The Resource Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès
Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès
Resource Information
The item Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language

 eng
 fre
 eng
 Extent
 1 online resource (xxi, 556 pages).
 Contents

 Basic Tools
 Bézout and Gauss
 Prime Numbers
 Arithmetic Functions
 Integer Points Close to Smooth Curves
 Exponential Sums
 Algebraic Number Fields
 Isbn
 9781447140962
 Label
 Arithmetic tales
 Title
 Arithmetic tales
 Statement of responsibility
 Olivier Bordellès ; translated by Véronique Bordellès
 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
 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
 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
 10.1007/9781447140962
 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
 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
 10.1007/9781447140962
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)795707062
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ArithmetictalesOlivierBordell%C3%A8stranslated/whJ8VfGZo2o/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ArithmetictalesOlivierBordell%C3%A8stranslated/whJ8VfGZo2o/">Arithmetic tales, Olivier Bordellès ; translated by Véronique Bordellès</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>