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50 mathematical ideas you really need to know / by Crilly, A. J.(CARDINAL)357854;
Zero -- Number systems -- Fractions -- Squares and square roots -- pi -- e -- Infinity -- Imaginary numbers -- Primes -- Perfect numbers -- Fibonacci numbers -- Golden rectangles -- Pascal's triangle -- Algebra -- Euclid's algorithm -- Logic -- Proof -- Sets -- Calculus -- Constructions -- Triangles -- Curves -- Topology -- Dimension -- Fractals -- Chaos -- The parallel postulate -- Discrete geometry -- Graphs -- The four-colour problem -- Probability -- Baye's theory -- The birthday problem -- Distributions -- The normal curve -- Connecting data -- Genetics -- Groups -- Matrices -- Codes -- Advanced counting -- Magic squares -- Latin squares -- Money mathematics -- The diet problem -- The travelling salesperson -- Game theory -- Relativity -- Fermat's last theorem -- The Riemann hypothesis.
Subjects: Mathematics.;
Available copies: 0 / Total copies: 1
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Visions of infinity : the great mathematical problems / by Stewart, Ian,1945-(CARDINAL)334292;
Includes bibliographical references (pages 305-324) and index.Great problems -- Prime territory : Goldbach Conjecture -- The puzzle of pi : squaring the circle -- Mapmaking mysteries : Four Color theorem -- Sphereful symmetry : Kepler Conjecture -- New solutions for old : Mordell Conjecture -- Inadequate margins : Fermat's Last Theorem -- Orbital chaos : Three-body problem -- Patterns in prime : Riemann Hypothesis -- What shape is a sphere? : Poincaré Conjecture -- They can't all be easy : P/NP problem -- Fluid thinking : Navier-Stokes Equation -- Quantum conundrum : Mass Gap Hypothesis -- Diophantine dreams : Birch-Swinnerton-Dyer Conjecture -- Complex cycles : Hodge Conjecture -- Where next? -- Twelve for the future."Overview of the most formidable problems mathematicians have vanquished, and those that vex them still"--Dust jacket flap.
Subjects: Mathematics.; Number theory.;
Available copies: 10 / Total copies: 10
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Chance : a guide to gambling, love, the stock market & just about anything else / by Aczel, Amir D.(CARDINAL)768191;
Includes bibliographical references.Introduction -- 1. What is probability? -- 2. Measuring the probability -- 3. The law of unions -- 4. Independence of events -- 5. Subjective probability -- 6. The complement of an event, and the union of independent events -- 7. Random walks and the gambler's ruin -- 8. What is randomness? -- 9. Pascal's triangle -- 10. The inspection paradox -- 11. The birthday problem-- 12. Coincidences -- 13. How to succeed in love (find the best apartment, or adopt the best puppy) -- 14. How to make decisions under uncertainty -- 15. Game strategies -- 16. Bayes's theorem -- 17. The normal curve -- 18. Understanding the presidential election (and other) polls -- 19. Conclusion -- A few problems... -- Answers.Chance defines our life. Will you get the job, the lover, the money? Now Amir Aczel, in this slim book modeled on his very successful Fermat's Last Theorem, gives readers the tools to minimize, or maximize, chance's effect on their lives. Chance marks Aczel's return to his preferred field: the popularization of mathematics. Here, Aczel explores probability theory and its daily, practical applications, while along the way relating stories of inveterate gamblers who also happen to be mathematical geniuses. With the clarity of the statistician he once was, Aczel analyzes what is commonly known as luck. Alongside chapters on Surprising Birthday Problem, Coincidences, and How to Make Great Decisions are a history of probability theory and anecdotes of its daily applications.
Subjects: Chance.; Probabilities.;
Available copies: 5 / Total copies: 5
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The joy of thinking [videorecording] : the beauty and power of classical mathematical ideas / by Burger, Edward B.,1963-(CARDINAL)702196; Starbird, Michael.(CARDINAL)733893; Perlmutter, Alvin H.(CARDINAL)684227; Teaching Company.(CARDINAL)349444;
Part 1: Great ideas that bring our world into focus ; How many? Counting surprises ; Fermat's last theorem and the allure of number ; Pining for nature's numbers ; Sizing up the Fibonacci numbers ; Sexiest rectangle ; Hidden beauty of the golden rectangle lecture ; Pythagorean theorem and geography of ellipses ; Not-so-platonic relationships in platonic solids ; Hunting for a sixth platonic solid ; Is there a fourth dimension? Can we see it? ; Invisible art of the fourth dimension -- Part 2: A twisted idea : the Mobius band ; One-sided, sealed surface : the Klein bottle ; Ordinary origami : creating beautiful patterns ; Unfolding paper to reveal a fiery fractal ; Fractals : infinitely complex creations ; Fractal frauds of nature ; Chance surprises : measuring uncertainty ; Door number two or door number three? ; Great expectations--weighing the uncertain future ; Random thoughts : randomness in our world ; How surprising are surprising coincidences? ; Life lessons learned from mathematical thinking.Lecturers: Dr. Edward B. Burger of Williams College and Michael Seabird of University of Texas at Austin.Discover classical mathematics as an artistic and creative realm that contains some of the greatest ideas of human history, ideas that have shaped cultures. Explore the fourth dimension, coincidences, fractals, the allure of number and geometry, in understandable terms. No formulas, problems, equations, techniques and drills that remind us of school, but thinking that opens doors and minds and become an endless frontier of ideas to explore.DVD.
Subjects: Video recordings.; Mathematics.;
Available copies: 3 / Total copies: 3
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Magical mathematics : the mathematical ideas that animate great magic tricks / by Diaconis, Persi.(CARDINAL)777443; Graham, Ron,1950-(CARDINAL)486115;
Includes bibliographical references (pages 231-237) and index.Graham, Ron,"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"--
Subjects: Card tricks;
Available copies: 5 / Total copies: 5
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The Simpsons and their mathematical secrets / by Singh, Simon,author.(CARDINAL)643460;
Includes bibliographical references (page 235) and index."Simon Singh, author of the bestsellers Fermat's Enigma, The Code Book, and The Big Bang, offers fascinating new insights into the celebrated television series The Simpsons: That the show drip-feeds morsels of number theory into the minds of its viewers--indeed, that there are so many mathematical references in the show, and in its sister program, Futurama, that they could form the basis of an entire university course. Recounting memorable episodes from "Bart the Genius" to "Homer3," Singh brings alive intriguing and meaningful mathematical concepts--ranging from the mathematics of pi and the paradox of infinity to the origin of numbers and the most profound outstanding problems that haunt today's generation of mathematicians. In the process, he illuminates key moments in the history of mathematics, and introduces us to The Simpsons' brilliant writing team--the likes of David X. Cohen, Al Jean, Jeff Westbrook, and Stewart Burns, all of whom have various advanced degrees in mathematics, physics, and other sciences. Based on interviews with the writers of The Simpsons and replete with images from the shows, facsimiles of scripts, paintings and drawings, and other imagery, The Simpsons and Their Mathematical Secrets will give anyone who reads it an entirely new insight into the most successful show in television history"--Provided by publisher.
Subjects: Trivia and miscellanea.; Simpsons (Television program); Mathematics;
Available copies: 2 / Total copies: 2
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Dr. Euler's fabulous formula : cures many mathematical ills / by Nahin, Paul J.(CARDINAL)765163;
Includes bibliographical references (pages 347-374) and index.
Subjects: Numbers, Complex.; Euler's numbers.; Mathematics;
Available copies: 0 / Total copies: 1
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