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An interdisciplinary investigation of how and why things collapse, ranging from governments to species, markets and structures. The author explores the mathematics behind six fundamental processes that lead to such collapses. The exposition assumes minimal mathematical background and should appeal to readers from a wide range of fields.
Spectrum Word Problems is the perfect reinforcement of the problem solving skills students are learning in the classroom and for standardized test preparation. It provides clear examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems, skills that are essential to proficiency with the Common Core State Standards. Grade 7 Spectrum Word Problems includes practice for essential math skills, such as: real world applications; multi-step word problems; fractions, decimals, and percents; ratio and proportion; metric and customary measurement; graphs, probability, and statistics; geometry; perimeter, area, and volume; and variables, expressions, and equations.
Spectrum Word Problems is the perfect reinforcement of the problem solving skills students are learning in the classroom and for standardized test preparation. It provides clear examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems, skills that are essential to proficiency with the Common Core State Standards. Grade 5 Spectrum Word Problems includes practice for essential math skills, such as: real world applications; multi-step word problems; fractions and decimals; metric and customary measurement; graphs and probability; geometry; and preparing for algebra
In this collection of her work, addressed to mathematicians, Judith Grabiner explores the development of mathematics and the relationship between mathematics and culture. This book is an inspiring resource for those teaching history of mathematics courses.
Based on some of the most memorable contributions honouring Leonhard Euler in the years approaching his tercentenary, this book will appeal to anyone with an interest in the history of mathematics, and serves as a compelling introduction to one of the greatest mathematical minds of all time.
A collection of true stories, anecdotes and other gems from the literature of mathematics that shine as brightly today as when they first appeared - they deserve to be seen and admired. Most are non-technical and will be found interesting, amusing or informative by readers with any interest in mathematics.
Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection of essays chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics. It will be enjoyed by anyone interested in mathematics and its history.
The Ladies' Diary was an almanac published in England from 1704 to 1840. Its subtitle reveals its purpose, Containing New Improvements in Arts and Sciences, and Many Entertaining Particulars: Designed for the Use and Diversion of the Fair Sex. This book unearths the story of the Diary's creation and of the community of people surrounding it.
This volume, written by Brian Hall, presents an in-depth look at an integral part of mining strategy optimisation - cut-off specification. The publication builds a thorough understanding of cut-offs, covering simple concepts along with the more complex and comprehensive models of cut-off theory and evaluation practices. The first section of the volume addresses the principles underlying the more complex approaches to strategy optimisation; whilst the second section deals with the finer details of conducting evaluations.
Offers a comprehensive history of the development of mathematics in the US and Canada. This first volume of a two-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of the United States as a world leader in mathematics in the 1930s.
G. H. Hardy ranks among the great mathematicians of the twentieth century, doing essential research in number theory and analysis. This book is a feast of Hardy's writing, featuring articles ranging from the serious to the humorous. The G. H. Hardy Reader is a worthy introduction to an extraordinary individual.
G. H. Hardy ranks among the great mathematicians of the twentieth century, doing essential research in number theory and analysis. This book is a feast of Hardy's writing, featuring articles ranging from the serious to the humorous. The G. H. Hardy Reader is a worthy introduction to an extraordinary individual.
Mistakes in mathematical reasoning, ranging from outlandish blunders to subtle oversights, serve both to entertain, and to emphasise the need for rigour. This entertaining book collects and analyses mathematical errors taken from a variety of sources. It is an ideal resource for students and teachers of mathematics from school to university level.
The classic book - back in print! Demonstrating the profound connections that join mathematics to the history of philosophy and of Western civilization, and containing nuggets collected from number theory, geometry, science, etc. We see the true purpose of mathematics - 'To delight the mind and help us understand the world.'
An introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses.
Through the mid-nineteenth century, most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study.
Flatland, Edwin Abbott's story of a two-dimensional universe, as told by one of its inhabitants who is introduced to the mysteries of three-dimensional space, has enjoyed an enduring popularity from the time of its publication in 1884. This fully annotated edition enables the modern-day reader to understand and appreciate the many 'dimensions' of this classic satire. Mathematical notes and illustrations enhance the usefulness of Flatland as an elementary introduction to higher-dimensional geometry. Historical notes show connections to late-Victorian England and to classical Greece. Citations from Abbott's other writings as well as the works of Plato and Aristotle serve to interpret the text. Commentary on language and literary style includes numerous definitions of obscure words. An appendix gives a comprehensive account of the life and work of Flatland's remarkable author.
Mathematical ideas have an aesthetic appeal that can be appreciated by anyone who has the time and dedication to investigate. In this book readers will discover exciting mathematics topics from complex numbers to arithmetic progressions, from Alcuin's sequence to the zeta function, and from hypercubes to infinity squared.
A historical introduction to non-Euclidean geometry that guides readers step-by-step through a new translation of Lobachevski's groundbreaking book, The Theory of Parallels. It can be used as a primary text, or as supplementary reading, for courses in geometry or in the history of mathematics.
This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. It is ideal for those interested in the history of mathematics.
This collection of sixteen original essays is the first to explore a range of new developments in the philosophy of mathematics, in a way mathematicians will understand. Coverage includes emerging questions in the field as well as recent thinking on classical ideas, all relevant to the teaching of mathematics.
A remarkable collection, which discusses not only Euler's well-known achievements in pure mathematics, but also his contributions in many other areas, from astronomy to music. Even readers already familiar with Euler and his work will find here much to enhance their appreciation of this extraordinary scientist and human being.
A collection of the best from Mathematics Magazine. There is history of mathematics (including algebraic, numbers, inequalities, probability, quaternions, and group theory) and history of mathematicians (Hypatia, Gauss, E. T. Bell, Hamilton, and Euler). This book features award-winning articles from a star-studded list of authors.
Describing Euler's early mathematical works, this book is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail. Woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.
The 99 points of intersection presented here were collected during a year-long search for surprising concurrence of lines. For each example we find compelling evidence for the sometimes startling fact that in a geometric figure three straight lines, or sometimes circles, pass through one and the same point.
The anthology is a collection of articles written by renowned mathematicians of the twentieth century. The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline.
Science News publishes a weekly column devoted to 'cool stuff' from the world of mathematics. New developments and their applications, old puzzles revisited, famous problems and historic events have all featured. Ivars Peterson has enhanced and updated a selection of articles for this book.
Gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler's greatest work.
Presents a collection of essays written about mathematicians and mathematics. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, "What is mathematics for?" and in Simmons' answer, "To delight the mind and help us understand the world".
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