Comprehensive List of Mathematical Symbols: Complete Version

Math Vault

Jun 2020 · Math Vault Publishing

About this eBook

Ever wonder if there's a reference guide out there summarizing most of the symbols used in mathematics, along with contextual examples and LaTeX code so that you can pick up the various topics of mathematics at an unusual speed?

Well now there is! In this jam-packed 75-page eBook, the Comprehensive List of Mathematical Symbols will take you through thousands of symbols in 10+ topics and 6 main categories. Each symbol also comes with their own defining examples, LaTeX codes and links to additional resources, making the eBook both a handy reference and a powerful tool for consolidating one's foundation of mathematics.

Highlights

- Featuring 1000+ of symbols from basic math, algebra, logic, set theory to calculus, analysis, probability and statistics

- Comes with LaTeX code, defining contextual examples and links to additional resources

- Clear. Concise. Straight-to-the-point with no fluff.

- Informative. Engaging. Excellent for shortening the learning/reviewing curve.

Table of Contents

1) Constants

Key Mathematical Numbers

Key Mathematical Sets

Key Mathematical Infinities

Other Key Mathematical Objects

2) Variables

Variables for Numbers

Variables in Geometry

Variables in Logic

Variables in Set Theory

Variables in Linear/Abstract Algebra

Variables in Probability and Statistics

Variables in Calculus

3) Delimiters

Common Delimiters

Other Delimiters

4) Alphabet Letters

Greek Letters Used in Mathematics

Other Greek Letters

5) Operators

Common Operators

Number-related Operators

Common Number-based Operators

Complex-number-based Operators

Function-related Operators

Common Function-based Operators

Elementary Functions

Key Calculus-related Functions and Transforms

Other Key Functions

Operators in Geometry

Operators in Logic

Logical Connectives

Quantifiers

Substitution/Valuation-based Operators

Set-related Operators

Operators in Algebra

Vector-related Operators

Matrix-related Operators

Vector-space-related Operators

Abstract-algebra-related Operators

Operators in Probability and Statistics

Combinatorial Operators

Probability-related Operators

Probability-related Functions

Discrete Probability Distributions

Continuous Probability Distributions and Associated

Functions

Statistical Operators

Operators in Calculus

Operators Related to Sequence, Series and Limit

Derivative-based Operators

Integral-based Operators

6) Relational Symbols

Equality-based Relational Symbols

Comparison-based Relational Symbols

Number-related Relational Symbols

Relational Symbols in Geometry

Relational Symbols in Logic

Set-related Relational Symbols

Relational Symbols in Abstract Algebra

Relational Symbols in Probability and Statistics

Relational Symbols in Calculus

7) Notational Symbols

Common Notational Symbols

Intervals

Notational Symbols in Geometry and Trigonometry

Notational Symbols in Probability and Statistics

Notational Symbols in Calculus

Ratings and reviews

A unique book summarizing most of the symbols used in different fields of mathematics. It's not meant to be used as in-depth textbook of course, but I've found it to be an engaging read nonetheless. The topics covered range from basic K-12 math all the way to calculus and abstract algebra, where each symbol entry comes with example and the symbol's LaTeX code. The design of the book is also quite unique, hence all in all an interesting read.

About the author

Originally founded as a Montreal-based math tutoring agency, Math Vault (mathvault.ca) has since then morphed into a global resource hub for people interested in learning more about higher mathematics. They believe in the pursuit of mathematics for its never-ending fascination — through a holistic examination of both its rigor and beauty.

Over the years, Math Vault has been involved in multiple projects aiming at bridging the gap between lower and higher mathematics, culminating in several digital resources such as:

- The Definitive Guide to Learning Higher Mathematics

- The Comprehensive List of Mathematical Symbols

- The Ultimate LaTeX Reference Guide

- The Higher Math Proficiency Test

Along with other online resources such as:

- The Compendium of Mathematical Symbols

- The Definitive Glossary of Higher Mathematical Jargon

- 10 Commandments of Higher Mathematical Learning

- Math Vault Linear Algebra Ebook Series

In brief, if you're tired of mathematics as some mindless manipulation of symbols, then chances are they might have something which could change your perspective on mathematics! The folks at Math Vault can be reached at mathvault.ca, and on social media everywhere at MathVault as well!