Screen LibraryLearning and teaching mathematics using simulations : plus 2000 examples from physics /
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 Facili...
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin ;Boston : |
| Publication Dates: |
[2011] ©2011 |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter textbook
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110250077 http://www.degruyter.com/doc/cover/9783110250077.jpg |
| Summary: |
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. Pro |
| Carrier Form: | 1 online resource (255pages). |
| ISBN: | 9783110250077 |
| Index Number: | QA20 |
| CLC: | O1-4 |
| Contents: |
Frontmatter -- Preface -- Contents -- Guide to simulation technique -- 1 Introduction -- 2 Physics and mathematics -- 3 Numbers -- 4 Sequences of numbers and series -- 5 Functions and their infinitesimal properties -- 6 Visualization of functions in the space of real numbers -- 7 Visualization of functions in the space of complex numbers -- 8 Vectors -- 9 Ordinary differential equations -- 10 Partial differential equations -- 11 Appendix. Collection of physics simulations -- 12 Conclusion |