Most helpful positive review
5 of 5 people found the following review helpful
lovely focused education primer in a very wide topic of Analytical Mechanics
on 10 October 2014
This book is very well bound for a paperback and has a great clarity in the size of the fonts to the size of the page.
* Target Audience
This is aimed physics, engineering and mathematical 2nd to third year undergraduates with a prerequisite with an ability or comprehension with Vector Calculus and partial differential equations, and perhaps any prior exposure with Calculus of Variations.
* Whats covered then?
The book starts on basic reminder of calculus equations of motion, then jumps into the Euler - Lagrange equation that is the workhorse of this and other books using Calculus of Variations. This has the usual required level of prior exposure to how the way the Mathematical language is used to explore this topic. The major plank used in the Lagrangian physics defined as the difference between Kinetic and Potential energies and expressed within the standard Lagrangian - Euler equation. You find a constant methodology as applying the 'principle of superposition' comes up time and time again.
The three most important laws within this books content are 'Conservation of Linear Momentum', the 'Conservation of Angular Momentum' and the 'Conservation of Energy'. If you know how each of the laws in symmetry terms as to how they work your O.K. The sections run another exposure to Calculus of Variations and how they can be applied with standard rules. The next parts cover a linking between Calculus of Variations which can be then applied with Lagrangian mechanics. The way these are explained uses a much stricter development with mathematical symbolic notation techniques. If your capable of reading this symbolic stuff its actually better way to take this lot in.This is needed as it generalizes to objects with many coordinates. I must say that explores 'Constraints and Lagrange's lambda method' (p77-83) a real eye - opener has to how this operates.
The later parts use a link from Calculus of Variations through Lagrange transformation and into canonical Hamiltonian techniques tougher to take in, but this latter method is described as much more capable method to use in multiple objects, multiple coordinate mechanics. It goes onto three - dimensional techniques in a very efficient way. Some of the Poisson stuff is still a bit vague at the moment, but i am still chugging along and having fun taking it bit - by -bit.
There are answers at the back of the book if your up for a challenge.
This book is a grand way to explore at a primer level, this important area of applied mechanics and personally its been a treat to read. I started this in September to October 2014. and its been an stimulating book and the price is fine.