Elementary Classical Mechanics: Problems And Solutions

The Problems and Solutions book provides a comprehensive introduction to classical mechanics, suitable for university mathematics students without a background in physics. It covers advanced topics such as Lagrangian, Hamiltonian, and quantum mechanics and is an essential resource for those interested in further studying these areas.

Format: Paperback / softback
Length: 88 pages
Publication date: 10 July 2023
Publisher: World Scientific Publishing Co Pte Ltd

This Problems and Solutions book addresses the numerous problems in the textbook that develops elementary classical mechanics in a setting that is appropriate for beginning university mathematics students without requiring a background in physics. It is an ideal first look at the subject for those who will go on to study more advanced aspects of the subject, such as Lagrangian, Hamiltonian, and quantum mechanics. These more advanced developments of mechanics are at the forefront of research in modern mathematics. Certainly, topics such as symplectic geometry, Lagrangian intersection theory, spectral theory, pseudodifferential operators, etc. do not require a background in classical mechanics, but studies in these areas are greatly enriched by a knowledge of their roots and how some of their motivational issues arose.

The book is divided into two parts. The first part provides a comprehensive introduction to classical mechanics, covering topics such as kinematics, dynamics, Newton's laws, and Lagrangian and Hamiltonian mechanics. The second part consists of a series of problems and solutions that cover a wide range of topics, from simple harmonic oscillators to more complex systems such as planetary motion and quantum mechanics.

One of the key features of the book is its emphasis on problem-solving skills. Each problem is carefully designed to challenge the reader's understanding of the concepts and to encourage them to apply them in new and innovative ways. The solutions are also provided in a clear and concise manner, making it easy for the reader to follow along and understand the underlying principles.

In addition to its practical applications, the book also serves as a valuable resource for students who are interested in pursuing further studies in mathematics and physics. It provides a solid foundation in classical mechanics that can be built upon to explore more advanced topics in these fields.

Overall, this Problems and Solutions book is an excellent resource for anyone who wants to learn classical mechanics and develop problem-solving skills in this field. Its comprehensive coverage of topics, emphasis on problem-solving skills, and clear and concise explanations make it an ideal choice for students at all levels of education.

ISBN-13: 9789811277481