Download or read book History of Continued Fractions and Pad Approximants written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...

Download or read book Sotheran s Price Current of Literature written by Henry Sotheran Ltd and published by . This book was released on 1925 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Isis Cumulative Bibliography written by Magda Whitrow and published by . This book was released on 1971 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: A three volume index by personality, institution and subject to the critical bibliographies on the history of science published in ISIS from 1913 to 1965. References in the bibliographies are to items in books, journals, reports, documents, etc. An excellent starting point for researching a topic in the history of science.

Download or read book Union Catalog of Serials Currently Received in the Libraries of the University of Wisconsin Madison written by University of Wisconsin--Madison. Libraries and published by . This book was released on 1982 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nature s Enigma written by Virginia Parker Dawson and published by American Philosophical Society. This book was released on 1987 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two striking discoveries made 1740 a turning point in the history of 18th-century biology. Charles Bonnet established that aphids could reproduce without male fertilization. Shortly afterwards Abraham Trembley proved that a tiny aquatic animal, the fresh water polyp, or hydra, could regenerate from cuttings like some plants. The discovery of the polyp was important because of the disturbing metaphysical issues that it raised. In their letters written during the decade of the 1740s to Reaumur, the great French Academician, both Trembley & Bonnet referred to the polyp as an enigma. Not only did it seem to present a new mode of animal reproduction, previously unsuspected, but it called into question the prevailing mechanistic view of animal biology & brought into focus the problem of animal soul. Drawing on some of the most illuminating letters from the private archives of the Trembley family, this study focuses on the discovery of the polyp, using the correspondence of Bonnet & Trembley to understand their common Genevan background & their possible differences in approach from that of Reaumur.

Download or read book Emergence of the Theory of Lie Groups written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.

Download or read book Amphibia Anura I written by Fr. Nieden and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Amphibia. Anura I.".

Download or read book Dictionary Catalog of the Research Libraries of the New York Public Library 1911 1971 written by New York Public Library. Research Libraries and published by . This book was released on 1979 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reviews in Number Theory as Printed in Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive written by William Judson LeVeque and published by . This book was released on 1974 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The National Union Catalog Pre 1956 Imprints written by and published by . This book was released on 1968 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Explorations and False Trails written by Jens Høyrup and published by Springer Nature. This book was released on 2024 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique perspective on the history of European algebra up to the advent of Viète and Descartes. The standard version of this history is written on the basis of a narrow and misleading source basis: the Latin translations of al-Khwārizmī, Fibonacci's Liber abbaci, Luca Pacioli's Summa, Cardano's Ars magna -- with neither Fibonacci nor Pacioli being read in detail. The existence of the Italian abacus and German cossic algebra is at most taken note of but they are not read, leading to the idea that Viète's and Descartes' use of genuine symbolism (not only abbreviations), many unknowns, and abstract coefficients seem to be miraculous leaps. This book traces the meandering development of all these techniques along with the mostly ignored but very important parenthesis function, by means of detailed readings of all pertinent sources, including the abacus and cossic algebra and French algebra from Chuquet to Gosselin. It argues for a necessary distinction between abbreviating glyphs and genuine symbols serving within a symbolic syntax, which allows it to trace the emergence of symbolic calculation. Characterization of the mathematical practice of the environment within which Viète and Descartes moved allows for an explanation of how these two figures did not even need to invent abstract coefficients but rather received them as a gift.

Download or read book New Serial Titles written by and published by . This book was released on 1986 with total page 2532 pages. Available in PDF, EPUB and Kindle. Book excerpt: A union list of serials commencing publication after Dec. 31, 1949.

Download or read book Hortus Suburbanus Londinensis written by Robert Sweet and published by . This book was released on 1818 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lipman Bers a Life in Mathematics written by Linda Keen and published by American Mathematical Soc.. This book was released on 2015-09-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis--quasiconformal mappings and moduli of Riemann surfaces--and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture. The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.

Download or read book Progress in Physics vol 3 2008 written by Dmitri Rabounski and published by Infinite Study. This book was released on with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.

Download or read book International Catalogue of Scientific Literature 1901 14 written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annales Scientifiques de L cole Normale Sup rieure written by École normale supérieure (France) and published by . This book was released on 1900 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: