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The Case Of Academician Nikolai Nikolaevich Luzin


The Case Of Academician Nikolai Nikolaevich Luzin
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The Case Of Academician Nikolai Nikolaevich Luzin


The Case Of Academician Nikolai Nikolaevich Luzin
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Author : Sergei S. Demidov
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-05-25

The Case Of Academician Nikolai Nikolaevich Luzin written by Sergei S. Demidov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-25 with Mathematics categories.


The Soviet school, one of the glories of twentieth-century mathematics, faced a serious crisis in the summer of 1936. It was suffering from internal strains due to generational conflicts between the young talents and the old establishment. At the same time, Soviet leaders (including Stalin himself) were bent on “Sovietizing” all of science in the USSR by requiring scholars to publish their works in Russian in the Soviet Union, ending the nearly universal practice of publishing in the West. A campaign to “Sovietize” mathematics in the USSR was launched with an attack on Nikolai Nikolaevich Luzin, the leader of the Soviet school of mathematics, in Pravda. Luzin was fortunate in that only a few of the most ardent ideologues wanted to destroy him utterly. As a result, Luzin, though humiliated and frightened, was allowed to make a statement of public repentance and then let off with a relatively mild reprimand. A major factor in his narrow escape was the very abstractness of his research area (descriptive set theory), which was difficult to incorporate into a propaganda campaign aimed at the broader public. The present book contains the transcripts of five meetings of the Academy of Sciences commission charged with investigating the accusations against Luzin, meetings held in July of 1936. Ancillary material from the Soviet press of the time is included to place these meetings in context.



Mathematics In Politics And Governance


Mathematics In Politics And Governance
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Author : Francisco J. Aragón-Artacho
language : en
Publisher: Springer Nature
Release Date : 2024-04-05

Mathematics In Politics And Governance written by Francisco J. Aragón-Artacho and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-05 with Mathematics categories.


This book presents the mathematical tools that politicians use to make rational decisions about health, education, culture, economy, finance, transportation, and national defense for their citizens. The selection of topics addressed is based on the experiences of four veteran politicians who have doctorates or master’s degrees in mathematics. The exposition also considers the mathematical tools used by politicians to capture votes or optimize their impact on the design of electoral districts, i.e., gerrymandering, without forgetting the mathematics applied to parliamentary activity and political science. Aimed at a general educated readership, a basic knowledge of mathematics is the only requisite to understanding most of the book. Certain sections, denoted in the book with a star, contain more advanced material and require some knowledge of undergraduate math. A later chapter is dedicated to applications and techniques of machine learning and the final chapter discusses a variety of cases where political decisions have affected mathematical development. Readers gravitating towards this book are those who are curious about the history of mathematics, including optimizers and mathematicians who would like to learn more about the historical roots of their discipline. There will also be strong appeal to mathematically-oriented economists, political scientists, and people generally interested in mathematics. Mathematics is – or it should be! – an important part of our culture. The impact of mathematics is sometimes silent, but a powerful one. The authors of this book did an incredible work in digging out areas of mathematical reasoning that pervades social and political life. Reading this book, we will all enrich our vision of mathematics’ value for society. (Nuno Crato, Professor of Applied Mathematics, University of Lisbon, former minister of Education and Science of Portugal 2011–2015) This monograph shows in an impressive way that mathematics can be very helpful in making and evaluating political decisions and that it is indispensable in the progressive penetration of all areas of society with scientific methods. This also includes politics. Not everything in politics can be justified or related to mathematics, but politics should not be made in contradiction to mathematical truths. For me, this is a central message of this publication. (Johanna Wanka, Professor of Applied Mathematics, Merseburg University of Applied Sciences, former Minister of Education and Research, Germany 2013–2018)



Toeplitz Matrices And Operators


Toeplitz Matrices And Operators
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Author : Nikolaï Nikolski
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-02

Toeplitz Matrices And Operators written by Nikolaï Nikolski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-02 with Mathematics categories.


A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.



Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses


Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses
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Author : Martina Becvarova
language : en
Publisher: World Scientific
Release Date : 2021-05-14

Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses written by Martina Becvarova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-14 with Mathematics categories.


The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.



Handbook Of The History And Philosophy Of Mathematical Practice


Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date : 2024-04-26

Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.


