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

Author: Martina Becvarova

Publisher: World Scientific

ISBN: 9781786349323

Category: Mathematics

Page: 624

View: 951

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.
Mathematics in Victorian Britain

Author: photographer and broadcaster Foreword by Dr Adam Hart-Davis

Publisher: Oxford University Press

ISBN: 9780191627934

Category: Mathematics

Page: 477

View: 661

During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention. That spirit of creativity and ingenuity was reflected in the massive expansion in scope and complexity of many scientific disciplines during this time, with subjects evolving rapidly and the creation of many new disciplines. The subject of mathematics was no exception and many of the advances made by mathematicians during the Victorian period are still familiar today; matrices, vectors, Boolean algebra, histograms, and standard deviation were just some of the innovations pioneered by these mathematicians. This book constitutes perhaps the first general survey of the mathematics of the Victorian period. It assembles in a single source research on the history of Victorian mathematics that would otherwise be out of the reach of the general reader. It charts the growth and institutional development of mathematics as a profession through the course of the 19th century in England, Scotland, Ireland, and across the British Empire. It then focuses on developments in specific mathematical areas, with chapters ranging from developments in pure mathematical topics (such as geometry, algebra, and logic) to Victorian work in the applied side of the subject (including statistics, calculating machines, and astronomy). Along the way, we encounter a host of mathematical scholars, some very well known (such as Charles Babbage, James Clerk Maxwell, Florence Nightingale, and Lewis Carroll), others largely forgotten, but who all contributed to the development of Victorian mathematics.
Numerical Analysis: Historical Developments in the 20th Century

Author: C. Brezinski

Publisher: Elsevier

ISBN: 9780444598585

Category: Mathematics

Page: 512

View: 608

Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.
Writing the History of Mathematics: Its Historical Development

Author: Joseph W. Dauben

Publisher: Springer Science & Business Media

ISBN: 3764361670

Category: Mathematics

Page: 776

View: 448

As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Public Policy Analysis

Author: William N. Dunn

Publisher: Routledge

ISBN: 9781317344841

Category: Political Science

Page: 481

View: 731

Dunn presents a problem-oriented, integrated, multidisciplinary synthesis of concepts and methods of public policy analysis. The text draws from political science, public administration, economics, decision analysis, and social and political theory.
How to Do Systems Analysis

Author: John E. Gibson

Publisher: John Wiley & Sons

ISBN: 9781119179580

Category: Technology & Engineering

Page: 304

View: 550

Presents the foundational systemic thinking needed to conceive systems that address complex socio-technical problems This book emphasizes the underlying systems analysis components and associated thought processes. The authors describe an approach that is appropriate for complex systems in diverse disciplines complemented by a case-based pedagogy for teaching systems analysis that includes numerous cases that can be used to teach both the art and methods of systems analysis. Covers the six major phases of systems analysis, as well as goal development, the index of performance, evaluating candidate solutions, managing systems teams, project management, and more Presents the core concepts of a general systems analysis methodology Introduces, motivates, and illustrates the case pedagogy as a means of teaching and practicing systems analysis concepts Provides numerous cases that challenge readers to practice systems thinking and the systems methodology How to Do Systems Analysis: Primer and Casebook is a reference for professionals in all fields that need systems analysis, such as telecommunications, transportation, business consulting, financial services, and healthcare. This book also serves as a textbook for undergraduate and graduate students in systems analysis courses in business schools, engineering schools, policy programs, and any course that promotes systems thinking.
Proceedings of the 2022 International Conference on Mathematical Statistics and Economic Analysis (MSEA 2022)

Author: Gaikar Vilas Bhau

Publisher: Springer Nature

ISBN: 9789464630428

Category: Mathematics

Page: 1514

View: 824

This is an open access book. 2022 International Conference on Mathematical Statistics and Economic Analysis(MSEA 2022) will be held in Dalian, China from May 27 to 29, 2022. Based on probability theory, mathematical statistics studies the statistical regularity of a large number of random phenomena, and infers and forecasts the whole. Economic development is very important to people's life and the country. Through data statistics and analysis, we can quickly understand the law of economic development. This conference combines mathematical statistics and economic analysis for the first time to explore the relationship between them, so as to provide a platform for experts and scholars in the field of mathematical statistics and economic analysis to exchange and discuss.
Elementary Functional Analysis

Author: Barbara MacCluer

Publisher: Springer Science & Business Media

ISBN: 9780387855295

Category: Mathematics

Page: 208

View: 515

Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical world view. Its appearance was the inevitable consequence of the evolution of all of nineteenth-century mathematics, in particular classical analysis and mathematical physics. Its original basis was formed by Cantor’s theory of sets and linear algebra. Its existence answered the question of how to state general principles of a broadly interpreted analysis in a way suitable for the most diverse situations. A.M. Vershik ([45], p. 438). This text evolved from the content of a one semester introductory course in fu- tional analysis that I have taught a number of times since 1996 at the University of Virginia. My students have included ?rst and second year graduate students prep- ing for thesis work in analysis, algebra, or topology, graduate students in various departments in the School of Engineering and Applied Science, and several und- graduate mathematics or physics majors. After a ?rst draft of the manuscript was completed, it was also used for an independent reading course for several und- graduates preparing for graduate school.
Fundamentals of Algebraic Microlocal Analysis

Author: Goro Kato

Publisher: CRC Press

ISBN: 9781000105186

Category: Mathematics

Page: 316

View: 185

"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 and War

Author: Bernhelm Booß-Bavnbek

Publisher: Birkhäuser

ISBN: 9783034880930

Category: Mathematics

Page: 420

View: 711

Mathematics has for centuries been stimulated, financed and credited by military purposes. Some mathematical thoughts and mathematical technology have also been vital in war. During World War II mathematical work by the Anti-Hitler coalition was part of an aspiration to serve humanity and not help destroy it. At present, it is not an easy task to view the bellicose potentials of mathematics in a proper perspective. The book presents historical evidence and recent changes in the interaction between mathematics and the military. It discusses the new mathematically enhanced development of military technology which seems to have changed the very character of modern warfare.