Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.
The square root of 2 is a fascinating number - if a little less famous than such mathematical stars as pi, the number e, the golden ratio, or the square root of -1.
Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied.
He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge- braic geometry as special cases.
This volume contains papers by invited speakers of the symposium "e;Zeta Functions, Topology and Quantum Physics"e; held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003.
Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields.
This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University.
Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing.
Gauss created the theory of binary quadratic forms in "e;Disquisitiones Arithmeticae"e; and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem.
Reveals how the number science found in ancient sacred monuments reflects wisdom transmitted from the angelic orders Explains how the angels transmitted megalithic science to early humans to further our conscious development Decodes the angelic science hidden in a wide range of monuments, including Carnac in Brittany, the Great Pyramid in Egypt, early Christian pavements, the Hagia Sophia in Istanbul, Stonehenge in England, and the Kaaba in Mecca Explores how the number science behind ancient monuments gave rise to religions and spiritual practices The angelic mind is founded on a deep understanding of number and the patterns they produce.
This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integration.
This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integration.
This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications.
A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm.
