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The War of Guns and Mathematics
  • Language: en
  • Pages: 414

The War of Guns and Mathematics

For a long time, World War I has been shortchanged by the historiography of science. Until recently, World War II was usually considered as the defining event for the formation of the modern relationship between science and society. In this context, the effects of the First World War, by contrast, were often limited to the massive deaths of promising young scientists. By focusing on a few key places (Paris, Cambridge, Rome, Chicago, and others), the present book gathers studies representing a broad spectrum of positions adopted by mathematicians about the conflict, from militant pacifism to military, scientific, or ideological mobilization. The use of mathematics for war is thoroughly examin...

Mathematics for Human Flourishing
  • Language: en
  • Pages: 287

Mathematics for Human Flourishing

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disencha...

The Greek Revolution and the Violent Birth of Nationalism
  • Language: en
  • Pages: 392

The Greek Revolution and the Violent Birth of Nationalism

"At the beginning of the nineteenth century, Greece was not a country-it was only a vague idea. The territories we now call Greece were part of the Ottoman Empire, though some of its islands were ruled at various points by the Venetians, the French, the Russians, and the British. The population was a mix of religious and ethnic groups including Muslims, Orthodox Christians, Catholics, and Jews, who spoke Albanian, Turkish, Vlach dialects, and numerous other varieties of Greek. But by 1830, Greece was a united, independent, and Orthodox Christian country that had made a global impact in the age of empires. In The Greek Revolution: A New History, Yanni Kotsonis tells the story of the 1821 revo...

Collected Works
  • Language: en
  • Pages: 477

Collected Works

One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas.

Gender, Embodiment, and the History of the Scholarly Persona
  • Language: en
  • Pages: 367

Gender, Embodiment, and the History of the Scholarly Persona

This book investigates the historical construction of scholarly personae by integrating a spectrum of recent perspectives from the history and cultural studies of knowledge and institutions. Focusing on gender and embodiment, the contributors analyse the situated performance of scholarly identity and its social and intellectual contexts and consequences. Disciplinary cultures, scholarly practices, personal habits, and a range of social, economic, and political circumstances shape the people and formations of modern scholarship. Featuring a foreword by Ludmilla Jordanova, Gender, Embodiment, and the History of the Scholarly Persona: Incarnations and Contestations is of interest to historians,...

Infinity And Truth
  • Language: en
  • Pages: 245

Infinity And Truth

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo-Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies.The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics.

The Grapes of Math
  • Language: en
  • Pages: 352

The Grapes of Math

From triangles, rotations and power laws, to cones, curves and the dreaded calculus, the author takes you on a journey of mathematical discovery. He sifts through over 30,000 survey submissions to uncover the world's favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as he delves deep into humankind's turbulent relationship with numbers, and reveals how they have shaped the world we live in. -- Provided by publisher.

The Math Book
  • Language: en
  • Pages: 935

The Math Book

Math’s infinite mysteries and beauty unfold in this follow-up to the best-selling The Science Book. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it 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 gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

The Prehistory of Mathematical Structuralism
  • Language: en
  • Pages: 469

The Prehistory of Mathematical Structuralism

This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysical aspects of structuralism.

Circles Disturbed
  • Language: en
  • Pages: 592

Circles Disturbed

Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us ...