Learning and Teaching Mathematics using Simulations

Idioma: inglés

Editorial: De Gruyter, DE, 2011

3110250055 / 9783110250053

Librería: Rarewaves USA United, HEBRON, KY, Estados Unidos de AmericaRarewaves USA United

Vendedor de 5 estrellas

Vendedor de IberLibro desde 20 de junio de 2025

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Descripción del artículo del vendedor

Mathematics course with 60 Java-based interactive mathematic simulations by the author Comprehensive and systematically organized collection of 2,000 Java-based physics simulations All simulations are runnable, and can be accessed both on- and offline Visualization of mathematic relationships Facilitates an experiment-based understanding of problems, including suggestions for your own mathematical experiments Calculation procedures can be adjusted in a variety of ways Introduction to simulation techniques with the EJS (Easy Java Simulation) tool Visual interface for simple and transparent modeling and programming Building block library for programming one's own simulations Quick access to simulations from links embedded in the digital text Mathematics is the language of physics and technology. Yet in the age of computers, mathematic skill is not based on mastery of arithmetic. Rather, it depends on understanding relationships in time and space, and expressing them with precise and clear formulas. In this regard, one cannot rely on the rote memorization of rules and formulas - insight and intuitive understanding are crucial. But how can this understanding be achieved in higher mathematics, which depends on abstract concepts such as complex numbers, real and complex infinite series, infinitesimal calculus, 2, 3, and 4 dimensional functions, conformal maps, vectors, and linear and nonlinear ordinary and partial differential equations? The author takes a highly practical approach to facilitating the insight essential for true learning in mathematics. Students can work directly with the simulation programs, can visualize relationships, and creatively interact with the calculation procedures. Proceeding in textbook fashion, the work makes use of a broad palette of multimedia tools, and features numerous interactive calculation programs for mathematical experimentation. Students merely have to select one of the many predefined examples and set the relevant parameters - and in a flash the results are graphically displayed in 2 or 3 dimensions. In addition, the specific functions used can be changed or even newly formulated according to user preferences. For example, a procedure developed for a fourth degree power function for the numerical calculation of zero points can be adapted for use with another function. Each simulation is accompanied by a detailed description, instructions for use, and numerous suggestions for experimentation. The mathematical simulations are based on the Easy Java Simulation (EJS) programming tool. All of the files developed with EJS are completely open and transparent. The user can even draw on the examples as building blocks for the development his or her own calculation procedures. The appendix contains a short introduction to EJS. The work is enriched by a comprehensive collection of cosmological simulations as well as models from the Open Source Physics project, organized by subject area. Intended as a systematic collection.…

N° de ref. del artículo LU-9783110250053

Título
Learning and Teaching Mathematics using Simulations
Autor
Dieter Röss
Editorial
De Gruyter, DE
Año de publicación
2011
Estado
New
Encuadernación
Hardback
Idioma
inglés
ISBN 10
3110250055
ISBN 13
9783110250053
Peso del artículo
449 gramos

Rarewaves USA United

HEBRON, KY, Estados Unidos de America

Vendedor de 5 estrellas

Vendedor de IberLibro desde 20 de junio de 2025

Tarifas de envío en Estados Unidos de America

ArtículoDe 30 a 30 días hábilesDe 14 a 14 días hábiles
Primer artículoEUR 44,94EUR 60,22
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Rarewaves USA

10100 West Sample Road, Ste 101
Coral Springs, FL Estados Unidos de America 33065