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Author: Anthony Ralston
Publisher: Courier Corporation
Published: 2001-01-01
Total Pages: 644
ISBN-13: 9780486414546
DOWNLOAD EBOOK →Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
Author: Uri M. Ascher
Publisher: SIAM
Published: 2011-07-14
Total Pages: 574
ISBN-13: 0898719976
DOWNLOAD EBOOK →Offers students a practical knowledge of modern techniques in scientific computing.
Author: Arieh Iserles
Publisher: Cambridge University Press
Published: 2008-11-27
Total Pages: 481
ISBN-13: 113947376X
DOWNLOAD EBOOK →Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.
Author: Jorge Rebaza
Publisher: John Wiley & Sons
Published: 2021-04-27
Total Pages: 464
ISBN-13: 1118229622
DOWNLOAD EBOOK →Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation for transitioning to more advanced subjects. The author utilizes MATLAB® to showcase the presented theory and illustrate interesting real-world applications to Google's web page ranking algorithm, image compression, cryptography, chaos, and waste management systems. Additional topics covered include: Linear algebra Ranking web pages Matrix factorizations Least squares Image compression Ordinary differential equations Dynamical systems Mathematical models Throughout the book, theoretical and applications-oriented problems and exercises allow readers to test their comprehension of the presented material. An accompanying website features related MATLAB® code and additional resources. A First Course in Applied Mathematics is an ideal book for mathematics, computer science, and engineering courses at the upper-undergraduate level. The book also serves as a valuable reference for practitioners working with mathematical modeling, computational methods, and the applications of mathematics in their everyday work.
Author: A. Iserles
Publisher: Cambridge University Press
Published: 2009
Total Pages: 481
ISBN-13: 0521734908
DOWNLOAD EBOOK →lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author: Uri M. Ascher
Publisher: SIAM
Published: 2011-07-14
Total Pages: 552
ISBN-13: 9780898719987
DOWNLOAD EBOOK →Offers students a practical knowledge of modern techniques in scientific computing.
Author: Parviz Moin
Publisher: Cambridge University Press
Published: 2010-08-23
Total Pages:
ISBN-13: 1139489550
DOWNLOAD EBOOK →Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.
Author: Forman S. Acton
Publisher: American Mathematical Soc.
Published: 2020-07-31
Total Pages: 549
ISBN-13: 147045727X
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