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Taniyama first suggested in the 1950's that a statement along these lines might be true, and
a precise conjecture was formulated by Shimura. A paper of Weil [Wei67] provided strong …

Two subjects are treated in this book. The main subject is the theory of Bernoulli numbers,
which are a series of rational numbers that appear in various contexts of mathematics, and …

[I] ntuition comes to us much earlier and with much less outside influence than formal
arguments which we cannot really understand unless we have reached a relatively high …

The concrete tetrahedron Page 1 The Concrete Tetrahedron Manuel Kauers ∗ RISC Johannes
Kepler University 4040 Linz (Austria) mkauers@risc.jku.at ABSTRACT We give an overview …

1 X nD 1 qn2 xn; where jqj< 1 and 0< jxj< 1; or a generalization or specialization of such a
series. Theta functions were studied extensively by Ramanujan and form the central theme …

This book is for all lovers ofmathematics. It is an attempt to under stand the nature of
mathematics from the point of view of its most important early source. Even if the material …

Amid the unrest, dislocation, and uncertainty of seventeenth-century Europe, readers
seeking consolation and assurance turned to philosophical and scientific books that offered …

This book provides algorithms and ideas for computationalists. Subjects treated include low-
level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier …

This book offers fascinating and modern perspectives into the theory and practice of the
historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a …