Differential Geometry With Applications To Mechanics And Physics
DOWNLOAD
Download Differential Geometry With Applications To Mechanics And Physics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Differential Geometry With Applications To Mechanics And Physics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Differential Geometry With Applications To Mechanics And Physics
DOWNLOAD
Author : Yves Talpaert
language : en
Publisher: CRC Press
Release Date : 2000-09-12
Differential Geometry With Applications To Mechanics And Physics written by Yves Talpaert and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-12 with Mathematics categories.
An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
Handbook Of Differential Geometry
DOWNLOAD
Author : Franki J.E. Dillen
language : en
Publisher: Elsevier
Release Date : 2005-11-29
Handbook Of Differential Geometry written by Franki J.E. Dillen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-29 with Mathematics categories.
In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas.. Written by experts and covering recent research. Extensive bibliography. Dealing with a diverse range of areas. Starting from the basics
Differential Geometry
DOWNLOAD
Author : Marcelo Epstein
language : en
Publisher: Springer
Release Date : 2014-07-02
Differential Geometry written by Marcelo Epstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-02 with Mathematics categories.
Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, symmetries in general, microstructure and local and distant symmetries of the constitutive response of continuous media. Once these ideas have been grasped at the topological level, the differential structure needed for the description of physical fields is introduced in terms of differentiable manifolds and principal frame bundles. These mathematical concepts are then illustrated with examples from continuum kinematics, Lagrangian and Hamiltonian mechanics, Cauchy fluxes and dislocation theory. This book will be useful for researchers and graduate students in science and engineering.
The Geometry Of Higher Order Lagrange Spaces
DOWNLOAD
Author : R. Miron
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Geometry Of Higher Order Lagrange Spaces written by R. Miron and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of the notion of the higher-order Lagrange space is conducted, and the old problem of prolongation of Riemannian spaces to k-osculator manifolds is solved. Also, the geometrical ground for variational calculus on the integral of actions involving higher-order Lagrangians is dealt with. Applications to higher-order analytical mechanics and theoretical physics are included as well. Audience: This volume will be of interest to scientists whose work involves differential geometry, mechanics of particles and systems, calculus of variation and optimal control, optimization, optics, electromagnetic theory, and biology.
Differential Topology And Geometry With Applications To Physics
DOWNLOAD
Author : Eduardo Nahmad-Achar
language : en
Publisher:
Release Date : 2018
Differential Topology And Geometry With Applications To Physics written by Eduardo Nahmad-Achar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Geometry, Differential categories.
"Differential geometry has encountered numerous applications in physics. More and more physical concepts can be understood as a direct consequence of geometric principles. The mathematical structure of Maxwell's electrodynamics, of the general theory of relativity, of string theory, and of gauge theories, to name but a few, are of a geometric nature. All of these disciplines require a curved space for the description of a system, and we require a mathematical formalism that can handle the dynamics in such spaces if we wish to go beyond a simple and superficial discussion of physical relationships. This formalism is precisely differential geometry. Even areas like thermodynamics and fluid mechanics greatly benefit from a differential geometric treatment. Not only in physics, but in important branches of mathematics has differential geometry effected important changes. Aimed at graduate students and requiring only linear algebra and differential and integral calculus, this book presents, in a concise and direct manner, the appropriate mathematical formalism and fundamentals of differential topology and differential geometry together with essential applications in many branches of physics." -- Prové de l'editor.
Tensor Analysis
DOWNLOAD
Author : L. P. Lebedev
language : en
Publisher: World Scientific
Release Date : 2003
Tensor Analysis written by L. P. Lebedev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the subject suitable for the student or practicing engineer. The final chapter introduces the reader to differential geometry, including the elementary theory of curves and surfaces. A well-organized formula list, provided in an appendix, makes the book a very useful reference. A second appendix contains full hints and solutions for the exercises. Undergraduates in engineering or physics, and engineers.
From Riemann To Differential Geometry And Relativity
DOWNLOAD
Author : Lizhen Ji
language : en
Publisher: Springer
Release Date : 2017-10-03
From Riemann To Differential Geometry And Relativity written by Lizhen Ji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-03 with Mathematics categories.
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
Tensor Analysis
DOWNLOAD
Author : Leonid P Lebedev
language : en
Publisher: World Scientific
Release Date : 2003-04-24
Tensor Analysis written by Leonid P Lebedev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-24 with Science categories.
Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the subject suitable for the student or practicing engineer. The final chapter introduces the reader to differential geometry, including the elementary theory of curves and surfaces. A well-organized formula list, provided in an appendix, makes the book a very useful reference. A second appendix contains full hints and solutions for the exercises.
Differential Geometry Exploring The Curves And Surfaces Of Our World
DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
Differential Geometry Exploring The Curves And Surfaces Of Our World written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Differential geometry is a captivating and mathematically rigorous field that investigates the geometry of smooth surfaces and manifolds, unlocking profound insights into the structures and behaviors of our universe. This comprehensive book serves as an invaluable guide for students, researchers, and practitioners seeking to delve into the intricacies and applications of differential geometry. With meticulous attention to detail and clarity, this book elucidates the fundamental concepts, powerful techniques, and captivating applications of differential geometry. Embark on a journey through the world of curves and surfaces, exploring their tangent spaces and differential maps, before venturing into the realm of Riemannian geometry and its applications in physics and engineering. Discover the elegance and significance of symplectic geometry, unraveling its intricate relationship with Hamiltonian mechanics and classical field theory. Delve into Kähler geometry, a specialized branch with profound implications in algebraic geometry and complex analysis. Explore the topological landscapes of differential topology, uncovering the intricacies of differential forms, cohomology, and characteristic classes. Witness the harmonious interplay between differential geometry and analysis in geometric analysis, where Sobolev spaces, heat kernels, and index theorems converge to unveil hidden structures and connections. This book is a testament to the enduring fascination with differential geometry, showcasing its profound impact on diverse fields, ranging from physics and engineering to computer graphics and artificial intelligence. With its comprehensive coverage and accessible presentation, this book empowers readers to unlock the mysteries of differential geometry and embark on a transformative intellectual journey. If you like this book, write a review!
Geometric Mechanics On Riemannian Manifolds
DOWNLOAD
Author : Ovidiu Calin
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Geometric Mechanics On Riemannian Manifolds written by Ovidiu Calin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
* 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