Lecture Notes on Newtonian Mechanics

1. Front Matter

   Pages i-ix

   PDF

2. Introduction

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 1-4

3. Kinematics

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 5-37

4. Newton’s Laws

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 39-79

5. Conservation of Momentum

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 81-96

6. Work of a Force and Conservative Forces

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 97-110

7. Conservation of Energy

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 111-131

8. Movement in a Potential Field: Oscillations

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 133-162

9. Dynamics of Rotational Movements

   • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

   Pages 163-190

10. Central Forces and Kepler’s Laws

    • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

    Pages 191-207

11. Basic Notions of Hydrodynamics

    • Ilya L. Shapiro, Guilherme de Berredo-Peixoto

    Pages 209-225

12. Back Matter

    Pages 227-250

    PDF

One could make the claim that all branches of physics are basically generalizations of classical mechanics. It is also often the first course which is taught to physics students. The approach of this book is to construct an intermediate discipline between general courses of physics and analytical mechanics, using more sophisticated mathematical tools.

The aim of this book is to prepare a self-consistent and compact text that is very useful for teachers as well as for independent study.

• Analytical Mechanics
• Central Forces
• Classical Mechanics Textbook
• Energy Conservation
• Equivalence Principle of General Relativity
• Kepler's Laws Explained
• Linear Momentum Explained
• Modern Physics
• Newton's Laws
• Particle Kinematics

From the reviews:

“The textbook is an introductory course into classical mechanics. … The aim is to define the key notions of Newtonian mechanics and to show how to solve problems of standard difficulty and sometimes a bit more difficult ones. The book has ten chapters and an appendix. … The book is self-consistent and can be recommended to teachers and for independent study of classical mechanics.” (Irina Alexandrovna Bolgrabskaya, zbMATH, Vol. 1284, 2014)

• Departamento de Fisica - ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil

  Ilya L. Shapiro

• Departamento de Fisica - ICE, Universidade Federal de juiz de Fora, Juiz de Fora, Brazil

  Guilherme de Berredo-Peixoto

Dr. Ilya L. Shapiro is originally from the city of Pavolar, Kazakhstan. He received his Ph.D. in physical and mathematical sciences of the USSR at Tomsk State University. After obtaining his Ph.D., he worked for several years at the Department of Real Analysis at the Tomsk State Pedagogical University, which has a very strong and world-renowned research group in theoretical physics. In 1994, he became a visiting researcher at the University of Zaragoza in Spain, and he is currently a physics professor at the Federal University of Juiz de Fora in Brazil, where he has worked since 1996. To date he still maintains his position (on leave) at Tomsk State Pedagogical University. Dr. Shapiro is the author of more than 100 papers on quantum gravity, cosmology and quantum field theory in curved spaces. He is the author of ‘Effective Action in Quantum Gravity’ (IOP Publishing, 1992), one of the most cited works in the fields of quantum gravity and quantum field theory in curved space.

Dr. Guilherme de Berredo-Peixoto is originally from Rio de Janiero, Brazil, and obtained his Ph.D. in physics from the Brazilian Center for Physics Research at the Federal University of Rio de Janiero in 2001. He worked as a post-doctorate fellow at the University of Alberta, Canada, and then as a professor at the State University of Santa Catarina in Lages, Brazil. He is currently an adjunct physics professor at the Federal University of Juiz de Fora in Brazil, where he advises several students and has authored and co-authored about 25 scientific articles.

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