This Smart-Kids activity book covers Time skills for grades 1 to 3 and provide extra practise where children needs it most. The workbook is divided into three levels so that children who learn faster can progress more quickly through the levels, while those who struggle can start with simpler work and build their skills gradually. It is specially written by experienced South African teachers and contains valuable notes, tips and answers for parents.

Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.

The main theme of this highly successful book is that the transmission of energy by wave propogation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of waves and vibrations, the book also demonstrates the pattern and unity of a large part of physics.
This new edition has been thoroughly revised and has been redeisgned to meet the best contemporary standards. It includes new material on electron waves in solids using the Kronig-Penney model to show how their allowed energies are limited to Brillouin zones, The role of phonons is also discussed. An Optical Transform is used to demonstrate the modern method of lens testing. In the last two chapters the sections on chaos and solitons have been reduced but their essential contents remain.
As with earlier editions, the book has a large number of problems together with hints on how to solve them. The Physics of Vibrations and Waves, 6th Edition will prove invaluable for students taking a first full course in the subject across a variety of disciplines particularly physics, engineering and mathematics.

Slimkoppe Vaardigheidsboek vir tyd is spesiaal ontwikkel om jou kind in graad 1 tot 3 met sleutelvaardighede van die Suid-Afrikaanse Kurrikulum te help. Die werkboek bied aktiwiteite op verskillende vlakke sodat jou kind stadig op die eerste vlak kan wegspring en geleidelik na die meer gevorderde aktiwiteite op die derde vlak kan vorder. Slimkoppe word geskryf deur ervare Suid-Afrikaanse onderwysers en bevat waardevolle notas, wenke en antwoorde vir ouers.

A concise yet rigorous introduction to logic and discrete mathematics. This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. The chapters on logic - propositional and first-order - provide a robust toolkit for logical reasoning, emphasizing the conceptual understanding of the language and the semantics of classical logic as well as practical applications through the easy to understand and use deductive systems of Semantic Tableaux and Resolution. The chapters on set theory, number theory, combinatorics and graph theory combine the necessary minimum of theory with numerous examples and selected applications. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in the accompanying solutions manual. Key Features : Suitable for a variety of courses for students in both Mathematics and Computer Science. Extensive, in-depth coverage of classical logic, combined with a solid exposition of a selection of the most important fields of discrete mathematics Concise, clear and uncluttered presentation with numerous examples. Covers some applications including cryptographic systems, discrete probability and network algorithms. Logic and Discrete Mathematics: A Concise Introduction is aimed mainly at undergraduate courses for students in mathematics and computer science, but the book will also be a valuable resource for graduate modules and for self-study.

Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.

A brand new edition of an internationally-renowned philosophy of science bestseller. Now well into its fourth decade, What is This Thing Called Science? has become something of a classic the world over, available in 19 languages. Each decade, Alan Chalmers has drawn on his experience as a teacher and researcher to improve and update the text. In his accessible style, Chalmers illuminates the major developments in the field of the philosophy of science over the past few years. The most significant feature of this fourth edition is the addition of an extensive postscript, in which Chalmers uses the results of his research into the history of atomism to illustrate and enliven key themes in the philosophy of science. Identifying the qualitative difference between knowledge of atoms as it figures in contemporary science and metaphysical speculations about atoms common in philosophy since the time of Democritus proves to be a highly revealing and instructive way to pinpoint key features of the answer to the question 'What is this thing called science?' This new edition ensures that the book holds its place as the leading introduction to the philosophy of science for the foreseeable future. 'Successive editions have retained and refined its clear, engaging and witty discussions of the most important topics in the field, incorporating the best new research in the field. This latest edition also adds a valuable layer of grounding in the history of science, particularly based on Chalmers' recent extensive research on the history of atomism'. Hasok Chang, Department of History and Philosophy of Science, Hans Rausing Professor of History and Philosophy of Science, University of Cambridge, UK

Provides learners with sufficient knowledge, skills and attitudes that will enable them to identify and explain the impact of human activities on the physical environment on the global, regional and local scales and measures that can be taken to reduce environmental degradation.

