Download or read book Some Properties of Rational Quintic Equations written by Daniel Boone Lloyd and published by . This book was released on 1940 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Galois Theory written by Askold Khovanskii and published by Springer. This book was released on 2014-10-10 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard–Vessiot theory, and Liouville's results on the class of functions representable by quadratures are also discussed. A unique feature of this book is that recent results are presented in the same elementary manner as classical Galois theory, which will make the book useful and interesting to readers with varied backgrounds in mathematics, from undergraduate students to researchers. In this English-language edition, extra material has been added (Appendices A–D), the last two of which were written jointly with Yura Burda.
Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1965 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Collected Mathematical Papers of Arthur Cayley written by Arthur Cayley and published by . This book was released on 1896 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of Title entries of Books and Other Articles Entered in the Office of the Librarian of Congress at Washington Under the Copyright Law Wherein the Copyright Has Been Completed by the Deposit of Two Copies in the Office written by Library of Congress. Copyright Office and published by . This book was released on 1941 with total page 1536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1928 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalog of Copyright Entries Part 1 B Group 2 Pamphlets Etc New Series written by Library of Congress. Copyright Office and published by . This book was released on 1941 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica written by Hugh Chisholm and published by . This book was released on 1926 with total page 2004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclopaedia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eleventh edition was developed during the encyclopaedia's transition from a British to an American publication. Some of its articles were written by the best-known scholars of the time and it is considered to be a landmark encyclopaedia for scholarship and literary style.
Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1907 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical Algebra written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2008-05-16 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This insightful book combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject. Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra originally developed from classical algebraic precursors. This book successfully ties together the disconnect between classical and modern algebraand provides readers with answers to many fascinating questions that typically go unexamined, including: What is algebra about? How did it arise? What uses does it have? How did it develop? What problems and issues have occurred in its history? How were these problems and issues resolved? The author answers these questions and more, shedding light on a rich history of the subject—from ancient and medieval times to the present. Structured as eleven "lessons" that are intended to give the reader further insight on classical algebra, each chapter contains thought-provoking problems and stimulating questions, for which complete answers are provided in an appendix. Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, Classical Algebra: Its Nature, Origins, and Uses is an excellent book for mathematics courses at the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics.
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Plato s Ghost written by Jeremy Gray and published by Princeton University Press. This book was released on 2022-12-13 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Download or read book American Journal of Mathematics written by and published by . This book was released on 1919 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Download or read book Algebraic Theories written by Leonard Dickson and published by Courier Corporation. This book was released on 2014-03-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This in-depth introduction to classical topics in higher algebra provides rigorous, detailed proofs for its explorations of some of mathematics' most significant concepts, including matrices, invariants, and groups. Algebraic Theories studies all of the important theories; its extensive offerings range from the foundations of higher algebra and the Galois theory of algebraic equations to finite linear groups (including Klein's "icosahedron" and the theory of equations of the fifth degree) and algebraic invariants. The full treatment includes matrices, linear transformations, elementary divisors and invariant factors, and quadratic, bilinear, and Hermitian forms, both singly and in pairs. The results are classical, with due attention to issues of rationality. Elementary divisors and invariant factors receive simple, natural introductions in connection with the classical form and a rational, canonical form of linear transformations. All topics are developed with a remarkable lucidity and discussed in close connection with their most frequent mathematical applications.
Download or read book The Quarterly Journal of Pure and Applied Mathematics written by and published by . This book was released on 1905 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclopedia Britannica written by and published by . This book was released on 1911 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
