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# Mathematics

## Hypergeometric Functions: From Euler to Appell and Beyond

Hypergeometric series appeared in the mid-seventeenth century; since then, they have played an important role in the development of mathematical and physical theories. Most of the elementary and special functions are members of the large hypergeometric class.

## Get Down to Business with Finite Mathematics in Wolfram Language

“There is every reason to expect that the various social sciences will serve as incentives for the development of great new branches of mathematics and that some day the theoretical social scientist will have to know more mathematics than the physicist needs to know today.”

John G. Kemeny, first author of the original textbook on finite mathematics and co-inventor of the BASIC programming language

Finite mathematics gives students a mathematical toolkit used in fields as diverse as business, economics, sociology and biology while covering techniques that are logically distinct from calculus.

## Don’t Be Discreet and Learn Discrete Mathematics with Wolfram Language

“The spread of computers and the internet will put jobs in two categories. People who tell computers what to do, and people who are told by computers what to do.” Marc Andreessen, inventor of the Netscape browser

## Learn Multivariable Calculus through Incredible Visualizations with Wolfram Language

Multivariable calculus extends calculus concepts to functions of several variables and is an essential tool for modeling and regression analysis in economics, engineering, data science and other fields. Learning multivariable calculus is also the first step toward advanced calculus and follows single-variable calculus courses. Wolfram Language provides world-class functionality for the computation and visualization of concepts, which makes this elegant body of mathematical knowledge easy and fun to learn!

## Expand Your Understanding of Statistics with Wolfram Language

Statistics is the mathematical discipline dealing with all stages of data analysis, from question design and data collection to analyzing and presenting results. It is an important field for analyzing and understanding data from scientific research and industry. Data-driven decisions are a critical part of modern business, allowing companies to use data and computational analyses to guide their choices and direction, rather than subjective measures like intuition.

## Stack the Odds in Your Favor and Master Probability with Wolfram Language

"I believe that we do not know anything for certain, but everything probably."Christiaan Huygens

Have you ever wondered how health insurance premiums are calculated or why healthcare is so expensive? Or what led to the financial crisis of 2008? Or whether nuclear power is safe? The answers to these questions require an understanding of probability, which is the best tool that we have for coping with an uncertain world. In fact, an understanding of probability is required for professionals in a large number of fields, including data science, finance, engineering, biology, chemistry, medicine and actuarial science.

## Active Learning with Wolfram|Alpha Notebook Edition

As you may know from your own experience (or perhaps from the literature on education), passively receiving information does not lead to new knowledge in the same way that active participation in inquiry leads to new knowledge. Active learning describes instructional methods that engage students in the learning process. Student participation in the classroom typically leads to deeper knowledge, more developed critical thinking skills and increased motivation to continue learning. In this post, you will see example activities demonstrating how Wolfram|Alpha Notebook Edition can support active learning methods in your classroom.