Key themes explored in the course include environmental worldviews, ecosystems, biodiversity, waste, renewable and non-renewable energy.

For one-term courses in Organic Chemistry. A comprehensive, problem-solving approach for the brief Organic Chemistry course. Modern and thorough revisions to the streamlined, Essential Organic Chemistry focus on developing students' problem solving and analytical reasoning skills throughout organic chemistry. Organised around reaction similarities and rich with contemporary biochemical connections, Bruice's 3rd Edition discourages memorisation and encourages students to be mindful of the fundamental reasoning behind organic reactivity: electrophiles react with nucleophiles. Developed to support a diverse student audience studying organic chemistry for the first and only time, Essentials fosters an understanding of the principles of organic structure and reaction mechanisms, encourages skill development through new Tutorial Spreads and and emphasises bioorganic processes. Contemporary and rigorous, Essentials addresses the skills needed for the 2015 MCAT and serves both pre-med and biology majors.

A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistical procedures. Chapters 4 and 5 cover hypothesis testing with simple and null hypotheses, respectively. Subsequent chapters discuss non-parametrics, interval estimation, point estimation, asymptotics, Bayesian procedure, and deviation theory. Student familiarity with standard statistical techniques is assumed.

In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual. Galileo Galilei, physicist and astronomer (1564-1642) This book is a second edition of "Classical Electromagnetic Theory" which derived from a set of lecture notes compiled over a number of years of teaching elect- magnetic theory to fourth year physics and electrical engineering students. These students had a previous exposure to electricity and magnetism, and the material from the ?rst four and a half chapters was presented as a review. I believe that the book makes a reasonable transition between the many excellent elementary books such as Gri?th's Introduction to Electrodynamics and the obviously graduate level books such as Jackson's Classical Electrodynamics or Landau and Lifshitz' Elect- dynamics of Continuous Media. If the students have had a previous exposure to Electromagnetictheory, allthematerialcanbereasonablycoveredintwosemesters. Neophytes should probable spend a semester on the ?rst four or ?ve chapters as well as, depending on their mathematical background, the Appendices B to F. For a shorter or more elementary course, the material on spherical waves, waveguides, and waves in anisotropic media may be omitted without loss of continuity.

This work introduces computer graphics from a mathematical perspective, offering a balance of theory, applications, and code. The book begins with a discussion of basic graphics tools such as vectors, matrices, and quaternions, then builds up to more advanced topics such as the intersection of three-dimensional objects. Both classical and new topics are covered. Some topics discussed include basic transforms, curves, surfaces, and subdivision surfaces. New techniques such as wavelets, fractals, parameterization, and fluid simulation are also covered. Throughout a large portion of the book, a new curve and surface algorithm is developed to illustrate the use of mathematics to develop compute graphics algorithms. The book contains all of the classes in C# necessary for computer graphics, providing a full explanation of the C# code and C# implementations for many of the algorithms are provided. The authors are affiliated with the University of Johannesburg, South Africa.

BIOCALCULUS: CALCULUS, PROBABILITY, AND STATISTICS FOR THE LIFE SCIENCES shows students how calculus relates to biology, with a style that maintains rigor without being overly formal. The text motivates and illustrates the topics of calculus with examples drawn from many areas of biology, including genetics, biomechanics, medicine, pharmacology, physiology, ecology, epidemiology, and evolution, to name a few. Particular attention has been paid to ensuring that all applications of the mathematics are genuine, and references to the primary biological literature for many of these has been provided so that students and instructors can explore the applications in greater depth. Although the focus is on the interface between mathematics and the life sciences, the logical structure of the book is motivated by the mathematical material. Students will come away with a sound knowledge of mathematics, an understanding of the importance of mathematical arguments, and a clear understanding of how these mathematical concepts and techniques are central in the life sciences.

