Experimentation in Mathematics

Computational Paths to Discovery

Jonathan M. Borwein, David H. Bailey, Roland Girgensohn (Autoren)

Buch | Hardcover

372 Seiten

2004
A K Peters (Verlag)
978-1-56881-136-9 (ISBN)

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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 experimental research in the statement of new hypotheses and the discovery of new results that chart the road to future developments. Following the lead of Mathematics by Experiment: Plausible Reasoning in the 21st Century this book gives numerous additional case studies of experimental mathematics in action, ranging from sequences, series, products, integrals, Fourier series, zeta functions, partitions, primes and polynomials. Some advanced numerical techniques are also presented. To get a taste of the material presented in both books view the condensed version.

Jonathan M. Borwein, David H. Bailey, Roland Girgensohn, David H. Bailey, Jonathan M. Borwein

Preface, 1 Sequences, Series, Products and Integrals, 2 Fourier Series and Integrals, 3 Zeta Functions and Multizeta Functions, 4 Partitions and Powers, 5 Primes and Polynomials, 6 The Power of Constructive Proofs II, 7 Numerical Techniques II, Bibliography, Index

Erscheint lt. Verlag	12.4.2004
Verlagsort	Natick
Sprache	englisch
Maße	152 x 229 mm
Gewicht	850 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	1-56881-136-5 / 1568811365
ISBN-13	978-1-56881-136-9 / 9781568811369
Zustand	Neuware