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Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics, quantum mechanics, classical and quantum field theory, special and general theory of relativity, etc. More than that, there are some formalisms like Lagrangian and Hamiltonian approaches, which represent the key stone for the development of the above-mentioned disciplines.
During the last 20-25 years, classical mechanics has undergone an important revival associated with the progress in non-linear dynamics, applications of Noether’s theorem and the extension of variational principles in various interdisciplinary sciences (for instance, magnetofluid dynamics). Thus, there ought to exist a book concerned with the applied analytical formalism, first developed in the frame of theoretical mechanics, which has proved to be one of the most efficient tools of investigation in the entire arena of science.
The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects.
We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers.
The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects.
We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers.
- Sales Rank: #3270539 in Books
- Published on: 2012-01-04
- Original language: English
- Number of items: 1
- Dimensions: 9.20" h x 1.30" w x 6.10" l, 1.75 pounds
- Binding: Hardcover
- 470 pages
Review
From the book reviews:
“The book is well structured and follows the logical way of studying mechanics with a large amount of problems that the student can solve … . It’s good study material and well equipped for those who want to find out more about the applications of a analytical mechanics in addition to the general idea of it.” (Kadri Tinn, AstroMadness.com, February, 2015)
“Considering how skillfully the material is presented and how many useful exercises are provided, it is clear that this course is based on a broad teaching experience of the three authors. … I had learned as a student mechanics following this book. It has the great merit that also continuum mechanics is treated, including the Navier-Stokes equation. … A really ‘Intensive Course’ on Mechanics that I can strongly recommend to undergraduate and graduate students of physics and relating subjects and to their corresponding teachers.” (Friedrich W. Hehl, Amazon.com, April, 2013)
“This book is dedicated to the principles and applications of classical mechanics, written for undergraduate and graduate students in physics and related subjects. The main purpose is to make the students familiar with the fundamentals of the theory, to stimulate them is the use of applications and to contribute to the formation of their background as specialists.” (Vasile Marinca, Zentralblatt MATH, Vol. 1244, 2012)
From the Back Cover
Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics, quantum mechanics, classical and quantum field theory, special and general theory of relativity, etc. More than that, there are some formalisms like Lagrangian and Hamiltonian approaches, which represent the key stone for the development of the above-mentioned disciplines.
During the last 20-25 years, classical mechanics has undergone an important revival associated with the progress in non-linear dynamics, applications of Noether’s theorem and the extension of variational principles in various interdisciplinary sciences (for instance, magnetofluid dynamics). Thus, there ought to exist a book concerned with the applied analytical formalism, first developed in the frame of theoretical mechanics, which has proved to be one of the most efficient tools of investigation in the entire arena of science.
The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects.
We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers.
About the Author
Masud Chaichian, University of Helsinki, Helsinki, Finland
Ioan Merches, Cuza University of Iasi, Iasi, Romania
Anca Tureanu, University of Helsinky, Helsinki, Finland
Most helpful customer reviews
6 of 6 people found the following review helpful.
A remarkable intensive course on mechanics
By Friedrich W. Hehl
Since there are some very good textbooks around in Mechanics, see, for instance, Kibble & Berkshire [1] or Scheck [2], I usually don't look too carefully into new textbooks on mechanics. However, the "Intensive Course" of Masud Chaichian and his colleagues Ioan Merches and Anca Tureanu is something particular.
Considering how skillfully the material is presented and how many useful exercises are provided, it is clear that this course is based on a broad teaching experience of the three authors. The traditional material on Newtonian and analytical mechanics is presented in a refreshingly direct way with explanatory examples and some nice historical material not taught conventionally. The Lagrangian formalism for discrete systems touches also the analogy between mechanical and electrical systems, the rigid body dynamics contains a very instructive discussion of gyroscopes and on the Larmor theorem.
The Hamiltonian formalism is worked out in quite some detail, including, for instance, a nice discussion of the Poisson and the Lagrange brackets and the relation to the corresponding commutators. Here the terrain is prepared in a rather direct and instructive way for applications to quantum mechanics.
In the concluding chapter, on about hundred pages, a course on the mechanics of continuous media is provided, a field that is becoming increasingly more important also in the development of modern physics and astrophysics. The three authors recognized this development an gave their students a rather complete introduction into this field. I wished I had learned as a student mechanics following this book. It has the great merit that also continuum mechanics is treated, including the Navier-Stokes equation. I only regret the absence of of a discussion on asymmetric stress tensors.
In some addenda, the three authors even give their students some hints into post-classical applications of mechanics. Moreover, on overview over tensor algebra and analysis is provided.
A really "Intensive Course" on Mechanics that I can strongly recommend to undergraduate and graduate students of physics and relating subjects and to their corresponding teachers.
[1] T.W.B.Kibble and F.H.Berkshire, Classical Mechanics, 5th ed. (Imperial College Press 2004).
[2] F.Scheck, Mechanics: From Newton's Laws to Deterministic Chaos, 5th ed. (Springer 2010).
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