The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. Each section offers insights into the origins, debates, methodologies, and newer perspectives that characterize the discipline today. Contributions are written by scholars from mathematics, history, and philosophy – as well as other disciplines that have contributed to the richness of perspectives abundant in the study of philosophy today – who describe various mathematical practices throughout different time periods and contrast them with the development of philosophy. Editorial Advisory Board Andrew Aberdein, Florida Institute ofTechnology, USA Jody Azzouni, Tufts University, USA Otávio Bueno, University of Miami, USA William Byers, Concordia University, Canada Carlo Cellucci, Sapienza University of Rome, Italy Chandler Davis, University of Toronto, Canada (1926-2022) Paul Ernest, University of Exeter, UK Michele Friend, George Washington University, USA Reuben Hersh, University of New Mexico, USA (1927-2020) Kyeong-Hwa Lee, Seoul National University, South Korea Yuri Manin, Max Planck Institute for Mathematics, Germany (1937-2023) Athanase Papadopoulos, University of Strasbourg, France Ulf Persson, Chalmers University of Technology, Sweden John Stillwell, University of San Francisco, USA David Tall, University of Warwick, UK (1941-2024) This book with its exciting depth and breadth, illuminates us about the history, practice, and the very language of our subject; about the role of abstraction, ofproof and manners of proof; about the interplay of fundamental intuitions; about algebraic thought in contrast to geometric thought. The richness of mathematics and the philosophy encompassing it is splendidly exhibited over the wide range of time these volumes cover---from deep platonic and neoplatonic influences to the most current experimental approaches. Enriched, as well, with vivid biographies and brilliant personal essays written by (and about) people who play an important role in our tradition, this extraordinary collection of essays is fittingly dedicated to the memory of Chandler Davis, Reuben Hersh, and Yuri Manin. ---Barry Mazur, Gerhard Gade University Professor, Harvard University This encyclopedic Handbook will be a treat for all those interested in the history and philosophy of mathematics. Whether one is interested in individuals (from Pythagoras through Newton and Leibniz to Grothendieck), fields (geometry, algebra, number theory, logic, probability, analysis), viewpoints (from Platonism to Intuitionism), or methods (proof, experiment, computer assistance), the reader will find a multitude of chapters that inform and fascinate. ---John Stillwell, Emeritus Professor of Mathematics, University of San Francisco; Recipient of the 2005 Chauvenet Prize Dedicating a volume to the memory of three mathematicians – Chandler Davis, Reuben Hersh, and Yuri Manin –, who went out of their way to show to a broader audience that mathematics is more than what they might think, is an excellent initiative. Gathering authors coming from many different backgrounds but who are very strict about the essays they write was successfully achieved by the editor-in-chief. The result: a great source of potential inspiration! ---Jean-Pierre Bourguignon; Nicolaas Kuiper Honorary Professor at the Institut des Hautes Études Scientifiques



Scientific Communication Across The Iron Curtain


Scientific Communication Across The Iron Curtain
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Author : Christopher D. Hollings
language : en
Publisher: Springer
Release Date : 2015-12-12

Scientific Communication Across The Iron Curtain written by Christopher D. Hollings and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-12 with Science categories.


This monograph provides a concise introduction to the tangled issues of communication between Russian and Western scientists during the Cold War. It details the extent to which mid-twentieth-century researchers and practitioners were able to communicate with their counterparts on the opposite side of the Iron Curtain. Drawing upon evidence from a range of disciplines, a decade-by-decade account is first given of the varying levels of contact that existed via private correspondence and conference attendance. Next, the book examines the exchange of publications and the availability of one side's work in the libraries of the other. It then goes on to compare general language abilities on opposite sides of the Iron Curtain, with comments on efforts in the West to learn Russian and the systematic translation of Russian work. In the end, author Christopher Hollings argues that physical accessibility was generally good in both directions, but that Western scientists were afflicted by greater linguistic difficulties than their Soviet counterparts whose major problems were bureaucratic in nature. This volume will be of interest to historians of Cold War science, particularly those who study communications and language issues. In addition, it will be an ideal starting pointing for anyone looking to know more about this fascinating area.



