Godel
Godel

Author: John L. Casti

Publisher:

Published: 2009-04-21

Total Pages: 222

ISBN-13: 0786747609

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Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

Harvest of Despair
Harvest of Despair

Author: Karel C. Berkhoff

Publisher: Harvard University Press

Published: 2009-07-01

Total Pages: 492

ISBN-13: 9780674020788

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“If I find a Ukrainian who is worthy of sitting at the same table with me, I must have him shot,” declared Nazi commissar Erich Koch. To the Nazi leaders, the Ukrainians were Untermenschen—subhumans. But the rich land was deemed prime territory for Lebensraum expansion. Once the Germans rid the country of Jews, Roma, and Bolsheviks, the Ukrainians would be used to harvest the land for the master race. Karel Berkhoff provides a searing portrait of life in the Third Reich’s largest colony. Under the Nazis, a blend of German nationalism, anti-Semitism, and racist notions about the Slavs produced a reign of terror and genocide. But it is impossible to understand fully Ukraine’s response to this assault without addressing the impact of decades of repressive Soviet rule. Berkhoff shows how a pervasive Soviet mentality worked against solidarity, which helps explain why the vast majority of the population did not resist the Germans. He also challenges standard views of wartime eastern Europe by treating in a more nuanced way issues of collaboration and local anti-Semitism. Berkhoff offers a multifaceted discussion that includes the brutal nature of the Nazi administration; the genocide of the Jews and Roma; the deliberate starving of Kiev; mass deportations within and beyond Ukraine; the role of ethnic Germans; religion and national culture; partisans and the German response; and the desperate struggle to stay alive. Harvest of Despair is a gripping depiction of ordinary people trying to survive extraordinary events.

Linear Algebra and Differential Equations
Linear Algebra and Differential Equations

Author: Alexander Givental

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 150

ISBN-13: 9780821828502

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The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.

Logical Dilemmas
Logical Dilemmas

Author: John Dawson

Publisher: A K Peters/CRC Press

Published: 2005-06-06

Total Pages: 376

ISBN-13: 9781568812564

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This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.

Neighbors
Neighbors

Author: Jan T. Gross

Publisher: Princeton University Press

Published: 2022-04-26

Total Pages: 304

ISBN-13: 0691234310

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A landmark book that changed the story of Poland’s role in the Holocaust On July 10, 1941, in Nazi-occupied Poland, half of the town of Jedwabne brutally murdered the other half: 1,600 men, women, and children—all but seven of the town’s Jews. In this shocking and compelling classic of Holocaust history, Jan Gross reveals how Jedwabne’s Jews were murdered not by faceless Nazis but by people who knew them well—their non-Jewish Polish neighbors. A previously untold story of the complicity of non-Germans in the extermination of the Jews, Neighbors shows how people victimized by the Nazis could at the same time victimize their Jewish fellow citizens. In a new preface, Gross reflects on the book’s explosive international impact and the backlash it continues to provoke from right-wing Polish nationalists who still deny their ancestors’ role in the destruction of the Jews.

Introduction to Economic Geography
Introduction to Economic Geography

Author: Danny MacKinnon

Publisher: Routledge

Published: 2014-05-22

Total Pages: 589

ISBN-13: 1317902955

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Today’s rapidly flowing global economy, hit by recession following the financial crisis of 2008/9, means the geographical economic perspective has never been more important. An Introduction to Economic Geography comprehensively guides you through the core issues and debates of this vibrant and exciting area, whilst also exploring the range of approaches and paradigms currently invigorating the wider discipline. Rigorous and accessible, the authors demystify and enliven a crucial subject for geographical study. Underpinned by the themes of globalisation, uneven development and place, the text explores the diversity and vitality of contemporary economic geography. It balances coverage of 'traditional' areas such as regional development and labour markets with insight into new and evolving topics like neoliberalism, consumption, creativity and alternative economic practices. An Introduction to Economic Geography is an essential textbook for undergraduate students taking courses in Economic Geography, Globalisation Studies and more broadly in Human Geography. It will also be of key interest to anyone in Planning, Business and Management Studies and Economics.

Civil War and Agrarian Unrest
Civil War and Agrarian Unrest

Author: Enrico Dal Lago

Publisher: Cambridge University Press

Published: 2018-03-15

Total Pages: 481

ISBN-13: 1107038421

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The first book that compares the Confederate South and Southern Italy in two contemporaneous civil wars during 1861-1865.

A Nation Within a Nation
A Nation Within a Nation

Author: John Ernest

Publisher: Government Institutes

Published: 2011-04-16

Total Pages: 229

ISBN-13: 1566639174

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John Ernest offers a comprehensive survey of the broad-ranging and influential African American organizations and networks formed in the North in the late eighteenth century through the end of the Civil War. He examines fraternal organizations, churches, conventions, mutual aid benefit and literary societies, educational organizations, newspapers, and magazines. Ernest argues these organizations demonstrate how African Americans self-definition was not solely determined by slavery as they tried to create organizations in the hope of creating a community.

The Mathematical Education of Teachers
The Mathematical Education of Teachers

Author: Conference Board of the Mathematical Sciences

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 164

ISBN-13: 9780821828991

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Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.