Dr Riemann S Zeros

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Dr. Riemann's Zeros

Karl Sabbagh
Dr Riemann s Zeros Book PDF

Author : Karl Sabbagh
Publisher : Atlantic Books (UK)
Page : 306 pages
File Size : 44,8 Mb
Release : 2003
Category : Biography & Autobiography
ISBN : CHI:76308988

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Dr. Riemann's Zeros by Karl Sabbagh Pdf

In 1859 Bernhard Riemann, a shy German mathematician, gave an answer to a problem that had long puzzled mathematicians. Although he couldn't provide a proof, Riemann declared that his solution was 'very probably' true. For the next one hundred and fifty years, the world's mathematicians have longed to confirm the Riemann hypothesis. So great is the interest in its solution that in 2001, an American foundation offered a million-dollar prize to the first person to demonstrate that the hypothesis is correct. In this book, Karl Sabbagh makes accessible even the airiest peaks of maths and paints vivid portraits of the people racing to solve the problem. Dr. Riemann's Zeros is a gripping exploration of the mystery at the heart of our counting system.

The Riemann Hypothesis

Karl Sabbagh
The Riemann Hypothesis Book PDF

Author : Karl Sabbagh
Publisher : Farrar, Straus and Giroux
Page : 352 pages
File Size : 46,9 Mb
Release : 2004-05-26
Category : Mathematics
ISBN : 0374529353

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The Riemann Hypothesis by Karl Sabbagh Pdf

Since 1859, when the shy German mathematician Bernhard Riemann wrote an eight-page article giving a possible answer to a problem that had tormented mathematical minds for centuries, the world's greatest mathematicians have been fascinated, infuriated, and obsessed with proving the Riemann hypothesis. They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995. In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities. Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.

The Riemann Hypothesis

Peter B. Borwein
The Riemann Hypothesis Book PDF

Author : Peter B. Borwein
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 48,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9780387721255

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The Riemann Hypothesis by Peter B. Borwein Pdf

The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.

In Search of the Riemann Zeros

Michel Laurent Lapidus
In Search of the Riemann Zeros Book PDF

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
Page : 594 pages
File Size : 53,7 Mb
Release : 2008
Category : Mathematics
ISBN : 0821842226

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In Search of the Riemann Zeros by Michel Laurent Lapidus Pdf

Formulated in 1859, the Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. In essence, it states that the primes are distributed as harmoniously as possible--or, equivalently, that the Riemann zeros are located on a single vertical line, called the critical line.

The Riemann Zeta-Function

Aleksandar Ivic
The Riemann Zeta Function Book PDF

Author : Aleksandar Ivic
Publisher : Courier Corporation
Page : 548 pages
File Size : 51,7 Mb
Release : 2012-07-12
Category : Mathematics
ISBN : 9780486140049

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The Riemann Zeta-Function by Aleksandar Ivic Pdf

This text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, and more. 1985 edition.

The Riemann Zeta-Function

Anatoly A. Karatsuba,S. M. Voronin
The Riemann Zeta Function Book PDF

Author : Anatoly A. Karatsuba,S. M. Voronin
Publisher : Walter de Gruyter
Page : 409 pages
File Size : 47,5 Mb
Release : 2011-05-03
Category : Mathematics
ISBN : 9783110886146

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The Riemann Zeta-Function by Anatoly A. Karatsuba,S. M. Voronin Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

The Theory of the Riemann Zeta-function

Late Savilian Professor of Geometry E C Titchmarsh,Edward Charles Titchmarsh,Titchmarsh,D. R. Heath-Brown,Titchmarsh, Edward Charles Titchmarsh
The Theory of the Riemann Zeta function Book PDF

Author : Late Savilian Professor of Geometry E C Titchmarsh,Edward Charles Titchmarsh,Titchmarsh,D. R. Heath-Brown,Titchmarsh, Edward Charles Titchmarsh
Publisher : Oxford University Press
Page : 428 pages
File Size : 40,6 Mb
Release : 1986
Category : Mathematics
ISBN : 0198533691

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The Theory of the Riemann Zeta-function by Late Savilian Professor of Geometry E C Titchmarsh,Edward Charles Titchmarsh,Titchmarsh,D. R. Heath-Brown,Titchmarsh, Edward Charles Titchmarsh Pdf

The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis" at its heart. The second edition has been revised to include descriptions of work done in the last forty years and is updated with many additional references; it will provide stimulating reading for postgraduates and workers in analytic number theory and classical analysis.

An Introduction to Riemann-Finsler Geometry

D. Bao,S.-S. Chern,Z. Shen
An Introduction to Riemann Finsler Geometry Book PDF

Author : D. Bao,S.-S. Chern,Z. Shen
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461212683

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An Introduction to Riemann-Finsler Geometry by D. Bao,S.-S. Chern,Z. Shen Pdf

This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.

