Nahin, Paul J.
The Probability Integral: Its Origin, Its Importance, and Its Calculation
- ISBN 13:
- 9783031384158
- author:
- Nahin, Paul J.
- format:
- Hardback
- publisher:
- Springer
- language:
- English
- Publication Year:
- 2023
- Pages:
- 189
- Dimensions:
- 23.4 x 15.6 x 1.4 centimetres (0
- Genre:
- Science, Mathematics, Mathematical Analysis,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
The Probability Integral: Its Origin, Its Importance, and Its Calculation by Paul J. Nahin is a comprehensive exploration of this fundamental concept in mathematics, physics, engineering, and probability theory. The probability integral, the integral over the real line of a Gaussian function, plays a crucial role in many areas of science, yet its calculation has long resisted straightforward solutions. Throughout history, mathematicians such as De Moivre, Laplace, Poisson, and Liouville have struggled to evaluate and analyze this integral. This book provides an accessible introduction to the probability integral, placing it within a historical context and describing various approaches to calculating its value and investigating its properties. The author also delves into the integral's applications in thermodynamics and signal processing, highlighting its importance in probability theory and statistics. Suitable for readers at the undergraduate level and above, this book offers a unique blend of mathematical insight and historical perspective, making it an attractive choice for anyone interested in integration techniques or the history of mathematics, science, and statistics.