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Lectures in Classical Mechanics

With Solved Problems and Exercises

  • Textbook
  • © 2020

Overview

Authors:
  1. Victor Ilisie

    1. Detectors for Molecular Imaging, Instituto de Instrumentacion para Imagen Molecular, Valencia, Spain

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  • 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)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Vector Analysis in Cartesian Coordinates

    • Victor Ilisie
    Pages 1-15

  3. Vector Analysis in Curvilinear Coordinates

    • Victor Ilisie
    Pages 17-35

  4. Kinematics

    • Victor Ilisie
    Pages 37-45

  5. Newton’s Laws, Dynamics and Galilean Relativity

    • Victor Ilisie
    Pages 47-83

  6. Systems of Particles and Variable Mass

    • Victor Ilisie
    Pages 85-107

  7. One-Dimensional Potentials and Two-Dimensional Central Potentials

    • Victor Ilisie
    Pages 109-134

  8. Non Relativistic Collisions

    • Victor Ilisie
    Pages 135-156

  9. Continuous Mass Distributions. Gravitational Potential and Field

    • Victor Ilisie
    Pages 157-183

  10. Non-inertial Reference Systems

    • Victor Ilisie
    Pages 185-207

  11. Rigid Body Dynamics

    • Victor Ilisie
    Pages 209-239

  12. Special Theory of Relativity

    • Victor Ilisie
    Pages 241-274

  13. Relativistic Collisions and Decays

    • Victor Ilisie
    Pages 275-291

  14. Non-relativistic Lagrangian and Hamiltonian Mechanics

    • Victor Ilisie
    Pages 293-317

  15. Back Matter

    Pages 319-359
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Keywords

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

  • Detectors for Molecular Imaging, Instituto de Instrumentacion para Imagen Molecular, Valencia, Spain

    Victor Ilisie

About the author

Victor Ilisie, B.S., M.S., Ph.D., is a postdoctoral researcher at the Institute for Instrumentation in Molecular Imaging, Spanish National Research Council (CSIC) and associate professor at the University of Valencia (Spain). During his Ph.D., Dr. Ilisie’s research focused on the study of high-energy physics phenomena related to the Large Hadron Collider (Geneva) and Higgs physics. Since then, his research activities have contributed to various fields in particle physics and medical physics, and he has also authored a book on quantum field theory. His skills and experience have been highly useful in developing projects related to PET, SPECT, and image reconstruction. Most of his postdoctoral research has focused on the study of high-resolution and high-sensitivity PET that incorporates the Compton effect, in a project financed by the European Research Council under the European Union’s Horizon 2020 research and innovation program. He is also coordinating the development of a SPECTproject in a collaboration between Bruker Corporation and the Institute for Instrumentation in Molecular Imaging, and is involved in a project on the design and development of a novel multi-pinhole high-sensitivity SPECT device.

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

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