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Mathematics has for centuries been stimulated, financed and credited by military purposes. Some mathematical thoughts and mathematical technology have also been vital in war. During World War II mathematical work by the Anti-Hitler coalition was part of an aspiration to serve humanity and not help destroy it. At present, it is not an easy task to view the bellicose potentials of mathematics in a proper perspective. The book presents historical evidence and recent changes in the interaction between mathematics and the military. It discusses the new mathematically enhanced development of military technology which seems to have changed the very character of modern warfare.
This book is written for parents and other interested parties so that they can understand the great debate taking place in many states in this country about how to teach basic math. The debate centers around the standards written by the National Council of Teachers of Mathematics (NCTM), which call for a radically different approach to mathematics education. Because the issues are so heated between the NCTM-oriented curricula and traditional curricula (the curricula that NCTM-oriented replaced), the term Math Wars was coined to describe them. Parents are concerned about their children's math learning. Teachers are concerned about math teaching. When parents see what children are bringing home under the new curriculum, it is clear that their children are not working on the same mathematics that parents remember from the time when they were in school. But, the problem goes beyond grades K-12. Post-secondary mathematics courses are the fear of many students. The standards created by the NCTM do not necessarily prepare students for success, either on SATs or in college. Besides lack of knowledge about mathematics education, many parents have an additional problem in that they feel they lack knowledge in mathematics itself. This is very intimidating; thus it is difficult for parents to do anything about the confusing state of mathematics education. This book provides some answers.
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.
Keith Lucas was killed instantly when his BE2 biplane collided with that of a colleague over Salisbury Plain on 5 October 1916. As a captain in the Royal Flying Corps, Lucas would have known that his death was a very real risk of the work he was doing in support of Britain's war effort. But Lucas wasn't a career pilot - he was a scientist. The Flying Mathematicians of World War I details the advances and sacrifices of a select group of pioneers who left the safety of their laboratories to drive aeronautics forward at a critical moment in history. These mathematicians and scientists, including Lucas, took up the challenge to advance British aviation during the war and soon realized that they would need to learn how to fly themselves if they were to complete their mission. Set in the context of a new field of engineering, driven apace by conflict, the book follows Lucas and his colleagues as they endured freezing cockpits and engaged in aerial versions of Russian roulette in order to expand our understanding of aeronautics. Tony Royle deftly navigates this fascinating history of technical achievement, imagination, and ingenuity punctuated by bravery, persistence, and tragedy. As a result, The Flying Mathematicians of World War I makes accessible the mathematics and the personal stories that forever changed the course of aviation.
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as functional and real analysis, group theory, measure and set theory, probability, and topology. Finding solutions to the problems they proposed has been ongoing since World War II, with prizes offered in many cases to those who are successful. In the 35 years since the first edition published, several more problems have been fully or partially solved, but even today many still remain unsolved and several prizes remain unclaimed. In view of this, the editor has gathered new and updated commentaries on the original 193 problems. Some problems are solved for the first time in this edition. Included again in full are transcripts of lectures given by Stanislaw Ulam, Mark Kac, Antoni Zygmund, Paul Erdös, and Andrzej Granas that provide amazing insights into the mathematical environment of Lwów before World War II and the development of The Scottish Book. Also new in this edition are a brief history of the University of Wrocław’s New Scottish Book, created to revive the tradition of the original, and some selected problems from it. The Scottish Book offers a unique opportunity to communicate with the people and ideas of a time and place that had an enormous influence on the development of mathematics and try their hand on the unsolved problems. Anyone in the general mathematical community with an interest in the history of modern mathematics will find this to be an insightful and fascinating read.
During WWII, Japan's navy relied on secret codes to communicate battle plans. By early 1942, US experts had cracked the code. The Japanese had planned a surprise attack on US Navy ships, but now the Americans knew the attack was coming. They turned the tables on the enemy and won a decisive victory. Math has always been key to warfare. Scientists use mathematical calculations to understand how missiles fly, or how to build faster airplanes. Soldiers in battle use math to figure out how to hit a particular target. From making sure an army has enough supplies to recording casualties and damage, discover how math and calculations lie at the heart of warfare!
An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.
Operations research grew out of the application of the scientific method to certain problems of war during World War II. This book tells the story of how operations research became an important activity in the Eighth Air Force. It emphasizes the people involved in these historical events, rather than the technical matters with which they dealt.
This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.
An exploration of the hidden human, emotional, and social dimensions of mathematics Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions—and inspire more love and hatred—than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment—as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.