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The Resource Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource)
Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource)
Resource Information
The item Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a mélange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures
 Language

 eng
 eng
 Edition
 1st ed. 2014.
 Extent
 1 online resource (XIII, 154 p. 8 illus. in color.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Partitions With Restricted Summands or "The Money Changing Problem"
 The Asymptotic Density of Relatively Prime Pairs and of SquareFree Numbers
 A OneDimensional Probabilistic Packing Problem
 The Arcsine Laws for the OneDimensional Simple Symmetric Random Walk
 The Distribution of Cycles in Random Permutations
 Chebyshev's Theorem on the Asymptotic Density of the Primes
 Mertens' Theorems on the Asymptotic Behavior of the Primes
 The HardyRamanujan Theorem on the Number of Distinct Prime Divisors
 The Largest Clique in a Random Graph and Applications to Tampering Detection and Ramsey Theory
 The Phase Transition Concerning the Giant Component in a Sparse Random Graph–a Theorem of Erdős and Rényi
 Isbn
 9783319079653
 Label
 Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics
 Title
 Problems from the Discrete to the Continuous
 Title remainder
 Probability, Number Theory, Graph Theory, and Combinatorics
 Statement of responsibility
 by Ross G. Pinsky
 Language

 eng
 eng
 Summary
 The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a mélange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures
 http://library.link/vocab/creatorName
 Pinsky, Ross G
 Dewey number
 519.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 aRoLkZHXOSk
 Image bit depth
 0
 Language note
 English
 LC call number

 QA273.A1274.9
 QA274274.9
 Literary form
 non fiction
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Distribution (Probability theory
 Number theory
 Combinatorics
 Probability Theory and Stochastic Processes
 Graph Theory
 Number Theory
 Combinatorics
 Label
 Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Partitions With Restricted Summands or "The Money Changing Problem"  The Asymptotic Density of Relatively Prime Pairs and of SquareFree Numbers  A OneDimensional Probabilistic Packing Problem  The Arcsine Laws for the OneDimensional Simple Symmetric Random Walk  The Distribution of Cycles in Random Permutations  Chebyshev's Theorem on the Asymptotic Density of the Primes  Mertens' Theorems on the Asymptotic Behavior of the Primes  The HardyRamanujan Theorem on the Number of Distinct Prime Divisors  The Largest Clique in a Random Graph and Applications to Tampering Detection and Ramsey Theory  The Phase Transition Concerning the Giant Component in a Sparse Random Graph–a Theorem of Erdős and Rényi
 Dimensions
 unknown
 Edition
 1st ed. 2014.
 Extent
 1 online resource (XIII, 154 p. 8 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319079653
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319079653
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000219376
 (SSID)ssj0001338825
 (PQKBManifestationID)11776640
 (PQKBTitleCode)TC0001338825
 (PQKBWorkID)11344853
 (PQKB)10971741
 (DEHe213)9783319079653
 (EXLCZ)993710000000219376
 Label
 Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Partitions With Restricted Summands or "The Money Changing Problem"  The Asymptotic Density of Relatively Prime Pairs and of SquareFree Numbers  A OneDimensional Probabilistic Packing Problem  The Arcsine Laws for the OneDimensional Simple Symmetric Random Walk  The Distribution of Cycles in Random Permutations  Chebyshev's Theorem on the Asymptotic Density of the Primes  Mertens' Theorems on the Asymptotic Behavior of the Primes  The HardyRamanujan Theorem on the Number of Distinct Prime Divisors  The Largest Clique in a Random Graph and Applications to Tampering Detection and Ramsey Theory  The Phase Transition Concerning the Giant Component in a Sparse Random Graph–a Theorem of Erdős and Rényi
 Dimensions
 unknown
 Edition
 1st ed. 2014.
 Extent
 1 online resource (XIII, 154 p. 8 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319079653
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319079653
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000219376
 (SSID)ssj0001338825
 (PQKBManifestationID)11776640
 (PQKBTitleCode)TC0001338825
 (PQKBWorkID)11344853
 (PQKB)10971741
 (DEHe213)9783319079653
 (EXLCZ)993710000000219376
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/ProblemsfromtheDiscretetotheContinuous/5biyg9mxcXA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/ProblemsfromtheDiscretetotheContinuous/5biyg9mxcXA/">Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics, by Ross G. Pinsky, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>