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Lectures in Classical Mechanics

With Solved Problems and Exercises

  • Victor Ilisie
Textbook
  • 9.6k Downloads

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Victor Ilisie
    Pages 1-15
  3. Victor Ilisie
    Pages 17-35
  4. Victor Ilisie
    Pages 37-45
  5. Victor Ilisie
    Pages 85-107
  6. Victor Ilisie
    Pages 135-156
  7. Victor Ilisie
    Pages 185-207
  8. Victor Ilisie
    Pages 209-239
  9. Victor Ilisie
    Pages 241-274
  10. Victor Ilisie
    Pages 275-291
  11. Back Matter
    Pages 319-359

About this book

Introduction

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.

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

Authors and affiliations

  • Victor Ilisie
    • 1
  1. 1.Detectors for Molecular ImagingInstituto de Instrumentacion para Imagen MolecularValenciaSpain

Bibliographic information