Algorithmics of Nonuniformity

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A01=Hosam Mahmoud
A01=Micha Hofri
advanced data modeling
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Algorithmic analysis
Author_Hosam Mahmoud
Author_Micha Hofri
automatic-update
Binary Search Trees
Binomial Coefficient
Blue Ball
Category1=Non-Fiction
Category=PBD
Category=PBT
Category=PBV
Category=UMB
Category=UY
Central Limit Theorem
Combinatorics
Computer Algebra System
COP=United States
Data models
Data structures
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discrete mathematics techniques
Distribution Function
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eq_computing
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Exponential Generating Function
Fibonacci Numbers
Language_English
Lindeberg Central Limit Theorem
Martingale Central Limit Theorem
mathematical statistics applications
Mellin Transform
nonuniform algorithm performance analysis
Nonuniformity
OGF
Ordinary Differential Equations
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Price_€100 and above
probabilistic algorithm analysis
Probability
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Quick Sort
Random Permutation
Random Variables
Recursive Tree
Regular Expression
Replacement Matrix
Series Parallel Graphs
Slutsky's Theorem
Slutsky’s Theorem
softlaunch
Stirling Numbers
stochastic processes in computing
symbolic computation methods
Turing Machine
Urn Scheme
White Balls

Product details

  • ISBN 9781498750714
  • Weight: 996g
  • Dimensions: 156 x 234mm
  • Publication Date: 17 Jul 2018
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them.

Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to get the best of both worlds and benefit from the advantage of each approach.

The text examines algorithms that are designed to handle general data—sort any array, find the median of any numerical set, and identify patterns in any setting. At the same time, it evaluates "average" performance, "typical" behavior, or in mathematical terms, the expectations of the random variables that describe their operations.

Many exercises are presented, which are essential since they convey additional

material complementing the content of the chapters. For this reason, the solutions are more than mere answers, but explain and expand upon related concepts, and motivate further work by the reader.

Highlights:

  • A unique book that merges probability with analysis of algorithms
  • Approaches analysis of algorithms from the angle of uniformity
  • Non-uniformity makes more realistic models of real-life scenarios possible
  • Results can be applied to many applications
  • Includes many exercises of various levels of difficulty

About the Authors:

Micha Hofri is a Professor of Computer Science, and former department head at Worcester Polytechnic Institute. He holds a Ph.D. of Industrial Engineering (1972), all from Technion, the Israel Institute of Technology. He has 39 publications in Mathematics.

Hosam Mahmoud is a Professor at, the Department of Statistics at George Washington University in Washington D.C., where he used to be the former chair. He holds an Ph.D. in Computer Science from Ohio State University. He is on the editorial board of five academic journals.

Micha Hofri is a professor of computer science, and former department head at Worcester Polytechnic Institute. He holds a Ph.D. of industrial engineering (1972), all from the Technion-Israel Institute of Technology. He has 39 publications in Mathematics. Hosam Mahmoud is a professor at the Department of Statistics at George Washington University in Washington D.C., where he is the former chair. He holds a Ph.D. in computer science from Ohio State University. He is on the editorial board of five academic journals.

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