Geometric Algebra for Physicists et plus d'un million d'autres livres sont disponibles pour le Kindle d'Amazon. En savoir plus

Acheter neuf

ou
Identifiez-vous pour activer la commande 1-Click.
Acheter d'occasion
D'occasion - Comme neuf Voir les détails
Prix : EUR 56,98

ou
 
   
Amazon Rachète votre article
Recevez un chèque-cadeau de EUR 23,67
Amazon Rachète cet article
Plus de choix
Vous l'avez déjà ? Vendez votre exemplaire ici
Désolé, cet article n'est pas disponible en
Image non disponible pour la
couleur :
Image non disponible

 
Commencez à lire Geometric Algebra for Physicists sur votre Kindle en moins d'une minute.

Vous n'avez pas encore de Kindle ? Achetez-le ici ou téléchargez une application de lecture gratuite.

Geometric Algebra for Physicists [Anglais] [Broché]

Chris Doran , Anthony Lasenby

Prix : EUR 67,68 Livraison à EUR 0,01 En savoir plus.
  Tous les prix incluent la TVA
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
En stock.
Expédié et vendu par Amazon. Emballage cadeau disponible.

Formats

Prix Amazon Neuf à partir de Occasion à partir de
Format Kindle EUR 42,47  
Relié --  
Broché EUR 67,68  
Vendez cet article - Prix de rachat jusqu'à EUR 23,67
Vendez Geometric Algebra for Physicists contre un chèque-cadeau d'une valeur pouvant aller jusqu'à EUR 23,67, que vous pourrez ensuite utiliser sur tout le site Amazon.fr. Les valeurs de rachat peuvent varier (voir les critères d'éligibilité des produits). En savoir plus sur notre programme de reprise Amazon Rachète.

Description de l'ouvrage

22 novembre 2007
Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism. Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory.

Offres spéciales et liens associés


Les clients ayant consulté cet article ont également regardé


Descriptions du produit

Revue de presse

Review of the hardback: 'I would therefore highly recommend this book for anyone wishing to enter this interesting and potentially fundamental area.' Mathematics Today

'The range of topics presented in the book is astonishing. … The present book is intended for physicists, but mathematicians will also find it highly valuable. The exposition of Grassmann's algebra given at the beginning of the book is exceptionally clear and is written with a light touch. … It is extraordinarily well written and is a beautifully produced piece.' The Mathematical Gazette

Biographie de l'auteur

Chris Doran obtained his Ph.D. from the University of Cambridge, having gained a distinction in Part II of his undergraduate degree. He was elected a Junior Research Fellow of Churchill College, Cambridge in 1993, was made a Lloyd's of London Fellow in 1996 and was the Schlumberger Interdisciplinary Research Fellow of Darwin College, Cambridge in 1997 and 2000. He is currently a Fellow of Sidney Sussex College, Cambridge and holds an EPSRC Advanced Fellowship. Dr Doran has published widely on aspects of mathematical physics and is currently researching applications of geometric algebra in engineering and computer science.

Anthony Lasenby is Professor of Astrophysics and Cosmology at the University of Cambridge, and is currently Head of the Astrophysics Group and the Mullard Radio Astronomy Observatory in the Cavendish Laboratory. He began his astronomical career with a Ph.D. at Jodrell Bank, specialising in the Cosmic Microwave Background, which has been a major subject of his research ever since. After a brief period at the National Radio Astronomy Observatory in America, he moved from Manchester to Cambridge in 1984, and has been at the Cavendish since then. He is the author or coauthor of nearly 200 papers spanning a wide range of fields, from early universe cosmology to computer vision. His introduction to geometric algebra came in 1988, when he encountered the work of David Hestenes for the first time, and since then he has been developing geometric algebra techniques and employing them in his research in many areas.

Détails sur le produit


En savoir plus sur l'auteur

Découvrez des livres, informez-vous sur les écrivains, lisez des blogs d'auteurs et bien plus encore.

Dans ce livre (En savoir plus)
Parcourir et rechercher une autre édition de ce livre.
Première phrase
The goal of expressing geometrical relationships through algebraic equations has dominated much of the development of mathematics. Lire la première page
En découvrir plus
Concordance
Parcourir les pages échantillon
Couverture | Copyright | Table des matières | Extrait | Index | Quatrième de couverture
Rechercher dans ce livre:

Commentaires en ligne 

Il n'y a pas encore de commentaires clients sur Amazon.fr
5 étoiles
4 étoiles
3 étoiles
2 étoiles
1 étoiles
Commentaires client les plus utiles sur Amazon.com (beta)
Amazon.com: 4.8 étoiles sur 5  8 commentaires
76 internautes sur 79 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 A powerful mathematical language for physics and engineering 31 juillet 2004
Par Prof C. R. PAIVA - Publié sur Amazon.com
Format:Relié
This is a well-written book on a very interesting and important subject: geometric algebra (GA) is a powerful and elegant mathematical language -- based on the works of Hamilton, Grassmann and Clifford -- that is especially well-suited for spacetime physics and several fields of engineering.

