Author: Mark Kac
Publisher: Courier Dover Publications
ISBN: 0486833402
Category : Mathematics
Languages : en
Pages : 115
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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.
Author: Paul Turan
Publisher: Springer Science & Business Media
ISBN: 1461548195
Category : Mathematics
Languages : en
Pages : 320
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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.
Author: Mark Kao
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 93
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Book Description
Author: F. Schweiger
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112314239
Category : Mathematics
Languages : en
Pages : 400
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Book Description
No detailed description available for "Analytic and Probabilistic Methods in Number Theory".
Author: Andrew Granville
Publisher: Springer Science & Business Media
ISBN: 1402054041
Category : Mathematics
Languages : en
Pages : 356
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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.
Author: Jonas Kubilius
Publisher: American Mathematical Soc.
ISBN: 082181561X
Category : Mathematics
Languages : en
Pages : 206
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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.
Author: W.A. Coppel
Publisher: Springer Science & Business Media
ISBN: 0387298533
Category : Mathematics
Languages : en
Pages : 367
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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.
Author: Krishnaswami Alladi
Publisher: Springer
ISBN: 3540466819
Category : Mathematics
Languages : en
Pages : 240
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Book Description
Author: Walter Philipp
Publisher: American Mathematical Soc.
ISBN: 0821818147
Category : Additive functions
Languages : en
Pages : 108
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Book Description
The author gives a solution to the central limit problem and proves several forms of the iterated logarithm theorem and the results are then applied to the following branches of number theory: limit theorems for continued fractions and related algorithms; limit theorems in Diophantine approximations; discrepancies of sequences uniformly distributed mod one and the distribution of additive functions. In addition to new results, the major contribution of the work is the unification of the listed branches of probabilistic number theory. In particular, this is the first time that the distribution theory of additive functions has been related to metric number theory.
Author: Krishnaswami Alladi
Publisher: Springer
ISBN: 1475745079
Category : Mathematics
Languages : en
Pages : 289
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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.
