Typesetting Mathematics with LaTeX

By Mark G. Eramian
290
2026

Description

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.

About Author

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.

Table of Content

Preface
Chapter 1. Introduction to LaTeX and Mathematical Typesetting

Understanding LaTeX
History and Evolution of LaTeX
Installing and Using LaTeX (TeX Live, MikTeX, Overleaf)
Basic Document Structure
Mathematical Typesetting vs Word Processing

Chapter 2. Symbols and Characters in LaTeX
Greek Letters
Mathematical Operators
Relation Symbols (=, ≠, <, >, etc.)
Arrow Symbols
Miscellaneous Symbols (ℝ, ℕ, ℤ, etc.)

Chapter 3. Equations and Environments
Equation Environment
Align and align* for Multiple Equations
Multline, gather, and split
Numbering and Referencing Equations
Eqnarray in LaTeX
Tagging Equation Manually

Chapter 4. Superscripts, Subscripts, and Fractions
Using Superscripts (^) and Subscripts (_)
Unicode subscripts and Superscripts
Braces for Grouping Expressions
Fractions with\frac and \ dfrac
Binomial and Multinomial Coefficients

Chapter 5. Brackets, Delimiters, and Sizing
Basic Brackets: (), [], {}
Angle Brackets and Absolute Values
Using \Left and \Right for Dynamic Sizing
Grouping with Invisible Delimiters
Custom Delimiters (\langle, \lfloor, etc.)
Chapter 6. Matrices and Arrays
Matrix Environments (matrix, pmatrix, bmatrix, etc.)
Augmented Matrices
array Environment for Custom Layout
Horizontal and Vertical Lines in Matrices
Aligning Text within Matrices

Chapter 7. Functions and Calculus
Standard Functions (\sin, \cos, \log, etc.)
Limits and Continuity
Derivatives and Higher Derivatives
Partial Derivatives
Integrals (Definite and Indefinite)
Multiple Integrals

Chapter 8. Vectors, Sets, and Logic
Set Notation and Operations
Defining Sets and Intervals
Logic Symbols and Expressions
Vector Notation (Bold, Arrows)

Chapter 9. Theorems and Proofs
Theorem-Like Environments (theorem, lemma, corollary)
Defining Custom Theorem Styles
Proof Environment and QED Symbol
Referencing Theorems and Lemmas
Numbering Theorems by Section

Bibliography