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Mathematica Data Visualization was written with one goal in mind—teaching the reader how to write interactive visualization programs seamlessly using Mathematica. Mathematica is the programming language of choice for many data analysts, mathematicians, scientists, engineers, and business analysts. It offers a powerful suite of data analysis and data mining packages, along with a very rich data visualization framework for its users.

Game theory has become an essential tool in the analysis of supply chains with multiple agents, often with conflicting objectives. This chapter surveys the applications of game theory to supply chain analysis and outlines game-theoretic concepts that have potential for future application. We discuss both non-cooperative and cooperative game theory in static and dynamic settings. Careful attention is given to techniques for demonstrating the existence and uniqueness of equilibrium in non-cooperative games. A newsvendor game is employed throughout to demonstrate the application of various tools.

Optimization problems arise naturally in many application fields. Whatever people do, at some point they get a craving to organize things in a best possible way. This intention, converted in a mathematical form, turns out to be an optimization problem of certain type. Depending on the field of interest, it could be the optimal design problem, the optimal control problem, the optimal location problem or even the optimal diet problem.

This chapter is a self-contained tutorial which tells you how to get started with parallel programming and how to design and implement algorithms in a structured way. The chapter introduces a simple target architecture for designing parallel algorithms, the bulk synchronous parallel computer. Using the computation of the inner product of two vectors as an example, the chapter shows how an algorithm is designed hand in hand with its cost analysis. The algorithm is implemented in a short program that demonstrates the most important primitives of BSPlib, the main communication library used in this book. If you understand this program well, you can start writing your own parallel programs. Another program included in this chapter is a benchmarking program that allows you to measure the BSP parameters of your parallel computer. Substituting these parameters into a theoretical cost formula for an algorithm gives a prediction of the actual running time of an implementation.

There are so many computer languages you can use to get started with coding. What you’ll find in this book is an introductory treatment of coding in a single programming language — a teaching language, called MicroWorlds EX, that is conceptually transferrable to every other programming language. It’s easy to learn because the vocabulary and punctuation look like regular words and symbols. And it’s fun to do because you can add graphics, motion, and sound to make your projects into real apps.

本书取名《我的数学分析积木》，原因是本书带有一些微积分回忆录味道， 是笔者这些年来对数学的一些感悟所写成的数学笔记。书中观点和内容吸取了 不少数学大师的思想精华，同时也包含了自己对数学的一些理解。