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Author: Yuri B. Chernyak
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 212
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Book Description
The brainy and infuriatingly fun-to-solve problems that have kept the best Russian math and physics students biting their pencils as far back as the time of the czars.
Author: Yuri B. Chernyak
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 212
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Book Description
The brainy and infuriatingly fun-to-solve problems that have kept the best Russian math and physics students biting their pencils as far back as the time of the czars.
Author: Douglas B. West
Publisher: Cambridge University Press
ISBN: 1107058589
Category : Mathematics
Languages : en
Pages : 990
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Book Description
This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.
Author: Thomas A. Orofino, Ph.D.
Publisher: iUniverse
ISBN: 1462023517
Category : Science
Languages : en
Pages : 78
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Book Description
This book is about the Theory of Special Relatively (SR), the introductory parts of which, and other general comments on science and physics preceding it, would be of interest to the general reader. The alternative description of SR proposed and developed in the book is essentially that of Newton’s classical physics, except for the critical additional of a step properly expressing the travel time of light signals conveying information to the observer. The form of that step, in turn, is dictated by the requirements of SR as expressed through its essence, the Lorentz transformation. Conventional interpretations of SR phenomena are as the observer perceives them, in altered descriptions of space and time. The altered versions differ from those associated with the phenomena at the location of the event creating them, because the light signals, conveying the information from source to observer, involve certain travel times of the signals themselves. Thus, until deciphered, they are not a simple representation of times in the event of interest. When the alternative approach to representation of SR developed in this book is applied, the same results as those from the conventional approaches of SR are obtained. The expressions for quantities such as energy and momentum differ from the corresponding quantities in Newton’s model for space and time. The alternative approach in the book simply provides a more intuitive route to and a logical explanation of the relativistic process.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 180
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Book Description
Author: Andrew Chiang-Fung Liu
Publisher: American Mathematical Soc.
ISBN: 0883858304
Category : Education
Languages : en
Pages : 295
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Book Description
Presents the problems and answers for the first 50 years of the Alberta High School Mathematics Competition, up to 2005-2006. Full solutions are provided to those from the Modern period, often supplemented with multiple solutions or additional commentaries.
Author: Clément Deslandes
Publisher: MIT Press
ISBN: 0262373734
Category : Mathematics
Languages : en
Pages : 233
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Book Description
Ingeniously designed mathematical riddles to delight armchair—and seasoned—mathematicians, in high school and beyond. In The Price of Cake, brothers Clément and Guillaume Deslandes have assembled a uniquely rich and accessible collection of mathematical riddles, organized by difficulty and accompanied by unique hand-drawn illustrations. The challenges are exceptional in both their range and their precision. There are no “tricks” here—just good math to test your skills. While any student will be thrilled to encounter fresh presentations of classic conundrums such as Simpson’s paradox, Hilbert's infinite hotel, Monty Hall’s paradox, and Seven Bridges of Königsberg, seasoned solvers will also appreciate challenging original puzzles using the Axiom of Choice and Conway’s Soldiers problem. The Deslandes’ lucid and elegant solutions offer new insights, as they seamlessly connect the skills applied in each problem to broader theoretical revelations. Moreover, as Fields Medalist Cédric Villani writes in his preface, these riddles are much more than just exercises. They capture “a certain dose of decorum and mystery,” and to decipher them will require both imagination and tenacity. To aid you on this journey, the authors provide hints to each puzzle, detailed proofs and solutions, and a series of Math Refreshers to revisit important concepts that are used to arrive at those answers. Entertaining and rigorous in equal measure, The Price of Cake is bound to captivate mathematics enthusiasts and students of all levels.
