Overview

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 and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar 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 to explain 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.

Full Product Details

Author:   Jonathan M. Borwein ,  Matthew P. Skerritt
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2012 ed.
Dimensions:   Width: 17.80cm , Height: 2.00cm , Length: 25.40cm
Weight:   0.652kg
ISBN:  

9781461442523

ISBN 10:   1461442524
Pages:   224
Publication Date:   04 August 2012
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Conventions and Notation.- 1. Number Theory.- 2. Calculus.- 3. Linear Algebra.- 4. Visualisation and Geometry: a Postscript.- Sample Quizzes.- Index.- References.-

Reviews

From the reviews: There are two general approaches to computation: using computation as a numerical tool to approximate answers or using a computer algebra system to provide exact mathematical answers by symbolic manipulation. This book explores the second of these approaches, using the computer algebra system Mathematica. ... Though this work does teach students how to use Mathematica, it does so with the goal of providing new insights into basic mathematics, which can then be applied to more advanced mathematics. ... Summing Up: Recommended. Lower- and upper-division undergraduates. (D. Z. Spicer, Choice, Vol. 50 (7), March, 2013)

From the reviews: There are two general approaches to computation: using computation as a numerical tool to approximate answers or using a computer algebra system to provide exact mathematical answers by symbolic manipulation. This book explores the second of these approaches, using the computer algebra system Mathematica. ... Though this work does teach students how to use Mathematica, it does so with the goal of providing new insights into basic mathematics, which can then be applied to more advanced mathematics. ... Summing Up: Recommended. Lower- and upper-division undergraduates. (D. Z. Spicer, Choice, Vol. 50 (7), March, 2013) Three main chapters form the core of the book. In the first chapter, the authors talk about using a computer algebra system like Mathematica for problems in number theory ... . Chapters 2 and 3 are devoted to calculus and linear algebra, respectively. ... The mathematical content of the chapters is ... elementary and written in a style easily understandable by nonspecialists. ... a very good introduction for beginners to this interesting and important topic. (Kai Diethelm, ACM Computing Reviews, March, 2013)

Author Information

Jonathan M. Borwein is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW) with adjunct appointments at Dalhousie and at Simon Fraser. He received his Doctorate from Oxford in 1974, and has published extensively in optimization, analysis and computational mathematics, and has received various prizes both for research and for exposition. He directs the University of Newcastle’s Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).

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