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An Introduction to Modern Mathematical Computing
With Maple¿
Buch von Matthew P. Skerritt (u. a.)
Sprache: Englisch

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Beschreibung
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 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.
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 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.
Über den Autor

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).

Zusammenfassung

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: [...]

Inhaltsverzeichnis

-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

Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 232
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.
Auflage: 2011
Hersteller: 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
preigu-id: 106962358
Über den Autor

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).

Zusammenfassung

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: [...]

Inhaltsverzeichnis

-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

Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 232
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.
Auflage: 2011
Hersteller: 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
preigu-id: 106962358
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