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A must read for teachers of mathematics! The perrennial question, "When will I ever use this stuff," prompts a parent to look deeply into his son's math program. In his search for the scope and meaning of "stuff," he finds that the subject of math is totally unlike any other high school subject. Also apparent is that promoted reforms whether politically motivated, profit driven, or theoretically rooted in educational psychology, good or bad, generally have a poor long term success rate. The semi-fictional, often-humorous style of "Math Stuff" provides a multi-dimensional view of the diverse elements of reform that, to be effective, must be jointly addressed. Taking a cue from a good math teacher, the book does not give the answers but rather suggests what to think about while determining them.
Math, so often a mystery to children, is simply explained in I Wish I Knew That Math. With clear, commonsense explanations of mathematical concepts and fun and interesting applications, this book is a great way to increase your understanding of math. The concepts addressed include, but are certainly not limited to: Basic operations – addition, subtraction, multiplication and division The math behind money The connections between math and music Irrational numbers – Why did Pythagoras have one of his followers killed just for talking about the square root of 2? The value of zero Angles – from acute, all the way to reflexive Coordinates and the Cartesian plane Probability – What is the likelihood of being struck by lightning? Logic – induction, deduction and Sherlock Holmes Computers and algorithms Code breaking – from ancient Rome to super computers With its readable style and engaging examples, I Wish I Knew That: Math can give children a head start or a helping hand in their understanding of math. Even grownups could learn a thing or two that they may have forgotten or maybe things they never learned at all!
This little book makes serious math simple—with more than 120 laws, theorems, paradoxes, and more explained in jargon-free terms. The Little Book of Mathematical Principles provides simple, clear explanations for the principles, equations, paradoxes, laws, and theorems that form the basis of modern mathematics. It is a refreshingly engaging tour of Fibonacci numbers, Euclid's Elements, and Zeno's paradoxes, as well as other fundamental principles such as chaos theory, game theory, and the game of life. Renowned mathematics author Dr. Robert Solomon simplifies the ancient discipline of mathematics and provides fascinating answers to intriguing questions, such as: What is the greatest pyramid?, What is a perfect number?, and Is there a theory for stacking oranges?
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye. In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor). Mr. Seki teaches Noriko how to: –Use differentiation to understand a function's rate of change –Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral –Integrate and differentiate trigonometric and other complicated functions –Use multivariate calculus and partial differentiation to deal with tricky functions –Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus. This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.
Math and art, as different as night and day, right? Wrong! This is Not a Math Book shows how math can be beautiful and art can be numerical. Amazing patterns with a mathematical basis will be revealed as you follow the simple activity instructions. And you'll learn incredible math facts as you draw the beautiful designs. A real eye-opener for kids of all ages with an artistic bent who think that math is dry and boring, while math enthusiasts will discover new ways to be creative.