An introduction to modern mathematical computing: with Maple

Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics andthe consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Maple and other like tools are worth knowing assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope toexplain how to become an 'experimental mathematician' while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation. Places primary importance on the mathematics, rather than being a 'how to'manual for making computations. Integrates numerous worked examples and introduces all key programming constructions. Includes exercises, sample tests, and a careful selection of 'explorations' suitable for either independent studies or for term projects. INDICE: -Preface. -Conventions and Notation.-1. Number Theory (Introduction to Maple, Putting it together, Enough code, already. Show me some maths!, Problems and Exercises, Further Explorations). -2. Calculus(Revision and Introduction, Univariate Calculus, Multivariate Calculus, Exercises, Further Explorations). -3. Linear Algebra (Introduction and Review, Vector Spaces, Linear Transformations, Exercises, Further Explorations). -4. Visualisation and Geometry:a postscript (Useful Visualisation Tools, Geometry and Geometric Constructions). –A. Sample Quizzes (Number Theory, Calculus, Linear Algebra). –Index. –References.

• ISBN: 978-1-4614-0121-6
• Editorial: Springer New York
• Encuadernacion: Cartoné
• Páginas: 216
• Fecha Publicación: 28/08/2011
• Nº Volúmenes: 1
• Idioma: Inglés