Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

Books Journals

The Knowledge Level in Expert Systems

1st Edition
May 10, 2014
Luc Steels + 1 more
English
eBook
9 7 8 1 4 8 3 2 5 7 5 5 6

The Knowledge Level In Expert Systems: Conversations and Commentary deals with artificial intelligence, cognitive science, qualitative models, problem solving architectures, construction of knowledge bases, machine learning integration, knowledge sharing or reusability, and mapping problem-solving methods. The book tackles two opposing dogmas: first, that control is generic so is in the inference engine; and two, deep and surface knowledge are different so deep knowledge belongs in a performance system. The text also explains how to use SPARK, a selection method, in approaching the task features that can be used to select or construct the problem-solving method suitable for the task. An alternative method to SPARK starts with an analysis of the domain model and a classification using primitive inference steps. The book also adds that expert problem solving is a form of qualitative modeling that connects other expert systems and engineering. The text then describes very large knowledge bases, particularly, the volume of which knowledge bases can be integrated with expert systems, coherence maintenance, and use/neutral representation of knowledge. Task analysis and method selection focuses on SPARK; how theories about the relation between task features and expert system solutions can be empirically validated. The book also enumerates the benefits and limitations of a generic task approach, and how various modules with their specific internal architectures can be integrated. Programmers, computer engineers, computer technicians, and computer instructors dealing with many aspects of computers such as programming, networking, engineering or design will find the book highly useful.

Quick Reference to Computer Graphics Terms

1st Edition
May 10, 2014
Roger T. Stevens
English
eBook
9 7 8 1 4 8 3 2 1 4 3 3 7

Quick Reference to Computer Graphics Terms is a collection of technical terms used in computer graphics in a compact and convenient reference volume. The book lists a number of acronyms, phrases, and words that have specialized meanings in the field of computer graphics. The definitions provided are simple and easily understood. The author attempts to present, as much as possible, words and phrases that are widely used during the publication of the volume. Any terms not found in the book may be included in the next edition. Users of computers graphics and students will find the book useful.

Object-Oriented Graphics Programming in C++

1st Edition
May 10, 2014
Roger T. Stevens
English
eBook
9 7 8 1 4 8 3 2 6 8 4 3 9

Object-Oriented Graphics Programming in C++ provides programmers with the information needed to produce realistic pictures on a PC monitor screen. The book is comprised of 20 chapters that discuss the aspects of graphics programming in C++. The book starts with a short introduction discussing the purpose of the book. It also includes the basic concepts of programming in C++ and the basic hardware requirement. Subsequent chapters cover related topics in C++ programming such as the various display modes; displaying TGA files, and the vector class. The text also tackles subjects on the processing of objects; how the ray tracing process works; how to put the program together and compile and run it; and animation. Computer programmers will find the book very useful.

Dynamics and Modelling of Reactive Systems

1st Edition
May 10, 2014
Warren E. Stewart + 2 more
English
eBook
9 7 8 1 4 8 3 2 6 2 0 6 2

Dynamics and Modelling of Reactive Systems contains the proceedings of the Advanced Seminar on Dynamics and Modeling of Reactive Systems, held at the University of Wisconsin on October 1979. The book presents papers that assess the level of understanding of the dynamics of chemically reacting systems. The topics discussed include the hierarchies of models in reactive systems; model reduction of chemically reacting systems; and some consequences of nonlinearity in the diffusion process. Time-periodic and spatially irregular patterns; important aspects in simulating the dynamics of aerosols; and the diffusion and reaction in carbon burning are covered as well. Engineers and applied mathematicians will find the book highly insightful.

Oriented Projective Geometry

1st Edition
May 10, 2014
Jorge Stolfi
English
eBook
9 7 8 1 4 8 3 2 6 5 1 9 3

Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations than classical projective geometry. The aim of the book is to stress the value of oriented projective geometry for practical computing and develop it as a rich, consistent, and effective tool for computer programmers. The monograph is comprised of 20 chapters. Chapter 1 gives a quick overview of classical and oriented projective geometry on the plane, and discusses their advantages and disadvantages as computational models. Chapters 2 through 7 define the canonical oriented projective spaces of arbitrary dimension, the operations of join and meet, and the concept of relative orientation. Chapter 8 defines projective maps, the space transformations that preserve incidence and orientation; these maps are used in chapter 9 to define abstract oriented projective spaces. Chapter 10 introduces the notion of projective duality. Chapters 11, 12, and 13 deal with projective functions, projective frames, relative coordinates, and cross-ratio. Chapter 14 tells about convexity in oriented projective spaces. Chapters 15, 16, and 17 show how the affine, Euclidean, and linear vector spaces can be emulated with the oriented projective space. Finally, chapters 18 through 20 discuss the computer representation and manipulation of lines, planes, and other subspaces. Computer scientists and programmers will find this text invaluable.

