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| Author | : Anthony Ralston |
| Publisher | : Courier Corporation |
| Total Pages | : 644 |
| Release | : 2001-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486414546 |
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 |
| Total Pages | : 574 |
| Release | : 2011-07-14 |
| Genre | : Mathematics |
| ISBN | : 0898719976 |
Offers students a practical knowledge of modern techniques in scientific computing.
| Author | : A. Iserles |
| Publisher | : Cambridge University Press |
| Total Pages | : 481 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0521734908 |
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 | : Parviz Moin |
| Publisher | : Cambridge University Press |
| Total Pages | : 257 |
| Release | : 2010-08-23 |
| Genre | : Technology & Engineering |
| ISBN | : 1139489550 |
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 | : Jorge Rebaza |
| Publisher | : John Wiley & Sons |
| Total Pages | : 458 |
| Release | : 2012-04-24 |
| Genre | : Mathematics |
| ISBN | : 1118277155 |
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 | : Forman S. Acton |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 549 |
| Release | : 2020-07-31 |
| Genre | : Mathematics |
| ISBN | : 147045727X |
| Author | : Rainer Kress |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 340 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461205999 |
An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. The text is presented in a concise and easily understandable fashion so as to be successfully mastered in a one-year course.
| Author | : David F. Griffiths |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 274 |
| Release | : 2010-11-11 |
| Genre | : Mathematics |
| ISBN | : 0857291483 |
Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge--Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
| Author | : Richard W. Hamming |
| Publisher | : Courier Corporation |
| Total Pages | : 354 |
| Release | : 2012-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486485900 |
"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an extensive range of topics includes round-off and function evaluation, real zeros of a function, integration, ordinary differential equations, optimization, orthogonal functions, Fourier series, and much more. 1989 edition"--Provided by publisher.
| Author | : James Edward Miller |
| Publisher | : Courier Corporation |
| Total Pages | : 338 |
| Release | : 2011-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486479064 |
This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively small number of basic concepts and techniques. Many exercises appear throughout the text, most with solutions. An extensive tutorial explains how to solve problems with C++.
