ABSTRACT

New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of

chapter 1|68 pages

Sequences, Series, Products and Integrals

chapter 2|62 pages

Fourier Series and Integrals

chapter 3|56 pages

Zeta Functions and Multizeta Functions

chapter 4|42 pages

Partitions and Powers

chapter 5|38 pages

Primes and Polynomials

chapter 6|36 pages

The Power of Constructive Proofs II

chapter 7|36 pages

Numerical Techniques II