Analysis For Computer Scientists

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Analysis for Computer Scientists

Michael Oberguggenberger,Alexander Ostermann
Analysis for Computer Scientists Book PDF

Author : Michael Oberguggenberger,Alexander Ostermann
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 50,8 Mb
Release : 2011-03-19
Category : Computers
ISBN : 9780857294463

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Analysis for Computer Scientists by Michael Oberguggenberger,Alexander Ostermann Pdf

This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.

Analysis for Computer Scientists

Michael Oberguggenberger,Alexander Ostermann
Analysis for Computer Scientists Book PDF

Author : Michael Oberguggenberger,Alexander Ostermann
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 2018
Category : Computer science
ISBN : 3319911562

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Analysis for Computer Scientists by Michael Oberguggenberger,Alexander Ostermann Pdf

This textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises. Topics and features : Describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; Discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; Presents tools from vector and matrix algebra in the appendices, together with further information on continuity; Includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); Contains experiments, exercises, definitions, and propositions throughout the text; Supplies programming examples in Python, in addition to MATLAB (NEW); Provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material.

Practical Analysis of Algorithms

Dana Vrajitoru,William Knight
Practical Analysis of Algorithms Book PDF

Author : Dana Vrajitoru,William Knight
Publisher : Springer
Page : 466 pages
File Size : 49,6 Mb
Release : 2014-09-03
Category : Computers
ISBN : 9783319098883

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Practical Analysis of Algorithms by Dana Vrajitoru,William Knight Pdf

This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.

Statistical Analysis for Engineers and Scientists

J. Wesley Barnes
Statistical Analysis for Engineers and Scientists Book PDF

Author : J. Wesley Barnes
Publisher : McGraw-Hill Companies
Page : 440 pages
File Size : 54,5 Mb
Release : 1993
Category : Engineering
ISBN : UOM:39076001469704

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Statistical Analysis for Engineers and Scientists by J. Wesley Barnes Pdf

This text covers topics such as nonparametric statistics, statistical quality control, multivariate regression analysis and operating characteristic curves. The accompanying MAC software gives a complete treatment of statistically valid sample sizes in all tests of hypotheses addressed.

Relations and Graphs

Gunther Schmidt,Thomas Ströhlein
Relations and Graphs Book PDF

Author : Gunther Schmidt,Thomas Ströhlein
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642779688

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Relations and Graphs by Gunther Schmidt,Thomas Ströhlein Pdf

Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.

The Design and Analysis of Computer Experiments

Thomas J. Santner,Brian J. Williams,William I. Notz
The Design and Analysis of Computer Experiments Book PDF

Author : Thomas J. Santner,Brian J. Williams,William I. Notz
Publisher : Springer
Page : 436 pages
File Size : 44,5 Mb
Release : 2019-01-08
Category : Mathematics
ISBN : 9781493988471

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The Design and Analysis of Computer Experiments by Thomas J. Santner,Brian J. Williams,William I. Notz Pdf

This book describes methods for designing and analyzing experiments that are conducted using a computer code, a computer experiment, and, when possible, a physical experiment. Computer experiments continue to increase in popularity as surrogates for and adjuncts to physical experiments. Since the publication of the first edition, there have been many methodological advances and software developments to implement these new methodologies. The computer experiments literature has emphasized the construction of algorithms for various data analysis tasks (design construction, prediction, sensitivity analysis, calibration among others), and the development of web-based repositories of designs for immediate application. While it is written at a level that is accessible to readers with Masters-level training in Statistics, the book is written in sufficient detail to be useful for practitioners and researchers. New to this revised and expanded edition: • An expanded presentation of basic material on computer experiments and Gaussian processes with additional simulations and examples • A new comparison of plug-in prediction methodologies for real-valued simulator output • An enlarged discussion of space-filling designs including Latin Hypercube designs (LHDs), near-orthogonal designs, and nonrectangular regions • A chapter length description of process-based designs for optimization, to improve good overall fit, quantile estimation, and Pareto optimization • A new chapter describing graphical and numerical sensitivity analysis tools • Substantial new material on calibration-based prediction and inference for calibration parameters • Lists of software that can be used to fit models discussed in the book to aid practitioners

