For undergraduate Introduction to Numerical Analysis course in mathematics, science, and engineering departments. This book provides a fundamental introduction to numerical analysis for undergraduate students in the areas of mathematics, computer science, physical sciences, and engineering. Knowledge of calculus is assumed. - NEW - Expanded emphasis on analysis of competing methods and issues of error - Helps students understand that one can't rely blindly on a given numerical package. - NEW - Rewritten chapter on numerical optimization - Provides a presentation that flows more smoothly. - NEW - New topics for minimization of y=f(x) are included - Gives students a more thorough treatment that is useful here. - NEW - New topics for minimization of z=f(x,y) are included. - NEW - Projects for undergraduate library research experience have been added - Provides students with opportunities for further study. - Explicit use of the software MATLAB is offered - Builds on students' knowledge of structured programming and provides the opportunity to practice scientific programming. - Each numerical method is presented in a self-contained format - Clearly explains numerical methods to students. - Balance of theory and application - Builds on students' knowledge of calculus and basic linear algebra in a clear and readable presentation. - A variety of problems - Sharpens students skills with extensive problem sets with a wide variety of activities. - A wealth of tables and graphs - Illustrates computer calculations in examples making the resulting numerical approximations easier to interpret.
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