Books » Author » Victor H. Moll
By Moll, Victor H.
A Guide to the Evaluation of Integrals Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible... and uses Mathematica (R) to verify the formulas. You will discover the beauty, patterns, and unexpected connections behind the formulas. Volume II collects 14 papers from Revista Scientia covering elliptic integrals, the Riemann zeta function, the error function, hypergeometric and hyperbolic functions, Bessel-K functions, logarithms and rational functions, polylogarithm functions, the exponential integral, and Whittaker functions. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.Read more
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New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary fun...ctions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and prove interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions.Read more
Edited by Grunbaum, F. Alberto; van Moerbeke, Pierre; Moll, Victor H.
This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathematics.
This provides a compilation of papers published in the Journal Revista Scientia, a journal published by the department of mathematics from the University of Tecnica Frederico Santa Maria in Chilie. It details interesting approaches or techniques that help readers study other area...s or fields in mathematics. In addition to the original papers by the author, commentary will be included to further clarify and provide instruction on the proofs provided.Read more
Edited by Grunbaum, F. Alberto; Moerbeke, Pierre van; Moll, Victor H.
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