Mathematics for Computer Science

Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Mathematics for Computer Science Book PDF

Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 50,5 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066

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Mathematics for Computer Science by Eric Lehman,F. Thomson Leighton,Albert R. Meyer Pdf

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Writing for Computer Science

Justin Zobel
Writing for Computer Science Book PDF

Author : Justin Zobel
Publisher : Taylor & Francis
Page : 292 pages
File Size : 41,7 Mb
Release : 2004-06-03
Category : Computers
ISBN : 1852338024

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Writing for Computer Science by Justin Zobel Pdf

A complete update to a classic, respected resource Invaluable reference, supplying a comprehensive overview on how to undertake and present research

Probability and Statistics for Computer Science

David Forsyth
Probability and Statistics for Computer Science Book PDF

Author : David Forsyth
Publisher : Springer
Page : 367 pages
File Size : 44,5 Mb
Release : 2017-12-13
Category : Computers
ISBN : 9783319644103

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Probability and Statistics for Computer Science by David Forsyth Pdf

This textbook is aimed at computer science undergraduates late in sophomore or early in junior year, supplying a comprehensive background in qualitative and quantitative data analysis, probability, random variables, and statistical methods, including machine learning. With careful treatment of topics that fill the curricular needs for the course, Probability and Statistics for Computer Science features: • A treatment of random variables and expectations dealing primarily with the discrete case. • A practical treatment of simulation, showing how many interesting probabilities and expectations can be extracted, with particular emphasis on Markov chains. • A clear but crisp account of simple point inference strategies (maximum likelihood; Bayesian inference) in simple contexts. This is extended to cover some confidence intervals, samples and populations for random sampling with replacement, and the simplest hypothesis testing. • A chapter dealing with classification, explaining why it’s useful; how to train SVM classifiers with stochastic gradient descent; and how to use implementations of more advanced methods such as random forests and nearest neighbors. • A chapter dealing with regression, explaining how to set up, use and understand linear regression and nearest neighbors regression in practical problems. • A chapter dealing with principal components analysis, developing intuition carefully, and including numerous practical examples. There is a brief description of multivariate scaling via principal coordinate analysis. • A chapter dealing with clustering via agglomerative methods and k-means, showing how to build vector quantized features for complex signals. Illustrated throughout, each main chapter includes many worked examples and other pedagogical elements such as boxed Procedures, Definitions, Useful Facts, and Remember This (short tips). Problems and Programming Exercises are at the end of each chapter, with a summary of what the reader should know. Instructor resources include a full set of model solutions for all problems, and an Instructor's Manual with accompanying presentation slides.

Design and Modeling for Computer Experiments

Kai-Tai Fang,Runze Li,Agus Sudjianto
Design and Modeling for Computer Experiments Book PDF

Author : Kai-Tai Fang,Runze Li,Agus Sudjianto
Publisher : CRC Press
Page : 304 pages
File Size : 42,8 Mb
Release : 2005-10-14
Category : Mathematics
ISBN : 9781420034899

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Design and Modeling for Computer Experiments by Kai-Tai Fang,Runze Li,Agus Sudjianto Pdf

Computer simulations based on mathematical models have become ubiquitous across the engineering disciplines and throughout the physical sciences. Successful use of a simulation model, however, requires careful interrogation of the model through systematic computer experiments. While specific theoretical/mathematical examinations of computer experim

The Design and Analysis of Algorithms

Dexter C. Kozen
The Design and Analysis of Algorithms Book PDF

Author : Dexter C. Kozen
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461244004

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The Design and Analysis of Algorithms by Dexter C. Kozen Pdf

These are my lecture notes from CS681: Design and Analysis of Algo rithms, a one-semester graduate course I taught at Cornell for three consec utive fall semesters from '88 to '90. The course serves a dual purpose: to cover core material in algorithms for graduate students in computer science preparing for their PhD qualifying exams, and to introduce theory students to some advanced topics in the design and analysis of algorithms. The material is thus a mixture of core and advanced topics. At first I meant these notes to supplement and not supplant a textbook, but over the three years they gradually took on a life of their own. In addition to the notes, I depended heavily on the texts • A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms. Addison-Wesley, 1975. • M. R. Garey and D. S. Johnson, Computers and Intractibility: A Guide to the Theory of NP-Completeness. w. H. Freeman, 1979. • R. E. Tarjan, Data Structures and Network Algorithms. SIAM Regional Conference Series in Applied Mathematics 44, 1983. and still recommend them as excellent references.

