Differential Geometry Calculus Of Variations And Their Applications
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Differential Geometry Calculus Of Variations And Their Applications
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Author : George M. Rassias
language : en
Publisher: CRC Press
Release Date : 2023-05-31
Differential Geometry Calculus Of Variations And Their Applications written by George M. Rassias and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Mathematics categories.
This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Differential Geometry Calculus Of Variations And Their Applications
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Author : George M. Rassias
language : en
Publisher:
Release Date : 2023
Differential Geometry Calculus Of Variations And Their Applications written by George M. Rassias and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with MATHEMATICS categories.
This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Differential Geometry And Its Applications
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Author : John Oprea
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-02-06
Differential Geometry And Its Applications written by John Oprea 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 2019-02-06 with categories.
Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.
Differential Geometry And Its Applications
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Author : Oldřich Kowalski
language : en
Publisher: World Scientific
Release Date : 2008
Differential Geometry And Its Applications written by Oldřich Kowalski 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 volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture OC Leonhard Euler OCo 300 years onOCO by R Wilson. Notable contributors include J F Cariena, M Castrilln Lpez, J Erichhorn, J-H Eschenburg, I KoliO, A P Kopylov, J Korbai, O Kowalski, B Kruglikov, D Krupka, O Krupkovi, R L(r)andre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Muoz Masqu(r), S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slovik, J Szilasi, L Tamissy, P Walczak, and others."
Geometric Mechanics On Riemannian Manifolds
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Author : Ovidiu Calin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
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 2006-03-30 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
The Inverse Problem Of The Calculus Of Variations
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Author : Dmitry V. Zenkov
language : en
Publisher: Springer
Release Date : 2015-10-15
The Inverse Problem Of The Calculus Of Variations written by Dmitry V. Zenkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-15 with Mathematics categories.
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).
The Shapes Of Things
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Author : Shawn W. Walker
language : en
Publisher: SIAM
Release Date : 2015-06-25
The Shapes Of Things written by Shawn W. Walker and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-25 with Mathematics categories.
Many things around us have properties that depend on their shape--for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a "shape variable." This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included.
Differential Geometry And Its Applications
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Author : D. Krupka
language : en
Publisher: Springer
Release Date : 1987-07-31
Differential Geometry And Its Applications written by D. Krupka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-07-31 with Mathematics categories.
Differential Geometry And Its Applications
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Author : John Oprea
language : en
Publisher: MAA
Release Date : 2007-09-06
Differential Geometry And Its Applications written by John Oprea and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-06 with Mathematics categories.
This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.
The Shape Of Things
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Author : Shawn W. Walker
language : en
Publisher: SIAM
Release Date : 2015-12-17
The Shape Of Things written by Shawn W. Walker and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-17 with Mathematics categories.
Many things around us have properties that depend on their shape?for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a ?shape variable.? This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included.