Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture

Download Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642224644
Total Pages : 297 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!


Book Synopsis Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture by : Birgit Bergmann

Download or read book Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture written by Birgit Bergmann and published by Springer Science & Business Media. This book was released on 2012-10-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking countries during the period between the legal and political emancipation of the Jews in the 19th century and their persecution in Nazi Germany. It highlights the important role Jewish mathematicians played in all areas of mathematical culture during the Wilhelmine Empire and the Weimar Republic, and recalls their emigration, flight or death after 1933.

German–Jewish Studies

Download German–Jewish Studies PDF Online Free

Author :
Publisher : Berghahn Books
ISBN 13 : 1800736789
Total Pages : 310 pages
Book Rating : 4.8/5 (7 download)

DOWNLOAD NOW!


Book Synopsis German–Jewish Studies by : Kerry Wallach

Download or read book German–Jewish Studies written by Kerry Wallach and published by Berghahn Books. This book was released on 2022-10-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a field, German-Jewish Studies emphasizes the dangers of nationalism, monoculturalism, and ethnocentrism, while making room for multilingual and transnational perspectives with questions surrounding migration, refugees, exile, and precarity. Focussing on the relevance and utility of the field for the twenty-first century, German-Jewish Studies explores why studying and applying German-Jewish history and culture must evolve and be given further attention today. The volume brings together an interdisciplinary range of scholars to reconsider the history of antisemitism—as well as intersections of antisemitism with racism and colonialism—and how connections to German Jews shed light on the continuities, ruptures, anxieties, and possible futures of German-speaking Jews and their legacies.

A Richer Picture of Mathematics

Download A Richer Picture of Mathematics PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319678191
Total Pages : 448 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!


Book Synopsis A Richer Picture of Mathematics by : David E. Rowe

Download or read book A Richer Picture of Mathematics written by David E. Rowe and published by Springer. This book was released on 2018-02-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Proving It Her Way

Download Proving It Her Way PDF Online Free

Author :
Publisher :
ISBN 13 : 3030628116
Total Pages : 259 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!


Book Synopsis Proving It Her Way by : David E. Rowe

Download or read book Proving It Her Way written by David E. Rowe and published by . This book was released on 2020 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name Emmy Noether is one of the most celebrated in the history of mathematics. A brilliant algebraist and iconic figure for women in modern science, Noether exerted a strong influence on the younger mathematicians of her time and long thereafter; today, she is known worldwide as the "mother of modern algebra." Drawing on original archival material and recent research, this book follows Emmy Noethers career from her early years in Erlangen up until her tragic death in the United States. After solving a major outstanding problem in Einsteins theory of relativity, she was finally able to join the Göttingen faculty in 1919. Proving It Her Way offers a new perspective on an extraordinary career, first, by focusing on important figures in Noethers life and, second, by showing how she selflessly promoted the careers of several other talented individuals. By exploring her mathematical world, it aims to convey the personality and impact of a remarkable mathematician who literally changed the face of modern mathematics, despite the fact that, as a woman, she never held a regular professorship. Written for a general audience, this study uncovers the human dimensions of Noethers key relationships with a younger generation of mathematicians. Thematically, the authors took inspiration from their cooperation with the ensemble portraittheater Vienna in producing the play "Diving into Math with Emmy Noether." Four of the young mathematicians portrayed in Proving It Her Way - B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky - also appear in "Diving into Math.".

Emmy Noether – Mathematician Extraordinaire

Download Emmy Noether – Mathematician Extraordinaire PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030638103
Total Pages : 339 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!