Stalking the Riemann Hypothesis

Dan Rockmore
Stalking the Riemann Hypothesis Book PDF

Author : Dan Rockmore
Publisher : Vintage
Page : 306 pages
File Size : 44,9 Mb
Release : 2006-05-09
Category : Mathematics
ISBN : 9780375727726

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Stalking the Riemann Hypothesis by Dan Rockmore Pdf

For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

The Concept of a Riemann Surface

Hermann Weyl
The Concept of a Riemann Surface Book PDF

Author : Hermann Weyl
Publisher : Courier Corporation
Page : 210 pages
File Size : 55,6 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9780486131672

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The Concept of a Riemann Surface by Hermann Weyl Pdf

This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

Base Reality

Dr. Thomas Stark
Base Reality Book PDF

Author : Dr. Thomas Stark
Publisher : Magus Books
Page : 356 pages
File Size : 49,5 Mb
Release : 2024-07-02
Category : Philosophy
ISBN : 8210379456XXX

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Base Reality by Dr. Thomas Stark Pdf

Step inside and explore the true nature of base reality, of ultimate existence. It will blow your mind ... because it is your mind!

Probability Theory and Stochastic Processes

Pierre Brémaud
Probability Theory and Stochastic Processes Book PDF

Author : Pierre Brémaud
Publisher : Springer Nature
Page : 713 pages
File Size : 44,6 Mb
Release : 2020-04-07
Category : Mathematics
ISBN : 9783030401832

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Probability Theory and Stochastic Processes by Pierre Brémaud Pdf

The ultimate objective of this book is to present a panoramic view of the main stochastic processes which have an impact on applications, with complete proofs and exercises. Random processes play a central role in the applied sciences, including operations research, insurance, finance, biology, physics, computer and communications networks, and signal processing. In order to help the reader to reach a level of technical autonomy sufficient to understand the presented models, this book includes a reasonable dose of probability theory. On the other hand, the study of stochastic processes gives an opportunity to apply the main theoretical results of probability theory beyond classroom examples and in a non-trivial manner that makes this discipline look more attractive to the applications-oriented student. One can distinguish three parts of this book. The first four chapters are about probability theory, Chapters 5 to 8 concern random sequences, or discrete-time stochastic processes, and the rest of the book focuses on stochastic processes and point processes. There is sufficient modularity for the instructor or the self-teaching reader to design a course or a study program adapted to her/his specific needs. This book is in a large measure self-contained.

Prime Numbers and the Riemann Hypothesis

Barry Mazur,William Stein
Prime Numbers and the Riemann Hypothesis Book PDF

Author : Barry Mazur,William Stein
Publisher : Cambridge University Press
Page : 155 pages
File Size : 50,6 Mb
Release : 2016-04-11
Category : Mathematics
ISBN : 9781107101920

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Prime Numbers and the Riemann Hypothesis by Barry Mazur,William Stein Pdf

This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.

Semigroups in Geometrical Function Theory

D. Shoikhet
Semigroups in Geometrical Function Theory Book PDF

Author : D. Shoikhet
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401596329

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Semigroups in Geometrical Function Theory by D. Shoikhet Pdf

Historically, complex analysis and geometrical function theory have been inten sively developed from the beginning of the twentieth century. They provide the foundations for broad areas of mathematics. In the last fifty years the theory of holomorphic mappings on complex spaces has been studied by many mathemati cians with many applications to nonlinear analysis, functional analysis, differential equations, classical and quantum mechanics. The laws of dynamics are usually presented as equations of motion which are written in the abstract form of a dy namical system: dx / dt + f ( x) = 0, where x is a variable describing the state of the system under study, and f is a vector function of x. The study of such systems when f is a monotone or an accretive (generally nonlinear) operator on the under lying space has been recently the subject of much research by analysts working on quite a variety of interesting topics, including boundary value problems, integral equations and evolution problems (see, for example, [19, 13] and [29]). In a parallel development (and even earlier) the generation theory of one parameter semigroups of holomorphic mappings in en has been the topic of interest in the theory of Markov stochastic processes and, in particular, in the theory of branching processes (see, for example, [63, 127, 48] and [69]).

A Course in Number Theory

H. E. Rose
A Course in Number Theory Book PDF

Author : H. E. Rose
Publisher : Oxford University Press
Page : 420 pages
File Size : 54,6 Mb
Release : 1995
Category : Mathematics
ISBN : 0198523769

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A Course in Number Theory by H. E. Rose Pdf

This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.