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This book tells of adventures that took place in the land of Carmorra. The story is told here because, by following these adventures, you can learn differential and integral calculus.—The Introduction to Calculus the Easy Way

*Algebra the Easy Way* (1983), *Trigonometry the Easy Way* (1984) and *Calculus the Easy Way* (1982) are three supplementary textbooks intended to complement a full course of algebra, trigonometry or calculus, respectively. They are intended for students who are having difficulty understanding where the concepts are coming from, but are otherwise motivated enough to get help from an outside source. The books covered by this article were written by Douglas Downing, Ph.D., were illustrated by Susan Detrich, and are available from Barron's Publishing.

What are these books doing on this site, then? Well, as the above quote suggests, the textbooks are written in the format of adventure novels, where the main characters essentially have to derive algebra (respectively trigonometry, calculus) from first principles in order to prevent the Big Bad from taking over the kingdom. Although this probably sounds unbearably corny for a mathematics textbook, it ends up being an excellent pedagogical tool. Instead of simply seeing a new definition at the beginning of a section, then examples, then homework problems, the concepts are introduced in the context of problems where they are needed. Our heroes come across a problem, derive the mathematics it takes to solve the problem, and then flesh out these concepts so they can be ready in case they're attacked again. Even when the context is simply "I challenge you to solve this problem," the new concepts are shown to follow from previous ones in a more-or-less understandable manner.

The series chronology is *Algebra the Easy Way*, then *Trigonometry the Easy Way* and finally *Calculus the Easy Way*. Regarding story, there isn't much referenced from one book to the next, so people who want help with trigonometry but didn't need help with algebra will still get something out of the trig book without reading the algebra book.

Note that Barron's Publishing has other subjects covered in its "_______ the Easy Way" series. However, these other subjects are not told in the form of an adventure novel, and are instead standard supplementary textbooks — not even *Statistics the Easy Way* or *Math the Easy Way*.

The main characters of the series are

- The King: His name is never actually mentioned.
- Marcus Recordis: The Royal Keeper of Records. Often gets into arguments or competitions with the next two characters.
- Professor Stanislavsky: The kingdom's premier pure scientist.
- Alexanderman Trigonometeris: Introduced in
*Trigonometry the Easy Way*, he specializes in triangles and the trigonometric functions. - Gerard Macinius Builder: The head craftsman for the kingdom.
- The Gremlin: The Big Bad, who claims that the heroes' inability to master mathematics will allow him to conquer Carmorra.

### These books provide examples of:

- Alphabet Soup Cans: A rare example in non-interactive media. About half of the math developed is in response to challenges by The Gremlin.
- Baseball Episode: A few of these in
*Algebra*, used to provide examples for word problems. - Black and Nerdy: Trigonometeris is illustrated as a man with African facial features and hair, although he's not given a physical description.
- Card-Carrying Villain: The Gremlin fits the character type, and in
*Algebra,*reveals that he also fulfills this literally. - Formulaic Magic: Played with in Recordis's illustration. Despite not having any magical power, Recordis has the trademark symbol-covered robe and pointy hat of a wizard. Of course, the symbols on Recordis's robe are numbers and mathematical symbols.
- Gentle Giant: Pal
- Geographic Flexibility: The kingdom of Carmorra adds geographical features as needed for various word problem examples.
- Mood Whiplash: Most of The Gremlin's challenges have no specific penalties for failing; few even have a time limit. Then in Chapter 8 of
*Calculus the Easy Way*, the heroes have three hours to derive the Fundamental Theorem of Integral Calculus; if they fail, the entire country will be destroyed in a fire or flood. - Robe and Wizard Hat: Recordis is depicted wearing robes and a pointy hat covered with mathematical symbols. Oddly enough, these symbols include variables, despite having been designed before the discovery of algebra.
- Welcome Episode: The first chapter of
*Calculus*introduces the narrator to the characters. - What Could Possibly Go Wrong?: Chapter 9 of
*Calculus*starts with Recordis boasting, "Now we can do just about anything!" Shortly thereafter, he tries to impress a count by integrating the function*t*(*x*)=*x*^{-1}. However, they had not yet discovered the exception to the power rule for integration, which leads to an embarrassing problem.