Download or read book GREAT BREAKTHROUGHS IN MATHEMATICS written by ROBERT. SNEDDEN and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Breakthroughs in Math Book 1 written by Robert Mitchell and published by SRA/McGraw-Hill. This book was released on 1996-04-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help students break through to concepts in content-area reading Content-area reading skills help students understand their textbooks Pre- and post-test work lets students focus on strengths and weaknesses Special exercises encourage analysis, synthesis, evaluation, and application These are the tools you need for students to work through problems until they can master the concepts (and not just the skills) each subject area requires. More than just simple repetition, these books are designed to guide students to their own intellectual breakthroughs.
Download or read book Math in 100 Key Breakthroughs written by Richard Elwes and published by Quercus. This book was released on 2013-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Elwes is a writer, teacher and researcher in Mathematics, visiting fellow at the University of Leeds, and contributor to numerous popular science magazines. He is a committed and recognized popularizer of mathematics. Of Elwes, Sonder Books 2011 Standouts said, "Dr. Elwes is brilliant at giving the reader the broad perspective, with enough details to fascinate, rather than confuse." Math in 100 Key Breakthroughs offers a series of short, clear-eyed essays explaining the fundamentals of the mathematical concepts everyone should know. Professor Richard Elwes profiles the most important, groundbreaking, and astonishing discoveries, which together have profoundly influenced our understanding of the universe. From the origins of counting--traced back to more than 35,000 years ago--to such contemporary breakthroughs as Wiles' Proof of Fermat's Last Theorem and Cook & Woolfram's Rule 110, this compulsively readable book tells the story of discovery, invention, and inspiration that have led to humankind's most important mathematical achievements.
Download or read book Problem Solved written by Robert Snedden and published by Arcturus Publishing. This book was released on 2018-11-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From early humans carving notches in bones to the discovery of quantum mechanics and chaos theory - mathematics has certainly come a long way. Fully illustrated and augmented with helpful timelines and diagrams, Problem Solved! explores some of history's greatest mathematical breakthroughs. Covering topics from Ancient Egyptian geometry to chaos theory, readers will learn about Euclid of Alexandria, Brahmagupta, Sir Isaac Newton, Alan Turing and more. Whether solving practical or abstract problems, these mathematicians have each sought to improve our lives, and have bought us to the world we know today. With each concept explained in easy-to-understand language, there's no need to be a calculus genius to marvel at these incredible feats of problem-solving brilliance.
Download or read book Exploring the World of Mathematics written by John Hudson Tiner and published by New Leaf Publishing Group. This book was released on 2004-07-01 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.
Download or read book Breakthroughs In Math Book 1 written by Contemporary and published by McGraw-Hill Education. This book was released on 1996-04-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: PRE- AND POST-TESTS Accurately diagnose skill levels and assess mastery. EVALUATION CHARTS Correlated to the chapters to help identify areas for additional study and practice. ANSWER KEYS Allow students to check their own work for immediate feedback. WRITING AND LANGUAGE Grammar and mechanics instruction integrated with writing activities. SOCIAL STUDIES Critical thinking, social studies concepts, and the interpretation of charts, graphs, maps, and political cartoons. SCIENCE Reading comprehension, higher-level thinking skills, and interpreting visual materials. MATH, BOOK 1 Basic operations with whole numbers as well as key problem-solving skills and strategies. MATH, BOOK 2 Computation and problem solving with decimals, fraction, percents, measurement, and basic probability.
Download or read book God Created The Integers written by Stephen Hawking and published by Running Press Adult. This book was released on 2007-03-29 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.
Download or read book Perfect Rigour written by Masha Gessen and published by Icon Books Ltd. This book was released on 2011-03-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.
Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Download or read book The Math Book written by DK and published by Penguin. This book was released on 2019-09-03 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: See how math's infinite mysteries and beauty unfold in this captivating educational book! Discover more than 85 of the most important mathematical ideas, theorems, and proofs ever devised with this beautifully illustrated book. Get to know the great minds whose revolutionary discoveries changed our world today. You don't have to be a math genius to follow along with this book! This brilliant book is packed with short, easy-to-grasp explanations, step-by-step diagrams, and witty illustrations that play with our ideas about numbers. What is an imaginary number? Can two parallel lines ever meet? How can math help us predict the future? All will be revealed and explained in this encyclopedia of mathematics. It's as easy as 1-2-3! The Math Book tells the exciting story of how mathematical thought advanced through history. This diverse and inclusive account will have something for everybody, including the math behind world economies and espionage. This book charts the development of math around the world, from ancient mathematical ideas and inventions like prehistoric tally bones through developments in medieval and Renaissance Europe. Fast forward to today and gain insight into the recent rise of game and group theory. Delve in deeper into the history of math: - Ancient and Classical Periods 6000 BCE - 500 CE - The Middle Ages 500 - 1500 - The Renaissance 1500 - 1680 - The Enlightenment 1680 - 1800 - The 19th Century 1800 - 1900 - Modern Mathematics 1900 - Present The Series Simply Explained With over 7 million copies sold worldwide to date, The Math Book is part of the award-winning Big Ideas Simply Explained series from DK Books. It uses innovative graphics along with engaging writing to make complex subjects easier to understand.
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Download or read book Contemporary s Breakthroughs in Math book 1 written by Robert Mitchell and published by . This book was released on 1996 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book What s Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Download or read book Science in 100 Key Breakthroughs written by Paul Parsons and published by Quercus. This book was released on 2013-10-01 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science in 100 Key Breakthroughs presents a series of clear and concise essays that explain the fundamentals of some of the most exciting and important science concepts you really need to know. Paul Parsons profiles the important, ground-breaking, and front-of-mind scientific discoveries that have had a profound influence on our way of life and will grow in importance with our advancing understanding. In 100 sections, this book provides an overview of the history of Western science, from astronomy and physics to geology, biology and psychology and everything in between. Starting with the origins of counting more than 35,000 years ago, Science tells a rich and fascinating story of discovery, invention, gradual progress and inspired leaps of the imagination. Many key concepts and discoveries are defined and discussed including: The circumference of the Earth, Chaos theory, Algebra, Relativity, Newton's Principia, Brownian motion, Pi, Wave/particle duality, Germ theory, The computer, X-rays, The double helix, Viruses, The human genome Readable, informative and thought-provoking, this is the ideal introduction to cutting-edge science and the essential overview for anyone who wants to learn more about these often daunting but increasingly essential subjects.
Download or read book Making up Numbers A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
