Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
|
Your cart is empty |
|||
Books > Science & Mathematics > Mathematics > Algebra
This textbook, the first of its kind, presents the fundamentals of distance geometry: theory, useful methodologies for obtaining solutions, and real world applications. Concise proofs are given and step-by-step algorithms for solving fundamental problems efficiently and precisely are presented in Mathematica (R), enabling the reader to experiment with concepts and methods as they are introduced. Descriptive graphics, examples, and problems, accompany the real gems of the text, namely the applications in visualization of graphs, localization of sensor networks, protein conformation from distance data, clock synchronization protocols, robotics, and control of unmanned underwater vehicles, to name several. Aimed at intermediate undergraduates, beginning graduate students, researchers, and practitioners, the reader with a basic knowledge of linear algebra will gain an understanding of the basic theories of distance geometry and why they work in real life.
There is good reason to be excited about Linear Algebra. With the world becoming increasingly digital, Linear Algebra is gaining more and more importance. When we send texts, share video, do internet searches, there are Linear Algebra algorithms in the background that make it work. This concise introduction to Linear Algebra is authored by a leading researcher presents a book that covers all the requisite material for a first course on the topic in a more practical way. The book focuses on the development of the mathematical theory and presents many applications to assist instructors and students to master the material and apply it to their areas of interest, whether it be to further their studies in mathematics, science, engineering, statistics, economics, or other disciplines. Linear Algebra has very appealing features: *It is a solid axiomatic based mathematical theory that is accessible to a large variety of students. *It has a multitude of applications from many different fields, ranging from traditional science and engineering applications to more 'daily life' applications. *It easily allows for numerical experimentation through the use of a variety of readily available software (both commercial and open source). Several suggestions of different software are made. While MATLAB is certainly still a favorite choice, open-source programs such as Sage (especially among algebraists) and the Python libraries are increasingly popular. This text guides the student to try out different programs by providing specific commands.
Business Psychology and Organizational Behaviour introduces principles and concepts in psychology and organizational behaviour with emphasis on relevance and applications. Well organised and clearly written, it draws on a sound theoretical and applied base, and utilizes real-life examples, theories, and research findings of relevance to the world of business and work. The new edition of this best-selling textbook has been revised and updated with expanded and new material, including: proactive personality and situational theory in personality; theory of purposeful work behaviour; emotional and social anxiety in communication; decision biases and errors; and right brain activity and creativity, to name a few. There are numerous helpful features such as learning outcomes, chapter summaries, review questions, a glossary, and a comprehensive bibliography. Illustrations of practice and relevant theory and research also take the reader through individual, group, and organizational perspectives. This is an essential textbook for undergraduates and postgraduates studying psychology and organizational behaviour. What is more, it can be profitably used on degree, diploma, professional, and short courses. It's also likely to be of interest to the reflective practitioner in work organizations.
This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.
The concept of the 'ideal city' is, perhaps, more important today - when planners and architects are so firmly confined by considerations of our immediate environment - than ever before. Yet it is a concept which has profoundly influenced the western world throughout history, both as a regulative model and as an inspiration. Rosenau traces the progress of the concept from biblical sources through the hellenistic and Roman empires to the Renaissance and the later Age of Enlightenment, when the emphasis shifted from religious to social considerations. She goes on to discuss the resultant nineteenth-century ideal planning, when the idea of social betterment was approached with a specific and conscious effort. This book was first published in 1983.
This collection of essays in English urban history covers a period which has been called 'the Dark Ages in English Economic History', on which it directs a revealing light. The essays range from a discussion of the role of ceremony in the civic life of Coventry at teh end of the Middle Ages to the influence of war on London Merchant class at the end of the seventeenth century. This book was first published in 1972.
This book was first published in 1947.
In this book, Michael W. Kramer applies uncertainty reduction theory (URT)--a key theory in current communication scholarship--to the context of organizational communication. Examining URT and the range of research applicable to organizational settings, Kramer proposes a groundbreaking theory of managing uncertainty (TMU), which synthesizes prior research while also addressing its criticisms. Examples are provided to illustrate the principles of the TMU at both the individual and collective (group/organizational) levels of analysis. Original studies based on the theory show that it provides a useful extension of URT, addressing some concerns raised by critics of that earlier model. Kramer illustrates that, as a model in progress, TMU will change as new research and insights build upon it. Managing Uncertainty in Organizational Communication assists readers in understanding and researching uncertainty in communication, which encourages additional changes and improvements to the model. It is of primary interest to scholars, researchers, and practitioners in organizational, interpersonal, and group communication.
From Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere -- and they are fundamental to everyday life.Seventeen Equations that Changed the World examines seventeen ground-breaking equations that have altered the course of human history. He explores how Pythagoras's Theorem led to GPS and Satnav; how logarithms are applied in architecture; why imaginary numbers were important in the development of the digital camera, and what is really going on with Schroedinger's cat. Entertaining, surprising and vastly informative, Seventeen Equations that Changed the World is a highly original exploration -- and explanation -- of life on earth.
Analyzing Group Interactions gives a comprehensive overview of the use of different methods for the analysis of group interactions. International experts from a range of different disciplines within the social sciences illustrate their step-by-step procedures of how they analyze interactions within groups and explain what kind of data and skills are needed to get started. Each method is discussed in the same, structured manner, focusing on each method's strengths and weaknesses, its applicability and requirements, and the precise workflow to "follow along" when analyzing group interactions with the respective method. The analyzing strategies covered in this book include ethnographical approaches, phenomenology, content analysis, documentary method, discourse analysis, grounded theory, social network analysis, quantitative ratings, and several triangulative and mixed-method research designs. This volume is recommended for researchers at all levels that need guidance with the complex task of analyzing group interactions. The unified structure throughout the book facilitates comparison across the different methods and helps with deciding on the approach to be taken.
This groundbreaking book provides a refreshing introduction to the field of leadership and is jam-packed with theoretical and practical insights derived from a wealth of applied scientific research conducted by the authors and their colleagues around the world over the last three decades. It starts from the premise that leadership is never just about leaders. Instead it is about leaders and followers who are joined together as members of a social group that provides them with a sense of shared social identity - a sense of "us-ness". In these terms, leadership is understood as the process through which leaders work with followers to create, represent, advance, and embed this sense of shared social identity. The new edition of this award-winning book presents a wealth of evidence from historical, organizational, political and sporting contexts to provide an expanded exploration of these processes of identity leadership in action. In particular, it builds upon the success of the first edition by examining the operation of identity leadership in contemporary society and fleshing out practical answers to key organizational and institutional challenges. Drawing on real-world examples and rich data sources, this book will appeal to academics, researchers, and students of psychology, business, and management, as well as to practitioners, policy makers, and anyone interested in the workings of leadership, influence, and power.
The grade-saving Algebra I companion, with hundreds of additional practice problems online Algebra I Workbook For Dummies is your solution to the Algebra brain-block. With hundreds of practice and example problems mapped to the typical high school Algebra class, you'll crack the code in no time! Each problem includes a full explanation so you can see where you went wrong or right every step of the way. From fractions to FOIL and everything in between, this guide will help you grasp the fundamental concepts you'll use in every other math class you'll ever take. This new third edition includes access to an online test bank, where you'll find bonus chapter quizzes to help you test your understanding and pinpoint areas in need of review. Whether you're preparing for an exam or seeking a start-to-finish study aid, this workbook is your ticket to acing algebra. * Master basic operations and properties to solve any problem * Simplify expressions with confidence * Conquer factoring and wrestle equations into submission * Reinforce learning with online chapter quizzes Algebra I is a fundamentally important class. What you learn here will follow you throughout Algebra II, Trigonometry, Calculus, and beyond, including Chemistry, Physics, Biology, and more. Practice really does make perfect and this guide provides plenty of it. Study, practice, and score high!
Explorations in College Algebra's overarching goal is to reshape the College Algebra course to make it more relevant and accessible to all students. This is achieved by shifting the focus from learning a set of discrete mechanical rules to exploring how algebra is used in social and physical sciences and the world around you. By connecting mathematics to real-life situations, students come to appreciate its power and beauty.
The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are knowledge of first year calculus and a little programming experience - a background that can be assumed of the intended audience. The book is written in a lean and lively style, with numerous examples to illustrate the issues and techniques discussed. It presents the principal algorithms and data structures, while also discussing the inherent and practical limitations of these systems
Shortlisted for the British Psychological Society Book Award (Academic Monograph category) 2014! A CHOICE Outstanding Academic Title 2013! Psychological research shows that our emotions and feelings often guide the moral decisions we make about our own lives and the social groups to which we belong. But should we be concerned that our important moral judgments can be swayed by "hot" passions, such as anger, disgust, guilt, shame and sympathy? Aren't these feelings irrational and counterproductive? Using a functional conflict theory of emotions (FCT), Giner-Sorolla proposes that each emotion serves a number of different functions, sometimes inappropriately, and that moral emotions in particular are intimately tied to problems faced by the individuals in a group, and by groups interacting with each other. Specifically, the author suggests that these emotions help us, as individuals and group members, to: Appraise developments in the environment Learn through association Regulate our own behavior Communicate convincingly with others. Drawing on extensive research, including many studies from the author's own lab, this book shows why emotions work to encourage reasonable moral behaviour, and why they sometimes fail. This is the first single-authored volume in the field of psychology dedicated to a separate examination of the major moral and positive emotions. As such, the book is ideal reading for researchers, postgraduates and undergraduates of social psychology, sociology, philosophy and politics.
Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision. Unlike similar texts, this book first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra. It starts with 3D Euclidean geometry along with discussions as to how the descriptions of geometry could be altered if using a non-orthogonal (oblique) coordinate system. The text focuses on Hamilton's quaternion algebra, Grassmann's outer product algebra, and Clifford algebra that underlies the mathematical structure of geometric algebra. It also presents points and lines in 3D as objects in 4D in the projective geometry framework; explores conformal geometry in 5D, which is the main ingredient of geometric algebra; and delves into the mathematical analysis of camera imaging geometry involving circles and spheres. With useful historical notes and exercises, this book gives readers insight into the mathematical theories behind complicated geometric computations. It helps readers understand the foundation of today's geometric algebra.
"This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of these essays. Highlighting the pervasive nature of mathematics today in different areas, the book also covers the spread of mathematical ideas and techniques in areas ranging from computer science to physics to biology"--
Under intense scrutiny for the last few decades, Multiple Objective Decision Making (MODM) has been useful for dealing with the multiple-criteria decisions and planning problems associated with many important applications in fields including management science, engineering design, and transportation. Rough set theory has also proved to be an effective mathematical tool to counter the vague description of objects in fields such as artificial intelligence, expert systems, civil engineering, medical data analysis, data mining, pattern recognition, and decision theory. Rough Multiple Objective Decision Making is perhaps the first book to combine state-of-the-art application of rough set theory, rough approximation techniques, and MODM. It illustrates traditional techniques-and some that employ simulation-based intelligent algorithms-to solve a wide range of realistic problems. Application of rough theory can remedy two types of uncertainty (randomness and fuzziness) which present significant drawbacks to existing decision-making methods, so the authors illustrate the use of rough sets to approximate the feasible set, and they explore use of rough intervals to demonstrate relative coefficients and parameters involved in bi-level MODM. The book reviews relevant literature and introduces models for both random and fuzzy rough MODM, applying proposed models and algorithms to problem solutions. Given the broad range of uses for decision making, the authors offer background and guidance for rough approximation to real-world problems, with case studies that focus on engineering applications, including construction site layout planning, water resource allocation, and resource-constrained project scheduling. The text presents a general framework of rough MODM, including basic theory, models, and algorithms, as well as a proposed methodological system and discussion of future research.
The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.
This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many applications of current interest in the theory of nonlinear differential equations are presented to complement the theory. The text is essentially self-contained, so it may also be used as an introduction to topological methods in nonlinear analysis. This volume will appeal to graduate students and researchers in mathematical analysis and its applications.
This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative algebra and algebraic geometry, and it has become of renewed importance recently in the context of applied and computational algebra. This monograph provides a valuable complement to sparse elimination theory in that it presents in careful detail the algebraic difficulties from working over general base rings. This is essential for applications in arithmetic geometry and many other places. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples.
Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains. Features * Introduces new concepts in the Theory of Rings and Modules * Suitable for researchers and graduate students working in this area, and as supplementary reading for courses in Group Theory, Ring Theory, Lie Algebras and Sheaf Theory * The first book to explicitly outline this new approach to gliders and fragments and associated concepts
Volume IV of the series "Mathematics and Physics Applied to Science and Technology," this comprehensive six-book set covers: Linear Differential Equations and Oscillators Non-linear Differential Equations and Dynamical Systems Higher-order Differential Equations and Elasticity Simultaneous Systems of Differential Equations and Multi-dimensional Oscillators Singular Differential Equations and Special Functions Classification and Examples of Differential Equations and their Applications
The book is devoted to varieties of linear singular integral
equations, with special emphasis on their methods of solution. It
introduces the singular integral equations and their applications
to researchers as well as graduate students of this fascinating and
growing branch of applied mathematics. |
You may like...
Calculus - Early Transcendental…
Ron Larson, Bruce H Edwards
Hardcover
R8,513
Discovery Miles 85 130
Introductory Algebra - An Applied…
Joanne Lockwood, Richard Aufmann
Paperback
|