E-Book Overview
For more than 25 years, Mathematica has been the principal computation environment for millions of innovators, educators, students, and others around the world. This book is an introduction to Mathematica. The goal is to provide a hands-on experience introducing the breadth of Mathematica with a focus on ease of use. Readers get detailed instruction with examples for interactive learning and end-of-chapter exercises. Each chapter also contains authors' tips from their combined 50+ years of Mathematica use.
E-Book Content
HANDS-ON START TO WOLFRAM MATHEMATICA ® and Programming with the Wolfram Language™ SECOND EDITION Cliff Hastings Kelvin Mischo Michael Morrison Champaign ����� �� �������� Introduction vii ���� � THE COMPLETE OVERVIEW 1 Chapter 1 The Very Basics 3 Chapter 2 A Sample Project in Mathematica 11 Chapter 3 Input and Output 21 Chapter 4 Word Processing and Typesetting 43 Chapter 5 Presenting with Slide Shows 59 Chapter 6 Fundamentals of the Wolfram Language 73 Chapter 7 Creating Interactive Models with a Single Command 93 Chapter 8 Sharing Mathematica Notebooks 115 Chapter 9 Finding Help 125 ���� �� EXTENDING KNOWLEDGE 133 Chapter 10 2D and 3D Graphics 135 Chapter 11 Visualizing Data 157 Chapter 12 Styling and Customizing Graphics 179 Chapter 13 Creating Figures and Diagrams with Graphics Primitives 213 Chapter 14 Algebraic Manipulation and Equation Solving 233 Chapter 15 Calculus 245 Chapter 16 Differential Equations 261 Chapter 17 Linear Algebra 271 Chapter 18 Probability and Statistics 289 Chapter 19 Importing and Exporting Data 305 Chapter 20 Data Filtering and Manipulation 327 Chapter 21 Working with Curated Data 359 Chapter 22 Using Wolfram|Alpha Data in Mathematica 393 Chapter 23 Statistical Functionality for Data Analysis 419 Chapter 24 Creating Programs 437 Chapter 25 Creating Parallel and GPU Programs 459 Index 477 INTRODUCTION How to Use This Book Create Examples while Reading This book is meant to be an active companion during the process of learning how to use Mathematica® . The main body of the text will certainly provide insights into how Mathematica works, but the examples should be retyped as a starting point for individual exploration. Each chapter contains discussion, tips and a description of Mathematica functionality, along with actual examples that serve as starting points. Each chapter ends with additional exercises to emphasize comprehension, which can be used as an assignment to students or simply to work through on your own. No matter what format this book is viewed in, it is recommended that readers have Mathematica on the desktop or Mathematica Online™ immediately accessible to type the examples and work through the exercises. It is recommended that as readers work through the book, they save a new file for each chapter in Wolfram Notebook™ format (.nb), either locally or in the Wolfram Cloud™ , for future reference. Any text in this type of styled box is meant to be a tip by the authors. The advice is meant to pass along experience gained from teaching thousands of people how to use Mathematica. Part I: The Complete Overview Is Required Reading All new Mathematica users should work through chapters one through nine first to obtain the necessary basis of knowledge for the rest of the book. These chapters will