**Author**: Tony Crilly

**Publisher:** Booksales

**ISBN:** 9781847241474

**Size**: 73.78 MB

**Format:** PDF, Mobi

**Category : **Mathematics

**Languages : **en

**Pages : **208

**View:** 6010

"Who invented zero? Why 60 seconds in a minute? How big is infinity? Where do parallel lines meet? And can a butterfly's wings really cause a storm on the far side of the world? In 50 Mathematical Ideas You Really Need to Know, Professor Tony Crilly explains in 50 clear and concise essays the mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us. Beginning with zero itself and concluding with the last great unsolved problem, 50 Mathematical Ideas introduces the origins of mathematics, from Egyptian fractions to Roman numerals; explains the near-mystical significance of pi and primes, Fibonacci numbers and the golden ratio; tells you the things they didn't at school - what calculus, statistics and algebra can actually do, and the very real uses of imaginary numbers; illuminates the big Ideas of relativity, chaos theory, fractals, genetics and hyperspace; reveals the unspoken reasoning behind Sudoku and code cracking, lotteries and gambling, money management and compound interest; explores the latest mind-shattering developments, including the solving of Fermat's last theorem and the million-dollar question of the Riemann hypothesis. Packed with diagrams, examples and anecdotes, 50 Mathematical Ideas is the perfect overview of this often daunting but always essential subject. For once, mathematics couldn't be simpler."--Publisher's description.

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**Author**: Persi Diaconis

**Publisher:** Princeton University Press

**ISBN:** 0691169772

**Size**: 39.25 MB

**Format:** PDF, ePub, Mobi

**Category : **Crafts & Hobbies

**Languages : **en

**Pages : **264

**View:** 2254

"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-

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**Author**: Jo Boaler

**Publisher:** Heinemann

**ISBN:**
**Size**: 10.90 MB

**Format:** PDF, ePub

**Category : **Education

**Languages : **en

**Pages : **127

**View:** 1827

In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.

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**Author**: J. Maynard Smith

**Publisher:** CUP Archive

**ISBN:**
**Size**: 16.57 MB

**Format:** PDF

**Category : **
**Languages : **en

**Pages : **
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**Author**:

**Publisher:**
**ISBN:**
**Size**: 66.94 MB

**Format:** PDF, ePub, Docs

**Category : **
**Languages : **en

**Pages : **
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