C++ and Object-Oriented Numeric Computing

C++ and Object-Oriented Numeric Computing

This new text/reference presents an accessible, concise, but rather complete, introduction to the C++ programming language with special emphasis on object-oriented numeric computation for scientific and engineering program development. The description of the language is in compliance with ISO/ANSI standards and is platform independent for maximum versatility. Requiring only basic calculus and linear algebra as prerequisites, the book introduces concepts, techniques, and standard libraries of C++ in a manner that is easy to understand and uses such familiar examples as vectors, matrices, integrals, and complex numbers. It also contains an introduction to C++ programs for applications with many numberic methods that are fundamental to science and engineering computing: polynomial evaluation and interpolation; numeric integration; methods for solving nonlinear equations; systems of linear equations in full, band, and sparse matrix storage formats; and ordinary and partial differential equations. Numerous techniques and examples are provided on how to reduce (C and Fortran) run-time overhead and improve program efficiency. Topics and features: *concise coverage of C++ programming concepts with object-oriented emphasis*numerous examples, coding tools, sample programs and exercises for reinforcement and self-study purposes*develops and uses basic and advanced features, as well as standard libraries of C++*covers many fundamental numeric methods for scientific and engineering computing applications*downloadable user-defined numeric linear algebra library available from author web site With an accessible style, intuitive topic development, and numerous examples, the book is an excellent resource and guide to the power, versatility and efficiency of C++ programming for numeric computing applications. Advanced students, practitioners and professionals in computer science, engineering and scientific computing in general will find the book a practical guide and resource for their work and applications program development.

C++ and Object-Oriented Numeric Computing

Mathematics for Multimedia

Mathematics for Multimedia

Mathematics and Multimedia focuses on the mathematics behind multimedia applications. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills.The topics are `gems’ chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.The book is aimed at a wide audience, including computer science and mathematics majors and those interested in employing mathematics in multimedia design and implementation.

Mathematics for Multimedia

Linear Algebra

Linear Algebra

Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course in mathematics. This textbook provides a rigorous introduction to the main concepts of linear algebra which will be suitable for all students coming to the subject for the first time. The book is in two parts: Part One develops the basic theory of vector spaces and linear maps, including dimension, determinants, and eigenvalues and eigenvectors. Part Two goes on to develop more advanced topics and in particular the study of canonical forms for matrices. Professor Berberian is at pains to explain all the ideas underlying the proofs of results as well as to give numerous examples and applications. There is an abundant supply of exercises to reinforce the reader’s grasp of the material and to elaborate on ideas from the text. As a result, this book presents a well-rounded and mathematically sound first course in linear algebra.

Linear Algebra

Maple By Example

Maple By Example

Maple by Example, Third Edition, is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. The CD-ROM provides updated Maple input and all text from the book.

Maple By Example

Linear Algebra with Applications, 3rd Edition

Linear Algebra with Applications, 3rd Edition

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Linear Algebra with Applications, 3rd Edition

Many-Body Boson Systems

Many-Body Boson Systems

Many-body Boson Systems: Half a Century Later offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between ideas of general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.

Many-Body Boson Systems

The Mathematics of Money

The Mathematics of Money

The Mathematics of Money: Math for Business and Personal Finance covers all the traditional topics of the business math course, but with a more algebraic focus than many of the texts currently on the market. The text develops a solid understanding of percent and interest early, then applies that foundation to other applications in business and personal finance. While it is appropriate for students of all levels, the book takes the approach that even if students are coming into the class with only high school math, neither they nor the instructor need to be afraid of algebra; it takes care to clearly present and reinforce the formulas given and to consistently return to them and apply the material to contexts that are relevant to the students.

The Mathematics of Money

Schaums Outline of College Algebra, Second Edition

Schaums Outline of College Algebra, Second Edition

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Schaums Outline of College Algebra, Second Edition

College Algebra

College Algebra

Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students

College Algebra

Schaums Outline of theory and Problems of Elementary Algebra, Third Edition

Schaums Outline of theory and Problems of Elementary Algebra, Third Edition

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Schaums Outline of theory and Problems of Elementary Algebra, Third Edition

Algebra and Trigonometry - Second Edition

Algebra and Trigonometry - Second Edition

The student solutions manual provides worked-out solutions to the odd-numbered problems in the text. Use of the solutions manual ensures that students learn the correct steps to arrive at an answer.

Algebra and Trigonometry - Second Edition

The Development of Arabic Mathematics

The Development of Arabic Mathematics

An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history.

