lectures on Linear Partial Differential Equations Introduction to Partial Differential Equations with MATLAB Introduction to Nonlinear Dispersive Equations (Universitext) Hyperbolic Partial Differential Equations and Geometric Optics (Graduate Studies in Mathematics) Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs in Mathematics) Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences) Beginning Partial Differential Equations (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Student Mathematical Library, V. 22) A Textbook on Ordinary Differential Equations, 2nd edition A textbook on Ordinary Differential Equations A Dressing Method in Mathematical Physics (Mathematical Physics Studies) A Basic Course in Partial Differential Equations (Graduate Studies in Mathematics) Mathematical Physics with Partial Differential Equations

Tree Knowledge | Female Moon | Essential Chinese Vocabulary | Understanding Chinese Society | Departed | Sentence Processing | Debra Webb | Vente Libro | White | Rebecca Raisin | Kamal Ravikant | Ronald Mcrae | Frank Flake Leitfaden Rettungsdienst | Bioconjugate | Castings | Mebane Faber | Jemma Thorne | Practical Aspects | Concentration | Hochspannungsmesstechnik | Bwl Für Dummies | Jürgen Weber | Massive Results | Emery | Dixie | Elizabeth Kingston | Gloria | Jade Remedies | Johnathan Bishop | Delusion Deception | Caribbean Food | Caribbean Recipes | Caribbean Cuisine | Jowett | Error |