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Analytical Dynamics: A New Approach, by Firdaus E. Udwadia, Robert E. Kalaba
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This book offers a fresh, readable approach to the analysis of mechanical systems. It is written as an introduction to analytical dynamics, with an emphasis on fundamental concepts in mechanics. The book begins with a description of the motion of a particle subjected to constraints, and presents explicit equations of motion that govern large classes of constrained mechanical systems with refreshingly simple results. The authors provide examples throughout the book, as well as carefully formulated end-of-chapter problems that reinforce the material covered.
- Published on: 2010-03-22
- Original language: English
- Binding: Printed Access Code
Review
"Based on a fresh concept of the Moore-Penrose generalized inverse of a matrix, this textbook gives a non-traditional description of only one, but a very important, topic of analytical dynamics, namely, the derivation of the equations of motion of a constrained discrete mechanical system from the differential Gauss principle. The clear exposition with many interesting detailed examples and suggestions for further reading makes this book useful for 'the average college senior in science and engineering' as well as for any specialist in mechanics." A. Sumbatov, Mathematical Reviews, 98j
Most helpful customer reviews
310 of 311 people found the following review helpful.
A Superb Book On Analytical Dynamics
By A Customer
This is an excellent book on the fundamentals of Analytical Dynamics. It deals with the essentials of Lagrangian mechanics in an altogether new and imaginative way. It is a 'must read' for beginners as well as experts, for it contains a wealth of new information and new results. Though short (only about 250 pages), it sparkles with brilliance and promises to become, like Goldstein's book, a classic text in the field.
Far from a dry re-hash of material taken from other books, as is commonly the case with books on this subject, this book takes a truly novel and exciting tack--just like its title says. It explains the basic concepts in Analytical Dynamics in a new, thorough, yet simple, way. The material is extremely well-crafted and carefully presented in a systematic manner; the power of the new results provided by the authors is astounding, as illustrated by the numerous examples in the book.
The authors show their mastery of the subject by leading the reader on, with unusual clarity, into deeper and deeper realms of the subject with each successive chapter. The book provides amazing insights into Lagrangian mechanics, constrained motion, multi-body dynamics, Gauss's Principle, etc., along with an incredible economy of words, and a stunning level of simplicity.
The material in especially the later chapters that deals with elimination methods and the Gibbs-Appell equations, to the best of my knowledge, is all new. The problems at the end of each chapter appear to be carefully chosen and instructive for students. Each chaper ends with a section entitled "For Further Reading," that I found interesting. The format of the book is such that it could be easily used as a text for a course on the subject.
The authors have written a truly outstanding text that can be read and enjoyed by an advanced university junior or senior, a graduate student, or an expert in the field. It is one of the VERY FEW technical books that I have come across that I just could not put down, once I started reading it.
I heartily recommend this book to the science and engineering community.
311 of 312 people found the following review helpful.
A Short Review
By A Customer
I came across this book surfing the web. The customer reviews seemed excellent, so I bought it. Since I don't like long book reviews, I'll be brief.
My Opinion: The book is EXCELLENT! The authors know analytical dynamics inside-out, and that is why their explanations are so simple and aesthetic.
My Research: I was curious to know how this book came about . . . it seemed to come like out of the blue. So I did some research. The authors are active researchers. They have published numerous papers in the most prestigious journals over the last 2 decades, and they continue to present new research on the fundamentals of analytical dynamics. That explained a lot to me! Especially the high quality of the book.
Recommendation: Read it, and enjoy! Read it again, and enjoy some more!
About other reviews: I agree with the previous reviewers . . . this is a book that should be on the bookshelf of everyone interested in mechanics, students and researchers alike.
325 of 327 people found the following review helpful.
A New Classic in Analytical Dynamics
By A Customer
This short book is written with a style and clarity that can only come from individuals who understand analytical dynamics both deeply and well. The book is in many ways utterly brilliant. The authors take on perhaps the most difficult problem in analytical dynamics-- the problem of constrained motion that has been worked on by such individuals as H. Poincare-- and they provide a solution that is new, elegant, simple, and marvelous.
Though it starts from simple beginnings, from the very first chapter one realizes that this is a book of a very different caliber from those currently available on the subject. Almost imperceptibly, the authors lead the reader across a vast landscape in analytical dynamics. The topics are covered incrementally, and in excellent pedagogical order. Problems at the end of each chapter are well thought out. The authors' style is engaging, their explanations are remarkably clear, and their results simply amazing. The physical insights they provide are beautiful, novel, and new.
I consider this book to be a truly original contribution to the field of analytical dynamics; for, there is little in it that I have ever come across in any other book on the subject. Not only is its approach new, as its title says, but most of the results developed in it are also new-- something I would never have imagined finding in a mature field like mechanics.
There is little doubt that this book will have a lasting impact on the field of analytical dynamics. In eight short chapters it says more about the fundamentals of analytical dynamics than most other books that are three times its size. I believe that its uniqueness may well, in time, make it a classic.
I very strongly recommend this book to all students and researchers in the field. I plan to use it as a text for the course that I teach on the subject.
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