Hilbert Gottingen And The Development Of Modern Mathematics PDF Download
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| Author | : Joan Roselló |
| Publisher | : Cambridge Scholars Publishing |
| Total Pages | : 295 |
| Release | : 2019-02-01 |
| Genre | : Mathematics |
| ISBN | : 152752762X |
Download Hilbert, Göttingen and the Development of Modern Mathematics Book in PDF, ePub and Kindle
David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics. The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.
| Author | : David E. Rowe |
| Publisher | : Springer |
| Total Pages | : 448 |
| Release | : 2018-02-13 |
| Genre | : Mathematics |
| ISBN | : 3319678191 |
Download A Richer Picture of Mathematics Book in PDF, ePub and Kindle
Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.
| Author | : William Aspray |
| Publisher | : U of Minnesota Press |
| Total Pages | : 396 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 0816615675 |
Download History and Philosophy of Modern Mathematics Book in PDF, ePub and Kindle
History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
| Author | : Facts On File, Incorporated |
| Publisher | : Infobase Publishing |
| Total Pages | : |
| Release | : 2006 |
| Genre | : |
| ISBN | : 079109720X |
Download Modern Mathematics Book in PDF, ePub and Kindle
During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics: 1900 to 1950 provides an eye-opening introduction to those five historic decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth volume is an excellent choice for libraries aiming to provide a range of resources covering the history of mathematics.
| Author | : Martina Becvarova |
| Publisher | : World Scientific |
| Total Pages | : 623 |
| Release | : 2021-05-14 |
| Genre | : Mathematics |
| ISBN | : 1786349329 |
Download Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses Book in PDF, ePub and Kindle
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.
| Author | : Joong Fang |
| Publisher | : |
| Total Pages | : 216 |
| Release | : 1970 |
| Genre | : Mathematics |
| ISBN | : |
Download Towards a Philosophy of Modern Mathematics: Hilbert Book in PDF, ePub and Kindle
| Author | : Abraham A. Fraenkel |
| Publisher | : Birkhäuser |
| Total Pages | : 248 |
| Release | : 2016-10-21 |
| Genre | : Mathematics |
| ISBN | : 3319308475 |
Download Recollections of a Jewish Mathematician in Germany Book in PDF, ePub and Kindle
Abraham A. Fraenkel was a world-renowned mathematician in pre–Second World War Germany, whose work on set theory was fundamental to the development of modern mathematics. A friend of Albert Einstein, he knew many of the era’s acclaimed mathematicians personally. He moved to Israel (then Palestine under the British Mandate) in the early 1930s. In his autobiography Fraenkel describes his early years growing up as an Orthodox Jew in Germany and his development as a mathematician at the beginning of the twentieth century. This memoir, originally written in German in the 1960s, has now been translated into English, with an additional chapter covering the period from 1933 until his death in 1965 written by the editor, Jiska Cohen-Mansfield. Fraenkel describes the world of mathematics in Germany in the first half of the twentieth century, its origins and development, the systems influencing it, and its demise. He also paints a unique picture of the complex struggles within the world of Orthodox Jewry in Germany. In his personal life, Fraenkel merged these two worlds during periods of turmoil including the two world wars and the establishment of the state of Israel. Including a new foreword by Menachem Magidor Foreword to the 1967 German edition by Yehoshua Bar-Hillel
| Author | : David Hilbert |
| Publisher | : Read Books Ltd |
| Total Pages | : 139 |
| Release | : 2015-05-06 |
| Genre | : History |
| ISBN | : 1473395941 |
Download The Foundations of Geometry Book in PDF, ePub and Kindle
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
| Author | : José Ferreirós Domínguez |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 455 |
| Release | : 2006-04-27 |
| Genre | : Mathematics |
| ISBN | : 0198567936 |
Download The Architecture of Modern Mathematics Book in PDF, ePub and Kindle
Aimed at both students and researchers in philosophy, mathematics and the history of science, this edited volume, authored by leading scholars, highlights foremost developments in both the philosophy and history of modern mathematics.
| Author | : William Bragg Ewald |
| Publisher | : OUP Oxford |
| Total Pages | : 710 |
| Release | : 2005-04-21 |
| Genre | : Mathematics |
| ISBN | : 0191523100 |
Download From Kant to Hilbert Volume 2 Book in PDF, ePub and Kindle
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
