Cheney E.W., Kincaid D.R. Numerical Mathematics and Computing
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Brooks/Cole, 2007. — 784 pages.Authors show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors.The objectives and the goals of our course have been met using this text. We want our students to learn the importance of seeking a numerical solution to a practical problem by applying relevant algorithms and analyze the speed of convergence, reliability, and validate the solution. We want our students to write programs using the same approach starting with a careful pseudo code before coding into the computer. We want our students to be exposed to the use of computer algebra systems. We want our students to be able to work on a variety of problems. This book has definitely met all our needs. This is why we have adopted it. This is one of the best textbooks on elementary numerical analysis available today. The instructor can easily tailor the abundant material it offers for any particular course need. Another bright spot of this book is its myriad selections of excellently compiled exercise problems that go very well with the main text.This is a well written text full of excellent examples.
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9th edition. — Brook Cole, 2010. — xiv, 877 p. — ISBN 978-0-538-73351-9. This well-respected text gives an introduction to the theory and application of modern numerical approximation techniques for students taking a one- or two-semester course in numerical analysis. With an accessible treatment that only requires a calculus prerequisite, Burden and Faires explain how, why, and...
3rd Edition. — MIT Press, 2009. — 1312 p. — ISBN 978-0262033848. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is...
Spinger, 2011. - 611 pages. 2nd Edition
Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles...
Wiley, 2011. — 743 p.
A comprehensive overview of Monte Carlo simulation that explores the latest topics, techniques, and real-world applications More and more of today's numerical problems found in engineering and finance are solved through Monte Carlo methods. The heightened popularity of these methods and their continuing development makes it important for researchers to...
Wiley, 2011. - 512 pages.
A balanced guide to the essential techniques for solving elliptic partial differential equations
Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of...
Cambridge University Press, 2007. — 1262 p.
William H. Press - Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin
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