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)

Label
Discrete Calculus : Methods for Counting
Title
Discrete Calculus
Title remainder
Methods for Counting
Statement of responsibility
by Carlo Mariconda, Alberto Tonolo
Creator
Contributor
Author
Provider
Subject
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 Euler-Maclaurin 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 user-friendly 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
Member of
http://library.link/vocab/creatorName
Mariconda, Carlo
Image bit depth
0
LC call number
QA164-167.2
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)
Instantiates
Publication
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 Euler-Maclaurin Formulas of Order 1 and 2 -- 13 The Euler-Maclaurin 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
10.1007/978-3-319-03038-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-03038-8
Label
Discrete Calculus : Methods for Counting, by Carlo Mariconda, Alberto Tonolo, (electronic resource)
Publication
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 Euler-Maclaurin Formulas of Order 1 and 2 -- 13 The Euler-Maclaurin 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
10.1007/978-3-319-03038-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-03038-8

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