This compilation presents over seventy mathematical constants as extended decimal expansions, each prefaced by a concise definition or formula. The entries range from familiar numbers like π and e to specialized constants such as the Artin, Backhouse, and Feigenbaum constants. The collection is drawn from Simon Plouffe's Inverse Symbolic Calculator project, emphasizing high-precision values rather than derivations or applications.

The structure is straightforward: a table of contents lists each constant with its precision (e.g., “to 5000 digits”), followed by the raw digits. No commentary or context accompanies the numbers, making the work a reference tool for those who need exact decimal sequences for computation or verification.

A Catalog of Decimal Expansions

The work is organized as a simple list: each constant is introduced by a formula or name, then a block of digits. For instance, “1-6/(Pi^2) to 5000 digits” is followed by thousands of digits. The precision varies widely: some constants have 256 digits, others 20,000. The golden ratio receives the longest expansion (20,000 digits), while Euler's constant appears in multiple forms (gamma, gamma squared, gamma cubed). This variation suggests the editor prioritized constants with known high-precision values or those commonly needed in numerical work.

Recurring Patterns in the Digits

Scanning the digit blocks reveals no obvious patterns—the numbers appear random, as expected for most constants. However, the inclusion of multiple forms of the same constant (e.g., log(2), log(2) squared, log(2*Pi)) allows comparison. For example, the digits of π² (10,000 digits) and π (not included here) would differ entirely. The work does not analyze these patterns; it merely presents them. The reader is left to observe that constants like “exp(Pi)-Pi” yield a sequence that, despite its simple definition, shows no simple structure.

Movement Between Constants: No Narrative Arc

Unlike a textbook, this collection offers no transitions or explanations. The table of contents jumps from “cos(1) to 15000 digits” to “The cube root of 3 to 2000 places” without comment. The only structure is alphabetical or thematic grouping: constants named after mathematicians (Artin, Backhouse, Berstein) appear together, as do those involving Euler's number. The lack of narrative means the reader must supply their own context—perhaps using external references to understand why a constant matters.

Precision as a Defining Feature

Each entry explicitly states its digit count, emphasizing the work's role as a precision reference. The numbers are sourced from online databases (URLs provided in the front matter), and the editor notes they were “downloaded from” specific sites. This transparency about provenance is rare in print references. The inclusion of both common constants (log(2)) and obscure ones (Gompertz constant) suggests the collection aims for breadth rather than depth, serving as a digital snapshot of available high-precision data in the mid-1990s.

Readers should approach this work as a raw data dump rather than an explanatory text. It is best used alongside a mathematical handbook or online resource that provides context for each constant. The high precision makes it valuable for numerical verification or for those who need many digits for computational purposes. The absence of any analysis or derivation means the work stands purely as a reference—a list of numbers waiting to be used.