- Tapa blanda: 181 páginas
- Editor: Cambridge University Press (21 de noviembre de 2013)
- Idioma: Inglés
- ISBN-10: 1107617529
- ISBN-13: 978-1107617520
- Valoración media de los clientes: 2 opiniones de clientes
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A Student's Guide to Lagrangians and Hamiltonians (Inglés) Tapa blanda – 21 nov 2013
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Descripción del producto
'… 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
Reseña del editor
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.Ver Descripción del producto
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I am very disappointed by the Kindle version's rendering of the equations. They are so tiny as to be almost unreadable. I can't understand why a book published in 2014 would be presented in electronic form using the stone-age method of displaying the mathematical expressions as images rather than as electronically typeset characters. When viewed on a tablet I can enlarge each such image so as to read it, but that is frustrating, cumbersome and distracting. That option isn't even available on a PC.
To my knowledge, there is no way of expanding the image sizes to coincide with enlarging the font display. Hamill's book is certainly not the only offender, but it is one of the most egregious.
I also want to comment on the post-enlightenment practice of avoiding the pronoun "we" in mathematical texts. To illustrate why this is inferior to the traditional usage consider the following: if I add two plus two I make four. Now, the astute reader will understand that if you add two plus two you make four. If some third party were to add two plus two he will also make four. So, to the enlightened mind, if _we_ add two plus two, we make four.
In the Introduction, Hammill says: "The material discussed here includes only topics directly related to the Lagrangian and Hamiltonian techniques. It is not a traditional graduate mechanics text and does not include many topics covered in texts such as those by Goldstein, Fetter and Walecka, or Landau and Lifshitz".
1. Is it worth it?
2. What about Kindle?
Yes to 1, as it gives a really stripped down, very simplified intro that will help through a LOT of the more difficult aspects of the calculus of variations. The author jokes that even the most overused formulas for acceleration in physics texts use oversimplified accelerations in Cartesian planes to hide the fact that any real, generalized analytic solutions are actually all subsets of advanced Hamilton-Jacobi formulas! Other than the most basic, most motion formula problems actually require numeric rather than analytic methods.
For 2-- Great news. Although Kindle (and most e readers) slaughter LaTex, this little book on Kindle ROCKS. The publisher took the time and care to be sure the formulas and illustrations worked. Don't laugh, many do not do this! Yes, you have the minor hassle of a few e-page breaks where you have to go back and forth for an illustration, but the formulas are "blocked" so they are readable on every device I've tried, from my Android Note II to cloud/laptop and Kindle Fire. This is good news, because instead of making an $80 text $79 on Kindle like some publishers (grrrr), this sweet little text is about $13 on Kindle at this writing. Go for it!
The author recommends a LOT of other titles for the "full" story with more applications and advanced treatments-- but two to consider that are just awesome are:
Hamiltonian and Lagrangian Dynamics: Volume 1 and Hamiltonian and Lagrangian Dynamics: Volume 2.