Modern classical mechanics

著者

• Helliwell, T. M. (Thomas M.)
• Sahakian, V. V.

書誌事項

Modern classical mechanics

T.M. Helliwell, Harvey Mudd College, California, V.V. Sahakian, Harvey Mudd College, California

Cambridge University Press, 2021

注記

Summary: "The branch of physics known as "classical mechanics" originated in the seventeenth century, but wasn't called that until the discovery of quantum mechanics in the 1920s. It was quantum mechanics that most profoundly changed our understanding of how and why particles move as they do, and even what a particle is. Quantum mechanics was so completely different that the word "classical" had to be added to the older theory to make it clear which mechanics was meant. At the same time, quantum mechanics was heavily inspired and influenced by the formulations of classical mechanics by Lagrange and Hamilton dating back to the eighteenth and nineteenth centuries. Einstein's theories of special relativity (1905) and general relativity (1915) also had important impacts on classical mechanics, changing the laws of motion primarily by revolutionizing our understanding of the spacetime arena in which physics takes place."

Includes bibliographical references and index

内容説明・目次

内容説明

In this modern and distinctive textbook, Helliwell and Sahakian present classical mechanics as a thriving and contemporary field with strong connections to cutting-edge research topics in physics. Each part of the book concludes with a capstone chapter describing various key topics in quantum mechanics, general relativity, and other areas of modern physics, clearly demonstrating how they relate to advanced classical mechanics, and enabling students to appreciate the central importance of classical mechanics within contemporary fields of research. Numerous and detailed examples are interleaved with theoretical content, illustrating abstract concepts more concretely. Extensive problem sets at the end of each chapter further reinforce students' understanding of key concepts, and provide opportunities for assessment or self-testing. A detailed online solutions manual and lecture slides accompany the text for instructors. Often a flexible approach is required when teaching advanced classical mechanics, and, to facilitate this, the authors have outlined several paths instructors and students can follow through the book, depending on background knowledge and the length of their course.

目次

• Part I: 1. Newtonian particle mechanics
• 2. Relativity
• 3. The variational principle
• 4. Lagrangian mechanics
• 5. From classical to quantum and back
• Part II: 6. Constraints and symmetries
• 7. Gravitation
• 8. Electromagnetism
• 9. Accelerating frames
• 10. From black holes to random forces
• Part III: 11. Hamiltonian formulation
• 12. Rigid body dynamics
• 13. Coupled oscillators
• 14. Complex systems
• 15. Seeds of quantization
• Appendices
• Bibliography
• Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC02252749
• ISBN:
  • 9781108834971
• LCCN: 2020039628
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge ; New York
• ページ数/冊数: xix, 687 pages
• 大きさ: 26 cm
• 分類:
  • LCC : QA809
  • DC23 : 531
• 件名:
  • LCSH : Mechanics