Author: Mark Kac
Publisher: Courier Dover Publications
ISBN: 0486833402
Category : Mathematics
Languages : en
Pages : 115
Book Description
This concise monograph by a well-known mathematician shows how probability theory, in its simplest form, arises in a variety of contexts and in many different mathematical disciplines. 1959 edition.
Statistical Independence in Probability, Analysis and Number Theory
Number Theory and Analysis
Author: Paul Turan
Publisher: Springer Science & Business Media
ISBN: 1461548195
Category : Mathematics
Languages : en
Pages : 320
Book Description
February 14, 1968 marked the thirtieth year since the death of Edmund Landau. The papers of this volume are dedicated by friends, students, and admirers to the memory of this outstanding scholar and teacher. To mention but one side of his original and varied scientific work, the results and effects of which cannot be dis cussed here, Edmund Landau performed one of his greatest services in developing the analytic theory of prime numbers from a subject accessible only with great difficulty even to the initiated few to the general estate of mathematicians. With the exception of the work of Chebyshev, Riemann, and Mertens, before Landau the problems of this theory were attempted only in a number of papers which were filled with gaps and errors. These problems were such that even Gauss abandoned them after several attempts in his youth, and they were described by N. H. Abel in a letter of 1823 and by O. Toeplitz in a lecture in 1930 as the deepest part of mathe matics. Clarification first began with the papers of Hadamard, de la Vallee Poussin, and von Mangoldt. At the end ofthe foreword to his work" Handbuch der Lehre von der Verteilung der Primzahlen" which appeared in 1909, Landau could thus remark with complete justification: " . . . The difficulty of the previously unsolved problems has frightened nearly everyone away from the theory of prime numbers.
Publisher: Springer Science & Business Media
ISBN: 1461548195
Category : Mathematics
Languages : en
Pages : 320
Book Description
February 14, 1968 marked the thirtieth year since the death of Edmund Landau. The papers of this volume are dedicated by friends, students, and admirers to the memory of this outstanding scholar and teacher. To mention but one side of his original and varied scientific work, the results and effects of which cannot be dis cussed here, Edmund Landau performed one of his greatest services in developing the analytic theory of prime numbers from a subject accessible only with great difficulty even to the initiated few to the general estate of mathematicians. With the exception of the work of Chebyshev, Riemann, and Mertens, before Landau the problems of this theory were attempted only in a number of papers which were filled with gaps and errors. These problems were such that even Gauss abandoned them after several attempts in his youth, and they were described by N. H. Abel in a letter of 1823 and by O. Toeplitz in a lecture in 1930 as the deepest part of mathe matics. Clarification first began with the papers of Hadamard, de la Vallee Poussin, and von Mangoldt. At the end ofthe foreword to his work" Handbuch der Lehre von der Verteilung der Primzahlen" which appeared in 1909, Landau could thus remark with complete justification: " . . . The difficulty of the previously unsolved problems has frightened nearly everyone away from the theory of prime numbers.
Statistical Independence in Probability, Analysis and Number Theory
Author: Mark Kao
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 93
Book Description
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 93
Book Description
Analytic and Probabilistic Methods in Number Theory
Author: F. Schweiger
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112314239
Category : Mathematics
Languages : en
Pages : 400
Book Description
No detailed description available for "Analytic and Probabilistic Methods in Number Theory".
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112314239
Category : Mathematics
Languages : en
Pages : 400
Book Description
No detailed description available for "Analytic and Probabilistic Methods in Number Theory".
Number Theory
Author: W.A. Coppel
Publisher: Springer Science & Business Media
ISBN: 0387298533
Category : Mathematics
Languages : en
Pages : 367
Book Description
This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.
Publisher: Springer Science & Business Media
ISBN: 0387298533
Category : Mathematics
Languages : en
Pages : 367
Book Description
This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.
Equidistribution in Number Theory, An Introduction
Author: Andrew Granville
Publisher: Springer Science & Business Media
ISBN: 1402054041
Category : Mathematics
Languages : en
Pages : 356
Book Description
This set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. The volume brings together leading researchers from a range of fields who reveal fascinating links between seemingly disparate areas.
Publisher: Springer Science & Business Media
ISBN: 1402054041
Category : Mathematics
Languages : en
Pages : 356
Book Description
This set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. The volume brings together leading researchers from a range of fields who reveal fascinating links between seemingly disparate areas.
Analytic and Elementary Number Theory
Author: Krishnaswami Alladi
Publisher: Springer
ISBN: 1475745079
Category : Mathematics
Languages : en
Pages : 289
Book Description
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.
Publisher: Springer
ISBN: 1475745079
Category : Mathematics
Languages : en
Pages : 289
Book Description
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.
Probabilistic Methods in the Theory of Numbers
Author: Jonas Kubilius
Publisher: American Mathematical Soc.
ISBN: 082181561X
Category : Mathematics
Languages : en
Pages : 206
Book Description
Presents twenty-three lessons, including problems and exercises, on the use of BASIC computer language on microcomputers such as Apple, Pet, Atari, and TRS-80.
Publisher: American Mathematical Soc.
ISBN: 082181561X
Category : Mathematics
Languages : en
Pages : 206
Book Description
Presents twenty-three lessons, including problems and exercises, on the use of BASIC computer language on microcomputers such as Apple, Pet, Atari, and TRS-80.
Number Theory, Madras 1987
Author: Krishnaswami Alladi
Publisher: Springer
ISBN: 3540466819
Category : Mathematics
Languages : en
Pages : 240
Book Description
Publisher: Springer
ISBN: 3540466819
Category : Mathematics
Languages : en
Pages : 240
Book Description
Multiplicative Number Theory I
Author: Hugh L. Montgomery
Publisher: Cambridge University Press
ISBN: 9780521849036
Category : Mathematics
Languages : en
Pages : 574
Book Description
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Publisher: Cambridge University Press
ISBN: 9780521849036
Category : Mathematics
Languages : en
Pages : 574
Book Description
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.