ISBN: 9780883857779 - Which Numbers are Real? (classroom Resource Materials) (15 results)

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Hardcover. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Condition: New. An exploration of number systems that extend and generalise the real numbers, of interest to students, mathematics teachers and enthusiasts. Series: Classroom Resource Materials. Num Pages: 229 pages, Illustrations. BIC Classification: PBCN. Category: (U) Tertiary Education (US: College). Dimension: 236 x 155 x 17. Weight in Grams: 430. . 2012. hardcover. . . . . …

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Condition: New. An exploration of number systems that extend and generalise the real numbers, of interest to students, mathematics teachers and enthusiasts. Series: Classroom Resource Materials. Num Pages: 229 pages, Illustrations. BIC Classification: PBCN. Category: (U) Tertiary Education (US: College). Dimension: 236 x 155 x 17. Weight in Grams: 430. . 2012. hardcover. . . . . Books ship from the US and Ireland. …

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Condition: New. InhaltsverzeichnisIntroduction Part I. The Reals: 1. Axioms for the reals 2. Construction of the reals Part II. Multidimensional Numbers: 3. The complex numbers 4. The quaternions Part III. Alternative Lines: 5. The constructive rea.

Buch. Condition: Neu. Neuware - Everyone knows the real numbers, those fundamental quantities that make possible all of mathematics from high school algebra and Euclidean geometry through the Calculus and beyond; and also serve as the basis for measurement in science, industry, and ordinary life. This book surveys alternative real number systems: systems that generalize and extend the real numbers yet stay close to these properties that make the reals central to mathematics. Alternative real numbers include many different kinds of numbers, for example multidimensional numbers (the complex numbers, the quaternions and others), infinitely small and infinitely large numbers (the hyperreal numbers and the surreal numbers), and numbers that represent positions in games (the surreal numbers). Each system has a well-developed theory, including applications to other areas of mathematics and science, such as physics, the theory of games, multi-dimensional geometry, and formal logic. They are all active areas of current mathematical research and each has unique features, in particular, characteristic methods of proof and implications for the philosophy of mathematics, both highlighted in this book. Alternative real number systems illuminate the central, unifying role of the real numbers and include some exciting and eccentric parts of mathematics.Which Numbers Are Real Will be of interest to anyone with an interest in numbers, but specifically to upper-level undergraduates, graduate students, and professional mathematicians, particularly college mathematics teachers. …