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This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of his study. Until now, most of this material was dispersed in research papers published in many journals and languages. The main subjects treated are the Schouten-Nijenhuis bracket; the generalized Frobenius theorem; the basics of Poisson manifolds; Poisson calculus and cohomology; quantization; Poisson morphisms and reduction; realizations of Poisson manifolds by symplectic manifolds and by symplectic groupoids and Poisson-Lie groups. The book unifies terminology and notation. It also reports on some original developments stemming from the author's work, including new results on Poisson cohomology and geometric quantization, cofoliations and biinvariant Poisson structures on Lie groups.
| Price | Condition | Delivery | Seller | Action |
| $130.91 | Digital |
| WonderClub |
Will Farrell
reviewed Lectures on the Geometry of Poisson Manifolds on August 27, 2012
Lectures on the Geometry of Poisson Manifolds
This is a very fun read for all you science nerds... not only being clear and humorous but wide-ranging and careful to build up a number of those necessary building blocks of knowledge but doing it precisely in order to slam you with the good stuff later.
Like how you'd DIE IN A BLACK HOLE... :)
To belabor the obvious by the title. :)
Seriously, this book gives us a ton of great ways to die and not just by black hole. I really appreciated that. :)
I'd characterize this book as an easy to intermediate stage science book that's very far from being dull and it has a minimum of equations. I'm sure everyone has heard of thermodynamics and E=MC squared and Drake's equation, after all, but what really thrilled me about this was the truly wide array of subjects and Tyson's conversational tone.
You can tell he is still a very, very good science teacher. :)
I can almost hear him say, "Let's throw out the crap, folks, let's dive right into the good stuff." And he does, ranging from the Big Bang to the Heat Death, kinds of possible life on planets, the building blocks we need to understand science, including a great "stick" analogy for understanding the universe without computers, and he even gets into a bit of politics and religion because let's face it: it's a hot discussion item. But thankfully, it's only there as an afterthought.
I wanted science and I got science, exploring the planets, the sun, even quasars, and especially Black Holes. That's the yummy stuff, after all.
10/10 Black Holes agree! Nom nom nom nom nom.
I totally recommend this for both laymen and the intelligently curious and for anyone else who just likes a bit of the good (science) life. It really, really helps that Tyson's a great writer and clear as glass. The light passes right through it without slowing down at all! Can you believe it?
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