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Analytical Mechanics

A Concise Textbook

  • Textbook
  • Jul 2024

Overview

  • A definitive reference book for this topic
  • Explores cutting-edge topics not covered by conventional textbooks
  • Exemplifies mathematical elegance at its finest

Part of the book series: UNITEXT for Physics (UNITEXTPH)

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Keywords

  • Analythical Mechanics Textbook
  • Lagrangian Mechanics
  • Hamiltonian Mechanics
  • Hamilton-Jacobi Theory
  • Integrability
  • Nekhoroshev Theorem
  • perturbative Methods

About this book

This texbook is based on the author's lecture notes held at Quinzhen College, Tsinghua University, Beijing, renowned for nurturing mathematical prodigies. The book offers a remarkable combination of characteristics that are both exceptional and seemingly contradictory. It is designed to be entirely self-contained, starting from the basics and building a strong foundation in geometric and algebraic tools. Simultaneously, topics are infused with mathematical elegance and profundity, employing contemporary language and techniques. From a physicist's perspective, the content delves deeply into the physical aspects, emphasizing the underlying principles. This book bridges the gap between students and cutting-edge research, with a special focus on symplectic geometry, integrability, and recent developments in the field.  It is designed to engage and captivate the reader. A conscious selection of topics ensures a more relevant and contemporary approach compared to traditional textbooks. The book addresseUs common misconceptions, offering clarity and precision. In its quest for brevity, this book is tailored for a one-semester course, offering a comprehensive and concise resource. The author's dedication is evident throughout this volume, encapsulating these goals within roughly 300 pages.

Authors and Affiliations

  • String Theory, Hefangkou Village, Beijing Institute of Mathematical Scienc, Beijing, China

    Sergio Cecotti

About the author

Sergio Cecotti graduated with a degree in physics from the University of Pisa in 1979 and has worked at Harvard University, UCLA, the CERN in Geneva, and the ICTP in Trieste. He has taught physics at the University of Pisa, the International School for Advanced Studies of Trieste (SISSA), and now at BIMSA in Beijing. He is the author of the book "Introduction to String Theory" published by Springer (2023).

Bibliographic Information

  • Book Title: Analytical Mechanics

  • Book Subtitle: A Concise Textbook

  • Authors: Sergio Cecotti

  • Series Title: UNITEXT for Physics

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Hardcover ISBN: 978-3-031-59263-8Due: 05 August 2024

  • Softcover ISBN: 978-3-031-59266-9Due: 05 August 2024

  • eBook ISBN: 978-3-031-59264-5Due: 05 August 2024

  • Series ISSN: 2198-7882

  • Series E-ISSN: 2198-7890

  • Edition Number: 1

  • Number of Illustrations: 32 b/w illustrations

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