Author Profile

Mark G. Eramian received the degrees (Hons.) in computer science and geophysics and the Ph.D. degree in computer science from the University of Western Ontario, London, ON, Canada, in 1997 and 2002, respectively. He has been a Faculty Member with the Department of Computer Science, University of Saskatchewan, Saskatoon, SK, Canada, since 2002, where he is currently an Associate Professor. His research has been in the area of image processing and computer vision with a particular interest in image segmentation.

About The Book

The LaTeX typesetting system is free, and runs on just about any operating system. It produces book-quality output, and is the best system in the world for typesetting mathematics. This book shows you: - How to typeset mathematics beautifully, whether a simple equation or a complex mathematical treatise. This book will appeal to anybody using math in documents: professionals as well as college staff and students, in engineering economics, the sciences, statistics, computer science, and of course mathematics. A short, well-written book that covers the material essential for learning LaTeX. It includes incisive examples that teach LaTeX in a powerful yet abbreviated fashion. This is the book to have if you don't want to wade through extraneous material. It includes the following crucial features: numerous examples of widely used mathematical expressions; complete documents illustrating the creation of articles, reports, presentations, and posters; troubleshooting tips to help you pinpoint an error; details of how to set up an index and a bibliography; and information about online LaTeX resources. This book will appeal to anybody using math in documents: professionals as well as college staff and students, in engineering economics, the sciences, statistics, computer science, and of course mathematics. Typesetting Mathematics with LaTeX involves using a high-quality typesetting system to format mathematical expressions and documents. LaTeX is widely used in academia for producing scientific papers, theses and books due to its ability to handle complex mathematical notation with precision and elegance. To typeset mathematics in LaTeX, you write your content in a plain text editor, using LaTeX commands to specify mathematical symbols and structures. LaTeX then compiles this text into a professionally formatted document. LaTeX supports a wide range of mathematical symbols and environments, making it ideal for creating equations, matrices and other mathematical constructs. Its robust handling of references, cross-referencing, and bibliographies further enhances its utility for technical writing. LaTeX ensures consistency and accuracy in mathematical formatting, making it a preferred choice for academic and scientic publications. The book aims to shed light on some of the unexplored aspects of typesetting mathematics with LaTeX.

Table of Contents

Preface....................................................................................................................... v
Chapter 1. Introduction to LaTeX and Mathematical Typesetting...................1
} Understanding LaTeX.............................................................................. 3
} History and Evolution of LaTeX...............................................................8
} Installing and Using LaTeX (TeX Live, MikTeX, Overleaf)......................14
} Basic Document Structure......................................................................19
} Mathematical Typesetting vs Word Processing................................... 28
Chapter 2. Symbols and Characters in LaTeX......................................................32
} Greek Letters.........................................................................................34
} Mathematical Operators.......................................................................38
} Relation Symbols (=, ≠, <, >, etc.)...........................................................41
} Arrow Symbols.......................................................................................48
} Miscellaneous Symbols (ℝ, ℕ, ℤ, etc.)...................................................50
Chapter 3. Equations and Environments..............................................................54
} Equation Environment...........................................................................56
} Align and align* for Multiple Equations................................................60
} Multline, gather, and split..................................................................... 74
} Numbering and Referencing Equations...............................................78
} Eqnarray in LaTeX...................................................................................83
} Tagging Equation Manually...................................................................87
Chapter 4. Superscripts, Subscripts, and Fractions............................................94
} Using Superscripts (^) and Subscripts (_)............................................96
} Unicode subscripts and Superscripts..................................................102
} Braces for Grouping Expressions........................................................ 106
} Fractions with\frac and \ dfrac............................................................. 113
} Binomial and Multinomial Coefficients................................................ 116
Chapter 5. Brackets, Delimiters, and Sizing...................................................... 126
} Basic Brackets: (), [], {}.........................................................................128
} Angle Brackets and Absolute Values...................................................138
} Using \Left and \Right for Dynamic Sizing.......................................... 149
} Grouping with Invisible Delimiters.......................................................152
} Custom Delimiters (\langle, \lfloor, etc.)..............................................155
Contents
Chapter 6. Matrices and Arrays............................................................................. 160
} Matrix Environments (matrix, pmatrix, bmatrix, etc.).......................162
} Augmented Matrices............................................................................ 172
} array Environment for Custom Layout................................................176
} Horizontal and Vertical Lines in Matrices........................................... 180
} Aligning Text within Matrices...............................................................183
Chapter 7. Functions and Calculus...................................................................... 203
} Standard Functions (\sin, \cos, \log, etc.)........................................... 205
} Limits and Continuity........................................................................... 207
} Derivatives and Higher Derivatives...................................................... 211
} Partial Derivatives.................................................................................214
} Integrals (Definite and Indefinite).......................................................218
} Multiple Integrals..................................................................................222
Chapter 8. Vectors, Sets, and Logic...................................................................... 235
} Set Notation and Operations.............................................................. 237
} Defining Sets and Intervals.................................................................. 239
} Logic Symbols and Expressions.......................................................... 242
} Vector Notation (Bold, Arrows).......................................................... 247
Chapter 9. Theorems and Proofs.......................................................................... 255
} Theorem-Like Environments (theorem, lemma, corollary)............... 257
} Defining Custom Theorem Styles.........................................................261
} Proof Environment and QED Symbol.................................................. 265
} Referencing Theorems and Lemmas..................................................268
} Numbering Theorems by Section........................................................272
Bibliography....................................................................................................... 275