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Experimentation in Mathematics
ISBN-13:
9781439864197
Veröffentl:
2004
Seiten:
368
Autor:
Jonathan M. Borwein
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
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
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
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