Coverart for item
The Resource Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès

Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès

Label
Arithmetic tales
Title
Arithmetic tales
Statement of responsibility
Olivier Bordellès ; translated by Véronique Bordellès
Creator
Subject
Language
  • eng
  • fre
  • eng
Summary
Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding. Classical methods in analytic theory such as Mertens' theorem and Chebyshev's inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involves the Dirichlet convolution product which arises with the inclusion of several summation techniques and a survey of classical results such as Hall and Tenenbaum's theorem and the Möbius Inversion Formula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also included. Topics in Multiplicative Number Theory introduces offers a comprehensive introduction into these topics with an emphasis on analytic number theory. Since it requires very little technical expertise it will appeal to a wide target group including upper level undergraduates, doctoral and masters level students
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Bordellès, Olivier
Dewey number
513
Index
index present
Language note
English
LC call number
QA107.2
LC item number
.B6713 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Arithmetic
  • Mathematics
  • Arithmetic
Label
Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Basic Tools
  • Bézout and Gauss
  • Prime Numbers
  • Arithmetic Functions
  • Integer Points Close to Smooth Curves
  • Exponential Sums
  • Algebraic Number Fields
Control code
795707062
Dimensions
unknown
Extent
1 online resource (xxi, 556 pages).
File format
unknown
Form of item
online
Isbn
9781447140962
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-4096-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)795707062
Label
Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Basic Tools
  • Bézout and Gauss
  • Prime Numbers
  • Arithmetic Functions
  • Integer Points Close to Smooth Curves
  • Exponential Sums
  • Algebraic Number Fields
Control code
795707062
Dimensions
unknown
Extent
1 online resource (xxi, 556 pages).
File format
unknown
Form of item
online
Isbn
9781447140962
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-4096-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)795707062

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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