Differential Geometry And The Calculus Of Variations
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Differential Geometry And The Calculus Of Variations
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Author : Robert Hermann
language : en
Publisher: Math Science Press
Release Date : 1968
Differential Geometry And The Calculus Of Variations written by Robert Hermann and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Calculus of variations categories.
Differential Geometry And The Calculus Of Variations By Robert Hermann
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Author :
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Differential Geometry And The Calculus Of Variations By Robert Hermann written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Differential Geometry Calculus Of Variations And Their Applications
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Author : George M. Rassias
language : en
Publisher: CRC Press
Release Date : 1985-10-01
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 1985-10-01 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: 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 Calculus Of Variations
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Author : Bruce van Brunt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
The Calculus Of Variations written by Bruce van Brunt 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 2006-04-18 with Mathematics categories.
Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.
Differential Geometry And Calculus Of Variations
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Author :
language : en
Publisher:
Release Date : 1987
Differential Geometry And Calculus Of Variations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Calculus Of Variations
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Author : I. M. Gelfand
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Calculus Of Variations written by I. M. Gelfand and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
Exterior Differential Systems
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Author : Robert L. Bryant
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Exterior Differential Systems written by Robert L. Bryant 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 2013-06-29 with Mathematics categories.
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus the theory is coordinate-free and computations typically have an algebraic character; however, even when coordinates are used in intermediate steps, the use of exterior algebra helps to efficiently guide the computations, and as a consequence the treatment adapts well to geometrical and physical problems. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system. In this case we are interested in integral manifolds on which certain coordinates remain independent. The corresponding notion in exterior differential systems is the independence condition: certain pfaffian forms remain linearly indepen dent. Partial differential equations and exterior differential systems with an independence condition are essentially the same object.
Mechanics Analysis And Geometry 200 Years After Lagrange
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Author : M. Francaviglia
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Mechanics Analysis And Geometry 200 Years After Lagrange written by M. Francaviglia and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.
Differential Equations And The Calculus Of Variations
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Author : Lev Ėrnestovich Ėlʹsgolʹt︠s︡
language : en
Publisher:
Release Date : 1970
Differential Equations And The Calculus Of Variations written by Lev Ėrnestovich Ėlʹsgolʹt︠s︡ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Calculus of variations categories.