Ensnared Between Hitler And Stalin


Ensnared Between Hitler And Stalin
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Author : David K Zimmerman
language : en
Publisher: University of Toronto Press
Release Date : 2022-12-21

Ensnared Between Hitler And Stalin written by David K Zimmerman and has been published by University of Toronto Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Science categories.


In the 1930s, hundreds of scientists and scholars fled Hitler’s Germany. Many found safety, but some made the disastrous decision to seek refuge in Stalin’s Soviet Union. The vast majority of these refugee scholars were arrested, murdered, or forced to flee the Soviet Union during the Great Terror. Many of the survivors then found themselves embroiled in the Holocaust. Ensnared between Hitler and Stalin explores the forced migration of these displaced academics from Nazi Germany to the Soviet Union. The book follows the lives of thirty-six scholars through some of the most tumultuous events of the twentieth century. It reveals that not only did they endure the chaos that engulfed central Europe in the decades before Hitler came to power, but they were also caught up in two of the greatest mass murders in history. David Zimmerman examines how those fleeing Hitler in their quests for safe harbour faced hardship and grave danger, including arrest, torture, and execution by the Soviet state. Drawing on German, Russian, and English sources, Ensnared between Hitler and Stalin illustrates the complex paths taken by refugee scholars in flight.



Mathematical Communities In The Reconstruction After The Great War 1918 1928


Mathematical Communities In The Reconstruction After The Great War 1918 1928
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Author : Laurent Mazliak
language : en
Publisher: Springer Nature
Release Date : 2021-03-27

Mathematical Communities In The Reconstruction After The Great War 1918 1928 written by Laurent Mazliak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-27 with Science categories.


This book is a consequence of the international meeting organized in Marseilles in November 2018 devoted to the aftermath of the Great War for mathematical communities. It features selected original research presented at the meeting offering a new perspective on a period, the 1920s, not extensively considered by historiography. After 1918, new countries were created, and borders of several others were modified. Territories were annexed while some countries lost entire regions. These territorial changes bear witness to the massive and varied upheavals with which European societies were confronted in the aftermath of the Great War. The reconfiguration of political Europe was accompanied by new alliances and a redistribution of trade – commercial, intellectual, artistic, military, and so on – which largely shaped international life during the interwar period. These changes also had an enormous impact on scientific life, not only in practice, but also in its organization and communication strategies. The mathematical sciences, which from the late 19th century to the 1920s experienced a deep disciplinary evolution, were thus facing a double movement, internal and external, which led to a sustainable restructuring of research and teaching. Concomitantly, various areas such as topology, functional analysis, abstract algebra, logic or probability, among others, experienced exceptional development. This was accompanied by an explosion of new international or national associations of mathematicians with for instance the founding, in 1918, of the International Mathematical Union and the controversial creation of the International Research Council. Therefore, the central idea for the articulation of the various chapters of the book is to present case studies illustrating how in the aftermath of the war, many mathematicians had to organize their personal trajectories taking into account the evolution of the political, social and scientific environment which had taken place at the end of the conflict.



Antinomy And Symbol Pavel Florensky S Philosophy Of Discontinuity


Antinomy And Symbol Pavel Florensky S Philosophy Of Discontinuity
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Author : Andrea Oppo
language : en
Publisher: BRILL
Release Date : 2024-08-19

Antinomy And Symbol Pavel Florensky S Philosophy Of Discontinuity written by Andrea Oppo and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-19 with Philosophy categories.


Pavel Florensky (1882–1937) was a Russian philosopher, theologian, and scientist. He was considered by his contemporaries to be a polymath on a par with Pascal or Da Vinci. This book is the first comprehensive study in the English language to examine Florensky's entire philosophical oeuvre in its key metaphysical concepts. For Florensky, antinomy and symbol are the two faces of a single issue—the universal truth of discontinuity. This truth is a general law that represents, better than any other, the innermost structure of the universe. With its original perspective, Florensky’s philosophy is unique in the context of modern Russian thought, but also in the history of philosophy per se.



Mathematics Across The Iron Curtain


Mathematics Across The Iron Curtain
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Author : Christopher Hollings
language : en
Publisher: American Mathematical Society
Release Date : 2014-07-16

Mathematics Across The Iron Curtain written by Christopher Hollings and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-16 with Mathematics categories.


The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.