Overview
- Helps readers learn new concepts through illustrative exercises
- Covers all key concepts, including often-neglected ones
- Is exceptionally well organized to facilitate learning
Part of the book series: Undergraduate Lecture Notes in Physics (ULNP)
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Table of contents (13 chapters)
Keywords
- Undergraduate textbook of classical mechanics
- Solved exercises/problems in classical mechanics
- Variable mass
- Non-inertial reference frames
- Introduction to special relativity
- Introduction to tensors
- Lagrangian and Hamiltonian mechanics
- Relativistic and non-relativistic collisions
- Solid rigid mechanics
- Curvilinear coordinates
About this book
This exceptionally well-organized book uses solved problems and exercises to help readers understand the underlying concepts of classical mechanics; accordingly, many of the exercises included are of a conceptual rather than practical nature. A minimum of necessary background theory is presented, before readers are asked to solve the theoretical exercises. In this way, readers are effectively invited to discover concepts on their own. While more practical exercises are also included, they are always designed to introduce readers to something conceptually new.
Special emphasis is placed on important but often-neglected concepts such as symmetries and invariance, especially when introducing vector analysis in Cartesian and curvilinear coordinates. More difficult concepts, including non-inertial reference frames, rigid body motion, variable mass systems, basic tensorial algebra, and calculus, are covered in detail. The equations of motion in non-inertial reference systems are derived in two independent ways, and alternative deductions of the equations of motion for variable mass problems are presented. Lagrangian and Hamiltonian formulations of mechanics are studied for non-relativistic cases, and further concepts such as inertial reference frames and the equivalence principle are introduced and elaborated on.Authors and Affiliations
About the author
Bibliographic Information
Book Title: Lectures in Classical Mechanics
Book Subtitle: With Solved Problems and Exercises
Authors: Victor Ilisie
Series Title: Undergraduate Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-030-38585-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-38584-2Published: 06 February 2020
eBook ISBN: 978-3-030-38585-9Published: 05 February 2020
Series ISSN: 2192-4791
Series E-ISSN: 2192-4805
Edition Number: 1
Number of Pages: XIV, 359
Number of Illustrations: 109 b/w illustrations
Topics: Classical Mechanics, Theoretical and Applied Mechanics