# eBook Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations (Applied and Numerical Harmonic Analysis) download

## by Ovidiu Calin,Der-Chen Chang

**ISBN:**0817643540

**Author:**Ovidiu Calin,Der-Chen Chang

**Publisher:**Birkhäuser; 2005 edition (October 25, 2004)

**Language:**English

**Pages:**278

**ePub:**1526 kb

**Fb2:**1690 kb

**Rating:**4.1

**Other formats:**mobi doc rtf lit

**Category:**Math Sciences

**Subcategory:**Mathematics

by Ovidiu Calin (Author), Der-Chen Chang (Author).

by Ovidiu Calin (Author), Der-Chen Chang (Author). ISBN-13: 978-0817643546. The differential operators which are treated in the book are among the most important, not only in the theory of partial differential equation, but they appear naturally in geometry, mechanics or theoretical physics (especially quantum mechanics). Thus, the book should be of interest for anyone working in these fields, from advanced undergraduate students to experts. The book is written in a very pedagogical manner and does not assume many prerequisites, therefore it is quite appropriate to be used for special courses or for self-study.

Ovidiu Calin, Der-Chen Chang. Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, Schrödinger's, Einstein's and Newton's equations, and others. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases, . the case of quartic oscillators, these methods do not work.

Georgetown University. Geometric classification of warped products of nearly Kaehler manifolds with a slant fiber.

Start by marking Geometric Mechanics on Riemannian Manifolds . Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations (Applied and Numerical Harmonic Analysis).

Start by marking Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations as Want to Read: Want to Read savin. ant to Read. Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mecha A geometric approach to problems in physics, many of which cannot be solved by any other methods. 0817643540 (ISBN13: 9780817643546).

Ovidiu Calin, Der-Chen Chang

Ovidiu Calin, Der-Chen Chang. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger's, Einstein's and Newton's equations. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases (. Series: Applied and Numerical Harmonic Analysis. File: PDF, . 0 MB. Читать онлайн.

Preface Introductory Chapter Laplace Operator on Riemannian Manifolds Lagrangian .

Preface Introductory Chapter Laplace Operator on Riemannian Manifolds Lagrangian Formalism on Riemannian Manifolds Harmonic Maps from a Lagrangian Viewpoint Conservation Theorems Hamiltonian Formalism Hamilton-Jacobi Theory Minimal Hypersurfaces Radially Symmetric Spaces Fundamental Solutions for Heat Operators with Potentials Fundamental Solutions for Elliptic Operators Mechanical Curves Bibliography Index

Series: Applied and Numerical Harmonic Analysis. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

Series: Applied and Numerical Harmonic Analysis. 4 MB. Распространяем знания с 2009. Пользовательское соглашение.

Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations – Электрондук китептин автору: Ovidiu Calin, Der-Chen Chang

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* A geometric approach to problems in physics, many of which cannot be solved by any other methods

* Text is enriched with good examples and exercises at the end of every chapter

* Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics