## Outstanding Actuarial Scientists (10 Great Careers)

When you think about finance, you probably think about the stock market, banks or C-suite executives. However, there is a large part of the sector, particularly in the realm of...

## Current Events in Accounting (5 Need-to-Knows)

To those out of the loop, accounting sounds boring and dry. For professionals, it's an industry and field booming with opportunity. Numbers aren't everyone's favorite, and many struggle with math,...

## Current Events in Mathematics (5 Need to Knows)

Current events in mathematics point to a growing field with a diversifying range of utilities and practices. The history of mathematics is an interesting dive into the past, present and...

## Current Events in Programming (5 Must Reads)

To those who don't "speak" the language, programming seems incomprehensible. If you've ever taken a course on HTML or Java, however, you know it's all about the formula. Programming is...

## Confluent Relations (using Reduction Relations)

We discuss confluent relations; in particular, we prove Newman's Lemma: that local confluence, confluence, the Church-Rosser property, and the unique normal forms property are all equivalent for a well-founded relation....

## Well-Founded Relations (and Well-Founded Induction)

Well-Founded induction is a generalization of mathematical induction. Well-Founded Induction Definition. Let $\longrightarrow$ be a relation on $X.$ 1) If $A\subseteq X$ and $a\in A,$ then $a$ is called a...

## Partial Order Relations (Mappings on Ordered Sets)

We discuss many properties of ordered sets including Noetherian ordered sets and order ideals. We also detail monotone mappings and isomorphisms between ordered sets. Ordered Sets Throughout we assume $(X,\geq)$...

## Equivalence Relations (Properties and Closures)

Equivalence Relations We discuss the reflexive, symmetric, and transitive properties and their closures. The relationship between a partition of a set and an equivalence relation on a set is detailed....

## Binary Relations (Types and Properties)

Let $X$ be a set and let $X\times X=\{(a,b): a,b \in X\}.$ A (binary) relation $R$ is a subset of $X\times X$. If $(a,b)\in R$, then we say $a$ is related to $b$...

## Set Theory (Basic Theorems with Many Examples)

We discuss the basics of elementary set theory including set operations such as unions, intersections, complements, and Cartesian products. We also demonstrate how to work with families of sets. For a...

## Strength in Numbers (Book Review)

The book Strength in Numbers: An In-Depth Look at Actuarial Science for Math Enthusiasts by Chloe Hung, lays out the steps from being a math enthusiast to working as an...

## Actuarial Science History (What Do Actuaries Do?)

The history of actuarial science has its roots in ancient times, when insurance was used to manage shipping risk. Today, actuarial science encompasses many fields such as probability theory, finance,...

## 63 Actuarial Science Journals & Magazines (What Are the Differences?)

A list of about 60 actuarial science journals that actuaries may be interested in. These journals can be classified as either actuarial, insurance, or finance journals. Most of these journals are peer-reviewed...

## 40 Actuarial Societies and Organizations (Which Is Right for You?)

Here is a comprehensive list of actuarial societies and organizations. Actuaries are remarkable professionals who generate solutions for complex financial issues. They regularly communicate their work to coworkers who are...

## The Importance of Actuarial Science as a Profession

Actuarial science is concerned with risk analysis and evaluation of possible risk mitigation strategies to cushion business from the risk associated with uncertainties in life. Actuarial science knowledge is useful...

## Current Events in Actuarial Science (6 Must Read)

Actuarial science provides a way to assess risk in finance, insurance, and other areas of business and commerce through statistical analysis. While actuarial science has not changed drastically over the...

## Actuarial Science Topics (Descriptions of Each)

Actuarial science is the field of study that applies statistical and mathematical methods to analyze the risk in finance, insurance, and other professions and industries. Actuarial science utilizes probability and...

## Canonical Forms and Jordan Blocks

We discuss Jordan bases and the fact that an operator can be put into Jordan canonical form if its characteristic and minimal polynomials factor into linear polynomials. We demonstrate this...

## Green’s Theorem (by Example)

Greenâ€™s Theorem for Simply Connected Regions Green's Theorem is named after the mathematician George Green. Theorem. (Green's Theorem) Let $R$ be a simply connected region with a piecewise smooth boundary...

## Probability Density Functions (Applications of Integrals)

Applications of Integrals We will consider the following applications: average value of a function over a region, mass of a lamina, electric charge, moments and center of mass, moments of...