The Weird And Wonderful World Of Mathematical Mysteries
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The Weird and Wonderful World of Mathematical Mysteries by James J. Asher Pdf
When you read little know secrets about ordinary people like Einstein, Descartes, and Newton who became famous, you will wish that you could go back to school to study science and mathematics. Inspirational stories that will be enjoyed by everyone. As a bonus: The author reveals the Solution to a 2,000 year old mathematical mystery that baffled everyone including Euclid, author of Elements, the second best-selling book in history. Explained in plain English. The author, Dr. James J. Asher, is best known worldwide by language instructors for TPR (the Total Physical Response), a powerful linguistic tool developed through 20 years of his meticulous research at San Jose State University, founded in 1857 as the historic first public university in California.
Professor Stewart's Incredible Numbers by Ian Stewart Pdf
At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.
Numbers create the structure to our universe. Without numbers, computers would not work and cars would not go. There would be no way to quantify things. You wouldn't be able to ask "How many?" or "How much?" We would not understand time or distance. Sports records wouldn't matter! DK's Go Figure! is a math book filled with the weird and wonderful side of math and numbers. Discover why there are 60 minutes in an hour, why daisies have to have 34, 55, or 89 petals, and why finding a prime number could make you a millionaire. Go Figure! is also packed with activities that children can try out on their own or with friends, including brainteasers, magic tricks, and things to make, while also learning about the simple puzzles that stumped the world's brainiest mathematicians for centuries. Go Figure! is a fun and quirky look at the magical world of numbers, without the effort of a math textbook. Reviews: "A dynamic book filled with puzzles and problems to solve." - School Library Journal "A totally cool book about numbers by Johnny Ball convinces young readers that math is far from boring." - Think & Discover "Give it to teachers at many levels, who will want to borrow from Ball's pedagogical toolbox." - Booklist
Computable Foundations for Economics by K. Vela Velupillai Pdf
Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.
Think of a number between one and ten No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like p which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the square root of minus two and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed. And even some apparently common-or-garden integers such as 37 have special properties. Adventures In Mathematics takes a tour of this mind-blowing but beautiful world of numbers and the mathematical rules that connect them. Find out mathematicians' favourite numbers, and the ones they are afraid of (spoiler: it isn't 13). Discover the incredible connection between numbers and the rules of nature. And learn some amazing mathematical tricks that will keep you amused for hours.
A History of Women in Mathematics by Dale DeBakcsy Pdf
From ancient Greece to medieval Baghdad, from Revolutionary France to China's Qing Dynasty, women mathematicians have worked alongside men to a degree that was denied them in most other fields of scientific inquiry. Locked out of biological studies first by restrictions on their freedom of travel and later because of concerns that they would be corrupted by evolutionary thought, effectively barred from experimental physics for centuries through lack of access to specialized equipment, and inconsistently permitted a medical education, women have, for three thousand years and more, been a steady presence during every great mathematical era. They have contributed to the fundamentals of geometry and the expansion of algebra from the earliest days of those disciplines, and stepped in, on multiple occasions, to save the mathematical traditions of their home countries from death by ossification. They have guided us through the twisted realms of non-Euclidean space, gifted us the mathematical models we need to understand the behavior of the metals of our buildings and the soils we construct them upon, and given us an at times chilling view into the fates of super-massive systems over deep time. A History of Women in Mathematics, the first comprehensive account of women's role in mathematics in 35 years, tells the stories of over a hundred women, some of whom had to go to the lengths of lying about their gender in correspondence, or secrete themselves behind screens during lectures to access the mathematical resources that their male counterparts took for granted, but many of whom had positions of academic honor and international prestige that women in other fields would have to wait centuries to attain. From Theano of Croton to Rachel Riley, here are the tales of the women who have illuminated and demystified the profound structures upon which our reality is built, with stones of number and mortar of imagination.
Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIES New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.
A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe.
How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself.
The bizarre beasts, incredible places, and peculiar phenomenons featured in this mind-blowing compendium are not just really weird - they're really real! With more than 125,000 copies sold worldwide, this wacky encyclopedia explores our world's most exciting oddities. Did you know there's a plant that eats mice? Or that you can dip your toe in a rainbow-colored river? From fiery tornadoes flying across the sky to huge sinkholes eating up the earth, each example is illustrated with jaw-dropping images and handy fast facts that provide the explanations behind the stories. Whether it's geography, people, places, animals, plants, or weather, Strange But True! is the ideal book for curious young minds who are fascinated by our weird and wonderful world.
Professor Stewart's Cabinet of Mathematical Curiosities by Ian Stewart Pdf
School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincar Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...
The Restless Cell by Christina Hueschen,Rob Phillips Pdf
An essential introduction to the physics of active matter and its application to questions in biology In recent decades, the theory of active matter has emerged as a powerful tool for exploring the differences between living and nonliving states of matter. The Restless Cell provides a self-contained, quantitative description of how the continuum theory of matter has been generalized to account for the complex and sometimes counterintuitive behaviors of living materials. Christina Hueschen and Rob Phillips begin by illustrating how classical field theory has been used by physicists to describe the transport of matter by diffusion, the elastic deformations of solids, and the flow of fluids. Drawing on physical insights from the study of diffusion, they introduce readers to the continuum theory protocol—a step-by-step framework for developing equations that describe matter as a continuum—and show how these methods and concepts can be generalized to the study of living, energy-consuming matter. Hueschen and Phillips then present a range of engaging biological case studies across scales, such as the symmetry breaking that occurs in developing embryos, the perpetual flows that take place in giant algal cells, and the herding of wildebeest on the plains of the Serengeti. An essential resource for students and researchers in biological physics and quantitative biology, The Restless Cell gives complete derivations of all calculations and features illustrations by Nigel Orme that seamlessly bridge conceptual models and continuum descriptions of living matter.
