Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) Review

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Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) ReviewA few decades ago mathematical biology consisted mostly of evolutionary and predator-prey models. This has changed dramatically in recent years with the advent of computational biology and gene sequencing projects. The applications of mathematics to biology are now exploding and this book is an excellent example of that. The book could best be described as the application of nonlinear dynamical systems and reaction-diffusion partial differential equations to biology structures and processes. Readers with background in these areas of mathematics will find their ideas applied beautifully in this book. The best sections of the book for me were the discussions of synchronized insect emergence, models of testosterone secretion control, insect dispersal models, calcium waves on amphibian eggs, mammalian coat patterns, models of hallucination patterns in the brain, and modeling the transmission dynamics of HIV. Numerous exercises end each chapter, and the mathematical algorithms can easily be coded in Mathematica or some other high level language. This is a fine addition to the literature on mathematical biology and for the price it is a real bargain.Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) Overview

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Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction Review

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Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction ReviewHave to agree with Mark, this book is quite superb. Professor Toro does a superb job - it took me from knowing nothing about shock capture to being able to write my own high resolution code in about six months. Coupled with the Numerica software it is an invaluable tool for learning about compressible flow.Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction Overview

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The Fractal Geometry of Nature Review

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The Fractal Geometry of Nature ReviewMandelbrot is the person who introduced the fractal theory to the world in its present form. Many fields of science including geophysics have gained from fractals. However, this is not the book one should read to gain knowledge on the subject.
It is not an easily readable book. 1. It is not well-organized 2. It does not cover necessary things in detail 3. Frustratingly long in some parts. Instead the books: Feder, Fractals; Turcotte, Fractals and Chaos in Geology and Geophysics can be recommended.
Fractal geometry may be interesting as a historical book, after one gains a sufficient knowledge on fractals.The Fractal Geometry of Nature Overview

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Statistics Review

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Statistics ReviewIf you are an instructor avoid this book. I have used older editions of this book because they have been easy for students to understand. With the eighth edition I have had to pass out lists of corrections and mistakes in the book. They are nothing major, but often confuse students.Statistics Overview

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Wonders of Numbers: Adventures in Math, Mind, and Meaning Review

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Wonders of Numbers: Adventures in Math, Mind, and Meaning ReviewNow here is a fine weekend escape - a delightful book to be read with one's feet up and an ice cold beverage all the while contemplating the wonders of numbers. Mostly about the integers, there are such mathematical adventures as 2, 3, and 4 dimensional magic squares, numbers so huge they require special notation and easily dwarf the number of atoms in the known universe, fractal number sequences, Mozart numbers, and lots of other fun things in the 125 chapters. My favorite numbers are the Schizophrenic numbers (Chapter 93) which when evaluated to 500 digits reveal patterns of seemingly random digits alternating with chains of repetitions of identical digits. The book is especially entertaining for the connections shown between some of these numbers and music, art, science, and other areas of mathematics.
For additional enjoyment the Further Exploring section offers additional background including references to books and web sites and also some challenges to readers - a few of which even include a cash prize. And, best of all Wonders of Numbers is written in plain English and accompanied by splendid graphics, lively anecdotes, and a generous supply of epigraphs. A fun way to while away a weekend.Wonders of Numbers: Adventures in Math, Mind, and Meaning Overview

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