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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 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.
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 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.
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).
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
Includes supplementary material: [...]
-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
Erscheinungsjahr: | 2011 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Undergraduate Texts in Mathematics and Technology |
Inhalt: |
xvi
216 S. |
ISBN-13: | 9781461401216 |
ISBN-10: | 1461401216 |
Sprache: | Englisch |
Herstellernummer: | 80061859 |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Skerritt, Matthew P.
Borwein, Jonathan M. |
Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. Springer Undergraduate Texts in Mathematics and Technology |
Maße: | 260 x 183 x 19 mm |
Von/Mit: | Matthew P. Skerritt (u. a.) |
Erscheinungsdatum: | 15.07.2011 |
Gewicht: | 0,642 kg |
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).
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
Includes supplementary material: [...]
-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
Erscheinungsjahr: | 2011 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Undergraduate Texts in Mathematics and Technology |
Inhalt: |
xvi
216 S. |
ISBN-13: | 9781461401216 |
ISBN-10: | 1461401216 |
Sprache: | Englisch |
Herstellernummer: | 80061859 |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Skerritt, Matthew P.
Borwein, Jonathan M. |
Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. Springer Undergraduate Texts in Mathematics and Technology |
Maße: | 260 x 183 x 19 mm |
Von/Mit: | Matthew P. Skerritt (u. a.) |
Erscheinungsdatum: | 15.07.2011 |
Gewicht: | 0,642 kg |