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Mathematical Methods of Classical Physics

  • Vicente Cortés
  • Alexander S. Haupt
Book

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Vicente Cortés, Alexander S. Haupt
    Pages 1-3
  3. Vicente Cortés, Alexander S. Haupt
    Pages 5-18
  4. Vicente Cortés, Alexander S. Haupt
    Pages 19-36
  5. Vicente Cortés, Alexander S. Haupt
    Pages 37-45
  6. Vicente Cortés, Alexander S. Haupt
    Pages 47-81
  7. Back Matter
    Pages 83-99

About this book

Introduction

This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective.

As a starting point, Newtonian mechanics is introduced and its limitations are discussed. This leads to and motivates the study of different formulations of classical mechanics, such as Lagrangian and Hamiltonian mechanics, which are the subjects of later chapters.

In the second part, a chapter on classical field theories introduces more advanced material. Numerous exercises are collected in the appendix.

Keywords

Lagrangian Mechanics Hamiltonian Mechanics Hamilton-Jacobi Theory Symplectic geometry Classical mechanics textbook

Authors and affiliations

  • Vicente Cortés
    • 1
  • Alexander S. Haupt
    • 2
  1. 1.Department of Mathematics and Center for Mathematical PhysicsUniversity of HamburgHamburgGermany
  2. 2.Department of Mathematics and Center for Mathematical PhysicsUniversity of HamburgHamburgGermany

Bibliographic information