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A Student's Guide to Lagrangians and Hamiltonians Paperback – 21 Nov 2013

4.3 out of 5 stars 13 customer reviews

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Product details

  • Paperback: 184 pages
  • Publisher: Cambridge University Press (21 Nov. 2013)
  • Language: English
  • ISBN-10: 1107617529
  • ISBN-13: 978-1107617520
  • Product Dimensions: 15.2 x 1 x 22.8 cm
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (13 customer reviews)
  • Amazon Bestsellers Rank: 248,556 in Books (See Top 100 in Books)
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Product Description

Review

'… in a logically clear and physically rigorous way the book highlights the landmarks of the analytical mechanics so that the attentive student can be easily prepared for the exam. It is suitable for studying in intermediate and upper-level undergraduate courses of classical mechanics …' Vladimir I. Pulov, Journal of Geometry and Symmetry in Physics

Book Description

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. Written in clear, simple language and featuring numerous worked examples and exercises, this book is a valuable supplement to courses in mechanics.

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4.3 out of 5 stars
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Top Customer Reviews

Format: Paperback Verified Purchase
* Physical

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.
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Good, clear explanation of the mathematics behind this topic. Some worked examples and questions (those questions come with some answers...just the final answer though...not the working). I've come across some books on this topic which can twist you in knots. This is clear and unambigious. Recommended.
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Good book, but it needs the FULL solutions. The Maxwell's equations is by far the best student guide, why cant they all have a similar structure? I think the series of books would do much better if they followed the example set in Maxwell's equations guide. Too many times in this book is the answer given for the in chapter questions with no working, or little insight as to how it is obtained. Further, only odd number end of chapter questions are provided, I hate it when books are published in such a format, college professors should be at the level where they can write their own problems for classes! These books are for students after all... "students guide?" That's miss leading,
There is however, a number of good worked examples and the explanations are quite good. Worth the buy in the end, but it could be better.
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Format: Paperback
I wanted to like this book - it is engagingly written and in places explains things really well. Unfortunately, in other places it makes a complete mess of things, particularly where the mathematics is concerned. There is a vital difference between a judicious choice of the level of mathematical rigour that is appropriate to context and audience, and sweeping key analytical issues under the carpet. This author gets it wrong: he cops out and engages in magical hand waving whenever the going gets tough; the passages on the differences between differentials, variations, partial derivatives, and virtual displacement read more like medieval zoology. It is books like this one that deprive physics undergrads from properly understanding the fundamental concepts of analysis, and perhaps making them feel that they are to blame for their persistent befuddlement. Incidentally, readers of this book are advised to look elsewhere for the correct definition of "functional" --- it does not bother me so much that he gets the terminology wrong, but that it betrays a compete lack of understanding of what is going on mathematically.
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A good technical grounding in the day to day business of constructing Lagrangians and Hamiltonians for physical problems.
The book also provides a thorough (from a physics viewpoint) treatment of the mathematics that lie behind the concept.
All in all a very good book.
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A very educating and challenging enough book giving an excellent overview of the subject. The two level exercise and problem system worked well and there were difficult enough problems to solve. The only small minus was, that there were fairly many inaccuracies in problems and solutions - however, keeping the reader alert.
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i needed more background to follow eveything, but will do no regrets having bought it. can recommend it to the more educated
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