Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Theory of Games and Economic Behavior (Commemorative Edition) (Princeton Classic Editions) Review

Theory of Games and Economic Behavior (Commemorative Edition) (Princeton Classic Editions)
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Theory of Games and Economic Behavior (Commemorative Edition) (Princeton Classic Editions) Review
I'm not even sure I'm qualified to pass judgement on this book, but what I understand, I give 5 stars without hesitation. The authors discuss almost every class of game (2-person, 3-person, zero-sum, non-zero-sum, etc.) and even a very simplified version of poker.

You basically have to be a mathematician to get full value from this book. This book is absolutely full of equations and complex proofs. For a beginner with little math, I'd recommend Game Theory by Morton Davis, or for someone with some university math I'd recommend Games and Decisions by Luce and Raiffa. However, if your math is good, you might as well go straight to this book, which started the whole field of game theory.Theory of Games and Economic Behavior (Commemorative Edition) (Princeton Classic Editions) Overview

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Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators Review

Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
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Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators ReviewIf you as a mathematician or physicist use linear algebra/approximations/algorithms at all, you should at least leaf through the opening chapters and digest the moral: pseudospectra are a tool that tells you important things about the character of a matrix, in particular when the eigenvalue spectrum is likely to be unreliable. Given the modular organization of the book, it is likely that anyone who appreciates this point will then find chapters they want to read.
The book is beautifully written and illustrated: it sets an example in mathematical exposition.Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators Overview

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Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4-10: Seven Practices to Maximize Learning Review

Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4-10: Seven Practices to Maximize Learning
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Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4-10: Seven Practices to Maximize Learning ReviewMath teachers working with grades 4-10 will find Leslie Laud's USING FORMATIVE ASSESSMENT TO DIFFERENTIATE MATHEMATICS INSTRUCTION: SEVEN PRACTICES TO MAXIMIZE LEARNING to be a specific and powerful teaching tool to help support an entire classroom, from struggling learners to high achievers. This book makes it easy to place formative assessment practices into action, from establishing norms and using TRI models to creating tiered lessons and multitasking a differentiated classroom. Highly recommended!Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4-10: Seven Practices to Maximize Learning Overview

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Differentiable Manifolds (Modern Birkhäuser Classics) Review

Differentiable Manifolds (Modern Birkhäuser Classics)
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Differentiable Manifolds (Modern Birkhäuser Classics) ReviewIt is SO HARD to create a precise yet not too-many-pages book on a lot of these higher math subjects. This guy really knows how to pick his topics from within the field which he is surveying. The font is beautiful as well. I wish that I had had him as a teacher when I learned this material -- I would have learned it SO much better the first time. As it was, it took about 3 times for it all to sink in. He should get a gold metal from someone for this!Differentiable Manifolds (Modern Birkhäuser Classics) Overview

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Schaum's A-Z Mathematics Review

Schaum's A-Z Mathematics
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Schaum's A-Z Mathematics ReviewI bought this as a reference for a college programming competition since we were allowed printed material but not Internet access. I have a degree in Mathematics, but even I forget some basic formulae on occasions (again, what was the formula for the area of a cone?). It's an alphabetized reference of basic high school mathematics theorems and formulae. The areas include (non-abstract, real) algebra, Euclidean geometry, plane trigonometry, and just a little bit of calculus. It also includes some elementary formulae from physics (mechanics specifically) and statistics. It doesn't bother thoroughly explaining the concepts, so I wouldn't use it as a piece of learning material. Instead, it is designed to be a quick reference. Definitions are presented, formulae are included where they are needed, and there are occasionally examples with solutions. If you're studying pre-calculus mathematics, this would be a handy reference and would save you from having to dig through your textbooks. It might also help when studying for the ACT or SAT, but there are better resources. If you're in calculus, you won't get much from it, however. Only the very, very basic integration formulae are included. Also, it's not quite enough to make it through an introductory statistics or physics class since some important items are omitted. For certain people, specifically someone needing a quick reference for pre-calculus mathematics and only need formulae instead of explanations, it works.Schaum's A-Z Mathematics Overview

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Sliceforms: Mathematical Models from Paper Sections Review

Sliceforms: Mathematical Models from Paper Sections
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Sliceforms: Mathematical Models from Paper Sections ReviewI picked up _Sliceforms_ in England, and got it home without much ado. However, on a bored Saturday night in October, I constructed my first Sliceform. The "slices" are extremely detailed templates, and cutting has to be exact, but when I completed the 'Form by sliding the cuts onto one another, I was amazed and perplexed. This three-dimensional shape can be folded onto itself in a synesthetically pleasing way. I carry my Sliceform with me whenever I sense I might get bored -- or need a handy conversation-starter! _Sliceforms_ is pretty easy to understand and a great joy to experience, especially if one is as detail-oriented as I. The only drawback is the less-than stellar explanations if you're not hugely geometrically inclined.Sliceforms: Mathematical Models from Paper Sections Overview

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The 100+ Series Mixed Skills in Math, Grades 1-2: Keeping Students Sharp With Daily Practice and Review Review

The 100+ Series Mixed Skills in Math, Grades 1-2: Keeping Students Sharp With Daily Practice and Review
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The 100+ Series Mixed Skills in Math, Grades 1-2: Keeping Students Sharp With Daily Practice and Review ReviewThe nice thing about this review book is that the skills really are mixed. I have used all of the books in this series when tutoring students in math. The constant repetition of basic skills helps to reinforce them in the minds of the students, even as they progress to more advanced ideas. One caution. This book does not explain how to do the problems. There are no examples. It is simply a book of mixed-skill problems. It presumes that a teacher, parent or tutor will provide explanations when needed. What the book claims to do, it does very well. Also the problems are presented in a format that is pleasing to kids.The 100+ Series Mixed Skills in Math, Grades 1-2: Keeping Students Sharp With Daily Practice and Review Overview
Revisit a variety of basic math concepts each day. Mixed Skills in Mathallows students to maintain skills already learned with these brief,engaging exercises. Your first and second graders will review manyessential math concepts including addition and subtraction with numberorder, money, graphing, time, even and odd numbers, fractions, placevalue, tally marks, ordinal numbers, and more. Each page containspractice of three math skills plus a bonus exercise that builds criticalthinking. The skill level advances incrementally throughout the book,ensuring that your students are always being challenged. Answer keyincluded.


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Curious and Interesting Geometry, The Penguin Dictionary of Review

Curious and Interesting Geometry, The Penguin Dictionary of
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Curious and Interesting Geometry, The Penguin Dictionary of ReviewA superb collection of classical geometrical results. Each therem is stated, its historical significance discussed, if there are any subtle points, they are mentioned, its relation to other theorems is also discussed. Many of the results presented are mostly forgotten after the invention of co-ordinate geometry by Descartes, but with the help of this book, the reader can get the feel of geometry the way it was in Pappus's time. For a book of this size, it really achives a lotCurious and Interesting Geometry, The Penguin Dictionary of OverviewA companion volume to the author's "Dictionary of Curious and Interesting Numbers", which focuses on arithmetic and number theory. The entries in this book cover curves, topology, tilings and all branches of plane and three-dimensional geometry, from Euclid to fractals.

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