E-raamat: First 498 Bernoulli Numbers

The First 498 Bernoulli Numbers is a comprehensive mathematical reference work that presents the values of the Bernoulli numbers from B0 through B497. Compiled by mathematician David P. Robbins and first published in 1962, this book serves as an essential resource for researchers, students, and enthusiasts in number theory, analysis, and related fields. Bernoulli numbers are a sequence of rational numbers deeply connected to the study of series expansions, the Riemann zeta function, and the calculation of sums of powers of consecutive integers. They play a crucial role in the development of mathematical formulas such as the Euler-Maclaurin formula and appear in the study of special functions and numerical analysis. This volume meticulously lists each Bernoulli number, providing both the numerator and denominator in their reduced forms, allowing for precise reference and computation. The book is organized for ease of use, with clear formatting and systematic presentation, making it a valuable tool for those engaged in advanced mathematical work. In addition to the tables, the book includes a brief introduction explaining the significance and applications of Bernoulli numbers, as well as references to their historical development and mathematical properties. The First 498 Bernoulli Numbers stands as a testament to the enduring importance of mathematical tables in the pre-digital era, offering a snapshot of mathematical computation before the widespread use of computers. It remains a useful and reliable reference for anyone needing accurate values of Bernoulli numbers for theoretical or practical purposes.