Bibliography of Semiotics, 1975–1985

Bibliography of Semiotics, 1975–1985

Author:

Publisher: John Benjamins Publishing

Published: 1986-01-01

Total Pages: 950

ISBN-13: 9027279381

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This bibliography of semiotic studies covering the years 1975-1985 impressively reveals the world-wide intensification in the field. During this decade, national semiotic societies have been founded allover the world; a great number of international, national, and local semiotic conferences have taken place; the number of periodicals and book series devoted to semiotics has increased as has the number of books and dissertations in the field. This bibliography is the result of a dedicated effort to approach complete coverage.


Elements of Mathematics

Elements of Mathematics

Author: John Stillwell

Publisher: Princeton University Press

Published: 2017-11-07

Total Pages: 440

ISBN-13: 0691178542

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An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.