Book Synopsis Emmy Noether – Mathematician Extraordinaire by : David E. Rowe

Download or read book Emmy Noether – Mathematician Extraordinaire written by David E. Rowe and published by Springer Nature. This book was released on 2021-01-09 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although she was famous as the "mother of modern algebra," Emmy Noether’s life and work have never been the subject of an authoritative scientific biography. Emmy Noether – Mathematician Extraordinaire represents the most comprehensive study of this singularly important mathematician to date. Focusing on key turning points, it aims to provide an overall interpretation of Noether’s intellectual development while offering a new assessment of her role in transforming the mathematics of the twentieth century. Hermann Weyl, her colleague before both fled to the United States in 1933, fully recognized that Noether’s dynamic school was the very heart and soul of the famous Göttingen community. Beyond her immediate circle of students, Emmy Noether’s lectures and seminars drew talented mathematicians from all over the world. Four of the most important were B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky. Noether’s classic papers on ideal theory inspired van der Waerden to recast his research in algebraic geometry. Her lectures on group theory motivated Alexandrov to develop links between point set topology and combinatorial methods. Noether’s vision for a new approach to algebraic number theory gave Hasse the impetus to pursue a line of research that led to the Brauer–Hasse–Noether Theorem, whereas her abstract style clashed with Taussky’s approach to classical class field theory during a difficult time when both were trying to find their footing in a foreign country. Although similar to Proving It Her Way: Emmy Noether, a Life in Mathematics, this lengthier study addresses mathematically minded readers. Thus, it presents a detailed analysis of Emmy Noether’s work with Hilbert and Klein on mathematical problems connected with Einstein’s theory of relativity. These efforts culminated with her famous paper "Invariant Variational Problems," published one year before she joined the Göttingen faculty in 1919.

The Mathematical Imagination

Download The Mathematical Imagination PDF Online Free

Author :
Publisher : Fordham Univ Press
ISBN 13 : 0823283852
Total Pages : 287 pages
Book Rating : 4.8/5 (232 download)

DOWNLOAD NOW!


Book Synopsis The Mathematical Imagination by : Matthew Handelman

Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.

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

Download Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 1786349329
Total Pages : 623 pages
Book Rating : 4.7/5 (863 download)

DOWNLOAD NOW!


Book Synopsis Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses by : Martina Becvarova

Download or read book Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses written by Martina Becvarova and published by World Scientific. This book was released on 2021-05-14 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

In Foreign Lands: The Migration of Scientists for Political or Economic Reasons

Download In Foreign Lands: The Migration of Scientists for Political or Economic Reasons PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030802493
Total Pages : 405 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!


Book Synopsis In Foreign Lands: The Migration of Scientists for Political or Economic Reasons by : Maria Teresa Borgato

Download or read book In Foreign Lands: The Migration of Scientists for Political or Economic Reasons written by Maria Teresa Borgato and published by Springer Nature. This book was released on 2022-04-13 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume collects the stories of mathematicians and scientists who have spent and developed parts of their careers and life in countries other than those of their origin. The reasons may have been different in different periods but were often driven by political or economic circumstances: The lack of suitable employment opportunities in their home countries, adverse political systems, and wars have led to the emigration of scientists. The volume shows that these movements have played an important role in spreading scientific knowledge and have often changed the scientific landscape, tradition and future of studies and research fields. The book analyses in particular: aspects of Euler’s, Lagrange’s and Boscovich’s scientific biographies, migrations of scientists from France, Spain and Greece to Russia in the eighteenth and nineteenth centuries, and from Russia to France in the twentieth century, exiles from Italy before the Italian Risorgimento, migrations inside Europe and the escape of mathematicians from Nazi-fascist Europe, between the two World Wars, as well as the mobility of experts around the world. It includes selected contributions from the symposium In Foreign Lands: The Migration of Scientists for Political or Economic Reasons held at the Conference of the International Academy of the History of Science in Athens (September 2019).

Voices from Exile

Download Voices from Exile PDF Online Free

Author :
Publisher : BRILL
ISBN 13 : 9004296395
Total Pages : 351 pages
Book Rating : 4.0/5 (42 download)

DOWNLOAD NOW!


Book Synopsis Voices from Exile by :

Download or read book Voices from Exile written by and published by BRILL. This book was released on 2015-11-24 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixteen essays in this volume are a tribute to Hamish Ritchie’s deep interest in exile as a literary and historical phenomenon. The first eight focus on the British and Irish context, including studies of Jürgen Kuczynski and his family, Martin Miller, Lilly Kann, Hermann Sinsheimer, Albin Stuebs, Ludwig Hopf and Paul Bondy, as well as contributions on the Association of Jewish Refugees and the exile experience as reflected in Klaus Mann’s Der Vulkan. The following four contributions widen the discussion to encompass Germany, the Netherlands, Austria and Yugoslavia by focusing on the diaries of Anne Frank and Etty Hillesum, the early poetry of Bertolt Brecht, and works by Vladimir Vertlib, Aleksandar Ajzinberg, and David Albahari. The historical dimension is deepened with contributions on William Joyce, Joseph Jonas, the marginalisation of the mass emigration of the Jews within German memory, and the ‘exile’ of princesses for whom until recent times marriage often meant a life far from home.

