e-books in Computer Mathematics category
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphicsby Justin Solomon - CRC Press , 2015
Using examples from a broad base of computational tasks, including data processing and computational photography, the book introduces numerical modeling and algorithmic design from a practical standpoint and provides insight into theoretical tools.
(10607 views)
Curves and Surfaces in Geometric Modeling: Theory and Algorithmsby Jean Gallier - Morgan Kaufmann , 1999
This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work -- whether you are a graduate student, scientist, or practitioner.
(8374 views)
Fractals- Wikibooks , 2013
The aim of this text is to develop an informal, light introduction to the world of fractal geometry and to inspire further research into the subject, whether your interest is of a pure, applied or even recreational nature.
(10547 views)
Probabilistic Programming and Bayesian Methods for Hackersby Cameron Davidson-Pilon - GitHub, Inc. , 2013
This book is designed as an introduction to Bayesian inference from a computational understanding-first, and mathematics-second, point of view. The book assumes no prior knowledge of Bayesian inference nor probabilistic programming.
(23979 views)
Mathematics in the Age of the Turing Machineby Thomas Hales - arXiv , 2013
Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.
(17415 views)
The Life of Pi: From Archimedes to Eniac and Beyondby Jonathan M. Borwein - DocServer , 2010
The desire to understand Pi, the challenge, and originally the need, to calculate ever more accurate values of Pi, has challenged mathematicians for many many centuries, and Pi has provided compelling examples of computational mathematics.
(21406 views)
Pictures of Julia and Mandelbrot Sets- Wikibooks , 2010
The purpose of this book is to show how the computer can draw technically perfect pictures of Julia and Mandelbrot sets. All the necessary theory is explained and some words are said about how to put the things into a computer program.
(16603 views)
Think Stats: Probability and Statistics for Programmersby Allen B. Downey - Green Tea Press , 2011
Think Stats is an introduction to Probability and Statistics for Python programmers. This new book emphasizes simple techniques you can use to explore real data sets and answer interesting statistical questions. Basic skills in Python are assumed.
(24227 views)
Isabelle/HOL: A Proof Assistant for Higher-Order Logicby T. Nipkow, L.C. Paulson, M. Wenzel - Springer , 2010
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
(19069 views)
Computer Algebra, Algorithms, Systems and Applicationsby Richard Liska, at al. - Czech Technical University , 1996
From the table of contents: Introduction; Algorithms for algebraic computation; Integrated mathematical systems; Basic possibilities of integrated mathematical systems; Applications of computer algebra; Another sources of study.
(19089 views)
Algorithms in Real Algebraic Geometryby S. Basu, R. Pollack, M. Roy - Springer , 2009
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
(18933 views)
Implementing Mathematics with The Nuprl Proof Development Systemby R. L. Constable, at al. - Prentice Hall , 1986
The authors offer a tutorial on the new mathematical ideas which underlie their research. Many of the ideas in this book will be accessible to a well-trained undergraduate with a good background in mathematics and computer science.
(18235 views)
Algorithmic Algebraby Bhubaneswar Mishra - Courant Institute of Mathematical Sciences , 1993
The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra.
(23673 views)
An Architecture for Combinator Graph Reductionby Philip J. Koopman, Jr. - Academic Press , 1990
The results of cache-simulation experiments with an abstract machine for reducing combinator graphs are presented. The abstract machine, called TIGRE, exhibits reduction rates that compare favorably with previously reported techniques.
(18466 views)
Strange Attractors: Creating Patterns in Chaosby Julien C. Sprott - M & T Books , 2000
Chaos and fractals have revolutionized our view of the world. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns.
(22053 views)
Art Gallery Theorems and Algorithmsby Joseph O'Rourke - Oxford University Press , 1987
Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas.
(21706 views)
Axiom: The Scientific Computation Systemby Richard D. Jenks, Robert S. Sutor - axiom-developer.org , 2003
Axiom is a free general purpose computer algebra system. The book gives a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms developed by the symbolic computation community, and presents advanced techniques.
(24138 views)
Mathematics for Computer Scientistsby Gareth J. Janacek, Mark L. Close - BookBoon , 2008
In this textbook you will find the basic mathematics needed by computer scientists. It should help you to understand the meaning of mathematical concepts. Subjects as elementary logic, factorization, plotting functions and matrices are explained.
(28516 views)
Mathematical Illustrations: A Manual of Geometry and PostScriptby Bill Casselman - Cambridge University Press , 2005
The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.
(22391 views)
Mathematics for Algorithm and Systems Analysisby Edward A. Bender, S. Gill Williamson - Dover Publications , 2005
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
(32671 views)
Vector Math for 3D Computer Graphicsby Bradley Kjell - Central Connecticut State University , 2003
A text on vector and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books. Useful to computer science students interested in game programming.
(23646 views)
Algorithmic Mathematicsby Leonard Soicher, Franco Vivaldi - Queen Mary University of London , 2004
This text is a course in mathematical algorithms, intended for second year mathematics students. It introduces the algorithms for computing with integers, polynomials and vector spaces. The course requires no computing experience.
(25058 views)
A Computational Introduction to Number Theory and Algebraby Victor Shoup - Cambridge University Press , 2005
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
(42865 views)