THE STUDY AND PRACTICE OF MODERN MATHEMATICS Introduction How to Learn Mathematics Why Learn Mathematics? Studying Mathematics Homework Assignments and Problem Solving Tests Inspiration How to Write Mathematics What Is the Goal of Mathematical Writing? General Principles of Mathematical Writing Writing Mathematical Sentences Avoiding Errors Writing Mathematical Solutions and Proofs Writing Longer Mathematical Works The Revision Process How to Research Mathematics What Is Mathematical Research? Finding a Research Topic General Advice Taking Basic Steps Fixing Common Problems Using Resources Practicing Good Mathematical Judgment How to Present Mathematics Why Give a Presentation of Mathematics? Preparing Your Talk Do''s and Don''ts Using Technology Answering Questions Publishing Your Research Looking Ahead: Taking Professional Steps What Is It Like Being a Mathematician? Guide to Web Resources A Mathematical Scavenger Hunt Mathematicians Mathematical Concepts Mathematical Challenges Mathematical Culture Mathematical Fun THE TOOLS OF MODERN MATHEMATICS Introduction Getting Started with LaTeX What Is TeX? What Is LaTeX? How to Create LaTeX Files How to Create and Typeset a Simple LaTeX Document How to Add Basic Information to Your Document How to Do Elementary Mathematical Typesetting How to Do Advanced Mathematical Typesetting How to Use Graphics How to Learn More Getting Started with PSTricks What Is PSTricks? How to Make Simple Pictures How to Plot Functions How to Make Pictures with Nodes How to Learn More Getting Started with Beamer What Is Beamer? How to Think in Terms of Frames How to Set up a Beamer Document How to Enhance a Beamer Presentation How to Learn More Getting Started with Mathematica, Maple, and Maxima What Is a Computer Algebra System (CAS)? How to Use a CAS as a Calculator How to Compute Functions How to Make Graphs How to Do Simple Programming How to Learn More Getting Started with MATLAB and Octave What Are MATLAB and Octave? How to Explore Linear Algebra How to Plot a Curve in Two Dimensions How to Plot a Surface in Three Dimensions How to Manipulate the Appearance of Plots Other Considerations How to Learn More Getting Started with R What Is R? How to Use R as a Calculator How to Explore and Describe Data How to Explore Relationships How to Test Hypotheses How to Generate Table Values and Simulate Data How to Make a Plot Ready to Print How to Learn More Getting Started with HTML What Is HTML? How to Create a Simple Web Page How to Add Images to Your Web Pages How to Add Links to Your Web Pages How to Design Your Web Pages How to Organize Your Web Pages How to Learn More Getting Started with Geometer''s Sketchpad and GeoGebra What Are Geometer''s Sketchpad and GeoGebra? How to Use Geometer''s Sketchpad How to Use GeoGebra How to Do More Elaborate Sketches in Geometer''s Sketchpad How to Do More Elaborate Sketches in GeoGebra How to Export Images from Geometer''s Sketchpad and GeoGebra How to Learn More Getting Started with PostScript What Is PostScript? How to Use the Stack How to Make Simple Pictures How to Add Text to Pictures How to Use Programming Constructs How to Add Color to Pictures More Examples How to Learn More Getting Started with Computer Programming Languages Why Program? How to Choose a Language How to Learn More Getting Started with Free and Open Source Software What Is Free and Open Source Software? Why Use Free and Open Source Software? What Is Linux? How to Install Linux Where to Get Linux Applications How Is Linux Familiar? How Is Linux Different? How to Learn More Putting It All Together Bibliography Index Exercises appear at the end of each chapter. t;BR>Fixing Common Problems Using Resources Practicing Good Mathematical Judgment How to Present Mathematics Why Give a Presentation of Mathematics? Preparing Your Talk Do''s and Don''ts Using Technology Answering Questions Publishing Your Research Looking Ahead: Taking Professional Steps What Is It Like Being a Mathematician? Guide to Web Resources A Mathematical Scavenger Hunt Mathematicians Mathematical Concepts Mathematical Challenges Mathematical Culture Mathematical Fun THE