Translations. Ser. 1, 2. Number theory and analysis

Translations. Ser. 1, 2. Number theory and analysis
Author :
Publisher : American Mathematical Soc.
Total Pages : 548
Release :
ISBN-10 : 0821816020
ISBN-13 : 9780821816028
Rating : 4/5 (20 Downloads)

Synopsis Translations. Ser. 1, 2. Number theory and analysis by : American Mathematical Society

Translations: Number theory and analysis

Translations: Number theory and analysis
Author :
Publisher :
Total Pages : 552
Release :
ISBN-10 : CORNELL:31924001536386
ISBN-13 :
Rating : 4/5 (86 Downloads)

Synopsis Translations: Number theory and analysis by : American Mathematical Society

Introduction to Analytic Number Theory

Introduction to Analytic Number Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 352
Release :
ISBN-10 : 9781475755794
ISBN-13 : 1475755791
Rating : 4/5 (94 Downloads)

Synopsis Introduction to Analytic Number Theory by : Tom M. Apostol

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS

Number Theory

Number Theory
Author :
Publisher : Birkhäuser
Total Pages : 525
Release :
ISBN-10 : 9783034870238
ISBN-13 : 303487023X
Rating : 4/5 (38 Downloads)

Synopsis Number Theory by : R.P. Bambah

The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. The editorial board of INS A invited us to prepare a special monograph in Number Theory. In reponse to this assignment, we invited several eminent Number Theorists to contribute expository/research articles for this monograph on Number Theory. Al though some ofthose invited, due to other preoccupations-could not respond positively to our invitation, we did receive fairly encouraging response from many eminent and creative number theorists throughout the world. These articles are presented herewith in a logical order. We are grateful to all those mathematicians who have sent us their articles. We hope that this monograph will have a significant impact on further development in this subject. R. P. Bambah v. C. Dumir R. J. Hans-Gill A Centennial History of the Prime Number Theorem Tom M. Apostol The Prime Number Theorem Among the thousands of discoveries made by mathematicians over the centuries, some stand out as significant landmarks. One of these is the prime number theorem, which describes the asymptotic distribution of prime numbers. It can be stated in various equivalent forms, two of which are: x (I) K(X) '" -I - as x --+ 00, ogx and Pn '" n log n as n --+ 00. (2) In (1), K(X) denotes the number of primes P ::s x for any x > O.

Number Theory, Analysis and Geometry

Number Theory, Analysis and Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 715
Release :
ISBN-10 : 9781461412601
ISBN-13 : 1461412609
Rating : 4/5 (01 Downloads)

Synopsis Number Theory, Analysis and Geometry by : Dorian Goldfeld

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Lang’s own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Lang’s life. This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.

Generalized Functions and Fourier Analysis

Generalized Functions and Fourier Analysis
Author :
Publisher : Birkhäuser
Total Pages : 280
Release :
ISBN-10 : 9783319519111
ISBN-13 : 3319519115
Rating : 4/5 (11 Downloads)

Synopsis Generalized Functions and Fourier Analysis by : Michael Oberguggenberger

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.

Ramsey Theory

Ramsey Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 199
Release :
ISBN-10 : 9780817680923
ISBN-13 : 0817680926
Rating : 4/5 (23 Downloads)

Synopsis Ramsey Theory by : Alexander Soifer

This book explores the theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.

Introduction to Radon Transforms

Introduction to Radon Transforms
Author :
Publisher : Cambridge University Press
Total Pages : 595
Release :
ISBN-10 : 9780521854597
ISBN-13 : 0521854598
Rating : 4/5 (97 Downloads)

Synopsis Introduction to Radon Transforms by : Boris Rubin

A comprehensive introduction to basic operators of integral geometry and the relevant harmonic analysis for students and researchers.

Selected Papers of E. B. Dynkin with Commentary

Selected Papers of E. B. Dynkin with Commentary
Author :
Publisher : American Mathematical Soc.
Total Pages : 834
Release :
ISBN-10 : 0821810650
ISBN-13 : 9780821810651
Rating : 4/5 (50 Downloads)

Synopsis Selected Papers of E. B. Dynkin with Commentary by : Evgeniĭ Borisovich Dynkin

Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured.This book is jointly published by the AMS and the International Press.