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Author: John P. Boyd Publisher: SIAM ISBN: 1611973511 Category : Mathematics Languages : en Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute?not always needed, but indispensable when it is. The author?s goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations. Solving Transcendental Equations is unique in that it is the first book to describe the Chebyshev-proxy rootfinder, which is the most reliable way to find all zeros of a smooth function on the interval, and the very reliable spectrally enhanced Weyl bisection/marching triangles method for bivariate rootfinding, and it includes three chapters on analytical methods?explicit solutions, regular pertubation expansions, and singular perturbation series (including hyperasymptotics)?unlike other books that give only numerical algorithms for solving algebraic and transcendental equations. This book is written for specialists in numerical analysis and will also appeal to mathematicians in general. It can be used for introductory and advanced numerical analysis classes, and as a reference for engineers and others working with difficult equations.
Author: John P. Boyd Publisher: SIAM ISBN: 1611973511 Category : Mathematics Languages : en Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute?not always needed, but indispensable when it is. The author?s goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations. Solving Transcendental Equations is unique in that it is the first book to describe the Chebyshev-proxy rootfinder, which is the most reliable way to find all zeros of a smooth function on the interval, and the very reliable spectrally enhanced Weyl bisection/marching triangles method for bivariate rootfinding, and it includes three chapters on analytical methods?explicit solutions, regular pertubation expansions, and singular perturbation series (including hyperasymptotics)?unlike other books that give only numerical algorithms for solving algebraic and transcendental equations. This book is written for specialists in numerical analysis and will also appeal to mathematicians in general. It can be used for introductory and advanced numerical analysis classes, and as a reference for engineers and others working with difficult equations.
Author: Ronald Goldman Publisher: CRC Press ISBN: 1439803358 Category : Computers Languages : en Pages : 592
Book Description
Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with f
Author: John P. Boyd Publisher: SIAM ISBN: 161197352X Category : Mathematics Languages : en Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Author: Gabriela Csurka Publisher: Springer ISBN: 3642323502 Category : Computers Languages : en Pages : 278
Book Description
This book constitutes the refereed proceedings of the International Conference, VISIGRAPP 2011, the Joint Conference on Computer Vision, Theory and Applications (VISAPP), on Imaging Theory and Applications (IMAGAPP), on Computer Graphics Theory and Applications (GRAPP), and on Information Visualization Theory and Applications (IVAPP), held in Vilamoura, Portugal, in March 2011. The 15 revised full papers presented together with one invited paper were carefully reviewed and selected. The papers are organized in topical sections on computer graphics theory and applications; imaging theory and applications; information visualization theory and applications; and computer vision theory and applications.
Author: Pierre-andre Belanger Publisher: World Scientific Publishing Company ISBN: 9813104651 Category : Science Languages : en Pages : 246
Book Description
This book describes the electromagnetic theory for the propagating modes of dielectric guides with the objective of understanding the applications of these guides to a telecommunication system. Every book on classical electromagnetism introduces the metallic waveguides as an example of application of the Maxwell equations with boundary conditions. A few books summarily describe the dielectric guides. Nevertheless, following the applications of these guides in the form of optical fibers, it has become essential for a course on applied electromagnetism to cover this theory and emphasize on the dispersion minimisation which allows an extreme bandwidth. The dispersionless “solitonic” solution is introduced to inform the reader on this new optical pulse shape which may soon ensure transoceanic communications. The study of the minimisation of the waveguide dispersion leads us, by means of several calculated frames, to the weakly-guiding condition. This essential condition for a large bandwidth fiber leads us to the introduction of the practical LP modes. In order to initiate the reader into integrated optics components, the electromagnetic solution for two coupled planar waveguides is treated in an appendix. Another appendix allows the reader to go through a quick initiation of the geometrical optics theory (essential for the study of graded-index fiber), being the iconal equation and the ray equation starting from Maxwell equation under the short wavelength approximation.
Author: John P. Boyd
Author: John P. Boyd
Author: Ronald Goldman
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Author: John P. Boyd
Author: Gabriela Csurka
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Author: 
Author: Pierre-andre Belanger
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