Elementary Classical Mechanics

This book 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.

Format: Hardback
Length: 152 pages
Publication date: 10 July 2023
Publisher: World Scientific Publishing Co Pte Ltd

This book is a comprehensive introduction to elementary classical mechanics, designed specifically for beginning university mathematics students who do not have a background in physics. It serves as an ideal starting point for those who wish to explore more advanced aspects of the field, such as Lagrangian, Hamiltonian, and quantum mechanics. These more advanced developments of mechanics are currently at the forefront of research in modern mathematics. While topics like symplectic geometry, Lagrangian intersection theory, spectral theory, pseudodifferential operators, and others do not necessarily require a deep understanding of classical mechanics, gaining knowledge of their roots and the historical motivations behind them can greatly enrich one's studies in these areas.

The book begins by covering the fundamental principles of mechanics, including Newton's laws of motion, force, and gravity. It then delves into topics such as kinematics, dynamics, and angular momentum, providing clear explanations and examples to help students grasp these concepts. Additionally, the book discusses the principles of conservation laws, including energy, momentum, and angular momentum, and how they apply to various physical systems.

Throughout the text, the authors emphasize the connections between classical mechanics and other branches of mathematics, such as algebra, differential equations, and vector analysis. This interdisciplinary approach not only enhances the understanding of classical mechanics but also prepares students for further studies in mathematics and physics.

One of the key strengths of this book is its accessibility. The authors have done an excellent job of explaining complex concepts in a clear and concise manner, making it suitable for students with a range of backgrounds. They use a variety of pedagogical tools, such as diagrams, equations, and examples, to help students visualize and understand the material.

Furthermore, the book includes numerous exercises and problems to reinforce the concepts learned in each chapter. These problems are designed to challenge students' problem-solving skills and help them apply the knowledge gained in the text. The solutions to these problems are also provided, allowing students to check their understanding and gain a deeper understanding of the subject.

In conclusion, this book is an excellent resource for beginning university mathematics students who are interested in learning classical mechanics. It provides a comprehensive and accessible introduction to the field, covering the fundamental principles and connections to other branches of mathematics. With its clear explanations, engaging examples, and numerous exercises, it is an ideal tool for students who wish to explore more advanced aspects of the subject and contribute to the ongoing research in modern mathematics.

ISBN-13: 9789811277450