Logic for Computer Scientists

Uwe Schöning
Logic for Computer Scientists Book PDF

Author : Uwe Schöning
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 45,5 Mb
Release : 2009-11-03
Category : Mathematics
ISBN : 9780817647636

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Logic for Computer Scientists by Uwe Schöning Pdf

This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.

Probability and Statistics for Computer Science

James L. Johnson
Probability and Statistics for Computer Science Book PDF

Author : James L. Johnson
Publisher : John Wiley & Sons
Page : 764 pages
File Size : 50,7 Mb
Release : 2011-09-09
Category : Mathematics
ISBN : 9781118165966

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Probability and Statistics for Computer Science by James L. Johnson Pdf

Comprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: "to present the mathematical analysis underlying probability results" Special emphases on simulation and discrete decision theory Mathematically-rich, but self-contained text, at a gentle pace Review of calculus and linear algebra in an appendix Mathematical interludes (in each chapter) which examine mathematical techniques in the context of probabilistic or statistical importance Numerous section exercises, summaries, historical notes, and Further Readings for reinforcement of content

Analysis and Synthesis of Computer Systems

Erol Gelenbe,Isi Mitrani
Analysis and Synthesis of Computer Systems Book PDF

Author : Erol Gelenbe,Isi Mitrani
Publisher : World Scientific
Page : 324 pages
File Size : 54,8 Mb
Release : 2010-04-14
Category : Computers
ISBN : 9781908978424

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Analysis and Synthesis of Computer Systems by Erol Gelenbe,Isi Mitrani Pdf

Analysis and Synthesis of Computer Systems presents a broad overview of methods that are used to evaluate the performance of computer systems and networks, manufacturing systems, and interconnected services systems. Aside from a highly readable style that rigorously addresses all subjects, this second edition includes new chapters on numerical methods for queueing models and on G-networks, the latter being a new area of queuing theory that one of the authors has pioneered. This book will have a broad appeal to students, practitioners and researchers in several different areas, including practicing computer engineers as well as computer science and engineering students. Contents:Basic Tools of Probabilistic ModellingThe Queue with Server of Walking Type and Its Applications to Computer System ModellingQueueing Network ModelsQueueing Networks with Multiple Classes of Positive and Negative Customers and Product Form SolutionMarkov-Modulated QueuesDiffusion Approximation Methods for General Queueing NetworksApproximate Decomposition and Iterative Techniques for Closed Model SolutionSynthesis Problems in Single-Resource Systems: Characterisation and Control of Achievable PerformanceControl of Performance in Mutliple-Resource SystemsA Queue with Server of Walking Type Readership: Academic, students, professionals, telecommunications industry, operations management and industry. Keywords:Computer Systems;Computer Networks;Queuing Theory;Quality of Service;Performance Evaluation

Challenges at the Interface of Data Analysis, Computer Science, and Optimization

Wolfgang Gaul,Andreas Geyer-Schulz,Lars Schmidt-Thieme,Jonas Kunze
Challenges at the Interface of Data Analysis Computer Science and Optimization Book PDF

Author : Wolfgang Gaul,Andreas Geyer-Schulz,Lars Schmidt-Thieme,Jonas Kunze
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 50,8 Mb
Release : 2012-02-09
Category : Computers
ISBN : 9783642244650

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Challenges at the Interface of Data Analysis, Computer Science, and Optimization by Wolfgang Gaul,Andreas Geyer-Schulz,Lars Schmidt-Thieme,Jonas Kunze Pdf

This volume provides approaches and solutions to challenges occurring at the interface of research fields such as data analysis, computer science, operations research, and statistics. It includes theoretically oriented contributions as well as papers from various application areas, where knowledge from different research directions is needed to find the best possible interpretation of data for the underlying problem situations. Beside traditional classification research, the book focuses on current interests in fields such as the analysis of social relationships as well as statistical musicology.