Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

By: Robert Bryant, Phillip Griffiths, Daniel Grossman

Write A Review

Hardcover | 1 July 2003 | Edition Number 1

Sorry, we are not able to source the book you are looking for right now.

We did a search for other books with a similar title, however there were no matches. You can try selecting from a similar category, click on the author's name, or use the search box above to find your book.

In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws.

This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Geometry Differential & Riemannian Geometry Miscellaneous Items

Preface	p. vii
Introduction	p. 1
Lagrangians and Poincare-Cartan Forms	p. 9
Lagrangians and Contact Geometry	p. 9
The Euler-Lagrange System	p. 15
Variation of a Legendre Submanifold	p. 15
Calculation of the Euler-Lagrange System	p. 16
The Inverse Problem	p. 18
Noether's Theorem	p. 22
Hypersurfaces in Euclidean Space	p. 29
The Contact Manifold over E[superscript n+1]	p. 29
Euclidean-invariant Euler-Lagrange Systems	p. 32
Conservation Laws for Minimal Hypersurfaces	p. 35
The Geometry of Poincare-Cartan Forms	p. 45
The Equivalence Problem for n = 2	p. 47
Neo-Classical Poincare-Cartan Forms	p. 60
Digression on Affine Geometry of Hypersurfaces	p. 66
The Equivalence Problem for n [greater than or equal] 3	p. 73
The Prescribed Mean Curvature System	p. 82
Conformally Invariant Euler-Lagrange Systems	p. 87
Background Material on Conformal Geometry	p. 88
Flat Conformal Space	p. 88
The Conformal Equivalence Problem	p. 93
The Conformal Laplacian	p. 101
Conformally Invariant Poincare-Cartan Forms	p. 105
The Conformal Branch of the Equivalence Problem	p. 110
Conservation Laws for [Delta]u = Cu[superscript n+2 / n-2]	p. 118
The Lie Algebra of Infinitesimal Symmetries	p. 119
Calculation of Conservation Laws	p. 121
Conservation Laws for Wave Equations	p. 126
Energy Density	p. 129
The Conformally Invariant Wave Equation	p. 131
Energy in Three Space Dimensions	p. 135
Additional Topics	p. 141
The Second Variation	p. 141
A Formula for the Second Variation	p. 141
Relative Conformal Geometry	p. 144
Intrinsic Integration by Parts	p. 147
Prescribed Mean Curvature, Revisited	p. 148
Conditions for a Local Minimum	p. 153
Euler-Lagrange PDE Systems	p. 158
Multi-contact Geometry	p. 159
Functionals on Submanifolds of Higher Codimension	p. 163
The Betounes and Poincare-Cartan Forms	p. 166
Harmonic Maps of Riemannian Manifolds	p. 172
Higher-Order Conservation Laws	p. 176
The Infinite Prolongation	p. 176
Noether's Theorem	p. 180
The K = -1 Surface System	p. 190
Two Backlund Transformations	p. 198
Table of Contents provided by Ingram. All Rights Reserved.

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematics

Nelson Senior Maths 11 Mathematics Essential Student Book with 1 Access Code for the Australian Curriculum

Primary Mathematics

4th Edition - Integrating Theory with Practice

The Art of Gathering

How We Meet and Why It Matters

Oxford Maths for Australian Schools Year 3 Value Pack

3rd Edition

Oxford Maths for Australian Schools Year 6 Value Pack

3rd Edition

The Infinite Game

From the bestselling author of Start With Why

Collins Classics - The Republic

Collins Classics

Oxford Maths for Australian Schools Year 4 Value Pack

3rd Edition

Mathematics for Technicians

7th Edition

Maths in Focus 11 Mathematics Advanced Student Book with Nelson MindTap

Nelson WAmaths Mathematics Applications

11th Edition

The Laws of Thought

The Quest for a Mathematical Theory of the Mind

Mastering Geometry Puzzles

AK Peters/CRC Recreational Mathematics Series

Mastering Geometry Puzzles

AK Peters/CRC Recreational Mathematics Series

Introduction to Machine Learning Algorithms

Basic Principles and Mathematics

The Selfish Gene

40th Anniversary Edition

Oxford Maths for Australian Schools Year 2 Value Pack

3rd Edition

Calculus

12th Edition- Early Transcendentals, International Adaptation

The e-Dimensionality Information Principle

Data, Representation, and Algorithms

Maths in Focus 11 Mathematics Standard (Pathway 2) Student Book with Nelson MindTap

Mathematical Modelling Techniques

Mathematical Modelling Techniques

Monomial Algebras

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Deleuze, Mathematics, Metaphysics

Difference and Necessity

This product is categorised by