Paul J. Nahin
The Probability Integral: Its Origin, Its Importance, and Its Calculation
The Probability Integral: Its Origin, Its Importance, and Its Calculation
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- More about The Probability Integral: Its Origin, Its Importance, and Its Calculation
The probability integral,the integral over the real line of a Gaussian function,is discussed in this book,along with its historical approaches and applications in math,physics,engineering,probability theory,thermodynamics,and signal processing. It is intended for undergraduates and above and will interest anyone interested in integration techniques and the history of math,science,and statistics.
Format: Hardback
Length: 189 pages
Publication date: 09 September 2023
Publisher: Springer International Publishing AG
The probability integral, a fundamental concept in mathematics, physics, engineering, and probability theory, has captivated the minds of mathematical luminaries throughout history. This integral, which represents the integral over the real line of a Gaussian function, is ubiquitous in these fields. Despite its resistance to undergraduate tools for handling integrals, calculating its value, and investigating its properties, it has remained a challenge for mathematicians.
In this comprehensive book, the probability integral is introduced, placing it within a historical context. The author explores various approaches to evaluating and analyzing this integral, highlighting the contributions of mathematical giants such as De Moivre, Laplace, Poisson, and Liouville. The book also takes delightful detours into areas of math, science, and engineering where the probability integral arises. It is not only essential to probability theory and statistics but also finds natural applications in thermodynamics and signal processing.
Designed to be accessible to anyone at the undergraduate level and above, this book appeals to a wide range of readers interested in integration techniques, as well as historians of math, science, and statistics. The author's clear and concise writing style makes the subject matter accessible to a broad audience, while the extensive examples and exercises help solidify the understanding of the probability integral and its applications.
Whether you are a student, researcher, or simply someone passionate about mathematics and its interdisciplinary connections, this book is a valuable resource for exploring the fascinating world of the probability integral.
Weight: 486g
Dimension: 241 x 164 x 23 (mm)
ISBN-13: 9783031384158
Edition number: 1st ed. 2023
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