The Topos of Music: Geometric Logic of Concepts, Theory, and Performance Review

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The Topos of Music: Geometric Logic of Concepts, Theory, and Performance ReviewCategory theory meets music meets cognitive theory. There's a huge conceit here, that the most powerful tools of mathematics can bring out further understanding of music. And I was unsure of it to start. But there's a payout here. The math illuminates musical structures in an elegant and deep manner. Along the way there's nearly as much to say about brain function and cognition as music. (Though they're clearly closely related.)
I'd say that the book's audience is necessarily limited, but that for those who can safely approach the book, it's nothing less than a remarkable achievement. I liken it to when, as a physics graduate student, I first encountered Arnold's Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics). Mathematical elegance applied to the world.The Topos of Music: Geometric Logic of Concepts, Theory, and Performance Overview

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The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Dover Civil and Mechanical Engineering) Review

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The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Dover Civil and Mechanical Engineering) ReviewThe Finite Element Methodology though conceptually simple (eat the elephant by chopping it up into mouthfuls), becomes somewhat involved when applied, because the of tricks used to get solutions, after all you still may have to solve 100,000 PDEs to get your approximate solution to an otherwise intractable problem. So in its own way FEM can become a bit of a pachyderm itself.
This book is very good, but be aware that this book is aimed at graduate physical-science/engineering students. This means that you know how to solve basic second order differential equations and understand how to perform path integrals for example.
This book is aimed at people who would like to be able to write their own FEM solver. If you are looking to gain some backgrounding in how to construct finite element models using a program to solve problems, this book is probably much more than you need. You might want to try Schaum's Outline of Finite Element Analysis if this is your objective.
DLearn is available from the http://www.zace.com/afdlearn.html or by typing
"Dlearn program FEA"
into google and following the link.The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Dover Civil and Mechanical Engineering) Overview

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