Differential Forms With Applications To The Physical Sciences

Author : Harley Flanders
Publisher : Courier Corporation
ISBN 13 : 0486139611
Total Pages : 226 pages
Book Rating : 4.16/5 ( download)

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Download or read book Differential Forms with Applications to the Physical Sciences written by Harley Flanders and published by Courier Corporation. This book was released on 2012-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To the reader who wishes to obtain a bird's-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book." — T. J. Willmore, London Mathematical Society Journal. This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics. Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory. "The book is very readable, indeed, enjoyable — and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for ... first year graduate students and bright undergraduates." — F. E. J. Linton, Wesleyan University, American Mathematical Monthly.

Author :
Publisher : Elsevier
ISBN 13 : 9780080955186
Total Pages : 322 pages
Book Rating : 4.85/5 ( download)

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Download or read book Differential Forms with Applications to the Physical Sciences by Harley Flanders written by and published by Elsevier. This book was released on 1963-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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; and methods 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 particular branches, 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

Author : Harry Flanders
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.88/5 ( download)

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Download or read book Differential Forms written by Harry Flanders and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Manfredo P. Do Carmo
Publisher : Springer Science & Business Media
ISBN 13 : 3642579515
Total Pages : 124 pages
Book Rating : 4.16/5 ( download)

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Download or read book Differential Forms and Applications written by Manfredo P. Do Carmo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.

Author : David Lovelock
Publisher : Courier Corporation
ISBN 13 : 048613198X
Total Pages : 400 pages
Book Rating : 4.86/5 ( download)

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Download or read book Tensors, Differential Forms, and Variational Principles written by David Lovelock and published by Courier Corporation. This book was released on 2012-04-20 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

Author : R. W. R. Darling
Publisher : Cambridge University Press
ISBN 13 : 9780521468008
Total Pages : 288 pages
Book Rating : 4.00/5 ( download)

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Download or read book Differential Forms and Connections written by R. W. R. Darling and published by Cambridge University Press. This book was released on 1994-09-22 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--this textbook covers both classical surface theory, the modern theory of connections, and curvature. With no knowledge of topology assumed, the only prerequisites are multivariate calculus and linear algebra.

Author : Steven H. Weintraub
Publisher : Elsevier
ISBN 13 : 0123946174
Total Pages : 408 pages
Book Rating : 4.71/5 ( download)

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Download or read book Differential Forms written by Steven H. Weintraub and published by Elsevier. This book was released on 2014-02-19 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, 2nd Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice. Provides a solid theoretical basis of how to develop and apply differential forms to real research problems Includes computational methods to enable the reader to effectively use differential forms Introduces theoretical concepts in an accessible manner

Author :
Publisher : Elsevier
ISBN 13 : 9780080875248
Total Pages : 484 pages
Book Rating : 4.46/5 ( download)

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Download or read book Differential Forms in Mathematical Physics written by and published by Elsevier. This book was released on 2009-06-17 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Forms in Mathematical Physics

Author : Erwin Kreyszig
Publisher : Courier Corporation
ISBN 13 : 0486318621
Total Pages : 384 pages
Book Rating : 4.22/5 ( download)

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Download or read book Differential Geometry written by Erwin Kreyszig and published by Courier Corporation. This book was released on 2013-04-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.

Author : Erdogan Suhubi
Publisher : Elsevier
ISBN 13 : 0124159281
Total Pages : 779 pages
Book Rating : 4.80/5 ( download)

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Download or read book Exterior Analysis written by Erdogan Suhubi and published by Elsevier. This book was released on 2013-09-13 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve problems in defining a precise measurement to ensure structural integrity. The book provides methods to study different types of equations and offers detailed explanations of fundamental theories and techniques to obtain concrete solutions to determine symmetry. It is a useful tool for structural, mechanical and electrical engineers, as well as physicists and mathematicians. Provides a thorough explanation of how to apply differential equations to solve real-world engineering problems Helps researchers in mathematics, science, and engineering develop skills needed to implement mathematical techniques in their research Includes physical applications and methods used to solve practical problems to determine symmetry