Applied Differential Geometry
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Applied Differential Geometry
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Author : William L. Burke
language : en
Publisher: Cambridge University Press
Release Date : 1985-05-31
Applied Differential Geometry written by William L. Burke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-05-31 with Mathematics categories.
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.
Applied Differential Geometry
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Author : Vladimir G. Ivancevic
language : en
Publisher: World Scientific
Release Date : 2007
Applied Differential Geometry written by Vladimir G. Ivancevic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective. Co-authored by the originator of the world's leading human motion simulator ? ?Human Biodynamics Engine?, a complex, 264-DOF bio-mechanical system, modeled by differential-geometric tools ? this is the first book that combines modern differential geometry with a wide spectrum of applications, from modern mechanics and physics, via nonlinear control, to biology and human sciences. The book is designed for a two-semester course, which gives mathematicians a variety of applications for their theory and physicists, as well as other scientists and engineers, a strong theory underlying their models.
Applied Differential Geometry
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Author : William L. Burke
language : en
Publisher:
Release Date : 1985
Applied Differential Geometry written by William L. Burke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator,...
Pure And Applied Differential Geometry
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Author : Franki Dillen
language : en
Publisher:
Release Date : 2007
Pure And Applied Differential Geometry written by Franki Dillen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Geometry, Differential categories.
Differential Geometry
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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.
Vector Methods Applied To Differential Geometry Mechanics And Potential Theory
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Author : D. E. Rutherford
language : en
Publisher: Courier Corporation
Release Date : 2012-04-27
Vector Methods Applied To Differential Geometry Mechanics And Potential Theory written by D. E. Rutherford and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-27 with Mathematics categories.
This text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.
Differential Geometry The Interface Between Pure And Applied Mathematics
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Author : Mladen Luksic
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Differential Geometry The Interface Between Pure And Applied Mathematics written by Mladen Luksic and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Normally, mathematical research has been divided into 'pure' and 'applied', and only within the past decade has this distinction become blurred. However, differential geometry is one area of mathematics that has not made this distinction and has consistently played a vital role in both general areas. The papers in this volume represent the proceedings of a conference entitled 'Differential Geometry: The Interface Between Pure and Applied Mathematics', which was held in San Antonio, Texas, in April 1986. The purpose of the conference was to explore recent exciting applications and challenging classical problems in differential geometry. The papers represent a tremendous range of applications and techniques in such diverse areas as ordinary differential equations, Lie groups, algebra, numerical analysis and control theory.
System Theory As Applied Differential Geometry
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1979
System Theory As Applied Differential Geometry written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Feedback (Electronics) categories.
Differential Geometry
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Author : Mladen Luksic
language : en
Publisher: American Mathematical Soc.
Release Date : 1987-12-31
Differential Geometry written by Mladen Luksic and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-31 with Mathematics categories.
Normally, mathematical research has been divided into ``pure'' and ``applied,'' and only within the past decade has this distinction become blurred. However, differential geometry is one area of mathematics that has not made this distinction and has consistently played a vital role in both general areas. The papers in this volume represent the proceedings of a conference entitled ``Differential Geometry: The Interface Between Pure and Applied Mathematics,'' which was held in San Antonio, Texas, in April 1986. The purpose of the conference was to explore recent exciting applications and challenging classical problems in differential geometry. The papers represent a tremendous range of applications and techniques in such diverse areas as ordinary differential equations, Lie groups, algebra, numerical analysis, and control theory.
Differential Geometry
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Author : Ta-tsien Li
language : en
Publisher: World Scientific
Release Date : 2008
Differential Geometry written by Ta-tsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessible manner. Although the field is often considered a OC classicalOCO one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role.The book presents some important applications to shells, such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, and mesh generation in finite element methods.This volume will be very useful to graduate students and researchers in pure and applied mathematics."