In this book, the subject of dynamics is introduced at undergraduate level through the elementary qualitative theory of differential equations, the geometry of phase curves and the theory of stability. The text is supplemented with over a hundred exercises.
Extensively revised from a successful first edition, this book features a wealth of clear illustrations, numerous worked examples, and many problem sets. It provides the quantitative perspective missing from more descriptive texts, without requiring an advanced background in mathematics, and as such will be welcomed for use in courses such as biomechanics and orthopedics, rehabilitation and industrial engineering, and occupational or sports medicine.
Comprehensive, classic introduction to space-flight engineering for advanced undergraduate and graduate students provides basic tools for quantitative analysis of the motions of satellites and other vehicles in space.
An integrated presentation of dynamics, vibrations, and control theory, emphasizing the fundamentals of dynamics. The text's flexible structure makes it useful for integrated courses covering all three areas, individual courses in dynamics, and as a quick refresher for professionals. Includes examples, problems and applications.
This book is intended to serve as a text on dynamics for undergraduate students of engineering. The book provides in-depth discussions of the fundamentals of Newtonian mechanics, more commonly known as dynamics. Drawing on the author’s extensive experience in teaching the subject of dynamics at two Indian Institutes of Technology (IITs) and the Indian Institute of Engineering Science and Technology (IIEST), the book contains 498 line diagrams, 123 worked-out examples and 222 exercise problems. The answers to select exercise problems are provided at the end of the book. A wealth of detailed illustrations make the book ideally suited for both self self-study and classroom use at both introductory and secondary levels. Thus the book offers a valuable resource for both students and teachers of dynamics, addressing the main topics covered in core level courses on ‘Dynamics’ for students of civil, mechanical and aerospace engineering across the globe.
First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.
Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.
Presents a unifying approach to the physics of chaos, nonlinear systems, dynamic networks, evolutionary dynamics, econophysics, and the theory of relativity. Each chapter has many worked examples and simple computer simulations that allow the student to explore the rich phenomena of nonlinear physics.
Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.