Numerical Mathematics: A Laboratory Approach

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9780521440400: Numerical Mathematics: A Laboratory Approach

Numerical Mathematics is a unique book that presents rudimentary numerical mathematics in conjunction with computational laboratory assignments. No previous knowledge of calculus or linear algebra is presupposed, and thus the book is tailor-made for undergraduate students, as well as prospective mathematics teachers. The material in the book emphasizes algorithmic aspects of mathematics, which are made viable through numerical assignments, in which the traditional "chalk-and-talk" lecturer turns, in part, into a laboratory instructor. It guides the student to create the algorithm required for any given assignment expressed in whichever programming language is used on the basis of the underlying mathematics. The computational assignments cover iterative processes, area approximations, solution of linear systems, acceleration of series summation, interpolative approximations, and construction of computer-library functions. Throughout the book, strong emphasis is put upon vital concepts such as error bounds, precision control, numerical efficiency, computational complexity, as well as round off errors and numerical stability. The book is not a numerical methods book, containing ready-made computational recipes, but it is the authors' belief that the material presented in this book is part and parcel of the mathematical foundations that should be acquired by a student in the microcomputer era.

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Book Description:

Numerical Mathematics is a unique book that introduces computational microcomputer laboratories as a vehicle for teaching algorithmic aspects of mathematics. This is achieved through a sequence of laboratory assignments, presupposing no previous knowledge of calculus or linear algebra, where the "chalk- and-talk" lecturer turns into a laboratory istructor. The computational assignments cover iterative processes, area approximations, linear systems, convergence acceleration, interpolative approximations, and construction of computer-library functions. The material is part and parcel of the mathematical foundations that should be acquired by a college student in the microcomputer era.

Review:

"For someone wishing to learn the numerical approach to mathematics, this can be a book of genuine value. Recommended for undergraduates at all levels." S. Puckette, Choice

"...a unique book that presents rudimentary numerical mathematics in conjunction with computational laboratory assignments."

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