The First 498 Bernoulli Numbers

This volume gathers the first 498 Bernoulli numbers, presenting each value in exact fractional form alongside the defining series (t,e^{xt}/(e^{t}-1)=\sum_{n=0}^{\infty}B_{n}(x),t^{n}/n!). The layout is straightforward, letting readers locate any term quickly, while brief notes explain the role these constants play in calculus, number theory, and the evaluation of special functions. Whether you’re checking a formula, exploring patterns, or need a reliable reference for research, the book serves as a handy numerical companion.

Beyond the tables, the author offers a concise introduction to the origin of Bernoulli numbers and their appearance in the Euler‑Maclaurin summation formula, the Riemann zeta function, and various combinatorial identities. The clear, unadorned presentation makes the material accessible to advanced undergraduates, graduate students, and seasoned mathematicians alike, turning a dense topic into an approachable resource for study and problem‑solving.