A Friendly Introduction to Numerical Analysis. Front Cover. Brian Bradie. Pearson Education, – Numerical analysis – pages. This reader-friendly introduction to the fundamental concepts and techniques of numerical analysis/numerical methods develops concepts and techniques in a. For one or two-semester undergraduate/graduate-level courses in Numerical Analysis/Methods in mathematics departments, CS departments, and all.
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You have requested access to a digital product. This student-friendly text develops concepts and techniques in a clear, concise, easy-to-read manner, followed by fully-worked examples.
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Application problems drawn from the literature of aanlysis different fields prepares students to use the techniques covered to solve a wide variety of practical problems. Source and decay terms, polar coordinates and problems in two space dimensions for parabolic partial differential equations. Prepares students for the practical application of numerical methods; offers instructors flexibility in coverage—they can touch as lightly or as in depth as desired and design courses around students’ interests.
Helps students grasp the sequence of calculations associated with a particular method and gain better insight into algorithm operation.
A friendly introduction to numerical analysis in SearchWorks catalog
Shows students how numerical methods can be applied within the context of real-world problems, and motivates their study of the various numerical techniques. Gives instructors the opportunity to discuss practical implementation issues. Places the material into perspective for students and motivates the reader with the bruan applicability of numerical methods to real-world problems.
Provides students with the opportunity to practice with paper, pencil and calculator the sequence of calculations associated with a particular method. Method of False Position. The Secant Method and Muller’s Method. Iterative Techniques nunerical Linear Systems: Basic Concepts and Methods. The Inverse Power Method. Reduction to Tridiagonal Form. Eigenvalues of Tridiagonal and Hessenberg Matrices. Lagrange Form of the Interpolating Polynomial.
Hermite and Hermite Cubic Interpolation. Continuous Theory and Key Numerical Concepts. Systems of Equations and Higher-Order Equations. Absolute Stability and Stiff Equations. Finite Difference Method, Part I: The Shooting Method, Part I: Linear Boundary Value Problems. Nonlinear Boundary Value Problems. Solving the Discrete Equations: More General Parabolic Equations. Problems in Two Space Dimensions.
Important Theorems from Calculus. 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.
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: For these reasons, it will certainly 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. 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. Help downloading instructor resources.
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About This Product Resources Packages. The handling of artificial singularities for one-dimensional boundary value problems. The multigrid method and irregular domains for elliptic partial differential equations. One-dimensional hyperbolic partial differential equations. Numerical dispersion and diffusion and the convection-diffusion equation.
More than fully-worked examples —The examples are each tied carefully to some new concepts. 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. Chapters organized thematically around mathematical problems —Each chapter is devoted to a single type of problem. Within each chapter, the presentation begins with the simplest, most basic methods and progresses gradually to more advanced topics.
Helps students find parallels and better comprehend the topics.
Friendly Introduction to Numerical Analysis, A
Chapter Overviews —Presents several real-world problems relating to the specific mathematical problem that will be treated in the chapter. Exercise Sets —Features roughly numbered exercises many with multiple parts. An appropriate balance of theoretical, applications, and coding questions. Gives students extensive practice in using numerical methods.
Gives instructors a reference guide. Absence of pseudocode —The author believes that with pseudocode provided, students feel like they don’t need to really understand the techniques; they just have to be able to convert the pseudocode into whatever the language of choice happens to be.
Requires students to program the techniques themselves. Each chapter begins with An Overview.