Really Big Numbers


Book Description

In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.




The Power of Large Numbers


Book Description

French government officials have long been known among Europeans for the special attention they give to the state of their population. In the first half of the nineteenth century, as Paris doubled in size and twice suffered the convulsions of popular revolution, civic leaders looked with alarm at what they deemed a dangerous population explosion. After defeat in the Franco-Prussian War in 1870, however, the falling birthrate generated widespread fears of cultural and national decline. In response, legislators promoted larger families and the view that a well-regulated family life was essential for France.In this innovative work of cultural history, Joshua Cole examines the course of French thinking and policymaking on population issues from the 1780s until the outbreak of the Great War. During these decades increasingly sophisticated statistical methods for describing and analyzing such topics as fertility, family size, and longevity made new kinds of aggregate knowledge available to social scientists and government officials. Cole recounts how this information heavily influenced the outcome of debates over the scope and range of public welfare legislation. In particular, as the fear of depopulation grew, the state wielded statistical data to justify increasing intervention in family life and continued restrictions on the autonomy of women.




The Law of Large Numbers


Book Description

Apply this incredible law to every area of your life. While the law of large numbers has been applied to fields such as math and science for several decades, its power has just recently begun to be applied to the fields of business and personal growth. Today, people from all walks of life are using the law of large numbers to achieve their highest objectives, with great confidence and complete peace of mind. Now, award-winning speaker and personal performance expert Dr. Gary Goodman has created a full-scale program showing you how to apply this incredible law to every area of your life. Gary shares with you the amazing power this simple philosophy has brought to his life and the hundreds of people he has consulted with. According to Gary, "If you stand second in line in enough lines, sooner or later, even by sheer luck, you are bound to reach the top in at least one, if not several of those lines, over time." Learn: • A new process of setting clear goals in every major area of your life • How to gain the ability to focus on positive outcomes in all situations. • The law of large numbers approach to being more successful in any sales position. • How to become an expert communicator by expanding your vocabulary with the law of large numbers. • A clear, concise action plan for how you can develop your own personal law of large numbers strategy and apply it to any area of your life. • A 31-day action plan to stay positive every day and stay on track with your law of large numbers campaign. • And much, much more!




The Lore of Large Numbers


Book Description




The Politics of Large Numbers


Book Description

Begins with study of history of statistics, and shows how the evolution of modern statistics has been inextricably bound up with the knowledge and power of governments.




Land of Big Numbers


Book Description

"A debut story collection offering a kaleidoscopic portrait of life for contemporary Chinese people, set between China and the United States"--




The Laws of Large Numbers


Book Description

The Law of Large Numbers deals with three types of law of large numbers according to the following convergences: stochastic, mean, and convergence with probability 1. The book also investigates the rate of convergence and the laws of the iterated logarithm. It reviews measure theory, probability theory, stochastic processes, ergodic theory, orthogonal series, Huber spaces, Banach spaces, as well as the special concepts and general theorems of the laws of large numbers. The text discusses the laws of large numbers of different classes of stochastic processes, such as independent random variables, orthogonal random variables, stationary sequences, symmetrically dependent random variables and their generalizations, and also Markov chains. It presents other laws of large numbers for subsequences of sequences of random variables, including some general laws of large numbers which are not related to any concrete class of stochastic processes. The text cites applications of the theorems, as in numbers theory, statistics, and information theory. The text is suitable for mathematicians, economists, scientists, statisticians, or researchers involved with the probability and relative frequency of large numbers.




Fantastic Numbers and Where to Find Them


Book Description

A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.




Is That a Big Number?


Book Description

Impressive statistics are thrown at us every day - the cost of health care; the size of an earthquake; the distance to the nearest star; the number of giraffes in the world. We know all these numbers are important - some more than others - and it's vaguely unsettling when we don't really have a clear sense of how remarkable or how ordinary they are. How do we work out what these figures actually mean? Are they significant, should we be worried, or excited, or impressed? How big is big, how small is small? With this entertaining and engaging book, help is at hand. Andrew Elliott gives us the tips and tools to make sense of numbers, to get a sense of proportion, to decipher what matters. It is a celebration of a numerate way of understanding the world. It shows how number skills help us to understand the everyday world close at hand, and how the same skills can be stretched to demystify the bigger numbers that we find in the wider contexts of science, politics, and the universe. Entertaining, full of practical examples, and memorable concepts, Is That A Big Number? renews our relationship with figures. If numbers are the musical notes with which the symphony of the universe is written, and you're struggling to hear the tune, then this is the book to get you humming again.




The Power of Large Numbers


Book Description

French government officials have long been known among Europeans for the special attention they give to the state of their population. In the first half of the nineteenth century, as Paris doubled in size and twice suffered the convulsions of popular revolution, civic leaders looked with alarm at what they deemed a dangerous population explosion. After defeat in the Franco-Prussian War in 1870, however, the falling birthrate generated widespread fears of cultural and national decline. In response, legislators promoted larger families and the view that a well-regulated family life was essential for France.In this innovative work of cultural history, Joshua Cole examines the course of French thinking and policymaking on population issues from the 1780s until the outbreak of the Great War. During these decades increasingly sophisticated statistical methods for describing and analyzing such topics as fertility, family size, and longevity made new kinds of aggregate knowledge available to social scientists and government officials. Cole recounts how this information heavily influenced the outcome of debates over the scope and range of public welfare legislation. In particular, as the fear of depopulation grew, the state wielded statistical data to justify increasing intervention in family life and continued restrictions on the autonomy of women.