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

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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.

Author(s): Anders Malthe-Sørenssen (auth.)
Series: Undergraduate Lecture Notes in Physics
Edition: 1
Publisher: Springer International Publishing
Year: 2015

Language: English
Pages: 590
Tags: Mathematical Methods in Physics; Mechanics; Numerical and Computational Physics

Front Matter....Pages i-xiii
Introduction....Pages 1-7
Getting Started with Programming....Pages 9-29
Units and Measurement....Pages 31-41
Motion in One Dimension....Pages 43-81
Forces in One Dimension....Pages 83-137
Motion in Two and Three Dimensions....Pages 139-181
Forces in Two and Three Dimensions....Pages 183-213
Constrained Motion....Pages 215-228
Forces and Constrained Motion....Pages 229-267
Work....Pages 269-302
Energy....Pages 303-350
Momentum, Impulse, and Collisions....Pages 351-399
Multiparticle Systems....Pages 401-436
Rotational Motion....Pages 437-456
Rotation of Rigid Bodies....Pages 457-488
Dynamics of Rigid Bodies....Pages 489-553
Back Matter....Pages 555-590