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Bernoulli Numbers and Zeta Functions
Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advanced topics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the sum of powers of consecutive integers; a formula for Bernoulli numbers by Stirling numbers; the Clausen–von Staudt theor...
The Foundations of Statistics
Classic analysis of the subject and the development of personal probability; one of the greatest controversies in modern statistcal thought. New preface and new footnotes to 1954 edition, with a supplementary 180-item annotated bibliography by author. Calculus, probability, statistics, and Boolean algebra are recommended.
A History of Aerodynamics
From the Foreword: 'John Anderson's book represents a milestone in aviation literature. For the first time aviation enthusiasts - both specialists and popular readers alike - possess an authoritative history of aerodynamic theory. Not only is this study authoritative, it is also highly readable and linked to the actual (and more familiar) story of how the airplane evolved. The book touches on all the major theorists and their contributions and, most important, the historical context in which they worked to move the science of aerodynamics forward.' Von Hardesty, Smithsonian Institution From the reviews: 'Something of the unexpected quality of this book can be inferred from its full title A H...
Daniel Bernoulli
Daniel Bernoulli by Rajesh Thakur: Explore the life and achievements of Daniel Bernoulli, the Swiss mathematician and physicist who made significant contributions to the fields of fluid dynamics and probability theory. Rajesh Thakur sheds light on Bernoulli's groundbreaking work on the principle of fluid dynamics that bears his name and his pioneering exploration of probability and statistics. This book is a comprehensive tribute to one of the most influential mathematicians and scientists of the 18th century, whose discoveries continue to shape the understanding of various scientific disciplines. Key Aspects of the Book "Daniel Bernoulli": Fluid Dynamics Pioneer: Thakur explores Bernoulli's...
Leonhard Euler and the Bernoullis
"Leonhard Euler and the Bernoullis is a fascinating tale of the Bernoulli family and Euler's association with them. Successful merchants in the 16th and 17th centuries, the Bernoullis were driven out of Antwerp during the persecution of the Huguenots and settled first in Frankfurt, and then in Basel, where one of the most remarkable mathematical dy
Hydrodynamics and Hydraulics
Daniel Bernoulli's Hydrodynamica, published in 1738, marks the first appearance of many topics central to modern science, from the kinetic theory of gases to the principles of jet propulsion. John Bernoulli's Hydraulica, published in 1743, supplements his son's book and deals primary with hydraulics. 104 illustrations.
Bernoulli's Fallacy
There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Cla...
