Applied Exterior Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Exterior Calculus write by Dominic G. B. Edelen. This book was released on 2005-01-01. Applied Exterior Calculus available in PDF, EPUB and Kindle. This text begins with the essentials, advancing to applications and studies of physical disciplines, including classical and irreversible thermodynamics, electrodynamics, and the theory of gauge fields. Geared toward advanced undergraduates and graduate students, it develops most of the theory and requires only a familiarity with upper-division algebra and mathematical analysis. "Essential." — SciTech Book News. 1985 edition.
Finite Element Exterior Calculus
Finite Element Exterior Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Element Exterior Calculus write by Douglas N. Arnold. This book was released on 2018-12-12. Finite Element Exterior Calculus available in PDF, EPUB and Kindle. Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world?wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more?are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Discrete Calculus
Discrete Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Calculus write by Leo J. Grady. This book was released on 2010-07-23. Discrete Calculus available in PDF, EPUB and Kindle. This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.
Exterior Calculus: Theory and Cases
Exterior Calculus: Theory and Cases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exterior Calculus: Theory and Cases write by Carlos Polanco. This book was released on 2021-09-01. Exterior Calculus: Theory and Cases available in PDF, EPUB and Kindle. Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.
Applied Differential Geometry
Applied Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Differential Geometry write by William L. Burke. This book was released on 1985-05-31. Applied Differential Geometry available in PDF, EPUB and Kindle. 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.
