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portada Numerical Mathematics: A Laboratory Approach
Type
Physical Book
Author
Publisher
Year
1993
Language
English
Pages
284
Format
Hardcover
Dimensions
22.9x15.2x1.9 cm
Weight
0.59 kg.
ISBN
0521440408
ISBN13
9780521440400
Edition No.
1
Categories

Numerical Mathematics: A Laboratory Approach

S. Breuer (Author) · G. Zwas (Author) · Cambridge University Press · Hardcover

Numerical Mathematics: A Laboratory Approach - Breuer, S. ; Zwas, G.

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Synopsis "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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