It is not for everyone-nothing is universal

It is not for everyone-nothing is universal. But if you are interested in classical analysis, special functions, integration, number theory, symbolic computing, and some other deep topics like the AGM, this will grab you by the collar and put you to work.

New mathematics often comes about by probing what is already known

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 functions, 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.

New mathematics often comes about by probing what is already known.

The book covers an extensive swath of college mathematics: number systems and number theory . Now I wish to address the second part of the book’s title, From a al mathematician’s point of view.

The book covers an extensive swath of college mathematics: number systems and number theory, special families of numbers (Fibonacci, Catalan, Stirling, Bernoulli), combinatorics, calculus and analysis, polynomials and special families of polynomials (Bernoulli, Chebyshev, Legendre, Hermite), Landen transformations, and special functions ((Gamma), (psi), (zeta)). The book is by no means linear, with many references to later chapters which, I must say, does not at all hinder the reading but rather binds the material into coherent whole.

Электронная книга "Numbers and Functions: From a al Mathematician's . New mathematics often comes about by probing what is already known.

Электронная книга "Numbers and Functions: From a al Mathematician's Point of View", Victor H. Moll.

The focus is on exploring the connections between these functions and topics in number theory and combinatorics.

Download Numbers and Functions: From a al Mathematicians Point of View or any other file from Books category. Numbers and Functions: From a al Mathematician's Point of View By Victor H. Moll 2012 504 Pages ISBN: 0821887955 PDF 11 MB.

Numbers and Functions book. Published November 1st 2012 by American Mathematical Society (first published September 1st 2012).

Experimental and computational mathematics: Selected writings. The Computer as Crucible: An Introduction to Experimental Mathematics

Experimental and computational mathematics: Selected writings. A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. The Computer as Crucible: An Introduction to Experimental Mathematics. Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics.

It contains very elementary but also some more sophisticated themes. I once also wrote an elementary book "Grundideen der Mathematik", . Wissenschaftsverlag 1992. But it is out of print and in German, thus probably does not count. answered Apr 25 '17 at 14:55.

Numbers and Functions From a al Mathematician's Point of View. Student mathematical library.