The authors adopt David Hestenes' viewpoint of a graded GA as a unified mathematical language that is coordinate-free, thereby stressing the fundamental role of geometric invariants in physics.

In fact, the elementary vector analysis -- which pervades almost all undergraduate (and even) graduate approaches to electrodynamics -- finds its roots in the misguided Gibbsian approach: Gibbs advocated abandoning Hamilton's quaternions and just work with scalar and cross products of vectors. However, the cross product has a major flaw: it only exists in three (or seven) dimensions -- if we require that (i) it should have just two factors, (ii) to be orthogonal to the factors, and (iii) to have length equal to the corresponding parallelogram.

Electrodynamics and relativistic physics, particularly, are elegantly presented through GA and otherwise cumbersome calculations may be circumvented in a simple and insightful way.

Mainstream physics and engineering cannot overlook GA anymore.
97 internautes sur 103 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Compared to what ? 30 janvier 2004
Par Un client - Publié sur Amazon.com
Format:Relié
This is truly a great book for any one who is interested in not just physics, but physical reality. Although the ideas expressed therein have a long history and are by no means as uniquely those of its authors as were Albert Einstein's in his day, I believe that they will have comparable lasting value. Moreover the synthesis presented in this book, which builds pre-eminently on the work of Hestenes, is absolutely superb. Interested readers need not take my word for these claims, but are invited to prove it to themselves.
Although the above should be a sufficient review, my experience nevertheless indicates that it is a good idea to warn potentially enthusiastic readers against several common semantic misconceptions, lest they jump to conclusions which prevent them from ever taking that vital first step. Thus let it be clearly understood that Geometric Algebra is NOT:
(1) A replacement for linear/matrix/tensor algebra (on the contrary, it is a very nice complement to these formalisms).
(2) Identical, or even very close, to Emil Artin's earlier excellent book on bilinear forms with the title "Geometric Algebra".
(3) Another name for the enormous field "algebraic geometry" (it is indeed appropriate that the word stemming from "geometry" comes first in "geometric algebra").
(4) Just another reformulation of complex / quaternion / octonian analysis; for it connects all these purely algebraic objects, and many generalizations thereof, to Felix Klein's Erlangen Programme and Sophus Lie's theory of continuous groups.
(5) The ultimate theory of everything (although it probably will eventually be found to have something to do with it).
Geometric algebra IS a practical and natural (canonical) tool for formulating physical and mathematical problems in homogeneous spaces in a fully covariant fashion. But more importantly, you do not need to understand all those words in order to benefit from it, and this book is an excellent place for physicists of all stripes to start.
35 internautes sur 35 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 makes your head buzz... 4 août 2007
Par rewt - Publié sur Amazon.com
Format:Relié
I'm reading this book somewhat in parallel with Hestenes' New Foundations for Classical Mechanics. Both are fantastic books (Hestenes' predates this one), and in some parts they are complementary, while of course they overlap in the foundations and many special topics. What is so fascinating about Geometric Algebra and Calculus? I think it's mainly the recognition that many seemingly complicated theorems of mathematical physics really become much clearer - in a sense of getting a guts feeling about the geometry. The method opens a way to look at the same thing from totally different angles: If one can't imagine something based on geometric arguments, one can take the presented formalism and translate it back into geometry, and suddenly things become clear.
Is the book (or that by Hestenes) basic and easy to understand or are they difficult? Certainly they require some work by the reader. To follow the entire book, one really can't do without learning to master the formalism of geometric algebra, which is simple, yet sometimes bizarre. I suspect though that it is only bizarre to the one who "knows it all" already: The student or scientist who has grown familiar with vector spaces, matrix notation and wiggling around with tensor notation, needs to go through the same exercises as the bloody beginner to whom even the idea of a vector may not be clear. In fact, the beginner could be at a real advantage to not being poisoned by vector calculus. For example, take the very basic notation for a geometric product of two multi-vectors: ab = a.b + a^b (the sum of inner and outer product). What's so confusing about it? Nothing, really, after one really understands what "+" here means. But it happens often enough that one only thinks about this product in terms of the right hand side of the equation, because those are totally familiar for anyone who took basic linear algebra, and then ends up making simple things complicated again. I must say that it was like loosing shadows from the eyes to see how the formulations in this book and Hestenes' work explain so well why it is that the quantum mechanical psi function needs to be complex, or better yet what really the i means in physics, and how the entire set of Maxwell equations (all 4 of them) are one simple continuity equation. That's the kind of thing that makes your head buzz. I'm not done with these books, but I have a clear feeling that in the end I will have an entry point to understand QM and parts of general relativity not just formally (especially QM) but really develop a guts feeling for it.
One thing that I'm still a bit missing in any of the books related to geometric algebra is classical continuum mechanics. This may be so because many of the authors are immersed in fields related to cosmology. In this book, one can find a tiny little bit also about elasticity (linear and nonlinear). However, I keep wondering what it would be like to reformulate the entire underlying theory of continuum mechanics (about deforming solids, elastic or viscoelastic or plastic, about fluid flow, about polarized materials, biological active materials, etc). Could something new be learned? I bet it could!
21 internautes sur 21 ont trouvé ce commentaire utile 
4.0 étoiles sur 5 definitely for physicists 16 mai 2009
Par Peeter Joot - Publié sur Amazon.com
Format:Broché
This book has a good introduction to geometric algebra. This includes an excellent axiomatic presentation, unlike the Hestenes New Foundations book where the basic identities are presented rather randomly.

