Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches

Author:   Manuel De Leon (Consejo Superior De Investigaciones Cientificas, Spain) ,  Modesto Salgado-seco (Univ De Santiago De Compostela, Spain) ,  Silvia Vilarino-fernandez (Centro Univ De La Defensa Zaragoza, Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814699754


Pages:   224
Publication Date:   25 September 2015
Format:   Hardback
Availability:   In Print   Availability explained
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Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches


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Overview

This book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism.It will be very useful for researchers working in classical field theories and graduate students interested in developing a scientific career in the subject.

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Author:   Manuel De Leon (Consejo Superior De Investigaciones Cientificas, Spain) ,  Modesto Salgado-seco (Univ De Santiago De Compostela, Spain) ,  Silvia Vilarino-fernandez (Centro Univ De La Defensa Zaragoza, Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.20cm , Height: 1.40cm , Length: 22.90cm
Weight:   0.467kg
ISBN:  

9789814699754


ISBN 10:   9814699756
Pages:   224
Publication Date:   25 September 2015
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

A Review of Hamiltonian and Lagrangian Mechanics: Hamiltonian and Lagrangian Mechanics; k-Symplectic Formulation of Classical Field Theories: k-Symplectic Geometry; k-Symplectic Formalism; Hamiltonian Classical Field Theory; Hamilton-Jacobi Theory in k-Symplectic Field Theories; Lagrangian Classical Field Theories; Examples; k-Cosymplectic Formulation of Classical Field Theories: k-Cosymplectic Geometry; k-Cosymplectic Formalism; Hamiltonian Classical Field Theories; Hamilton-Jacobi Equation; Lagrangian Classical Field Theories; Examples; k-Symplectic Systems versus Autonomous k-Cosymplectic Systems; Relationship between k-Symplectic and k-Cosymplectic Approaches and the Multisymplectic Formalism: Multisymplectic Formalism; Appendices: Symplectic Manifolds; Cosymplectic Manifolds; Glossary of Symbols;

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