Large collection of Mathematica and Wolfram Language-based books and references written by leading experts. Search by topic or language. Description. As both a highly readable tutorial and a definitive reference for over a million Mathematica users worldwide, this book covers every aspect of. This adaptation of Mathematica: A System for Doing Mathematics by Computer is the Offers a shorter and simpler version of the original book, leaving out.
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[email protected] In publications that refer to the Mathematica system, please cite this book as: Stephen Wolfram, The Mathematica Book, 5th ed. Bibliographic publication history of The Mathematica Book, the groundbreaking documentation for Mathematica software, with links to online versions. download The MATHEMATICA ® Book, Version 4 on terney.info ✓ FREE SHIPPING on qualified orders.
The goal of the book is to take people from zero to the point where they know enough about the Wolfram Language that they can routinely use it to create programs for things they want to do. This is a book for everyone. It just starts from scratch and explains things.
In the past, a book like this would have been inconceivable. But now we have the Wolfram Language. But how should one actually do it?
What should one explain, in what order? Those were challenges I had to address to write this book.
There are two great things about the Wolfram Language that make this really work. And second, that the language can be purely functional, so that everything is stateless, and every input can be self contained. Where to Start? OK, but where should one start? What I decided to do was to go immediately to the idea of functions —and to first introduce them in terms of arithmetic. So as a slightly more exciting function, what I introduce next is RandomInteger —which people often like to run over and over again, to see what it produces.
OK, so what next?
The obvious answer is that we have to introduce lists. But what should one do with lists? So instead what I decided was to make the very first function I show for lists be ListPlot. Actually, the best extremely simple example of that is Range , which I also show at this point. But OK, so now we want to reinforce the idea of functions, and functions working together. And, of course, whatever computations one does, one can immediately see the results, either symbolically or visually.
I start with trivial versions of Table , without any iteration variable. Of course, the fact that it can do this is a consequence of the fundamentally symbolic character of the Wolfram Language.
The next big step is to introduce a variable into Table. I thought a lot about how to do this, and decided that the best thing to show first is the purely symbolic version. The Arc of the Book In the first few sections of the book, the raw material for our computations is basically numbers and lists.
What I wanted to do next was to show that there are other things to compute with. I chose colors as the first example. Colors are good because a everyone knows what they are, b you can actually compute with them and c they make colorful output! People have seen interactive interfaces in lots of consumer software.
The next, perhaps surprising thing I introduce in the book is image processing. And what people see are just functions—like Blur and ColorNegate —whose purposes are easy to understand. I needed a sample image for the section, so, yes, I just snapped one right there—of me working on the book. Next I talk about strings and text. String operations on their own are pretty dry.
Next I cover sound , and talk about how to generate sequences of musical notes. For example, the names of musical notes are specified as strings—so one has to have talked about strings before musical notes.
By this point in the book, people already know how to do some useful and real things with the Wolfram Language. So I made the next section a kind of interlude—a meta-section that gives a sense of the overall scope of the Wolfram Language, and also shows how to find information on specific topics and functions. Lots of real-world data involves units—so the next section is devoted to working with units. After that I talk about dates and times. The Wolfram Language is big. One of the important objectives in the book is to cover these ideas.
Of course, it helps a lot that the language can manipulate them directly, as just another example of symbolic objects. But even though the internal algorithms for machine learning are complicated, the actual functions that do it in the Wolfram Language are perfectly easy to understand. Throughout the book, I try to keep things as simple as possible.
Functional Programming The next few sections tackle the important and incredibly powerful topic of functional programming.
In the past, functional programming tended to be viewed as a sophisticated topic—and certainly not something to teach people who are first learning about programming. I start by just talking more abstractly about the process of applying a function.
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Mathematica is not associated with Mathematica Policy Research, Inc. Printed in the United States of America. About the Author Stephen Wolfram is the creator of Mathematica, and a well-known scientist. He is widely regarded as the most important innovator in technical computing today, as well as one of the world's most original research scientists.
Born in London in , he was educated at Eton, Oxford and Caltech. He published his first scientific paper at the age of fifteen, and had received his PhD in theoretical physics from Caltech by the age of twenty. Wolfram's early scientific work was mainly in high-energy physics, quantum field theory and cosmology, and included several now-classic results.
Having started to use computers in , Wolfram rapidly became a leader in the emerging field of scientific computing, and in he began the construction of SMP—the first modern computer algebra system—which he released commercially in In recognition of his early work in physics and computing, Wolfram became in the youngest recipient of a MacArthur Prize Fellowship. Late in , Wolfram then set out on an ambitious new direction in science: to develop a general theory of complexity in nature.
Wolfram's key idea was to use computer experiments to study the behavior of simple computer programs known as cellular automata. And in he made the first in a series of startling discoveries about the origins of complexity.
Through the mids, Wolfram continued his work on complexity, discovering a number of fundamental connections between computation and nature, and inventing such concepts as computational irreducibility. Wolfram's work led to a wide range of applications—and provided the main scientific foundations for the popular movements known as complexity theory and artificial life. Wolfram himself used his ideas to develop a new randomness generation system and a new approach to computational fluid dynamics—both of which are now in widespread use.
Following his scientific work on complex systems research, Wolfram in founded the first research center and first journal in the field. Wolfram began the development of Mathematica in late The first version of Mathematica was released on June 23, , and was immediately hailed as a major advance in computing. In the years that followed, the popularity of Mathematica grew rapidly, and Wolfram Research became established as a world leader in the software industry, widely recognized for excellence in both technology and business.
Wolfram has been president and CEO of Wolfram Research since its inception, and continues to be personally responsible for the overall design of its core technology.
Following the release of Mathematica Version 2 in , Wolfram began to divide his time between Mathematica development and scientific research. Building on his work from the mids, and now with Mathematica as a tool, Wolfram made a rapid succession of major new discoveries.
By the mids his discoveries led him to develop a fundamentally new conceptual framework, which he then spent the remainder of the s applying not only to new kinds of questions, but also to many existing foundational problems in physics, biology, computer science, mathematics and several other fields.
After more than ten years of highly concentrated work, Wolfram finally described his achievements in his page book A New Kind of Science.
Released on May 14, , the book was widely acclaimed and immediately became a bestseller. Its publication has been seen as initiating a paradigm shift of historic importance in science.