Hypernumbers and Extrafunctions by Mark Burgin
First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This book introduces a new theory that includes the theory of distributions as a subtheory, providing more powerful tools for mathematics and its applications.
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Structural Reality
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TRILOGY OF NUMBERS AND ARITHMETIC - BOOK 1: HISTORY OF NUMBERS AND ARITHMETIC: AN INFORMATION PERSPECTIVE
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PHILOSOPHY AND METHODOLOGY OF INFORMATION: THE STUDY OF INFORMATION IN THE TRANSDISCIPLINARY PERSPECTIVE
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THEORETICAL INFORMATION STUDIES: INFORMATION IN THE WORLD
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INFORMATION AND COMPLEXITY
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Super-Recursive Algorithms
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INFORMATION STUDIES AND THE QUEST FOR TRANSDISCIPLINARITY: UNITY THROUGH DIVERSITY
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Semitopological Vector Spaces
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Your PGCME
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THEORY OF KNOWLEDGE: STRUCTURES AND PROCESSES
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NON-DIOPHANTINE ARITHMETICS IN MATHEMATICS, PHYSICS AND PSYCHOLOGY
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THEORY OF INFORMATION: FUNDAMENTALITY, DIVERSITY AND UNIFICATION
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INFORMATION AND COMPUTATION: ESSAYS ON SCIENTIFIC AND PHILOSOPHICAL UNDERSTANDING OF FOUNDATIONS OF INFORMATION AND COMPUTATION
From the reviews:
“Burgin (UCLA) provides an introduction to the theory of hypernumbers in this short book, part of the ‘SpringerBriefs in Mathematics’ seriesThe (real) hypernumbers are an extension of the real numbers that permits operations with infinite quantities; a real general extrafunction is a partial map from the set of real hypernumbers to itself. … Summing Up: Recommended. Advanced upper-division undergraduates, graduate students, and researchers/faculty.” (D. Robbins, Choice, Vol. 50 (3), November, 2012)Burgin published extensively on this new theoretical topic. Based on UCLA lectures, articles, invited ACM Communications Survey article (11/01), and invited High Performance Computing Symposium presentation.
| SKU | Unavailable |
| ISBN 13 | 9781441998743 |
| ISBN 10 | 1441998748 |
| Title | Hypernumbers and Extrafunctions |
| Author | Mark Burgin |
| Series | Springerbriefs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2012-05-17 |
| Number of pages | 160 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |