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The Resource Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource)
Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource)
Resource Information
The item Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the EulerMaclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet userfriendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 400 examples and about 300 problems, and the reader will be able to find the proof of every result. To further assist students and teachers, important matters and comments are highlighted, and parts that can be omitted, at least during a first and perhaps second reading, are identified
 Language
 eng
 Extent
 XXI, 659 p. 66 illus.
 Contents

 1 Let’s Learn to Count
 2 Counting Sequences and Collections
 3 Occupancy Constraints
 4 Inclusion/Exclusion
 5 Stirling Numbers and Eulerian Numbers
 6 Manipulation of Sums
 7 Formal Power Series
 8 Generating Formal Series and Applications
 9 Recurrence Relations
 10 Linear Recurrence Relations
 11 Symbolic Calculus
 12 The EulerMaclaurin Formulas of Order 1 and 2
 13 The EulerMaclaurin Formula of Arbitrary Order
 14 Cauchy and Riemann Sums, Factorials, Ramanujan Numbers and their Approximations
 15 Tables and Formulas
 16 Appendix A
 Isbn
 9783319030388
 Label
 Discrete Calculus : Methods for Counting
 Title
 Discrete Calculus
 Title remainder
 Methods for Counting
 Statement of responsibility
 by Carlo Mariconda, Alberto Tonolo
 Language
 eng
 Summary
 This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the EulerMaclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet userfriendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 400 examples and about 300 problems, and the reader will be able to find the proof of every result. To further assist students and teachers, important matters and comments are highlighted, and parts that can be omitted, at least during a first and perhaps second reading, are identified
 http://library.link/vocab/creatorName
 Mariconda, Carlo
 Image bit depth
 0
 LC call number
 QA164167.2
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Tonolo, Alberto.
 SpringerLink
 Series statement
 UNITEXT,
 Series volume
 103
 http://library.link/vocab/subjectName

 Mathematics
 Approximation theory
 Combinatorics
 Mathematics
 Combinatorics
 Approximations and Expansions
 Label
 Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 Let’s Learn to Count  2 Counting Sequences and Collections  3 Occupancy Constraints  4 Inclusion/Exclusion  5 Stirling Numbers and Eulerian Numbers  6 Manipulation of Sums  7 Formal Power Series  8 Generating Formal Series and Applications  9 Recurrence Relations  10 Linear Recurrence Relations  11 Symbolic Calculus  12 The EulerMaclaurin Formulas of Order 1 and 2  13 The EulerMaclaurin Formula of Arbitrary Order  14 Cauchy and Riemann Sums, Factorials, Ramanujan Numbers and their Approximations  15 Tables and Formulas  16 Appendix A
 Dimensions
 unknown
 Extent
 XXI, 659 p. 66 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319030388
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319030388
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319030388
 Label
 Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 Let’s Learn to Count  2 Counting Sequences and Collections  3 Occupancy Constraints  4 Inclusion/Exclusion  5 Stirling Numbers and Eulerian Numbers  6 Manipulation of Sums  7 Formal Power Series  8 Generating Formal Series and Applications  9 Recurrence Relations  10 Linear Recurrence Relations  11 Symbolic Calculus  12 The EulerMaclaurin Formulas of Order 1 and 2  13 The EulerMaclaurin Formula of Arbitrary Order  14 Cauchy and Riemann Sums, Factorials, Ramanujan Numbers and their Approximations  15 Tables and Formulas  16 Appendix A
 Dimensions
 unknown
 Extent
 XXI, 659 p. 66 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319030388
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319030388
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319030388
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