Classical Mechanics

Hamiltonian and Lagrangian Formalism

Authors: Deriglazov, Alexei

  • With worked examples, 55 end of chapter exercises and chapter summaries
  • The equivalence of various definitions of the canonical transformation is proved explicitly, in contrast to competing books
  • Discussion of (global) symmetries and the Noether theorem in the framework of classical mechanics gives a new approach not covered by most mechanics textbooks
おすすめポイントをすべて見る

書籍の購入

イーブック ¥17,389
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-44147-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥21,737
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-44146-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥21,737
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-82995-1
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この書籍について


The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material.
New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusion of problem sets and solutions to aid in the understanding of the material presented.

The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

著者について

Prof. Dr. Alexei Anatolevich Deriglazov has studied physics at the Tomsk State University (Russia). He has more than 25 years of teaching experience at the Universities of Sao Paulo, Rio de Janeiro and Juiz de Fora (Brazil) in Mathematical Physics. His research interests are focused on Geometry and Topology, Mathematical Physics and Quantum Physics.


レビュー

“In this book, the Hamiltonian and Lagrangian formulations in the frameworks of classical and quantum mechanics are presented. Most of the theoretical results are proved. The examples are interesting. … This book can be used by undergraduate students in physics.” (Cristian Lăzureanu, zbMATH 1364.70001, 2017)


Table of contents (9 chapters)

  • Sketch of Lagrangian Formalism

    Deriglazov, Alexei

    Pages 1-90

    Preview Buy Chapter ¥3,412
  • Hamiltonian Formalism

    Deriglazov, Alexei

    Pages 91-135

    Preview Buy Chapter ¥3,412
  • Canonical Transformations of Two-Dimensional Phase Space

    Deriglazov, Alexei

    Pages 137-145

    Preview Buy Chapter ¥3,412
  • Properties of Canonical Transformations

    Deriglazov, Alexei

    Pages 147-174

    Preview Buy Chapter ¥3,412
  • Integral Invariants

    Deriglazov, Alexei

    Pages 175-187

    Preview Buy Chapter ¥3,412

書籍の購入

イーブック ¥17,389
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-44147-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥21,737
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-44146-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥21,737
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-82995-1
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
Loading...

あなたへのおすすめ

Loading...

書誌情報

Bibliographic Information
Book Title
Classical Mechanics
Book Subtitle
Hamiltonian and Lagrangian Formalism
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
イーブック ISBN
978-3-319-44147-4
DOI
10.1007/978-3-319-44147-4
ハードカバー ISBN
978-3-319-44146-7
ソフトカバー ISBN
978-3-319-82995-1
Edition Number
2
Number of Pages
XVI, 445
Number of Illustrations and Tables
53 b/w illustrations
Topics