**Author**: Glyn Harman,School of Mathematics Glyn Harman

**Publisher:**Courier Corporation

**ISBN:**9780198500834

**Category:**Mathematics

**Page:**297

**View:**2902

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# Search Results for: metric-number-theory-london-mathematical-society-monographs

**Author**: Glyn Harman,School of Mathematics Glyn Harman

**Publisher:** Courier Corporation

**ISBN:** 9780198500834

**Category:** Mathematics

**Page:** 297

**View:** 2902

This book deals with the number-theoretic properties of almost all real numbers. It brings together many different types of result never covered within the same volume before, thus showing interactions and common ideas between different branches of the subject. It provides an indispensablecompendium of basic results, important theorems and open problems. Starting from the classical results of Borel, Khintchine and Weyl, normal numbers, Diophantine approximation and uniform distribution are all discussed. Questions are generalized to higher dimensions and various non-periodic problemsare also considered (for example restricting approximation to fractions with prime numerator and denominator). Finally, the dimensions of some of the exceptional sets of measure zero are considered.

**Author**: Giancarlo Travaglini

**Publisher:** Cambridge University Press

**ISBN:** 1139992821

**Category:** Mathematics

**Page:** N.A

**View:** 9520

The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.
*In Memory of Serge Lang*

**Author**: Dorian Goldfeld,Jay Jorgenson,Peter Jones,Dinakar Ramakrishnan,Kenneth Ribet,John Tate

**Publisher:** Springer Science & Business Media

**ISBN:** 1461412595

**Category:** Mathematics

**Page:** 704

**View:** 425

In honor of Serge Lang’s vast contribution to mathematics, this memorial volume presents articles by prominent mathematicians. Reflecting the breadth of Lang's own interests and accomplishments, these essays span the field of Number Theory, Analysis and Geometry.

**Author**: Siddhartha Bhattacharya,Tarun Das,Anish Ghosh,Riddhi Shah

**Publisher:** American Mathematical Soc.

**ISBN:** 1470409313

**Category:** Mathematics

**Page:** 258

**View:** 4837

This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.
*Discrepancy, Integration and Applications*

**Author**: Peter Kritzer,Harald Niederreiter,Friedrich Pillichshammer,Arne Winterhof

**Publisher:** Walter de Gruyter GmbH & Co KG

**ISBN:** 3110375036

**Category:** Mathematics

**Page:** 269

**View:** 9309

The survey articles in this book focus on number theoretic point constructions, uniform distribution theory, and quasi-Monte Carlo methods. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules enjoy increasing popularity, with many fruitful applications in mathematical practice, as for example in finance, computer graphics, and biology.
*With Selected Reviews of Classic Books and Papers from 1940-1969*

**Author**: Donald G. Babbitt,Jane E. Kister

**Publisher:** American Mathematical Soc.

**ISBN:** 9780821896709

**Category:** Mathematics

**Page:** 541

**View:** 7536

This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
*The Official Journal of the Mathematical Association of America*

**Author**: N.A

**Publisher:** N.A

**ISBN:** N.A

**Category:** Mathematicians

**Page:** N.A

**View:** 2626

**Author**: Donald G. Babbitt,Jane E. Kister

**Publisher:** American Mathematical Soc.

**ISBN:** N.A

**Category:** Mathematics

**Page:** N.A

**View:** 8144

*An Index to the Publishers' Trade List Annual*

**Author**: N.A

**Publisher:** N.A

**ISBN:** N.A

**Category:** American literature

**Page:** N.A

**View:** 7321

**Author**: Glyn Harman

**Publisher:** Princeton University Press

**ISBN:** 1400845939

**Category:** Mathematics

**Page:** 384

**View:** 9325

This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers.

**Author**: Vladimir I. Arnold

**Publisher:** Springer-Verlag

**ISBN:** 3642564801

**Category:** Mathematics

**Page:** 344

**View:** 1414

nen (die fast unverändert in moderne Lehrbücher der Analysis übernommen wurde) ermöglichten ihm nach seinen eigenen Worten, "in einer halben Vier telstunde" die Flächen beliebiger Figuren zu vergleichen. Newton zeigte, daß die Koeffizienten seiner Reihen proportional zu den sukzessiven Ableitungen der Funktion sind, doch ging er darauf nicht weiter ein, da er zu Recht meinte, daß die Rechnungen in der Analysis bequemer auszuführen sind, wenn man nicht mit höheren Ableitungen arbeitet, sondern die ersten Glieder der Reihenentwicklung ausrechnet. Für Newton diente der Zusammenhang zwischen den Koeffizienten der Reihe und den Ableitungen eher dazu, die Ableitungen zu berechnen als die Reihe aufzustellen. Eine von Newtons wichtigsten Leistungen war seine Theorie des Sonnensy stems, die in den "Mathematischen Prinzipien der Naturlehre" ("Principia") ohne Verwendung der mathematischen Analysis dargestellt ist. Allgemein wird angenommen, daß Newton das allgemeine Gravitationsgesetz mit Hilfe seiner Analysis entdeckt habe. Tatsächlich hat Newton (1680) lediglich be wiesen, daß die Bahnkurven in einem Anziehungsfeld Ellipsen sind, wenn die Anziehungskraft invers proportional zum Abstandsquadrat ist: Auf das Ge setz selbst wurde Newton von Hooke (1635-1703) hingewiesen (vgl. § 8) und es scheint, daß es noch von weiteren Forschern vermutet wurde.

**Author**: Michael W. Davis

**Publisher:** Princeton University Press

**ISBN:** 1400845947

**Category:** Mathematics

**Page:** 600

**View:** 4641

The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.

**Author**: N.A

**Publisher:** N.A

**ISBN:** N.A

**Category:** Logic, Symbolic and mathematical

**Page:** N.A

**View:** 2389

*As Printed in Mathematical Reviews*

**Author**: N.A

**Publisher:** Amer Mathematical Society

**ISBN:** 9780821809372

**Category:** Mathematics

**Page:** 1012

**View:** 5222

These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.
*Band 1: Ableitungen und Geometrie in IR3*

**Author**: Kenneth Eriksson,Donald Estep,Claes Johnson

**Publisher:** Springer-Verlag

**ISBN:** 3540350063

**Category:** Mathematics

**Page:** 452

**View:** 6176

Der 3-bändige Grundkurs für Studienanfänger verbindet die mathematische Analysis (Soul) mit numerischer Berechnung (Body) und einer Fülle von Anwendungen. Die Autoren haben die Inhalte im Unterricht erprobt. Band 1 behandelt die Grundlagen der Analysis.

**Author**: N.A

**Publisher:** N.A

**ISBN:** N.A

**Category:** Bibliography, National

**Page:** N.A

**View:** 1393

**Author**: Edmund Hlawka

**Publisher:** N.A

**ISBN:** N.A

**Category:** Distribution, Uniform (Probability theory)

**Page:** 142

**View:** 7716

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