Author: Yan Kow Cheong
Publisher: MathPlus Publishing
ISBN: 9810854129
Category : Mathematics
Languages : en
Pages : 208
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Book Description
Singapore’s bestselling Mathematical Quickies & Trickies, which has sold over 90,000 copies locally, contains more than 300 nonroutine problems to enhance students’ mathematical problem-solving skills. With many creative worked examples and questions, and with cartoons sprinkled throughout the book, Mathematical Quickies & Trickies would appeal primarily to these audiences: * grades 5-7 students and teachers looking for some fertile trick and tricky questions; * mathletes preparing for local and regional contests and competitions; * problem solvers longing to be challenged by questions whose obvious solutions are never the correct ones for what offhand appears to be true is false. With proper insight, you’ll learn how to solve these tricky problems almost instantly, whose solutions are almost never the correct ones. You need no longer be caught off-guard; instead, you’ll learn to solve these questions confidently—how to tame these counter-intuitive questions into routine ones. Contents 1. Mental Computation I 2. Mental Computation 2 3. Number Series 4. A Tricky Way with Fractions 5. Test Your Calculator Proficiency 6. Simplifying a Complex Fraction 7. Recurring Decimals 8. Is Zero an Even or Odd Integer? 9. Casting Out Nines 10. Be a Calculator Expert 11. Division by 9 12. Number Riddles 13. Ten Steps to be Math Smart 14. Shortcuts a la Trachtenberg 15. Geometrical Quickies 1 16. Geometrical Quickies 2 17. Geometrical Quickies 3 18. (Sugar + Coffee) + Milk = Sugar + (Coffee + Milk) 19. Applications of Number Laws 20. Law of One 21. Distributive Law 22. More Applications of Distributive Law 23. The Joy of Guesstimation 24. Are You a Fermi Disciple? 25. Bravo Singapore 26. Lightning Calculators 27. Geometrical Quickies 4 28. Some Calculator Quickies Answers & Solutions Bibliography & References Type of e-book: Nonfiction, problem solving, recreational, Singapore math, trick questions Audiences: Suitable for Grades 4-7 (or Primary 4-7 levels)
Author: Alex Bellos
Publisher: The Experiment
ISBN: 161519388X
Category : Games & Activities
Languages : en
Pages : 354
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Book Description
Puzzle lovers, rejoice! Bestselling math writer Alex Bellos has a challenge for you: 125 of the world’s best brainteasers from the last two millennia. Armed with logic alone, you’ll detect counterfeit coins, navigate river crossings, and untangle family trees. Then—with just a dash of high school math—you’ll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!) The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle—from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!
Author: John C. Neu
Publisher: American Mathematical Soc.
ISBN: 0821840835
Category : Mathematics
Languages : en
Pages : 282
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Book Description
I have learned a lot from John Neu over the past years, and his book reflects very well his sense of style and purpose. --Walter Craig, McMaster University, Hamilton, Ontario, Canada and Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada John Neu's book presents the basic ideas of fluid mechanics, and of the transport of matter, in a clear and reader-friendly way. Then it proposes a collection of problems, starting with easy ones and gradually leading up to harder ones. Each problem is solved with all the steps explained. In the course of solving these problems, many fundamental methods of analysis are introduced and explained. This is an ideal book for use as a text, or for individual study. --Joseph B. Keller, Stanford University This book presents elementary models of transport in continuous media and a corresponding body of mathematical technique. Physical topics include convection and diffusion as the simplest models of transport; local conservation laws with sources as the general framework of continuum mechanics; ideal fluid as the simplest model of a medium with mass; momentum and energy transport; and finally, free surface waves, in particular, shallow water theory. There is a strong emphasis on dimensional analysis and scaling. Some topics, such as physical similarity and similarity solutions, are traditional. In addition, there are reductions based on scaling, such as incompressible flow as a limit of compressible flow, and shallow water theory derived asymptotically from the full equations of free surface waves. More and deeper examples are presented as problems, including a series of problems that model a tsunami approaching the shore. The problems form an embedded subtext to the book. Each problem is followed by a detailed solution emphasizing process and craftsmanship. The problems express the practice of applied mathematics as the examination and re-examination of simple but essential ideas in many interrelated examples.
Author: Alex Bellos
Publisher: The Experiment
ISBN: 1615197184
Category : Games & Activities
Languages : en
Pages : 288
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Book Description
Put your wits—and survival instincts—to the test! Publisher’s Note: Perilous Problems for Puzzle Lovers was previously published in the UK under the title So You Think You’ve Got Problems? In Perilous Problems for Puzzle Lovers, Alex Bellos collects 125 of the world’s greatest stumpers—many dangerous to your person, and all dangerous to your pride. Brace yourself to wrestle with wordplay, grapple with geometry, and scramble for survival. For example . . . Ten lions and a sheep are in a pen. Any lion who eats the sheep will fall asleep. A sleeping lion will be eaten by another lion, who falls asleep in turn. If the lions are all perfect logicians, what happens? Bellos pairs his fiendish brainteasers with fascinating history, so you’ll meet Alcuin, Sam Loyd, and other puzzle masters of yore—in between deranged despots and wily jailers with an unaccountable taste for riddles. Will you make it out alive? And what about the sheep?
