|
Showing 1 - 7 of
7 matches in All Departments
The Riemann hypothesis (RH) may be the most important outstanding
problem in mathematics. This third volume on equivalents to RH
offers a full presentation of recent results of Nicolas,
Rogers–Tao–Dobner, Bagchi, and Matiyasevich. Of particular
interest here are derivations showing that RH is decidable. Also
included is the classical Pólya–Jensen equivalence and related
developments of Ono et al. An extensive set of appendices
highlights key results, most of which are proved. The book is
highly accessible, with definitions repeated, proofs split
logically, and graphical visuals. Ideal for mathematicians wishing
to update their knowledge, logicians, and graduate students seeking
accessible research problems in number theory. Each of the three
volumes can be read mostly independently. Volume 1 presents
classical and modern arithmetic equivalents to RH. Volume 2 covers
equivalences with a strong analytic orientation. Volume 3 includes
further arithmetic and analytic equivalents plus new material on
the decidability of RH.
The Riemann hypothesis (RH) is perhaps the most important
outstanding problem in mathematics. This two-volume text presents
the main known equivalents to RH using analytic and computational
methods. The book is gentle on the reader with definitions
repeated, proofs split into logical sections, and graphical
descriptions of the relations between different results. It also
includes extensive tables, supplementary computational tools, and
open problems suitable for research. Accompanying software is free
to download. These books will interest mathematicians who wish to
update their knowledge, graduate and senior undergraduate students
seeking accessible research problems in number theory, and others
who want to explore and extend results computationally. Each volume
can be read independently. Volume 1 presents classical and modern
arithmetic equivalents to RH, with some analytic methods. Volume 2
covers equivalences with a strong analytic orientation, supported
by an extensive set of appendices containing fully developed
proofs.
Searching for small gaps between consecutive primes is one way to
approach the twin primes conjecture, one of the most celebrated
unsolved problems in number theory. This book documents the
remarkable developments of recent decades, whereby an upper bound
on the known gap length between infinite numbers of consecutive
primes has been reduced to a tractable finite size. The text is
both introductory and complete: the detailed way in which results
are proved is fully set out and plenty of background material is
included. The reader journeys from selected historical theorems to
the latest best result, exploring the contributions of a vast array
of mathematicians, including Bombieri, Goldston, Motohashi, Pintz,
Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported
by a linked and freely-available package of computer programs. The
material is suitable for graduate students and of interest to any
mathematician curious about recent breakthroughs in the field.
The Riemann hypothesis (RH) is perhaps the most important
outstanding problem in mathematics. This two-volume text presents
the main known equivalents to RH using analytic and computational
methods. The book is gentle on the reader with definitions
repeated, proofs split into logical sections, and graphical
descriptions of the relations between different results. It also
includes extensive tables, supplementary computational tools, and
open problems suitable for research. Accompanying software is free
to download. These books will interest mathematicians who wish to
update their knowledge, graduate and senior undergraduate students
seeking accessible research problems in number theory, and others
who want to explore and extend results computationally. Each volume
can be read independently. Volume 1 presents classical and modern
arithmetic equivalents to RH, with some analytic methods. Volume 2
covers equivalences with a strong analytic orientation, supported
by an extensive set of appendices containing fully developed
proofs.
The Riemann hypothesis (RH) is perhaps the most important
outstanding problem in mathematics. This two-volume text presents
the main known equivalents to RH using analytic and computational
methods. The book is gentle on the reader with definitions
repeated, proofs split into logical sections, and graphical
descriptions of the relations between different results. It also
includes extensive tables, supplementary computational tools, and
open problems suitable for research. Accompanying software is free
to download. These books will interest mathematicians who wish to
update their knowledge, graduate and senior undergraduate students
seeking accessible research problems in number theory, and others
who want to explore and extend results computationally. Each volume
can be read independently. Volume 1 presents classical and modern
arithmetic equivalents to RH, with some analytic methods. Volume 2
covers equivalences with a strong analytic orientation, supported
by an extensive set of appendices containing fully developed
proofs.
Searching for small gaps between consecutive primes is one way to
approach the twin primes conjecture, one of the most celebrated
unsolved problems in number theory. This book documents the
remarkable developments of recent decades, whereby an upper bound
on the known gap length between infinite numbers of consecutive
primes has been reduced to a tractable finite size. The text is
both introductory and complete: the detailed way in which results
are proved is fully set out and plenty of background material is
included. The reader journeys from selected historical theorems to
the latest best result, exploring the contributions of a vast array
of mathematicians, including Bombieri, Goldston, Motohashi, Pintz,
Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported
by a linked and freely-available package of computer programs. The
material is suitable for graduate students and of interest to any
mathematician curious about recent breakthroughs in the field.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Sound Of Freedom
Jim Caviezel, Mira Sorvino, …
DVD
R325
R218
Discovery Miles 2 180
|