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This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory. Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet L-series, including the Čebotarev density theorem. Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.
Alan Dundes, in this casebook of an anti-Semitic legend, demonstrates the power of folklore to influence thought and history. According to the blood libel legend, Jews murdered Christian infants to obtain blood to make matzah. Dundes has gathered here the work of leading scholars who examine the varied sources and elaborations of the legend. Collectively, their essays constitute a forceful statement against this false accusation. The legend is traced from the murder of William of Norwich in 1144, one of the first reported cases of ritualized murder attributed to Jews, through nineteenth-century Egyptian reports, Spanish examples, Catholic periodicals, modern English instances, and twentieth-...
'Interesting and provocative... It gives you a sense of how briefly we've been on this Earth' Barack Obama What makes us brilliant? What makes us deadly? What makes us Sapiens? One of the world's preeminent historians and thinkers, Yuval Noah Harari challenges everything we know about being human. Earth is 4.5 billion years old. In just a fraction of that time, one species among countless others has conquered it: us. In this bold and provocative book, Yuval Noah Harari explores who we are, how we got here and where we're going. **ONE OF THE GUARDIAN'S 100 BEST BOOKS OF THE 21st CENTURY** PRAISE FOR SAPIENS: 'Jaw-dropping from the first word to the last... It may be the best book I've ever read' Chris Evans 'Startling... It changes the way you look at the world' Simon Mayo 'I would recommend Sapiens to anyone who's interested in the history and future of our species' Bill Gates Over 2 million copies sold since publication [Nielsen BookScan UK, Circana BookScan US, April 2024]
The first volume of the graphic adaptation of Yuval Noah Harari's global phenomenon and smash SUNDAY TIMES #1 BESTSELLER. Featuring 256 pages of gorgeous full-colour illustrations and wrapped in a beautiful package. One hundred thousand years ago, at least six different species of humans inhabited Earth. Yet today there is only one-homo sapiens. What happened to the others? And what may happen to us? In this first volume of the adaptation of his ground-breaking book, renowned historian Yuval Harari tells the story of humankind's creation and evolution, exploring the ways in which biology and history have defined us and enhanced our understanding of what it means to be "human". From examining...
Discover the second volume of an epic, beautifully illustrated graphic history of humankind, based on Yuval Noah Harari's multi-million copy bestselling phenomenon. When nomadic Homo sapiens settled to live in one place, they started working harder and harder. But why didn't they get a better life in return? In The Pillars of Civilization, Yuval Noah Harari and his companions including Prof. Saraswati and Dr. Fiction travel the length and breadth of human history to investigate how the Agricultural Revolution changed society forever. Discover how wheat took over the world, how war, famine, disease and inequality became a part of the human condition, and why we might only have ourselves to bl...
A Jewish delegation led by Sir Moses Montefiore and Adolphe Cremieux was sent to the Middle East in the hope of discovering the real murderers.
**THE MILLION COPY BESTSELLER** Sapiens showed us where we came from. In our increasingly uncertain times, Homo Deus shows us where we're going. 'Spellbinding' Guardian The world-renowned historian and intellectual Yuval Noah Harari envisions a near future in which we face a new set of challenges. Homo Deus explores the projects, dreams and nightmares that will shape the twenty-first century and beyond - from overcoming death to creating artificial life. It asks the fundamental questions: how can we protect this fragile world from our own destructive power? And what does our future hold? 'Even more readable, even more important, than his excellent Sapiens' Kazuo Ishiguro 'Homo Deus will shock you. It will entertain you. It will make you think in ways you had not thought before' Daniel Kahneman, bestselling author of Thinking, Fast and Slow
This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.