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The Probability Integral - Its Origin, Its Importance, and Its Calculation (1st ed. 2023)
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The Probability Integral - Its Origin, Its Importance, and Its Calculation (1st ed. 2023)
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This book tells the story of the probability integral, the
approaches to analyzing it throughout history, and the many areas
of science where it arises. The so-called probability integral, the
integral over the real line of a Gaussian function, occurs
ubiquitously in mathematics, physics, engineering and probability
theory. Stubbornly resistant to the undergraduate toolkit for
handling integrals, calculating its value and investigating its
properties occupied such mathematical luminaries as De Moivre,
Laplace, Poisson, and Liouville. This book introduces the
probability integral, puts it into a historical context, and
describes the different approaches throughout history to evaluate
and analyze it. The author also takes entertaining diversions into
areas of math, science, and engineering where the probability
integral arises: as well as being indispensable to probability
theory and statistics, it also shows up naturally in thermodynamics
and signal processing. Designed to be accessible to anyone at the
undergraduate level and above, this book will appeal to anyone
interested in integration techniques, as well as historians of
math, science, and statistics.
General
Imprint: |
Springer International Publishing AG
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Country of origin: |
Switzerland |
Release date: |
October 2023 |
Authors: |
Paul J. Nahin
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Dimensions: |
235 x 155mm (L x W) |
Pages: |
162 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-138415-8 |
Categories: |
Books
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LSN: |
3-03-138415-6 |
Barcode: |
9783031384158 |
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