Download or read book Proceedings of the International Congress of Matematics 14 21 August 1958 written by and published by CUP Archive. This book was released on with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the International Congress of Mathematicians written by J. A. Todd and published by Cambridge University Press. This book was released on 2013-09-12 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the official record of the Congress of Mathematicians held in Edinburgh from 14 to 21 August 1958.
Download or read book In Measure Number and Weight written by Jens Hoyrup and published by State University of New York Press. This book was released on 1994-09-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jens Hoyrup, recognized as the leading authority in social studies of pre-modern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context. Hoyrup moves from comparing features of Sumero-Babylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge.
Download or read book Mathematics Without Borders written by Olli Lehto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.
Download or read book Proceedings of the International Congress of Mathematicians 14 21 August 1958 written by J. A. Todd and published by . This book was released on 1960 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic Methodology and Philosophy of Science Proceeding of the 1960 International Congress written by Lev D. Beklemishev and published by Elsevier. This book was released on 2009-06-15 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic, Methodology and Philosophy of Science, Proceeding of the 1960 International Congress
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2020-01-02 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics from the seventeenth century to the modern era. The volume begins with an exposition of the life and work of Professor Bolesław Sobociński. It then moves on to cover a collection of topics about twentieth-century philosophy of mathematics, including Fred Sommers’s creation of Traditional Formal Logic and Alexander Grothendieck’s work as a starting point for discussing analogies between commutative algebra and algebraic geometry. Continuing the focus on the philosophy of mathematics, the next selections discuss the mathematization of biology and address the study of numerical cognition. The volume then moves to discussing various aspects of mathematics education, including Charles Davies’s early book on the teaching of mathematics and the use of Gaussian Lemniscates in the classroom. A collection of papers on the history of mathematics in the nineteenth century closes out the volume, presenting a discussion of Gauss’s “Allgemeine Theorie des Erdmagnetismus” and a comparison of the geometric works of Desargues and La Hire. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Download or read book The International Commission on Mathematical Instruction 1908 2008 People Events and Challenges in Mathematics Education written by Fulvia Furinghetti and published by Springer Nature. This book was released on 2023-01-30 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the history of ICMI trough a prosopographical approach. In other words, it pays a lot of attention to the actors of the International movement. The portraits of the members of the ICMI Central Committees (1908-1936) and ICMI Executive Committees (1952-2008), and other eminent figures in ICMI history, who have passed away in the first 100 years of its life, are the guiding thread of the volume. Each portrait includes: · Biographical information · An outline of the various contributions made by the individual in question to the study of problems pertaining to mathematics teaching/education · Primary bibliography · Secondary with particular attention to the publications concerning the teaching of mathematics · Images: photos, book frontispieces, relevant manuscripts The authors of the portraits (30 altogether) are researchers in the history of mathematics, mathematics, and mathematics education. The focus on the officer’s role within ICMI and on his/her contributions to mathematics education, make the portraits different from usual biographies. In particular, since most officers were active mathematicians, the portraits shed light on aspects of their lesser-known activity. Connecting chapters place the action of these figures in the historical context and in the different phases of ICMI history.
Download or read book Dig Where You Stand 7 written by Kristín Bjarnadóttir and published by WTM-Verlag Münster. This book was released on 2023-10-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of mathematics education is an interdisciplinary research area that is experiencing a significant development and this book presents recent work in this area. This book is the result of the seventh conference ICHME (International Conference on the History of Mathematics Education) that took place at Erbacher Hof, Mainz (Germany) from 19th to 23rd of September 2022. Nowadays, the history of education is of the utmost importance for assessing the general development of the educational system(s) in which mathematics education occurs. Usually, the history of education is confined to history within a given civilization, country or nation. However, the quality of the research for a given nation is enhanced when situated among various specific cases, and comparative studies provide essential tools to broaden the perspectives to an international level. Moreover, mathematics, as a school discipline, has always functioned at the crossroads between general education and professional training, thus relating its teaching history to professional working environments as well. The 24 chapters in this book reflect this wide area of research.
Download or read book Mathematical Logic written by Stephen Cole Kleene and published by Courier Corporation. This book was released on 2013-04-22 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.
Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by Stewart Shapiro and published by OUP USA. This book was released on 2005-02-10 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Download or read book Selected Research Papers written by L.S. Pontryagn and published by CRC Press. This book was released on 2019-11-11 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the finest achievements in modern mathematics are two of L.S. Pontryagin's most notable contributions: Pontryagin duality and his general theory of characters of a locally compact commutative group. This book, the first in a four-volume set, contains the most important papers of this eminent mathematician, those which have influenced many generations of mathematicians worldwide. They chronicle the development of his work in many areas, from his early efforts in homology groups, duality theorems, and dimension theory to his later achievements in homotopic topology and optimal control theory. On 3 September 1983 Lev Semenovich Pontryagin was seventy-five. To mark this important event in the life of this outstanding contemporary mathematician we are beginning the publication of his scientific works in four volumes, according to a decision taken by the Mathematics Division of the USSR Academy of Sciences. The first volume contains the most important mathematical papers of L. S. Pontryagin and also includes a bibliography of his basic scientific works, the second is his well-known monograph Topological Groups, the third comprises two monographs, Foundations of Algebraic Topology and Smooth Manifolds and Their Applications in Homotopy Theory, and the fourth is a revised edition of The Mathematical Theory of Optimal Processes by L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko.
Download or read book The Theory of Models written by J.W. Addison and published by Elsevier. This book was released on 2014-05-27 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.
Download or read book L S Pontryagin Selected Works written by Lev Semenovich Pontri︠a︡gin and published by . This book was released on 1986 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the finest achievements in modern mathematics are two of L.S. Pontryagin's most notable contributions: Pontryagin duality and his general theory of characters of a locally compact commutative group. This book, the first in a four-volume set, contains the most important papers of this eminent mathematician, those which have influenced many generations of mathematicians worldwide. They chronicle the development of his work in many areas, from his early efforts in homology groups, duality theorems, and dimension theory to his later achievements in homotopic topology and optimal control theory.
Download or read book Algorithms Main Ideas and Applications written by Vladimir Uspensky and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today the notion of the algorithm is familiar not only to mathematicians. It forms a conceptual base for information processing; the existence of a corresponding algorithm makes automatic information processing possible. The theory of algorithms (together with mathematical logic ) forms the the oretical basis for modern computer science (see [Sem Us 86]; this article is called "Mathematical Logic in Computer Science and Computing Practice" and in its title mathematical logic is understood in a broad sense including the theory of algorithms). However, not everyone realizes that the word "algorithm" includes a transformed toponym Khorezm. Algorithms were named after a great sci entist of medieval East, is al-Khwarizmi (where al-Khwarizmi means "from Khorezm"). He lived between c. 783 and 850 B.C. and the year 1983 was chosen to celebrate his 1200th birthday. A short biography of al-Khwarizmi compiled in the tenth century starts as follows: "al-Khwarizmi. His name is Muhammad ibn Musa, he is from Khoresm" (cited according to [Bul Rozen Ah 83, p.8]).
Download or read book Dictionary of Modern American Philosophers written by John R. Shook and published by A&C Black. This book was released on 2005-01-01 with total page 2759 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dictionary of Modern American Philosophers includes both academic and non-academic philosophers, anda large number of female and minority thinkers whose work has been neglected. It includes those intellectualsinvolved in the development of psychology, pedagogy, sociology, anthropology, education, theology, politicalscience, and several other fields, before these disciplines came to be considered distinct from philosophy in thelate nineteenth century.Each entry contains a short biography of the writer, an exposition and analysis of his or her doctrines and ideas, abibliography of writings, and suggestions for further reading. While all the major post-Civil War philosophers arepresent, the most valuable feature of this dictionary is its coverage of a huge range of less well-known writers,including hundreds of presently obscure thinkers. In many cases, the Dictionary of Modern AmericanPhilosophers offers the first scholarly treatment of the life and work of certain writers. This book will be anindispensable reference work for scholars working on almost any aspect of modern American thought.
Download or read book In the Light of Logic written by Solomon Feferman and published by Oxford University Press, USA. This book was released on 1998 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.
