Numerical Analysis For Applied Science
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Author | : Myron B. Allen, III |
Publisher | : John Wiley & Sons |
Total Pages | : 512 |
Release | : 2011-09-30 |
Genre | : Mathematics |
ISBN | : 1118030273 |
Written for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in "Numerical Analysis" and "Numerical Methods." It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.
Author | : Myron B. Allen, III |
Publisher | : John Wiley & Sons |
Total Pages | : 592 |
Release | : 2019-04-05 |
Genre | : Mathematics |
ISBN | : 1119245664 |
Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods. Other notable features include: A preface providing advice for instructors on using the text for a single semester course or multiple-semester sequence of courses Discussion of topics covered infrequently by other texts at this level, such as multidimensional interpolation, quasi-Newton methods in several variables, multigrid methods, preconditioned conjugate-gradient methods, finite-difference methods for partial differential equations, and an introduction to finite-element theory New topics and expanded treatment of existing topics to address developments in the field since publication of the first edition More than twice as many computational and theoretical exercises as the first edition. Numerical Analysis for Applied Science, Second Edition provides an excellent foundation for graduate and advanced undergraduate courses in numerical methods and numerical analysis. It is also an accessible introduction to the subject for students pursuing independent study in applied mathematics, engineering, and the physical and life sciences and a valuable reference for professionals in these areas.
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 | : G. Miller |
Publisher | : Cambridge University Press |
Total Pages | : 583 |
Release | : 2014-05-29 |
Genre | : Mathematics |
ISBN | : 1107021081 |
A graduate-level introduction balancing theory and application, providing full coverage of classical methods with many practical examples and demonstration programs.
Author | : Bruce Irons |
Publisher | : Ellis Horwood |
Total Pages | : 262 |
Release | : 1987 |
Genre | : Engineering mathematics |
ISBN | : |
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Publisher | : Editora E-papers |
Total Pages | : 177 |
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ISBN | : 858792222X |
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 | : David Ronald Kincaid |
Publisher | : American Mathematical Soc. |
Total Pages | : 810 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821847880 |
This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Author | : Luigi Rodino |
Publisher | : MDPI |
Total Pages | : 160 |
Release | : 2020-03-13 |
Genre | : Mathematics |
ISBN | : 3039284967 |
This book includes the seven papers that contributed to the Special Issue of Mathematics entitled “Mathematical Methods in Applied Sciences”. The papers are authored by eminent specialists and aim at presenting to a broad audience some mathematical models which appear in different aspects of modern life. New results in Computational Mathematics are given as well. Emphasis is on Medicine and Public Health, in relation also with Social Sciences. The models in this collection apply in particular to the study of brain cells during a stroke, training management efficiency for elite athletes, and optimal surgical operation scheduling. Other models concern Industry and Economy, as well as Biology and Chemistry. Numerical Methods are represented in particular by scattered data interpolation, spectral collocation, and the use of eigenvalues and eigenvectors of the Laplacian matrix. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Numerical Analysis, and will be of interest for scholars in Applied Sciences, particularly in Medicine and Public Health.
Author | : Peter Deuflhard |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0387215840 |
This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.