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Author: D. Wang
Publisher: Springer Science & Business Media
ISBN: 9783211832417
Category : Computers
Languages : en
Pages : 268
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Book Description
This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Gröbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and applicable to many other problems. Suitable as a graduate text, this book offers an indispensable reference for everyone interested in mathematical computation, computer algebra (software), and systems of algebraic equations.
Author: D. Wang
Publisher: Springer Science & Business Media
ISBN: 9783211832417
Category : Computers
Languages : en
Pages : 268
Get Book Here
Book Description
This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Gröbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and applicable to many other problems. Suitable as a graduate text, this book offers an indispensable reference for everyone interested in mathematical computation, computer algebra (software), and systems of algebraic equations.
Author: Joe D. Hoffman
Publisher: CRC Press
ISBN: 1482270609
Category : Mathematics
Languages : en
Pages : 838
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Book Description
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 3034892721
Category : Mathematics
Languages : en
Pages : 273
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Book Description
The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high order system of linear algebraic equations of special form (ill-conditioned, band-structured). Application of general linear algebra methods is not always appropriate for such systems because of the need to store a large volume of information, as well as because of the large amount of work required by these methods. For the solution of difference equations, special methods have been developed which, in one way or another, take into account special features of the problem, and which allow the solution to be found using less work than via the general methods. This work is an extension of the book Difference M ethod3 for the Solution of Elliptic Equation3 by A. A. Samarskii and V. B. Andreev which considered a whole set of questions connected with difference approximations, the con struction of difference operators, and estimation of the ~onvergence rate of difference schemes for typical elliptic boundary-value problems. Here we consider only solution methods for difference equations. The book in fact consists of two volumes.
Author: Nayef Ghasem
Publisher: CRC Press
ISBN: 1000907325
Category : Technology & Engineering
Languages : en
Pages : 371
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Book Description
Numerical methods are vital to the practice of chemical engineering, allowing for the solution of real-world problems. Written in a concise and practical format, this textbook introduces readers to the numerical methods required in the discipline of chemical engineering and enables them to validate their solutions using both Python and Simulink. Introduces numerical methods, followed by the solution of linear and nonlinear algebraic equations. Deals with the numerical integration of a definite function and solves initial and boundary value ordinary differential equations with different orders. Weaves in examples of various numerical methods and validates solutions to each with Python and Simulink graphical programming. Features appendices on how to use Python and Simulink. Aimed at advanced undergraduate and graduate chemical engineering students, as well as practicing chemical engineers, this textbook offers a guide to the use of two of the most widely used programs in the discipline. The textbook features numerous video lectures of applications and a solutions manual for qualifying instructors.
Author: Robert G. Keys
Publisher: SEG Books
ISBN: 1560800496
Category : Science
Languages : en
Pages : 222
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Book Description
Author: Sanichiro Yoshida
Publisher: Springer
ISBN: 3319416006
Category : Technology & Engineering
Languages : en
Pages : 337
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Book Description
Advancement of Optical Methods in Experimental Mechanics, Volume 3 of the Proceedings of the 2016 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the third volume of ten from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of optical methods ranging from traditional photoelasticity and interferometry to more recent DIC and DVC techniques, and includes papers in the following general technical research areas: Advances in Digital Image Correlation Challenging Applications of DIC Uncertainty Analysis & Improvements to DIC Accuracy Photoelasticity, Interferometry, & Moire Methods Applications of Stereovision Inverse Methods at High Strain Rates Inverse Methods in Plasticity
Author: Lopes, J. Bernardino
Publisher: IGI Global
ISBN: 1522585710
Category : Education
Languages : en
Pages : 445
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Book Description
While already validated by the scientific community, multimodal narratives have the potential for a broader application, especially for improved teaching practices from a professional or a theoretical point of view. Applying multimodal narratives within professional development courses creates a focus on the teaching practices rather than the content itself. Multimodal Narratives in Research and Teaching Practices provides educator and researcher perspectives on the use of multimodal narratives as a tool to reflect and improve teaching practices. Covering such topics as professional development, online learning, and teacher education, this publication is designed for educators, academicians, administrators, and researchers.
Author: Gareth Williams
Publisher: Jones & Bartlett Learning
ISBN: 9780763757533
Category :
Languages : en
Pages : 568
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Book Description
Linear Algebra with Applications, Sixth Edition is designed for the introductory course in linear algebra typically offered at the sophomore level. The new Sixth Edition is reorganized and arranged into three important parts. Part 1 introduces the basics, presenting the systems of linear equations, vectors in Rn, matrices, linear transformations, and determinants. Part 2 builds on this material to discuss general vector spaces, such as spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods in Numerical Linear Algebra, such as ill-conditioning, pivoting, and the LU decomposition. New applications include the role of linear algebra in the operation of the search engine Google and the global structure of the worldwide air transportation network have been added as a means of presenting real-world scenarios of the many functions of linear algebra in modern technology. Clear, Concise, Comprehensive - Linear Algebra with Applications, Sixth Edition continues to educate and enlighten students, providing a broad exposure to the many facets of the field.
Author: Zekeriya Altaç
Publisher: CRC Press
ISBN: 1040132812
Category : Mathematics
Languages : en
Pages : 2042
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Book Description
Numerical Methods for Scientists and Engineers: With Pseudocodes is designed as a primary textbook for a one-semester course on Numerical Methods for sophomore or junior-level students. It covers the fundamental numerical methods required for scientists and engineers, as well as some advanced topics which are left to the discretion of instructors. The objective of the text is to provide readers with a strong theoretical background on numerical methods encountered in science and engineering, and to explain how to apply these methods to practical, real-world problems. Readers will also learn how to convert numerical algorithms into running computer codes. Features: Numerous pedagogic features including exercises, “pros and cons” boxes for each method discussed, and rigorous highlighting of key topics and ideas Suitable as a primary text for undergraduate courses in numerical methods, but also as a reference to working engineers A Pseudocode approach that makes the book accessible to those with different (or no) coding backgrounds, which does not tie instructors to one particular language over another A dedicated website featuring additional code examples, quizzes, exercises, discussions, and more: https://github.com/zaltac/NumMethodsWPseudoCodes A complete Solution Manual and PowerPoint Presentations are available (free of charge) to instructors at www.routledge.com/9781032754741
Author: Gopalan Nadathur
Publisher: Springer
ISBN: 3540481648
Category : Computers
Languages : en
Pages : 444
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Book Description
This book constitutes the refereed proceedings of the International Conference on Principles and Practice of Declarative Programming, PPDP'99, held in Paris, France, in September/October 1999. The 22 revised full papers presented together with three invited contributions were carefully reviewed and selected from a total of 52 full-length papers submitted. Among the topics covered are type theory; logics and logical methods in understanding, defining, integrating, and extending programming paradigms such as functional, logic, object-oriented, constraint, and concurrent programming; support for modularity; the use of logics in the design of program development tools; and development and implementation methods.