TOOLS OF MODERN MATHEMATICS Introduction Getting Started with LaTeX What Is TeX? What Is LaTeX? How to Create LaTeX Files How to Create and Typeset a Simple LaTeX Document How to Add Basic Information to Your Document How to Do Elementary Mathematical Typesetting How to Do Advanced Mathematical Typesetting How to Use Graphics How to Learn More Getting Started with PSTricks What Is PSTricks? How to Make Simple Pictures How to Plot Functions How to Make Pictures with Nodes How to Learn More Getting Started with Beamer What Is Beamer? How to Think in Terms of Frames How to Set up a Beamer Document How to Enhance a Beamer Presentation How to Learn More Getting Started with Mathematica, Maple, and Maxima What Is a Computer Algebra System (CAS)? How to Use a CAS as a Calculator How to Compute Functions How to Make Graphs How to Do Simple Programming How to Learn More Getting Started with MATLAB and Octave What Are MATLAB and Octave? How to Explore Linear Algebra How to Plot a Curve in Two Dimensions How to Plot a Surface in Three Dimensions How to Manipulate the Appearance of Plots Other Considerations How to Learn More Getting Started with R What Is R? How to Use R as a Calculator How to Explore and Describe Data How to Explore Relationships How to Test Hypotheses How to Generate Table Values and Simulate Data How to Make a Plot Ready to Print How to Learn More Getting Started with HTML What Is HTML? How to Create a Simple Web Page How to Add Images to Your Web Pages How to Add Links to Your Web Pages How to Design Your Web Pages How to Organize Your Web Pages How to Learn More Getting Started with Geometer''s Sketchpad and GeoGebra What Are Geometer''s Sketchpad and GeoGebra? How to Use Geometer''s Sketchpad How to Use GeoGebra How to Do More Elaborate Sketches in Geometer''s Sketchpad How to Do More Elaborate Sketches in GeoGebra How to Export Images from Geometer''s Sketchpad and GeoGebra How to Learn More Getting Started with PostScript What Is PostScript? How to Use the Stack How to Make Simple Pictures How to Add Text to Pictures How to Use Programming Constructs How to Add Color to Pictures More Examples How to Learn More Getting Started with Computer Programming Languages Why Program? How to Choose a Language How to Learn More Getting Started with Free and Open Source Software What Is Free and Open Source Software? Why Use Free and Open Source Software? What Is Linux? How to Install Linux Where to Get Linux Applications How Is Linux Familiar? How Is Linux Different? How to Learn More Putting It All Together Bibliography Index Exercises appear at the end of each chapter. hematical Culture Mathematical Fun THE TOOLS OF MODERN MATHEMATICS Introduction Getting Started with LaTeX What Is TeX? What Is LaTeX? How to Create LaTeX Files How to Create and Typeset a Simple LaTeX Document How to Add Basic Information to Your Document How to Do Elementary Mathematical Typesetting How to Do Advanced Mathematical Typesetting How to Use Graphics How to Learn More Getting Started with PSTricks What Is PSTricks? How to Make Simple Pictures How to Plot Functions How to Make Pictures with Nodes How to Learn More Getting Started with Beamer What Is Beamer? How to Think in Terms of Frames How to Set up a Beamer Document How to Enhance a Beamer Presentation How to Learn More Getting Started with Mathematica, Maple, and Maxima What Is a Computer Algebra System (CAS)? How to Use a CAS as a Calculator How to Compute Functions How to Make Graphs How to Do Simple Programming How to Learn More Getting Started with MATLAB and Octave What Are MATLAB and Octave? How to Explore Linear Algebra How to Plot a Curve in Two Dimensions How to Plot a Surface in Three Dimensions How to Manipulate the Appearance of Plots Other Considerations How to Learn More Getting Started with R What Is R? How to Use R as a Calculator How to Explore and Describe Data How to Explore Relationships How to Test Hypotheses How to Generate Table Values and Simulate Data How to Make a Plot Ready to Print How to Learn More Getting Started with HTML What Is.
A Student's Guide to the Study, Practice, and Tools of Modern Mathematics