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

Author: Martina Becvarova

Publisher: World Scientific

Published: 2021-05-14

Total Pages: 623

ISBN-13: 1786349329

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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.


The Development of Mathematics Between the World Wars

The Development of Mathematics Between the World Wars

Author: Martina Bečvářová

Publisher: Wspc (Europe)

Published: 2021

Total Pages: 624

ISBN-13: 9781786349309

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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.


Mathematical Communities in the Reconstruction After the Great War 1918–1928

Mathematical Communities in the Reconstruction After the Great War 1918–1928

Author: Laurent Mazliak

Publisher: Springer Nature

Published: 2021-03-27

Total Pages: 373

ISBN-13: 3030616835

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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.


The Richness of the History of Mathematics

The Richness of the History of Mathematics

Author: Karine Chemla

Publisher: Springer Nature

Published: 2023-11-27

Total Pages: 702

ISBN-13: 3031408551

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This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.


Fundamentals of Algebraic Microlocal Analysis

Fundamentals of Algebraic Microlocal Analysis

Author: Goro Kato

Publisher: CRC Press

Published: 2020-08-11

Total Pages: 320

ISBN-13: 1000148394

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"Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."


Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945

Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945

Author: Karen Hunger Parshall

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 430

ISBN-13: 0821821245

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Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.


The Art of War in the Network Age

The Art of War in the Network Age

Author: Joseph Henrotin

Publisher: John Wiley & Sons

Published: 2016-09-16

Total Pages: 178

ISBN-13: 1119361346

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Previous studies have looked at the contribution of information technology and network theory to the art of warfare as understood in the broader sense. This book, however, focuses on an area particularly important in understanding the significance of the information revolution; its impact on strategic theory. The purpose of the book is to critically analyze the contributions and challenges that the spread of information technologies can bring to categories of classic strategic theory. In the first two chapters, the author establishes the context of the book, coming back to the epistemology of revolution in military affairs and its terminology. The third chapter examines the political bases of strategic action and operational strategy, before the next two chapters focus on historical construction of the process of getting to know your opponents and the way in which we consider information collection. Chapter 6 returns to the process of “informationalization” in the doctrine of armed forces, especially in Western countries, and methods of conducting network-centric warfare. The final chapter looks at the attempts of Western countries to adapt to the emergence of techno-guerrillas and new forms of hybrid warfare, and the resulting socio-strategic outcomes.


Regional Economic Development and History

Regional Economic Development and History

Author: Marijn Molema

Publisher: Routledge

Published: 2019-10-17

Total Pages: 209

ISBN-13: 0429818424

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Regional Studies is inextricably intertwined with history. Cultural and institutional legacies inform choices between different policy options, meaning that the past plays a crucial role in how we think about regional economic development, planning and policy. Through a selection of accessible theoretical, methodological and empirical chapters, this book explores the connections between regional development and history. Drawing on the expertise of scholars in several disciplines, it links history to topics such as behavioural geography, interdependence, divergence and regional and urban policy. This innovative book will be of interest to researchers across regional studies, planning, economic geography and economic history.