Elementary Mechanics Using Matlab: A Modern Course Combining Analytical and Numerical Techniques

Voorkant
Springer, 1 jun. 2015 - 590 pagina's

This book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks.

Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts.

While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available.

Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.

 

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Inhoudsopgave

1 Introduction
1
2 Getting Started with Programming
9
3 Units and Measurement
30
4 Motion in One Dimension
43
5 Forces in One Dimension
82
6 Motion in Two and Three Dimensions
139
7 Forces in Two and Three Dimensions
182
8 Constrained Motion
215
11 Energy
303
12 Momentum Impulse and Collisions
351
13 Multiparticle Systems
401
14 Rotational Motion
437
15 Rotation of Rigid Bodies
457
16 Dynamics of Rigid Bodies
489
Appendix AProofs
554
Appendix BSolutions
571

9 Forces and Constrained Motion
229
10 Work
268

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Over de auteur (2015)

Professor Anders Malthe-Sørenssen is a professor of physics at the University of Oslo, where his research interests are focused on the physics of geological processes. His current teaching activity focuses on revitalizing the teaching of undergraduate science courses by seamless integration of computational methods in order to give students an early contact with research and industrially relevant problems.

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