Learning and teaching mathematics using simulations: plus 2000 examples from physics

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This is a unique, comprehensive and documented collection of simulations in mathematics and physics: More than 2000 simulations, offered on our webpage for comfortable use online. The book, written by an experienced teacher and practitioner, contains a complete introduction to mathematics and the documentation to the simulations. This is a great way to learn mathematics and physics. Suitable for courses in Mathematics for Engineering and Sciences.

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Title Statements

Full title :Learning and teaching mathematics using simulations : plus 2000 examples from physics / Dieter Röss.

Summary

Edition Statements

Publication Date:©2011.

Publication Statements

Publisher(s):De Gruyter
Place of Publication:Berlin
Language:eng
Publication Date:©2011.

The Physical Object

Description:1 online resource (238 pages)

Edition Identifiers

ISBN:9783110250077, 3110250071, 128339992X, 9781283399920
oclc:ocn775864413
LC Classification:QA20.C65
Dewey Decimal:510.71

Introduction; Goal and structure of the digital book; Directories; Usage and technical conventions; Example of a simulation: The Möbius band; Physics and mathematics; Mathematics as the ``Language of physics''; Physics and calculus; Numbers; Natural numbers; Whole numbers; Rational numbers; Irrational numbers; Algebraic numbers; Transcendental numbers; and the quadrature of the circle, according to Archimedes; Real numbers; Complex numbers; Representation as a pair of real numbers; Normal representation with the ``imaginary unit i''; Complex plane; Representation in polar coordinates.

Simulation of complex addition and subtractionSimulation of complex multiplication and division; Extension of arithmetic; Sequences of numbers and series; Sequences and series; Sequence and series of the natural numbers; Geometric series; Limits; Fibonacci sequence; Complex sequences and series; Complex geometric sequence and series; Complex exponential sequence and exponential series; Influence of limited accuracy of measurements and nonlinearity; Numbers in mathematics and physics; Real sequence with nonlinear creation law: Logistic sequence.

Complex sequence with nonlinear creation law: Fractals…

Subjects

mathematics MATHEMATICS -- Study & Teaching Mathematics -- Study and teaching Mathematics -- Textbooks Mathématiques -- Étude et enseignement physics Physics -- Study and teaching Physics -- Textbooks Physique -- Étude et enseignement Textbooks