Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematics. --- History. --- History of Mathematical Sciences.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematics. --- History. --- History of Mathematical Sciences.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematics. --- History. --- History of Mathematical Sciences.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Kenneth Ownsworth May (1915-1977) was a brilliant and influential mathematician, historian, and educator who founded the journal Historia Mathematica as well as the Canadian Society for the History and Philosophy of Mathematics. He viewed the practice of the history of mathematics as a unique melding of the crafts of mathematician and historian. This entails sensitivity to the mathematical content of the subject and to the various contexts in which it can be understood. Mathematical practitioners, for pedagogical reasons or to contextualize their own work, tend to focus on finding the antecedents for current mathematical theories in a search for how particular subdisciplines and results came to be as they are today. On the other hand, historians of mathematics bypass the current state of affairs, and are more interested in questions that bear on the changing nature of the discipline itself. The papers contained in this volume exhibit 12 outstanding examples of historians approaching their craft in distinct ways, yet consistent with Kenneth May's vision. Each paper is based on a keynote address, known as the Kenneth O. May Lecture, delivered at the annual meeting of the Canadian Society for the History and Philosophy of Mathematics. This volume includes the following contributions: * Ivor Grattan-Guinness, History or Heritage? An Important Distinction in Mathematics and for Mathematics Education * Alexander Jones, Ptolemy's Mathematical Models and their Meaning * Jim Bennett, Mathematics, Instruments and Navigation, 1600-1800 * Judith Grabiner, Was Newton's Calculus a Dead End? The Continental Influence of MacLaurin's Treatise of Fluxions * Rüdiger Thiele, The Mathematics and Science of Leonhard Euler (1707-1783) * Thomas Archibald and Louis Charbonneau, Mathematics in Canada before 1945: A Preliminary Survey * Karen Parshall, The Emergence of the American Mathematical Research Community * Volker Peckhaus, 19th-Century Logic Between Philosophy and Mathematics * Joseph Dauben, The Battle for Cantorian Set Theory * Rüdiger Thiele, Hilbert and His Twenty-Four Problems * Stuart Shanker, Turing and the Origins of AI * Anne Hibner Koblitz, Mathematics and Gender: Some Cross-Cultural Observations.

Mathematics. --- History. --- History of Mathematical Sciences. --- Mathematics, general. --- Math --- Science --- Annals --- Auxiliary sciences of history --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book offers an accessible and in-depth look at some of the most  important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math. Features of this book include: -Dozens of diagrams and photographs of original sources -Original translation of Rafael Bombelli's contribution to the study of complex numbers -A detailed history of the calculus as it was being written, and a new analysis of Leibniz's writings on the subject -The first English translation of the first published proof of the fundamental theorem of Calculus, given by James Gregory in 1668 -An accessible discussion of James Gregory's work, including his invention of Taylor series forty years before Taylor -An original English translation of extended portions of works by José Anastácio da Cunha, a little known but important contributor to the convergence of series and the differential calculus, some of whose ideas were later attributed to Cauchy.

Mathematics --- History. --- Math --- Science --- Mathematics. --- History of Mathematical Sciences. --- Mathematics, general. --- Annals --- Auxiliary sciences of history