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Analytical Mechanics : A Concise Textbook / by Sergio Cecotti.
Springer Nature - Springer Physics and Astronomy eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Cecotti, Sergio, author.
- Series:
- UNITEXT for Physics, 2198-7890
- Language:
- English
- Subjects (All):
- Mathematical physics.
- Theoretical, Mathematical and Computational Physics.
- Mathematical Physics.
- Local Subjects:
- Theoretical, Mathematical and Computational Physics.
- Mathematical Physics.
- Physical Description:
- 1 online resource (354 pages)
- Edition:
- 1st ed. 2024.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
- Summary:
- This textbook is based on the author's lecture notes held at Qiuzhen College, Tsinghua University, Beijing, renowned for its rapid scientific growth of its excellent students. 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 addresses 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.
- Contents:
- Towards Lagrangian Mechanics
- Smooth Manifolds
- Lagrangian Mechanics on Manifolds
- Variational Methods: the Action Principle
- Important Special Systems
- Hamilton Equations
- Symplectic Geometry
- Canonical Transformations
- The Hamilton-Jacobi Theory
- Integrable Systems and All That
- Introduction to Perturbative Methods.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9783031592645
- 3031592646
- OCLC:
- 1459751754
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