Last edited by Fenrishura

Wednesday, May 13, 2020 | History

6 edition of **Geometric analysis of hyperbolic differential equations** found in the catalog.

- 277 Want to read
- 6 Currently reading

Published
**2010**
by Cambridge University Press in Cambridge, UK, New York
.

Written in English

- Nonlinear wave equations,
- Differential equations, Hyperbolic,
- Quantum theory,
- Geometry, Differential

**Edition Notes**

Includes bibliographical references and index.

Statement | S. Alinhac. |

Series | London Mathematical Society lecture note series -- 374 |

Classifications | |
---|---|

LC Classifications | QA927 .A3886 2010 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL24039743M |

ISBN 10 | 9780521128223 |

LC Control Number | 2010001099 |

OCLC/WorldCa | 489001674 |

hyperbolic system () reduces to a set of independent scalar hyperbolic equations. If B is not zero, then in general the resulting system of equations is coupled together, but only in the undifferentiated terms. The effect of the lower order term, Bu,is to causeFile Size: 1MB. Well it depends on your level of mathematical sophistication, but there are several good books. My main recommendation -- assuming you have some college level math knowledge -- is that if what you are interested in is specifically hyperbolic geo.

Hyperbolic Partial Differential Equations by Peter D. Lax, , The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an 5/5(2). Destination page number Search scope Search Text Search scope Search Text.

This book presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have. hyperbolic partial differential equations and geometric optics The interested reader has access to a vast literature on hyperbolic Partial Differential Equations. The ubiquitous presence of hyperbolic PDEs (from pure Mathematics to applied Engineering) has made these .

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Geometric Analysis of Hyperbolic Differential Equations: An Introduction (London Mathematical Society Lecture Note Series Book ) - Kindle edition by S. Alinhac. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Geometric Analysis of Hyperbolic Differential Equations: An Introduction (London.

Geometric Analysis of Hyperbolic Differential Equations: An Introduction (London Mathematical Society Lecture Note Series) 1st Edition by S. Alinhac (Author) › Visit Amazon's S. Alinhac Page. Find all the books, read about the author, and more.

Cited by: Get this from a library. Geometric analysis of hyperbolic differential equations: an introduction. [S Alinhac] -- "Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave.

Geometric analysis of hyperbolic differential equations. Summary: Its self-contained presentation and 'do-it-yourself' approach makes this the perfect guide for graduate students wishing to access recent literature in the field of mathematical relativity.

This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed. Among the topics carefully presented in the book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear.

This book presents an introduction to hyperbolic partial diﬀerential equations. A major subtheme is geometric optics linear and nonlinear. The two central results of linear microlocal analysis are derived from geometric optics. The nonlinear geometric optics presents an introduction to methods.

This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering.

speci cally hyperbolic PDE. It can be read by students with ve years of university training, or partial di erential equations researchers, without any knowledge of di erential geometry.

Though the largest part of the text is about geometric concepts, this book is not a book. Geometric Analysis of Hyperbolic Differential Equations: An Introduction by Serge Alinhac,available at Book Depository with free delivery : Serge Alinhac.

Hyperbolic Partial Differential Equations and Geometric Optics Jeffrey Rauch This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular.

I suggest: S. Alinhac, Hyperbolic partial differential equations, Springer Universitext, The classic PDE book by F. John also gives a solid introduction to hyperbolic equations and systems, however his style of writing differs somewhat from todays. The author is a professor of mathematics at the University of Michigan.

A recognized expert in partial differential equations, he has made important contributions to the transformation of three areas of hyperbolic partial differential equations: nonlinear microlocal analysis, the control of waves, and nonlinear geometric optics. Harry Bateman was a famous English mathematician.

In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions.

In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n − 1 derivatives. More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic of the equations of mechanics are hyperbolic, and so the.

at a given point. A partial differential equation for which the Cauchy problem is uniquely solvable for initial data specified in a neighbourhood of on any non-characteristic surface (cf.

Characteristic surface).In particular, a partial differential equation for which the normal cone has no imaginary zones is a hyperbolic partial differential equation. Find many great new & used options and get the best deals for London Mathematical Society Lecture Note: Geometric Analysis of Hyperbolic Differential Equations: an Introduction by S.

Alinhac (, Paperback) at the best online prices at eBay. Free shipping for many products. analysis, pseudo Riemannian geometry. General relativity is used as a guiding example in the last part. Exercises, midterm and nal with solutions as well as 4 appendices listing some results and de nitions in real analysis, geometry, measure theory and di erential equations are located at the end of the Size: KB.

Geometric Mechanics on Riemannian Manifolds is a fine text for a course or seminar directed at graduate and advanced undergraduate students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics.

It is also an ideal resource for pure and applied mathematicians. Ordinary differential equations an elementary text book with an introduction to Lie's theory of the group of one parameter. This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics.

For graduate mathematics students who have completed a rigorous course in partial differential equations, Rauch (mathematics, U. of Michigan)introduces hyperbolic versions of them.

A major subtheme is linear and nonlinear geometric optics, along with the central results of linear microlocal analysis that are derived from them. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups.

This book can be utilized for a one-year course on partial differential equations. For the new edition the author has added a new chapter on reaction-diffusion equations and systems.diﬀerential geometry, topology and global analysis is even more pronounced in the newer quantum theories such as gauge ﬁeld theory and string theory.

The amount of mathematical sophistication required for a good understanding of modern physics is astounding. On the other hand, the philosophy of this bookFile Size: 9MB.Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods.

The solution of PDEs can be very challenging, depending on the type of equation, the number of.