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?
The Little Book of Scientific Principles, Theories and Things explains 175 laws, principles, equations, theories and things that form the foundations of science. It features all the great names in science, including Pythagoras, Galileo, Newton, Darwin and Einstein, as well as more recent contributors such as Rachel Carson, James Lovelock and Stephen Hawking. This little book presents serious science simply, answering questions like: What is Pythagoras' Theorem? What is the difference between circadian rhythms and the popular concept of biorhythms? What is the Black Hole Theory?
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
The essential beginner's guide to string theory The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory. Steve Gubser begins by explaining Einstein's famous equation E = mc2, quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin's Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book. The Little Book of String Theory is the essential, most up-to-date beginner's guide to this elegant, multidimensional field of physics.
Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
In this beautiful and unique combination of art and science, this stunningly detailed book examines how the rules of science govern the the world around us, from the rooms in our houses to the planet, the solar system and the universe itself! The Universe is inconceivably complex. Its component parts though follow a set of unbreakable laws that have somehow been coded into their very fabric since the beginning of time. These laws play out in different ways at different scales, giving rise to the familiar phenomena of everyday life – as well as the unfamiliar abstract goings-on outside our experience and awareness. Understanding these laws may seem a daunting task, until now. How it All Works illustrates simply how the most interesting and complex named scientific laws and phenomena affect everyone’s daily lives. Using hyper-detailed scene illustrations from the incredible award-winning artist Adam Dant, we start small, with the illustrated science inside your kitchen, before expanding outwards to encompass your garden, street, city, continent, planet, solar system, galaxy and eventually the whole universe. With tiny details pulled out from visually stunning and intricate scene, learn how: Kirchhoff’s Law affects how you charge your phone, Newton’s Law of Cooling helps you make your coffee just the right temperature to drink, How the rules of antimatter are used in hospitals for medical imaging, How Cassie's law keeps ducks dry, How glaciation shapes the ladscapes around us, How thermohaline circulation dictates our weather, and How quantum tunnelling influences the nuclear fusion in our sun, and Wien’s Law determines its colour. This book will astound and inform in equal measure, with each principle drawn into the scene and explained with clarity by leading science writer Brian Clegg. With a reference section at the back as well as profiles of the key figures who have helped shape our understanding of these key principles, from Lynn Margulis and Richard Feynman to Marie Curie, Michael Faraday,Isaac Newton and Albert Einstein, this beautiful and unique visual examination of the rules of science is an must-have book for anyone who wants to understand the physics, chemistry and biology of the world around us!
Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition.
· An engaging and fun book to introduce kids to science · Includes 50 awesome experiments to easily try at home with items you already own · From turning rice into quicksand and making gooey slime to fooling your senses and measuring the speed of light with margarine, the results will amaze everyone of all ages · Contains fascinating follow-up information on how each experiment works and how it can be applied to the real world · By the famous and award-winning Naked Scientists