Menahem Max Schiffer: Selected Papers Volume 2

Download Menahem Max Schiffer: Selected Papers Volume 2 PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461479495
Total Pages : 557 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Menahem Max Schiffer: Selected Papers Volume 2 by : Peter Duren

Download or read book Menahem Max Schiffer: Selected Papers Volume 2 written by Peter Duren and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.

The Cambridge History of Judaism: Volume 8, The Modern World, 1815–2000

Download The Cambridge History of Judaism: Volume 8, The Modern World, 1815–2000 PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1108508510
Total Pages : 1901 pages
Book Rating : 4.1/5 (85 download)

DOWNLOAD NOW!


Book Synopsis The Cambridge History of Judaism: Volume 8, The Modern World, 1815–2000 by : Mitchell B. Hart

Download or read book The Cambridge History of Judaism: Volume 8, The Modern World, 1815–2000 written by Mitchell B. Hart and published by Cambridge University Press. This book was released on 2017-09-28 with total page 1901 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eighth and final volume of The Cambridge History of Judaism covers the period from roughly 1815–2000. Exploring the breadth and depth of Jewish societies and their manifold engagements with aspects of the modern world, it offers overviews of modern Jewish history, as well as more focused essays on political, social, economic, intellectual and cultural developments. The first part presents a series of interlocking surveys that address the history of diverse areas of Jewish settlement. The second part is organized around the emancipation. Here, chapter themes are grouped around the challenges posed by and to this elemental feature of Jewish life in the modern period. The third part adopts a thematic approach organized around the category 'culture', with the goal of casting a wide net in terms of perspectives, concepts and topics. The final part then focuses on the twentieth century, offering readers a sense of the dynamic nature of Judaism and Jewish identities and affiliations.

Max Dehn

Download Max Dehn PDF Online Free

Author :
Publisher : American Mathematical Society
ISBN 13 : 1470461064
Total Pages : 292 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Max Dehn by : Jemma Lorenat

Download or read book Max Dehn written by Jemma Lorenat and published by American Mathematical Society. This book was released on 2024-10-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Dehn (1878?1952) is known to mathematicians today for his seminal contributions to geometry and topology?Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert?s famous problems. However, Dehn's influence as a scholar and teacher extended far beyond his mathematics. Dehn also lived a remarkable life, described in this book in three phases. The first phase focuses on his early career as one of David Hilbert?s most gifted students. The second, after World War I, treats his time in Frankfurt where he led an intimate community of mathematicians in explorations of historical texts. The final phase, after 1938, concerns his flight from Nazi Germany to Scandinavia and eventually to the United States where, after various teaching experiences, the Dehns settled at iconic Black Mountain College. This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn?s mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.

Soviet SCI_BERIA

Download Soviet SCI_BERIA PDF Online Free

Author :
Publisher : Bloomsbury Publishing
ISBN 13 : 1350165859
Total Pages : 251 pages
Book Rating : 4.3/5 (51 download)

DOWNLOAD NOW!


Book Synopsis Soviet SCI_BERIA by : Ksenia Tatarchenko

Download or read book Soviet SCI_BERIA written by Ksenia Tatarchenko and published by Bloomsbury Publishing. This book was released on 2024-10-03 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: At first glance, the Novosibirsk Scientific Center, or Akademgorodok, appears as an outlier in academic excellence. This 'science city' is renowned for a preeminent university, dozens of research institutes, and a thriving technopark. At home, it is an emblem of Russian innovation; abroad, it is often portrayed as a potential threat, a breeding ground of cyber soldiers. Though Siberia has been the main source of post-1991 Russian carbon revenues, its soviet history and cold war legacy of internationalism demonstrates that territorial and scientific dimensions interlocked the moment the Siberian Branch of the Soviet Academy of Sciences was created in 1957. Drawing on a wide range of previously unexplored archives, Soviet SCI_BERIA focuses on how the post-Stalinist Siberia was redefined and represented through the ideal of rational development, the late socialist innovation practices, and the relationship between experts and the state. It offers a fresh insight into the transition from Soviet to post-Soviet Akademgorodok. In doing so, Tatarchenko not only fosters a conversation between history, area studies, and science studies but also sheds new light on Soviet modernity and the limits of its transformative projects.

Felix Klein

Download Felix Klein PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030757854
Total Pages : 677 pages
Book Rating : 4.0/5 (37 download)

DOWNLOAD NOW!


