Modern Mathematics Through Discovery
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Modern Mathematics Through Discovery
Author | : Robert Lee Morton |
Publisher | : |
Total Pages | : 318 |
Release | : 1966 |
Genre | : Mathematics |
ISBN | : |
Modern Mathematics Through Discovery
Author | : Myron Frederick Rosskopf |
Publisher | : |
Total Pages | : 472 |
Release | : 1963 |
Genre | : Arithmetic |
ISBN | : |
Experimentation in Mathematics
Author | : Jonathan M. Borwein |
Publisher | : CRC Press |
Total Pages | : 372 |
Release | : 2004-04-12 |
Genre | : Mathematics |
ISBN | : 1439864195 |
New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of
An Introduction to Modern Mathematical Computing
Author | : Jonathan M. Borwein |
Publisher | : Springer Science & Business Media |
Total Pages | : 237 |
Release | : 2012-08-07 |
Genre | : Mathematics |
ISBN | : 1461442532 |
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.
Labyrinth of Thought
Author | : Jose Ferreiros |
Publisher | : Springer Science & Business Media |
Total Pages | : 472 |
Release | : 2001-11-01 |
Genre | : Mathematics |
ISBN | : 9783764357498 |
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Modern Classical Homotopy Theory
Author | : Jeffrey Strom |
Publisher | : American Mathematical Soc. |
Total Pages | : 862 |
Release | : 2011-10-19 |
Genre | : Mathematics |
ISBN | : 0821852868 |
The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.
Books and Pamphlets, Including Serials and Contributions to Periodicals
Author | : Library of Congress. Copyright Office |
Publisher | : |
Total Pages | : 568 |
Release | : 1968 |
Genre | : American literature |
ISBN | : |
Catalog of Copyright Entries. Third Series
Author | : Library of Congress. Copyright Office |
Publisher | : Copyright Office, Library of Congress |
Total Pages | : 1140 |
Release | : 1969 |
Genre | : Copyright |
ISBN | : |
Suggested Books for Indian Schools; an Annotated List Which Includes Library Books, Recommended Textbooks, Reference Material, and Maps, Selected with Special Reference to the Interests and Activities of Rural Communities
Author | : United States. Bureau of Indian Affairs |
Publisher | : |
Total Pages | : 160 |
Release | : 1965 |
Genre | : |
ISBN | : |