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 European University Institute.This item is available to borrow from 1 library branch.
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 European University Institute.
This item is available to borrow from 1 library branch.
 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
 1 online resource (XXI, 659 pages)
 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Mariconda, Carlo
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Tonolo, Alberto.
 Series statement

 Springer eBooks
 UNITEXT,
 Series volume
 103
 http://library.link/vocab/subjectName

 Mathematics
 Approximation theory
 Combinatorics
 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
 Control code
 9783319030388
 Dimensions
 unknown
 Extent
 1 online resource (XXI, 659 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 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
 66 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)967704161
 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
 Control code
 9783319030388
 Dimensions
 unknown
 Extent
 1 online resource (XXI, 659 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 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
 66 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)967704161
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/DiscreteCalculusMethodsforCountingby/CT0eEQ_yiE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/DiscreteCalculusMethodsforCountingby/CT0eEQ_yiE/">Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>