Book Synopsis Felix Klein by : Renate Tobies

Download or read book Felix Klein written by Renate Tobies and published by Springer Nature. This book was released on 2021-06-23 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: About Felix Klein, the famous Greek mathematician Constantin Carathéodory once said: “It is only by illuminating him from all angles that one can come to understand his significance.” The author of this biography has done just this. A detailed study of original sources has made it possible to uncover new connections; to create a more precise representation of this important mathematician, scientific organizer, and educational reformer; and to identify misconceptions. Because of his edition of Julius Plücker’s work on line geometry and due to his own contributions to non-Euclidean geometry, Klein was already well known abroad before he received his first full professorship at the age of 23. By exchanging ideas with his most important cooperation partner, the Norwegian Sophus Lie, Klein formulated his Erlangen Program. Various other visionary programs followed, in which Klein involved mathematicians from Germany and abroad. Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere. Despite what has often been claimed, it must be emphasized that Klein expressly opposed national chauvinism. He promoted mathematically gifted individuals regardless of their nationality, religion, or gender. Many of his works have been translated into English, French, Italian, Russian, and other languages; more than 300 supporters from around the world made it possible for his portrait to be painted by the prominent impressionist Max Liebermann. Inspired by international developments, Klein paved the way for women to work in the field of mathematics. He was instrumental in reforming mathematical education, and he endorsed an understanding of mathematics that affirmed its cultural importance as well as its fundamental significance to scientific and technological progress.

Agnon’s Story

Download Agnon’s Story PDF Online Free

Author :
Publisher : BRILL
ISBN 13 : 9004367780
Total Pages : 773 pages
Book Rating : 4.0/5 (43 download)

DOWNLOAD NOW!


Book Synopsis Agnon’s Story by : Avner Falk

Download or read book Agnon’s Story written by Avner Falk and published by BRILL. This book was released on 2018-10-22 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: Agnon’s Story is the first complete psychoanalytic biography of the Nobel-Prize-winning Hebrew writer S.Y. Agnon. It investigates the hidden links between his stories and his biography. Agnon was deeply ambivalent about the most important emotional “objects” of his life, in particular his “father-teacher,” his ailing, depressive and symbiotic mother, his emotionally-fragile wife, whom he named after her and his adopted “home-land” of Israel. Yet he maintained an incredible emotional resiliency and ability to “sublimate” his emotional pain into works of art. This biography seeks to investigate the emotional character of his literary canon, his ambivalence to his family and the underlying narcissistic grandiosity of his famous “modesty.”

Allies and Rivals

Download Allies and Rivals PDF Online Free

Author :
Publisher : University of Chicago Press
ISBN 13 : 022634195X
Total Pages : 403 pages
Book Rating : 4.2/5 (263 download)

DOWNLOAD NOW!


Book Synopsis Allies and Rivals by : Emily J. Levine

Download or read book Allies and Rivals written by Emily J. Levine and published by University of Chicago Press. This book was released on 2021-09-27 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first history of the ascent of American higher education told through the lens of German-American exchange. During the nineteenth century, nearly ten thousand Americans traveled to Germany to study in universities renowned for their research and teaching. By the mid-twentieth century, American institutions led the world. How did America become the center of excellence in higher education? And what does that story reveal about who will lead in the twenty-first century? Allies and Rivals is the first history of the ascent of American higher education seen through the lens of German-American exchange. In a series of compelling portraits of such leaders as Wilhelm von Humboldt, Martha Carey Thomas, and W. E. B. Du Bois, Emily J. Levine shows how academic innovators on both sides of the Atlantic competed and collaborated to shape the research university. Even as nations sought world dominance through scholarship, universities retained values apart from politics and economics. Open borders enabled Americans to unite the English college and German PhD to create the modern research university, a hybrid now replicated the world over. In a captivating narrative spanning one hundred years, Levine upends notions of the university as a timeless ideal, restoring the contemporary university to its rightful place in history. In so doing she reveals that innovation in the twentieth century was rooted in international cooperation—a crucial lesson that bears remembering today.

A Mathematician's Journeys

Download A Mathematician's Journeys PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319258656
Total Pages : 349 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!


Book Synopsis A Mathematician's Journeys by : Alexander Jones

Download or read book A Mathematician's Journeys written by Alexander Jones and published by Springer. This book was released on 2016-02-03 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.