Experiments In Mathematics Using Maple

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Sprache: Englisch

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Beschreibung

We believe that to understand and be comfortable with mathematical con cepts and methods, it is necessary to do mathematics and, traditionally, doing meant with a pencil and paper. Now, a modest home computer can provide a platform for a computer algebra package like Maple, which can perform all of the operations encountered in secondary school mathematics and beyond, and pro vide graphical representations of functions, including animations. The capability of rendering accurate graphics for mathematical functions greatly enhances the learning experience, and helps intuition work in new situations, before beginning to do the algebra and calculus needed to solve a problem. For example, if you can see that a function has a clear minimum from its graph, then you are more likely to be able to identify its location precisely by analysis. This book is designed to support the interactive Maple worksheets that we have developed for the two senior secondary school years and made available via the Internet at the anonymous ftp site ftp. ut irc. utoronto . ca (/pub/ednet/maths/maple). This takes you from basic algebra, functions and sequences, to calculus and its applications. Thus, the book is a hardcopy version of the worksheets, with additional explanatory text, cross-referencing, appen dices containing worked solutions to all exercises, and indexing.

Inhaltsverzeichnis

I Pre-Calculus Mathematics.- 1 Introduction to Maple.- 2 Functions.- 3 Quadratic Functions.- 4 Solving Quadratic Equations.- 5 Polynomial Functions.- 6 Exponential Functions.- 7 Logarithmic Functions.- 8 Circular Functions.- 9 Trigonometry.- 10 Similar Figures.- 11 Circles and Spheres.- 12 Loci.- 13 Sequences and Series.- 14 Statistics and Probability.- II Beginning Calculus.- 15 Secants and Tangents.- 16 Sequences and Limits.- 17 Derivatives of Functions.- 18 Functions and Graphs.- 19 Rates.- 20 Integration.- 21 Trigonometry.- 22 Exponents and Logarithms.- 23 Polar Coordinates.- Appendices.- A Solutions to Part I Exercises.- A.1 Functions.- A.2 Quadratics.- A.3 Solving Quadratics.- A.4 Polynomials.- A.5 Exponential Functions.- A.6 Logarithmic Functions.- A.8 Trigonometry.- A.9 Similar Figures.- A.10 Circles and Spheres.- A.11 Loci.- A.12 Sequences and Series.- A.13 Statistics and Probability.- B Solutions to Part II Exercises.- B.1 Secants and Tangents.- B.2 Sequences and Limits.- B.3 Derivatives of Functions.- B.4 Functions and Graphs.- B.5 Rates.- B.6 Integration.- B.7 Trigonometry.- B.8 Exponents and Logarithms.- B.9 Polar Coordinates.- C.1 angles.- C.2 showAntiderivative.

Erscheinungsjahr:	1995
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xix 465 S. 5 s/w Illustr. 465 p. 5 illus.
ISBN-13:	9783540592846
ISBN-10:	3540592849
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Gonzalez, Elizabeth A. Dodson, Christopher T. J.
Auflage:	Softcover reprint of the original 1st edition 1995
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 27 mm
Von/Mit:	Elizabeth A. Gonzalez (u. a.)
Erscheinungsdatum:	08.11.1995
Gewicht:	0,744 kg