Numerical mathematics : a laboratory approach [EBook] / Shlomo Breuer and Gideon Zwas.
Numerical mathematics : a laboratory approach [EBook] / Shlomo Breuer and Gideon Zwas.
Numerical Mathematics is a unique textbook which 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 tailormade for undergraduate students, as well as prospectiv...
Personal Name(s):  Breuer, Shlomo, (author) 

Zwas, Gideon, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1993

Physical Description: 
1 online resource (xiii, 267 pages) 
Note: 
englisch 
ISBN: 
9780521440400 9781139174060 9780521445955 
Subject (LOC):  
Full Text 
Numerical Mathematics is a unique textbook which 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 tailormade for undergraduate students, as well as prospective mathematics teachers. The material in the book emphasises algorithmic aspects of mathematics, which are made viable through numerical assignments, in which the traditional 'chalkandtalk' lecturer turns, in part, into a laboratory instructor. The book is not a numerical methods book, containing readymade computational recipes. Rather, 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 computerlibrary functions. Throughout the book, strong emphasis is being put upon vital concepts such as error bounds, precision control, numerical efficiency, computational complexity, as well as round off errors and numerical stability. 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. 