Simon Plouffe

Explore the fascinating world of number theory with "The first 1000 Euler Numbers," a meticulously prepared print edition of a classic mathematical resource. This book delves into the sequence of Euler numbers, fundamental mathematical constants with applications across various scientific fields. A cornerstone of mathematical analysis, this text offers a detailed exploration of these numbers, crucial for anyone studying advanced mathematics. Whether you're a seasoned mathematician or a curious student, this book provides a valuable reference for understanding the properties and significance of Euler numbers. Dive into this essential work and expand your knowledge of mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Explore the foundational constants of mathematics with "The First 498 Bernoulli Numbers." This meticulously prepared print edition presents a comprehensive compilation of these essential numbers, pivotal in number theory and various mathematical applications. Serving as a valuable resource for mathematicians, researchers, and anyone fascinated by the intricacies of numerical patterns, this volume offers a detailed examination of Bernoulli numbers. Delve into the heart of mathematical history and discover the enduring significance of these fundamental values. This book falls under the categories of Mathematics, Number Theory, and the History & Philosophy of Mathematics, making it a timeless addition to any mathematical library.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This encyclopedia contains more than 5000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented in the most natural form, and arranged for easy reference, this book is easier to use than the authors earlier classic A Handbook of Integer Sequences. The Encyclopedia gives the name, mathematical description, and citations to literature for each sequence. Following sequences of particular interest, thereare essays on their origins, uses, and connections to related sequences (all cross-referenced). A valuable new feature to this text is the inclusion of a number of interesting diagrams and illustrations related to selected sequences. The initial chapters are both amusing and enlightening. They serve as a delightful introduction to the subject and a short course on how to identify and work with integer sequences. This encyclopedia brings Sloanes ground-breaking Handbook up to date, more than doubling its size, and linking both the old and the new material to an extensive bibliography (over 25 pages long), of current and classic references. An index to all the sequences in the book is also available separately on disk in Macintosh and IBM formats.