A Friendly Introduction to Numerical Methods - Brossura

Bradie, Brian

Brossura

ISBN 10: 0130130540 ISBN 13: 9780130130549

Casa editrice: Pearson College Div, 2005

Riassunto

This reader-friendly introduction to the fundamental concepts and techniques of numerical analysis/numerical methods develops concepts and techniques in a clear, concise, easy-to- read manner, followed by fully-worked examples. Application problems drawn from the literature of many different fields prepares readers to use the techniques covered to solve a wide variety of practical problems. KEY TOPICS: Rootfinding. Systems of Equations. Eigenvalues and Eigenvectors. Interpolation and Curve Fitting. Numerical Differentiation and Integration. Numerical Methods for Initial Value Problems of Ordinary Differential Equations. Second-Order One-Dimensional Two-Point Boundary Value Problems. Finite Difference Method for Elliptic Partial Differential Equations. Finite Difference Method for Parabolic Partial Differential Equations. Finite Difference Method for Hyperbolic Partial Differential Equations and the Convection-Diffusion Equation. MARKET: For anyone interested in numerical analysis/methods and their applications in many fields

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Recensione

"I am extremely impressed with Bradie's book. His passion for explaining things as clearly and understandably as possible, his thorough research of the literature for bringing relevant and pedagogically sound examples from outside mathematics, and his crisp and clear style will certainly make this text an instant success. This is one of the better texts in Numerical Analysis that I have ever seen, and I congratulate the author for producing such a gem." ― Alejandro Engel, Rochester Institute of Technology

"The chapters in this book are of uniformly high standards. Chapter 1 in particular is a gem. The treatments of floating point number systems and of floating point arithmetic are especially good. These are topics that are often glossed over in other books, and which are often difficult for students to grasp. The book is extremely well written: the style is clear, the prose flows smoothly, the pace is unhurried, the tone is friendly and conversational, the examples and exercises are interesting and-relevant, and the amount of detail is far greater than in any textbook of its kind that I have ever seen. For these reasons, it will certainly appeal to my students." ― Richard Zalik, Auburn University

"I think the tone will appeal to my students: It is relaxed and friendly without being wordy and effusive. The style is a very readable compromise between proof and technical detail on the one hand, and concepts with applications on the other. I think he addresses this fundamental challenge in a way that my students would like. Bradie has decided to include lots of worked examples accompanied by plots. The plots facilitate the inclusion of such a large number of examples, by succinctly communicating the point of each. This reduces the effort needed to understand the ideas behind the example, (I think students simply will not read the book if it takes too much effort. Bradie can include more exercises than is typical because the illustrations ease the communication.)" ― Mark Arnold, University of Arkansas

"I like the way Bradie presents the materials in each chapter. He gives a mathematics review on what is needed at the beginning of each chapter. After refreshing students' memories, he begins with the simplest, most basic methods and then progresses gradually to more advanced topics. The book is well written and student-friendly. It provides a lot of examples and exercise problems. The book is written in the way that is easy for students to read. For instance, for each method, there is at least one fully worked example that helps students to understand the concept and the method." ― Kuiyuan Li, University of West Florida

Product Description

For one or two term undergraduate/graduate-level courses in Numerical Methods in mathematics departments (for numerical analysis courses), CS departments and engineering departments. This student-friendly introduction to the fundamental concepts and techniques of numerical analysis/numerical methods develops concepts and techniques in a clear, concise, easy-to-read manner, followed by fully-worked examples. Application problems drawn from the literature of many different fields prepares students to use the techniques covered to solve a wide variety of practical problems. *Unique topical coverage - Provides extensive coverage of material not typically covered, or only briefly discussed, in other texts - e.g., eigenvalue problem for nonsymmetric matrices; improper integrals (removable singularities, derivative singularities, logarithmic singularities and infinite limits of integration); non-Dirichlet boundary conditions, the handling of artificial singularities and eigenvalue problems for one-dimensional boundary value problems; non-Dirichlet boundary conditions, the multigrid method and irregular domains for elliptic partial differential equations; (source and decay terms, non-Dirichlet boundary conditions, polar coordinates and problems in two space dimensions for parabolic partial differential equations; one-dimensional hyperbolic partial differential equations, numerical dispersion and diffusion); the convection-diffusion equation. *More than 200 fully-worked examples - The examples are set in a different type face and are printed with wider margins to highlight the separation between theory (the development of methods) and practice (worked examples). *An extensive set of application problems - Used both as worked examples and exercises. Problems are drawn from the literature of many different fields (physics, biology, chemistry, chemical engineering, thermodynamics, heat transfer, electrostatics, ecology, manufacturing, sociology, etc.). *Emphasis on the key con

Dettagli dell?edizione

• Editore: Pearson College Div
• Data di pubblicazione: 2005
• ISBN 10: 0130130540
• ISBN 13: 9780130130549
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero edizione: 1
• Numero di pagine: 933
• Contatto del produttore: non disponibile