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.

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.

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.

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!

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.

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 value of a consideration of large numbers and exponentiation in primary and early secondary school should not be underrated. In Indian history of mathematics, consistent naming of, and working with large numbers, including powers of ten, appears to have provided the impetus for the development of a place value system. While today's students do not have to create a number system, they do need to understand the structure of numeration in order to develop number sense, quantity sense and operations. We believe that this could be done more beneficially through reflection on large numbers and numbers in the exponential form. What is reported here is part of a research study that involves students' understanding of large numbers and powers before and after a teaching intervention incorporating historical ideas. The results indicate that a carefully constructed framework based on an integration of historical and educational perspectives can assist students to construct a richer understanding of the place value structure.

With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.