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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 84
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 84
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Book Description
Author: Alexander Soifer
Publisher: Springer Science & Business Media
ISBN: 0387746420
Category : Mathematics
Languages : en
Pages : 619
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Book Description
This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.
Author: George N. Watson
Publisher:
ISBN:
Category : Bessel functions
Languages : en
Pages : 822
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Book Description
Author: R Sivaramakrishnan
Publisher: Routledge
ISBN: 1351460528
Category : Mathematics
Languages : en
Pages : 406
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Book Description
This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains many structure theorems basic to the study of arithmetic functions, including several previously unpublished proofs. The author is head of the Dept. of Mathemati
Author: R.B. Burckel
Publisher: Birkhäuser
ISBN: 3034893744
Category : Mathematics
Languages : en
Pages : 572
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Book Description
This book is an attempt to cover some of the salient features of classical, one variable complex function theory. The approach is analytic, as opposed to geometric, but the methods of all three of the principal schools (those of Cauchy, Riemann and Weierstrass) are developed and exploited. The book goes deeply into several topics (e.g. convergence theory and plane topology), more than is customary in introductory texts, and extensive chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics, and offer suggestions for further reading. These are keyed to a bibliography of over 1,300 books and papers, for each of which volume and page numbers of a review in one of the major reviewing journals is cited. These notes and bibliography should be of considerable value to the expert as well as to the novice. For the latter there are many references to such thoroughly accessible journals as the American Mathematical Monthly and L'Enseignement Mathématique. Moreover, the actual prerequisites for reading the book are quite modest; for example, the exposition assumes no prior knowledge of manifold theory, and continuity of the Riemann map on the boundary is treated without measure theory.
Author: Dick van Lente
Publisher: Morgan & Claypool
ISBN: 1450398189
Category : Computers
Languages : en
Pages : 556
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Book Description
When electronic digital computers first appeared after World War II, they appeared as a revolutionary force. Business management, the world of work, administrative life, the nation state, and soon enough everyday life were expected to change dramatically with these machines’ use. Ever since, diverse prophecies of computing have continually emerged, through to the present day. As computing spread beyond the US and UK, such prophecies emerged from strikingly different economic, political, and cultural conditions. This volume explores how these expectations differed, assesses unexpected commonalities, and suggests ways to understand the divergences and convergences. This book examines thirteen countries, based on source material in ten different languages—the effort of an international team of scholars. In addition to analyses of debates, political changes, and popular speculations, we also show a wide range of pictorial representations of "the future with computers."
Author: Klaas van Berkel
Publisher: BRILL
ISBN: 9004620230
Category : Architecture
Languages : en
Pages : 703
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Book Description
In the 400 years of its modern history the Netherlands has produced a distinguished array of eminent mathematicians, scientists and medical researchers including many Nobel-prize winners and other internationally recognised figures, from Stevin, Snel, and Huygens in the 17th century to Lorentz, Kammerlingh Onnes, Buys Ballot, De Vries, de Sitter, and Oort in the 19th and 20th centuries. Yet it has often been noted that the history of science in the Netherlands is underepresented in the international literature. The handbook A History of Science in The Netherlands aims to correct this situation by providing a chronological and thematic survey of the field from the 16th century to the present, essays on selected aspects of science in the Netherlands, and reference biographies of about 65 important Dutch scientists. Written by more than 10 experts from Europe and North America, the handbook is the standard English-language reference work for the field.
Author: Alexander Soifer
Publisher: Springer Nature
ISBN: 1071635972
Category :
Languages : en
Pages : 838
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Book Description
Author: Hans van Ditmarsch
Publisher: Springer
ISBN: 3319166948
Category : Mathematics
Languages : en
Pages : 188
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Book Description
A group of 100 prisoners, all together in the prison dining area, are told that they will be all put in isolation cells and then will be interrogated one by one in a room containing a light with an on/off switch. The prisoners may communicate with one another by toggling the light switch (and that is the only way in which they can communicate). The light is initially switched off. There is no fixed order of interrogation, or interval between interrogations, and the same prisoner may be interrogated again at any stage. When interrogated, a prisoner can either do nothing, or toggle the light switch, or announce that all prisoners have been interrogated. If that announcement is true, the prisoners will (all) be set free, but if it is false, they will all be executed. While still in the dining room, and before the prisoners go to their isolation cells (forever), can the prisoners agree on a protocol that will set them free? At first glance, this riddle may seem impossible to solve: how can all of the necessary information be transmitted by the prisoners using only a single light bulb? There is indeed a solution, however, and it can be found by reasoning about knowledge. This book provides a guided tour through eleven classic logic puzzles that are engaging and challenging and often surprising in their solutions. These riddles revolve around the characters’ declarations of knowledge, ignorance, and the appearance that they are contradicting themselves in some way. Each chapter focuses on one puzzle, which the authors break down in order to guide the reader toward the solution. For general readers and students with little technical knowledge of mathematics, One Hundred Prisoners and a Light Bulb will be an accessible and fun introduction to epistemic logic. Additionally, more advanced students and their teachers will find it to be a valuable reference text for introductory course work and further study.
Author: Sacha la Bastide-van Gemert
Publisher: Springer
ISBN: 9401793344
Category : Education
Languages : en
Pages : 393
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Book Description
This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.