Calculus Using Mathematica

1st Edition
May 10, 2014
K.D. Stroyan
English
eBook
9 7 8 1 4 8 3 2 6 7 9 7 5

Calculus Using Mathematica is intended for college students taking a course in calculus. It teaches the basic skills of differentiation and integration and how to use Mathematica, a scientific software language, to perform very elaborate symbolic and numerical computations. This is a set composed of the core text, science and math projects, and computing software for symbolic manipulation and graphics generation. Topics covered in the core text include an introduction on how to get started with the program, the ideas of independent and dependent variables and parameters in the context of some down-to-earth applications, formulation of the main approximation of differential calculus, and discrete dynamical systems. The fundamental theory of integration, analytical vector geometry, and two dimensional linear dynamical systems are elaborated as well. This publication is intended for beginning college students.

Calculus Using Mathematica

1st Edition
May 10, 2014
K.D. Stroyan
English
eBook
9 7 8 1 4 8 3 2 1 4 3 4 4

Calculus Using Mathematica: Scientific Projects and Mathematical Background is a companion to the core text, Calculus Using Mathematica. The book contains projects that illustrate applications of calculus to a variety of practical situations. The text consists of 14 chapters of various projects on how to apply the concepts and methodologies of calculus. Chapters are devoted to epidemiological applications; log and exponential functions in science; applications to mechanics, optics, economics, and ecology. Applications of linear differential equations; forced linear equations; differential equations from vector geometry; and to chemical reactions are presented as well. College students of calculus will find this book very helpful.

Computational Geometry

1st Edition
May 10, 2014
Su Bu-qing + 1 more
English
eBook
9 7 8 1 4 8 3 2 7 2 2 8 3

Computational Geometry: Curve and Surface Modeling provides information pertinent to the fundamental aspects of computational geometry. This book discusses the geometric properties of parametric polynomial curves by using the theory of affine invariants for algebraic curves. Organized into eight chapters, this book begins with an overview of the objects studies in computational geometry, namely surfaces and curves. This text then explores the developments in the theory and application of spline functions, which began with cubic spline functions. Other chapters consider the mechanical background of the cubic spline functions, which is the wooden spline with small deflection. This book discusses as well that in mathematical lofting the information of a geometric shape is given by a set of data points, while in geometric design other ways of representations are available. The final chapter deals with the concepts in the theory of algebraic curves. This book is a valuable resource for mathematicians.

Computer-Assisted Instruction at Stanford, 1966-68

1st Edition
May 10, 2014
Patrick Suppes + 1 more
English
eBook
9 7 8 1 4 8 3 2 5 7 9 3 8

Computer-Assisted Instruction at Stanford, 1966–68: Data, Models, and Evaluation of the Arithmetic Programs provides an analysis and assessment of the arithmetic programs in computer-assisted instruction at Stanford for the years 1966–68. This book focuses on behavioral data, the application of models to these data, and an assessment of the effectiveness of the programs. Organized into two parts encompassing nine chapters, this book begins with an overview of the drill-and-practice program that was run in a large number of elementary schools in California, Mississippi, and Kentucky. This text then explains the application of models to individual student behavior. Other chapters consider the analysis of student performance in computer-assisted instructions. This book discusses as well the application of automation models to some area of the same data of the drill-and-practice program. The final chapter deals with individual student analyses. This book is a valuable resource for psychologists, sociologists, and research workers.

Integer Programming

1st Edition
May 10, 2014
Hamdy A. Taha
J. William Schmidt
English
eBook
9 7 8 1 4 8 3 2 6 0 3 7 2

Integer Programming: Theory, Applications, and Computations provides information pertinent to the theory, applications, and computations of integer programming. This book presents the computational advantages of the various techniques of integer programming. Organized into eight chapters, this book begins with an overview of the general categorization of integer applications and explains the three fundamental techniques of integer programming. This text then explores the concept of implicit enumeration, which is general in a sense that it is applicable to any well-defined binary program. Other chapters consider the branch-and-bound methods, the cutting-plane method, and its closely related asymptotic problem. This book discusses as well several specialized algorithms for certain well-known integer models and provides an alternative approach to the solution of the integer problem. The final chapter deals with a number of observations about the formulations and executions of integer programming models. This book is a valuable resource for industrial engineers and research workers.

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Books in Mathematics

The Knowledge Level in Expert Systems

Quick Reference to Computer Graphics Terms

Object-Oriented Graphics Programming in C++

Dynamics and Modelling of Reactive Systems

Oriented Projective Geometry

Calculus Using Mathematica

Calculus Using Mathematica

Computational Geometry

Computer-Assisted Instruction at Stanford, 1966-68

Integer Programming

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