Hypernatural
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Author | : Robert Goldblatt |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461206154 |
An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions. It is a source of new ideas, objects and proofs, and a wealth of powerful new principles of reasoning. The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective. It then sets out the theory of enlargements of fragments of the mathematical universe, providing a foundation for the full-scale development of the nonstandard methodology. The final chapters apply this to a number of topics, including Loeb measure theory and its relation to Lebesgue measure on the real line. Highlights include an early introduction of the ideas of internal, external and hyperfinite sets, and a more axiomatic set-theoretic approach to enlargements than is usual.
Author | : Kenneth D. Keathley |
Publisher | : B&H Publishing Group |
Total Pages | : 131 |
Release | : 2024-09-15 |
Genre | : Religion |
ISBN | : 1087771447 |
In Faith and Science: A Primer for a Hypernatural World, Kenneth Keathley argues that, rather than acting as opposing forces, scientific inquiry and the Christian faith go hand-in-hand. In his mission to offer a fully integrated theology of science, Keathley begins with the Lordship of Christ and the sufficiency of Scripture. He characterizes the study of science as a providential gift and a worthy vocation with Christian origins. Keathley then examines the twin challenges of scientism and fideism, observing their deficiencies as comprehensive worldviews. After defending Galileo as a scientist-theologian, Keathley offers readers a model for how to integrate their Christian faith with their scientific pursuits. Faith and Science provides a ready primer for students and everyday Christians to challenge their preconceptions about faith and science and to develop a more robust worldview to guide their examinations of our hypernatural world. The Christ in Everything series exists to demonstrate how Christ is connected to all of life. The primers in this series serve as introductions to important cultural topics, including science, freedom, politics, beauty, and the nature of truth. Each book offers a biblical and theological framework from which to view and approach the topic at hand, followed by examples for how to walk in the way of Jesus in that cultural domain.
Author | : Dan Abnett |
Publisher | : Boom! Studios |
Total Pages | : 131 |
Release | : 2013-11-20 |
Genre | : Comics & Graphic Novels |
ISBN | : 1613981600 |
It is the far future; the human race has finally colonized the galaxy, preserving an era of prosperity that's only possible because of The Hypernaturals. They're a celebrated, galaxy-wide superhero task force that keeps the peace. That is, until they all mysteriously vanish. Now, as the galaxy teeters on the brink of chaos, it's up to a group of retired and long forgotten Hypernaturals -- and their novice recruits -- to save the galaxy from complete destruction. Dan Abnett and Andy Lanning, the superstar writing duo behind ANNIHILATION and THE LEGION, launch an all-new original graphic novel series that takes cosmic super-heroes to a new frontier.
Author | : Armen H. Zemanian |
Publisher | : Springer Science & Business Media |
Total Pages | : 207 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681787 |
This self-contained book examines results on transfinite graphs and networks achieved through continued research effort over the past several years. These new results, covering the mathematical theory of electrical circuits, are different from those presented in two previously published books by the author, Transfiniteness for Graphs, Electrical Networks, and Random Walks and Pristine Transfinite Graphs and Permissive Electrical Networks. Specific topics covered include connectedness ideas, distance ideas, and nontransitivity of connectedness. The book will appeal to a diverse readership, including graduate students, electrical engineers, mathematicians, and physicists working on infinite electrical networks. Moreover, the growing and presently substantial number of mathematicians working in nonstandard analysis may well be attracted by the novel application of the analysis employed in the work.
Author | : Imme van den Berg |
Publisher | : Springer Science & Business Media |
Total Pages | : 415 |
Release | : 2007-12-03 |
Genre | : Mathematics |
ISBN | : 3211499059 |
This book reflects the progress made in the forty years since the appearance of Abraham Robinson’s revolutionary book Nonstandard Analysis in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.
Author | : Alex Heller |
Publisher | : American Mathematical Soc. |
Total Pages | : 89 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0821824465 |
This memoir deals with much of the familiar structure of homotopy theory, including standard theorems on homotopy limits and localization, and gives a description of algebras-up-to-homotopy designed to illuminate the theory of loop-spaces.
Author | : Nihon Sūgakkai |
Publisher | : MIT Press |
Total Pages | : 1180 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 9780262590204 |
V.1. A.N. v.2. O.Z. Apendices and indexes.
Author | : Terence E. Fretheim |
Publisher | : Westminster John Knox Press |
Total Pages | : 336 |
Release | : 2010-07-15 |
Genre | : Religion |
ISBN | : 1611641454 |
One of the best commentaries on Exodus ever to appear in English, now in paperback!
Author | : Kelly S. Hale |
Publisher | : CRC Press |
Total Pages | : 1371 |
Release | : 2014-09-10 |
Genre | : Computers |
ISBN | : 1466511850 |
A Complete Toolbox of Theories and TechniquesThe second edition of a bestseller, Handbook of Virtual Environments: Design, Implementation, and Applications presents systematic and extensive coverage of the primary areas of research and development within VE technology. It brings together a comprehensive set of contributed articles that address the
Author | : Dan Abnett |
Publisher | : Boom! Studios |
Total Pages | : 131 |
Release | : 2014-01-08 |
Genre | : Comics & Graphic Novels |
ISBN | : 1613982038 |
It is the far future; the human race has finally colonized the galaxy, preserving an era of prosperity that's only possible because of The Hypernaturals. Until the celebrated, galaxy-wide superhero task force mysteriously vanishes. Now, with the teams’ greatest enemy on the loose again; it's up to a group of retired and long forgotten Hypernaturals -- and their novice recruits -- to save the galaxy from complete destruction. The highly anticipated conclusion of the cosmic superhero epic from Dan Abnett and Andy Lanning, the superstar writing duo behind Guardians of the Galaxy and The Legion!