The title of this book "for Physicists", is very accurate. This book assumes a great deal of physics knowledge and many subjects are not covered in enough detail for comprehensibility for first time study. With an engineering education, much of the physics in this book is over my head. Many important details are treated very much more briefly than I would personally like. This is justifiable unfortunately since the book would otherwise be three thousand pages long.

In order to understand the parts of this book that I have now covered, I have had to also go off on the side and learn aspects of relativity, tensors, electromagnetism, Lagrangians, Noether's theorem, and much more (QM and more relativity and more E&M are next on my list before returning to this book).

Studying this text continues to be a fun project, and if I ever finish this book I believe I will have a fairly good understanding of basic physics. Despite being a very hard book to grasp due to brevity and advanced topics, taking the time to work through the details provides valuable insights, and yields approaches that would not be obvious with only traditional formulations.
59 internautes sur 82 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Articulate Path to the Future 18 juillet 2003
Par Jim Curry - Publié sur Amazon.com
Format:Relié
The quality and importance of this book could hardly be overstated. Geometric algebra might casually be considered the "correct" generalization of linear algebra. By considering, for a start, directed line segments, the linear algebra courses presently taught in some high schools and all universities achieve miracles. Although viewed by a few of the slower students as merely unpleasant bookkeeping systems, linear algebra derives its power from allowing algebraic manipulation of sophisticated aggregate objects, namely vectors. The benefits are not just computational, but stem more importantly from a more powerful and more unified, although slightly more abstract point of view than a student had before studying. Geometric algebra is all that and much more. By extending consideration from directed line segments to the inclusion of direct plane segments, directed elements of three space, etc., an extremely flexible and elegant mathematical tool arises. It allows a deeper, quicker, and more concise treatment of essentially all of modern differential geometry. Its applications throughout physics are at once simplifications of ordinary matrix treatments and occasions to allow much greater insight.
Geometric algebra is a great theory, one of highest importance. It will, undoubtedly, find a dominant place in our mathematics curriculum at the highest speed allowed by our educational systems (the highest speed being actually quite slow). This book is an especially good place to begin study. It starts from the most elementary principles, and exposes the material with very thoughtful, clear presentation. The economy and elegance of the geometric algebra itself allows this one substantial but not enormous book to reveal great insights into many branches of study, from differential geometry and its applications to gravity theory to quantum mechanics and classical mechanics.
If I had no books in my library, I would purchase a Bible. If I had only the Bible in my library, I would purchase this book next. I would certainly study this book in all detail before making a third purchase. My library already has several books in it. None of them will be read further until I finish every line, every exercise of this book. It's an important theory, and it is explained in a very useful and articulate way. This would, of course, be entirely expected if the authors were from Oxford University. Since they are only from Cambridge, we might not have expected as much, but we got it, nonetheless.
Ces commentaires ont-ils été utiles ?   Dites-le-nous

Discussions entre clients

Le forum concernant ce produit
Discussion Réponses Message le plus récent
Pas de discussions pour l'instant

Posez des questions, partagez votre opinion, gagnez en compréhension
Démarrer une nouvelle discussion
Thème:
Première publication:
Aller s'identifier
 

Rechercher parmi les discussions des clients
Rechercher dans toutes les discussions Amazon
   


Rechercher des articles similaires par rubrique


Commentaires

Souhaitez-vous compléter ou améliorer les informations sur ce produit ? Ou faire modifier les images?