
Title

Introduction to Numerical Analysis: Second Edition (Dover Books on Mathematics),Used
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The ultimate aim of the field of numerical analysis is to provide convenient methods for obtaining useful solutions to mathematical problems and for extracting useful information from available solutions which are not expressed in tractable forms. This wellknown, highly respected volume provides an introduction to the fundamental processes of numerical analysis, including substantial grounding in the basic operations of computation, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations, as well as in applications to such processes as the smoothing of data, the numerical summation of series, and the numerical solution of ordinary differential equations.Chapter headings include:l. Introduction2. Interpolation with Divided Differences3. Lagrangian Methods4. FiniteDifference Interpolation5. Operations with Finite Differences6. Numerical Solution of Differential Equations7. LeastSquares Polynomial ApproximationIn this revised and updated second edition, Professor Hildebrand (Emeritus, Mathematics, MIT) made a special effort to include more recent significant developments in the field, increasing the focus on concepts and procedures associated with computers. This new material includes discussions of machine errors and recursive calculation, increased emphasis on the midpoint rule and the consideration of Romberg integration and the classical Filon integration; a modified treatment of predictioncorrection methods and the addition of Hamming's method, and numerous other important topics.In addition, reference lists have been expanded and updated, and more than 150 new problems have been added. Widely considered the classic book in the field, Hildebrand's Introduction to Numerical Analysis is aimed at advanced undergraduate and graduate students, or the general reader in search of a strong, clear introduction to the theory and analysis of numbers.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the primary focus of 'Introduction to Numerical Analysis: Second Edition'? A: The book primarily focuses on providing methods for obtaining useful solutions to mathematical problems through numerical analysis, covering topics such as approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations.
- Q: Who is the author of this book? A: The author of 'Introduction to Numerical Analysis: Second Edition' is F. B. Hildebrand, who is an Emeritus Professor of Mathematics at MIT.
- Q: What are some key topics covered in this book? A: Key topics include interpolation with divided differences, Lagrangian methods, finite-difference interpolation, numerical solutions of differential equations, and least-squares polynomial approximation.
- Q: Is this book suitable for beginners in numerical analysis? A: While the book is widely respected and serves as a strong introduction, it is primarily aimed at advanced undergraduate and graduate students, making it more suitable for readers with some foundational knowledge in mathematics.
- Q: How many pages does the book contain? A: The book consists of 704 pages.
- Q: What edition is this book, and when was it published? A: This is the second edition of the book, published on June 1, 1987.
- Q: Does the book include practical problems for practice? A: Yes, the second edition includes more than 150 new problems, providing ample opportunities for practical application of the concepts discussed.
- Q: What type of binding does this book have? A: The book is available in paperback binding.
- Q: Are there any updates in the second edition compared to the first? A: Yes, the second edition has been revised to include more recent developments in numerical analysis, discussions on machine errors, and a greater focus on computer-related concepts.
- Q: What category does this book fall under? A: The book is categorized under Mathematical Analysis.