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Experimentation in Mathematics
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Experimentation in Mathematics

Computational Paths to Discovery

Experimentation in Mathematics

Computational Paths to Discovery

ByJonathan M. Borwein, David H. Bailey, Roland Girgensohn, David H. Bailey, Jonathan M. Borwein
Edition 1st Edition
First Published 2004
eBook Published 12 April 2004
Pub. location New York
Imprint A K Peters/CRC Press
DOIhttps://doi.org/10.1201/9781439864197
Pages 368 pages
eBook ISBN 9781439864197
SubjectsComputer Science
Get Citation

Get Citation

Borwein, J., Bailey, D., Girgensohn, R., Bailey, D., Borwein, J. (2004). Experimentation in Mathematics. New York: A K Peters/CRC Press, https://doi.org/10.1201/9781439864197
ABOUT THIS BOOK

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

TABLE OF CONTENTS
chapter 1|68 pages
Sequences, Series, Products and Integrals
View abstract
chapter 2|62 pages
Fourier Series and Integrals
View abstract
chapter 3|56 pages
Zeta Functions and Multizeta Functions
View abstract
chapter 4|42 pages
Partitions and Powers
View abstract
chapter 5|38 pages
Primes and Polynomials
View abstract
chapter 6|36 pages
The Power of Constructive Proofs II
View abstract
chapter 7|36 pages
Numerical Techniques II
View 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

TABLE OF CONTENTS
chapter 1|68 pages
Sequences, Series, Products and Integrals
View abstract
chapter 2|62 pages
Fourier Series and Integrals
View abstract
chapter 3|56 pages
Zeta Functions and Multizeta Functions
View abstract
chapter 4|42 pages
Partitions and Powers
View abstract
chapter 5|38 pages
Primes and Polynomials
View abstract
chapter 6|36 pages
The Power of Constructive Proofs II
View abstract
chapter 7|36 pages
Numerical Techniques II
View abstract
CONTENTS
ABOUT THIS BOOK

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

TABLE OF CONTENTS
chapter 1|68 pages
Sequences, Series, Products and Integrals
View abstract
chapter 2|62 pages
Fourier Series and Integrals
View abstract
chapter 3|56 pages
Zeta Functions and Multizeta Functions
View abstract
chapter 4|42 pages
Partitions and Powers
View abstract
chapter 5|38 pages
Primes and Polynomials
View abstract
chapter 6|36 pages
The Power of Constructive Proofs II
View abstract
chapter 7|36 pages
Numerical Techniques II
View 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

TABLE OF CONTENTS
chapter 1|68 pages
Sequences, Series, Products and Integrals
View abstract
chapter 2|62 pages
Fourier Series and Integrals
View abstract
chapter 3|56 pages
Zeta Functions and Multizeta Functions
View abstract
chapter 4|42 pages
Partitions and Powers
View abstract
chapter 5|38 pages
Primes and Polynomials
View abstract
chapter 6|36 pages
The Power of Constructive Proofs II
View abstract
chapter 7|36 pages
Numerical Techniques II
View abstract
ABOUT THIS BOOK
ABOUT THIS BOOK

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

TABLE OF CONTENTS
chapter 1|68 pages
Sequences, Series, Products and Integrals
View abstract
chapter 2|62 pages
Fourier Series and Integrals
View abstract
chapter 3|56 pages
Zeta Functions and Multizeta Functions
View abstract
chapter 4|42 pages
Partitions and Powers
View abstract
chapter 5|38 pages
Primes and Polynomials
View abstract
chapter 6|36 pages
The Power of Constructive Proofs II
View abstract
chapter 7|36 pages
Numerical Techniques II
View 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

TABLE OF CONTENTS
chapter 1|68 pages
Sequences, Series, Products and Integrals
View abstract
chapter 2|62 pages
Fourier Series and Integrals
View abstract
chapter 3|56 pages
Zeta Functions and Multizeta Functions
View abstract
chapter 4|42 pages
Partitions and Powers
View abstract
chapter 5|38 pages
Primes and Polynomials
View abstract
chapter 6|36 pages
The Power of Constructive Proofs II
View abstract
chapter 7|36 pages
Numerical Techniques II
View abstract
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