The Development of Arabic Mathematics

Algebra for College Students, Eighth Edition

Algebra for College Students, Eighth Edition

Make math a snap with ALGEBRA FOR COLLEGE STUDENTS. Using everyday language and lots of examples, Kaufman and Schwitters show you how to apply algebra concepts and ace the test. This volume also comes with Interactive Skillbuilder CD-ROM. This program is packed with over 8 hours of video instruction to help it all make sense. Plus, you’ll get the powerful web-based iLrn Homework program that makes your assignments a breeze. Get the grade you need with ALGEBRA FOR COLLEGE STUDENTS.

Algebra for College Students, Eighth Edition

Algebra, Geometry and Software Systems

Algebra, Geometry and Software Systems

The book contains surveys and research papers on mathematical software and algorithms. The common thread is that the field of mathematical applications lies on the border between algebra and geometry. Topics include polyhedral geometry, elimination theory, algebraic surfaces, Gr’obner bases, triangulations of point sets and the mutual relationship. This diversity is accompanied by the abundance of available software systems which often handle only special mathematical aspects. Therefore the volumes other focus is on solutions towards the integration of mathematical software systems. This includes low-level and XML based high-level communication channels as well as general frameworks for modular systems.

Algebra, Geometry and Software Systems

Educational Algebra

Educational Algebra

Given its abstract nature and the highly syntactical competence required by the use of symbolic algebra, research on its teaching and learning must rely on approaches that include semiotic concepts and analyses that recall the history of algebraic ideas, among others. Educational Algebra: A Theoretical and Empirical Approach deals with a theoretical perspective on the study of school algebra, in which both components (semiotics and history) occur. This perspective runs opposite to general theoretical models, since it submits components for the design of local frameworks for theoretical analysis. The Methodological design allows for the interpretation of specific phenomena and the inclusion, within such interpretative frameworks, of evidence not included in more general treatments. Such is the case of phenomena observed in subjects who are initiating the study of symbolic algebra, involving the production of personal sign systems at the intermediate level or the level previous to the mathematical sign system which is to be learned. Disciplines such as Linguistics, Logic, Psycholinguistics, Semiotics, general Cognitive Psychology, Mathematics Psychology, Mathematics Epistemology, History of Mathematics, and others have carried out research on the same topics approached by Mathematics Education and have redefined their results within the framework of their respective fields. Specifically, theorists in Linguistics, Information Processing and Didactics of Mathematics have done important work on the notion of code. Today, this notion is a key element to interpreting the idea of representation in the new explanatory models of cognitive problems placed by alternative teaching approaches, including those involving a technological environment. Additionally, Psycholinguistics and Artificial Intelligence in procedural models of human abilities have intended to explain how and why users of mathematical language naturally and commonly make mistakes in syntactical procedures. Educational Algebra: A Theoretical and Empirical Approach adds to previous developments with priority given to a pragmatic perspective on ‘meaning in use’ over ‘formal meaning’. The bulk of these approaches and others of similar nature have lead to a focus on competence rather than on a users activity with mathematical language. Such a shift in perspective has fundamental implications on the way mathematical language is studied. Essentially, Grammarthe abstract formal systemand Pragmaticsthe principles of the use of languageare complementary domains in this volume. Both are related to different teaching models, whether new or traditional, used in helping students to become competent users of Algebra. Because of this, Educational Algebra: A Theoretical and Empirical Approach will be of interest to researchers and practitioners within the mathematics education field.

Educational Algebra

Teaching and Learning Algebra

Teaching and Learning Algebra

Algebra is widely recognised to be a difficult aspect of the Mathematics currciculum – one that not all pupils see the point of. Yet an understanding of algebra provides the key to the great power and potential interest of Mathematics in general. Up to now, detailed advice and guidance on the teaching and learning of algebra has been difficult to find. Here, however, Doug French provides a comprehensive, authoritative and, above all, constructive guide to the subject.

Teaching and Learning Algebra

Vector and Geometric Calculus

Vector and Geometric Calculus

This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. It is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one.

Vector and Geometric Calculus

Linear and Geometric Algebra

Linear and Geometric Algebra

This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields. The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text. This is a second printing, corrected and slightly revised. Visit the book’s web site for more information: http: //faculty.luther.edu/ macdonal/laga I commend Alan Macdonald for his excellent book! His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues. Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors. — David Hestenes, Distinguished Research Professor, Arizona State University

Linear and Geometric Algebra

Encyclopedia of General Topology

Encyclopedia of General Topology

This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.

Encyclopedia of General Topology

California Algebra I

California Algebra I

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California Algebra I