Archive for the ‘Mathematical Modeling’ Category

The CRC Encyclopedia of Mathematics

Thursday, November 12th, 2009

The CRC Encyclopedia of Mathematics, Third Edition - 3 Volume Set

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I spotted this book on Amazon US and was thrilled to have the new edition in 3 volumes for easy handling when reading. I also have the previous edition that is even featured on my own book cover (the picture of my previous library book arrangement, the book is highlighted in white rectangle in the lower right corner):

This is a unique volume that sits between The Princeton Companion to Mathematics (that I’m also reading now) and Encyclopedic Dictionary of Mathematics: The Mathematical Society of Japan (that I also own). In fact after reading 3 volumes from cover to cover I can start with 2 volumes of EDM. There is also Springer Encyclopaedia of Mathematics in 11 volumes with various additional supplement volumes that I plan to own as well and it looks to me on the same level as EDM.

After searching for the best price I ordered a copy from Amazon DE and after my purchase in just a few days the price was up by 50%! I can only explain this that more people tried to purchase after I used twitter to announce this encyclopedia (there were 5 copies available on Amazon DE and in just 2 days only 1 left) or there was a mistake in price.

3 volumes arrived and I immediately started reading them, a few pages from each volume every day using mod 3 reading technique, for example, Wed - Vol I, Thu - Vol II, Fri - Vol III, Mon - Vol I, an so on. I prefer paper books for bulk reading instead of electronic version (in this case corresponding website) although if I’m interested in a specific article or a keyword I go to Wolfram MathWorld website to get the latest update and citations. These paperback volumes are just for day-to-day scheduled reading to get ideas and general mathematical education. This is why I don’t need an Index. For example, just after reading the first pages I got the idea of cubic (qubic) memory representation.

I usually put reviews on Amazon after I finish a book from cover to cover but in this case the review would be waiting for at least a year so I write it now based on my first impressions. After some time I plan to update it.

- Dmitry Vostokov @ LiterateScientist.com -

Conceptual Mathematics

Tuesday, April 28th, 2009

This is a book that I noticed in a bookshop 6 years ago. I was curious by its title and front cover because at school I was interested in foundations of mathematics and abstract algebra ideas. I bought this book and from it I first heard of and learnt about category theory.

Conceptual Mathematics: A First Introduction to Categories

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Very accessible and highly recommended as the first introduction but it requires probably the second reading if you are not used to mathematical abstractions. Fortunately there is the second edition coming after almost 15 years that seems have extra 50 pages added and I’m looking forward to reading it too.

Conceptual Mathematics: A First Introduction to Categories (Second Edition)

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- Dmitry Vostokov @ LiterateScientist.com -

Reality Rules

Thursday, February 5th, 2009

These two volumes I bought a few years ago, started reading the first chapter and then other books got reading priority, for example, Rosen’s “Life Itself”. A few weeks ago I picked up the first volume again and started reading from the beginning. I’m was really amazed how I understand it better after reading Rosen’s books. These volumes are highly recommended to learn about models of reality and mathematical modeling itself. The first chapter that discusses the relationship of models to observation is awesome. The book requires an undergraduate engineering level of mathematics: linear algebra, calculus and a bit of mathematical analysis. You will also learn about catastrophe-theoretic models, chaos, cellular automata, geometry of human affairs, patterns, fractals, and many other things. There is even a discussion about controversies in catastrophe theory involving Rene Thom. I think the first volume of this book set is a prerequisite reading before starting with classic Structural Stability And Morphogenesis.

Reality Rules, 2 Volume Set

- Dmitry Vostokov @ LiterateScientist.com -

Literate Scientists and Their Books

Thursday, January 8th, 2009

OpenTask plans to publish the extended and edited version of this blog as a book:

Literate Scientists and Their Books: An Independent Guide to Understanding Reality (ISBN: 978-1906717520)

- Dmitry Vostokov @ LiterateScientist.com -