Subject
Mathematical constants Books
Best books
Unknown
Miscellaneous Mathematical Constants
"Miscellaneous Mathematical Constants" by Simon Plouffe is a collection and reference work focusing on various mathematical constants, likely compiled in the late 20th century. The book serves as an extensive catalog of these constants, providing them in high precision formats suitable for mathematicians and enthusiasts interested in numerical constants and their properties. The opening of the book lists a multitude of mathematical constants, ranging from fundamental numbers like pi and e to lesser-known ones such as the Artin's Constant and the Backhouse Constant. Each entry includes the constant's value to numerous decimal places, with specific calculations or references noted for those interested in their derivations. This initial portion sets a precise and technical tone, indicating that the book is aimed at readers with a strong mathematical background or a deep curiosity about the world of mathematical constants.
Greg Fee
Catalan's Constant [Ramanujan's Formula]
"Catalan's Constant [Ramanujan's Formula]" by Greg Fee is a scientific publication likely written in the late 20th century. The book extensively discusses the calculation and significance of Catalan's constant, employing Ramanujan's formula along with computational techniques to derive the constant to an impressive precision of 300,000 digits. The opening of the work outlines the computational process used to calculate Catalan's constant, detailing the algorithm executed on a Sun Ultra-Sparc. It offers insights on the mathematical foundations of the calculation, including the Euler transform and references to established mathematical literature. The section also reveals the ambitious nature of the project, highlighting prior records in the computation of mathematical constants and setting the stage for an in-depth exploration of Catalan's constant throughout the publication.
Unknown
The Number "e"
"The Number 'e'" by Unknown is a mathematical publication likely written in the late 20th century. The book appears to delve into the mathematical constant 'e' and provides an extensive computation of its value to a hundred thousand decimal places, showcasing both the calculation methodology and the significance of this number in mathematics. The opening section primarily presents the calculated value of 'e', systematically displayed to an astonishing degree of precision. It notes the computational technique used to derive this expansive sequence, involving an alternating series to determine the value of 1/e, which is subsequently inverted to arrive at 'e'. The text illustrates the technical process and the time it took to execute the calculations, providing insight into the computational advancements in mathematics. Overall, this beginning sets the stage for a detailed exploration of the mathematical constant 'e', highlighting its importance and the complexity inherent in its calculation.
Unknown
The Golden Mean or Ratio[(1+sqrt(5))/2] To 20,000 places
"The Golden Mean or Ratio[(1+sqrt(5))/2]" by Greg Fee is a scientific publication likely written in the late 20th century. The work primarily focuses on the golden ratio and various mathematical constants, delving into their numerical representations and theoretical backgrounds, as displayed in the extensive digital text supplied in the beginning. The opening of the text provides an impressive calculation of the golden ratio, detailing its decimal representation to an astounding 20,000 places. It also lists other mathematical constants alongside their representations and the methods used to calculate them. The text references significant mathematical frameworks, including Catalan's constant and Ramanujan's formulas, and gives a brief note on the computational resources required to achieve these calculations. The initial section serves as a testament to the detailed and technical nature of this study, inviting mathematicians and enthusiasts to explore the intricacies of these fundamental mathematical concepts.
Unknown
Catalan's Constant to 1,500,000 Places
"Catalan's Constant to 1,500,000 Places" by Thomas Papanikolaou is a scientific publication likely written in the late 20th century. This work focuses on the computation of the Catalan constant, a significant number in mathematics, calculated to an impressive 1.5 million decimal places using advanced numerical techniques. The opening of the publication primarily discusses the algorithm utilized for calculating the Catalan constant, including acknowledgments to contributions from other mathematicians and conferences. Papanikolaou details his computational method that relies on integer arithmetic and offers specific technical information about the software and libraries used for this extensive calculation. The output demonstrates the achieved precision and the amount of time taken to compute this value, underscoring the significance and complexity of the task.
Recently surfaced classics