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Symbolic and Algebraic Computation

Overview of attention for book
Cover of 'Symbolic and Algebraic Computation'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Dynamic maintenance of paths and path expressions on graphs
  3. Altmetric Badge
    Chapter 2 Generic programming
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    Chapter 3 From a noncomputability result to new interesting definitions and computability results
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    Chapter 4 Symbolic derivation and automatic generation of parallel routines for finite element analysis
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    Chapter 5 Liouvillian first integrals of differential equations
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    Chapter 6 Fast reduction of the Risch differential equation
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    Chapter 7 An application of reduce to the approximation of F(X,Y)
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    Chapter 8 The use of symbolic computation in solving some non-relativistic quantum mechanical problems
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    Chapter 9 Experiments with quadtree representation of matrices
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    Chapter 10 Discovering inequality conditions in the analytical solution of optimization problems
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    Chapter 11 Can EXCALC be used to investigate high-dimensional cosmological models with non-linear Lagrangians?
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    Chapter 12 Gröbner trace algorithms
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    Chapter 13 Solving systems of algebraic equations
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    Chapter 14 Groebner bases in non-commutative algebras
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    Chapter 15 Greater easy common divisor and standard basis completion algorithms
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    Chapter 16 Experiments with a projection operator for algebraic decomposition
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    Chapter 17 Rational Newton algorithm for computing formal solutions of linear differential equations
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    Chapter 18 An ordinary differential equation solver for REDUCE
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    Chapter 19 A fixed point method for power series computation
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    Chapter 20 An algorithm for symbolic computation of center manifolds
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    Chapter 21 Shortest division chains in imaginary quadratic number fields
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    Chapter 22 Effective tests for cyclotomic polynomials
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    Chapter 23 The probability of relative primality of Gaussian integers
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    Chapter 24 Some computational aspects of root finding in GF(q m )
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    Chapter 25 Symbolic computation for Witt rings
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    Chapter 26 Computations with algebraic curves
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    Chapter 27 On the computational complexity of the resolution of plane curve singularities
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    Chapter 28 Generalized characteristic polynomials
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    Chapter 29 Decomposition of algebras
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    Chapter 30 Algebraic transformations of polynomial equations, symmetric polynomials and elimination
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    Chapter 31 Tetrahedrizing point sets in three dimensions
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    Chapter 32 A generalization of the roider method to solve the robot collision problem in 3D
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    Chapter 33 Symbolic analysis of planar drawings
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    Chapter 34 A geometrical decision algorithm based on the gröbner bases algorithm
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    Chapter 35 Solving permutation problems using rewriting systems
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    Chapter 36 Applying rewriting techniques to groups with power-commutation-presentations
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    Chapter 37 Efficient decision procedures for locally finite theories II
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    Chapter 38 Aformal approach to some usually informal techniques used in mathematical reasoning
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    Chapter 39 Decision procedures for elementary sublanguages of set theory. XIV. Three languages involving rank related constructs
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    Chapter 40 Computer algebra on MIMD machine
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    Chapter 41 Algebraic extensions and algebraic closure in Scratchpad II
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    Chapter 42 Software development for computer algebra or from ALDES/SAC-2 to WEB/Modula-2
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    Chapter 43 Cayley, version 4: The user language
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    Chapter 44 Improved sparse multivariate polynomial interpolation algorithms
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    Chapter 45 Heuristic methods for operations with algebraic numbers
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    Chapter 46 Asymptotic estimation of oscillating functions using an interval calculus
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    Chapter 47 A new algorithm for computing symbolic limits using hierarchical series
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    Chapter 48 Verification of non-identities in algebras
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    Chapter 49 Equations in words
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    Chapter 50 Cayley factorization
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    Chapter 51 Complexity of computing the characters and the genre of a system of exterior differential equations
Attention for Chapter 2: Generic programming
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Mentioned by

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6 Wikipedia pages

Citations

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Readers on

mendeley
86 Mendeley
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1 CiteULike
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Chapter title
Generic programming
Chapter number 2
Book title
Symbolic and Algebraic Computation
Published in
Lecture notes in computer science, July 1988
DOI 10.1007/3-540-51084-2_2
Book ISBNs
978-3-54-051084-0, 978-3-54-046153-1
Authors

David R. Musser, Alexander A. Stepanov

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 86 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 4 5%
Turkey 1 1%
Australia 1 1%
South Africa 1 1%
India 1 1%
Netherlands 1 1%
Spain 1 1%
United Kingdom 1 1%
Japan 1 1%
Other 1 1%
Unknown 73 85%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 22 26%
Researcher 15 17%
Student > Master 12 14%
Student > Bachelor 10 12%
Other 8 9%
Other 10 12%
Unknown 9 10%
Readers by discipline Count As %
Computer Science 54 63%
Engineering 6 7%
Physics and Astronomy 6 7%
Mathematics 5 6%
Agricultural and Biological Sciences 3 3%
Other 3 3%
Unknown 9 10%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 09 January 2024.
All research outputs
#7,451,584
of 22,780,967 outputs
Outputs from Lecture notes in computer science
#2,485
of 8,124 outputs
Outputs of similar age
#3,775
of 13,179 outputs
Outputs of similar age from Lecture notes in computer science
#1
of 3 outputs
Altmetric has tracked 22,780,967 research outputs across all sources so far. This one is in the 44th percentile – i.e., 44% of other outputs scored the same or lower than it.
So far Altmetric has tracked 8,124 research outputs from this source. They receive a mean Attention Score of 5.0. This one has gotten more attention than average, scoring higher than 55% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 13,179 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 8th percentile – i.e., 8% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 3 others from the same source and published within six weeks on either side of this one. This one has scored higher than all of them