Providing students with a clear and understandable introduction to the fundamentals of analysis, this book continues to present the fundamental concepts of analysis in as painless a manner as possible. To achieve this aim, the second edition has made many improvements in exposition.

A complete, highly accessible introduction to one of today’s most exciting areas of applied mathematics One of the youngest, most vital areas of applied mathematics, combinatorial optimization integrates techniques from combinatorics, linear programming, and the theory of algorithms. Because of its success in solving difficult problems in areas from telecommunications to VLSI, from product distribution to airline crew scheduling, the field has seen a ground swell of activity over the past decade. Combinatorial Optimization is an ideal introduction to this mathematical discipline for advanced undergraduates and graduate students of discrete mathematics, computer science, and operations research. Written by a team of recognized experts, the text offers a thorough, highly accessible treatment of both classical concepts and recent results. The topics include:

• Network flow problems
• Optimal matching
• Integrality of polyhedra
• Matroids
• NP-completeness

FINITE MATHEMATICS AND APPLIED CALCULUS, Seventh Edition, uses a large number of applications based on real data from business, economics, and the life and social sciences to help you see how mathematics relates to your own life and interests. Thorough spreadsheet and TI Graphing Calculator instructions appears throughout the text, and optional WebAssign platform include detailed teaching videos by an award-winning instructor. With these tools, plus the authors' website with online "game mode" tutorials and videos on every topic, this text will help you "get" mathematics, whatever your learning style may be.

Intended for non-majors or mixed biology courses. Campbell Biology: Concepts & Connections continues to introduce pedagogical innovations, which motivate students not only to learn, but also engage with biology. This bestselling textbook is designed to help students stay focused with its hallmark modular organisation around central concepts and engages students in connections between concepts and the world outside of the classroom with Scientific Thinking, Evolution Connection and Connection essays in every chapter. The 9th Edition offers students a framework organised around fundamental biological themes and encourages them to analyse visual representations of data with new Visualising the Data figures. A reorganised Chapter One emphasises the process of science and scientific reasoning, and robust instructor resources and multimedia allow students to engage with biological concepts in a memorable way. Unparalleled resources let instructors develop active and high interest lectures with ease. Samples Download the detailed table of contents Preview sample pages from Campbell Biology: Concepts & Connections, Global Edition

Slimkoppe Vaardigheidsboek vir Breuke is spesiaal ontwikkel om jou kind in graad 1 tot 3 met sleutelvaardighede van die Suid-Afrikaanse Kurrikulum te help. Die werkboek bied aktiwiteite op verskillende vlakke sodat jou kind stadig op die eerste vlak kan wegspring en geleidelik na die meer gevorderde aktiwiteite op die derde vlak kan vorder. Slimkoppe word geskryf deur ervare Suid-Afrikaanse onderwysers en bevat waardevolle notas, wenke en antwoorde vir ouers.

The new edition of this best-selling textbook addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp. Molecular Symmetry and Group Theory is based around a series of programmes that help students learn at their own pace and enable them to understand the subject fully. Readers are taken through a series of carefully constructed exercises, designed to simplify the mathematics and give them a full understanding of how this relates to the chemistry. The second edition has been revised and expanded and includes a new chapter on the projection operator method. This is used to calculate the form of the normal modes of vibration of a molecule and the normalised wave functions of hybrid orbitals or molecular orbitals.
Features:

• A concise, gentle introduction to symmetry and group theory
• Takes a programmed learning approach
• New material on projection operators, and the calculation of normal modes of vibration and normalised wave functions of orbitals.

PRINCIPLES OF INSTRUMENTAL ANALYSIS, 7th Edition, places an emphasis on operating principles of each type of instrument, its optimal area of application, its sensitivity, its precision, and its limitations. You'll also learn about elementary analog and digital electronics, computers, and the treatment of analytical data.

The renowned Oxford Chemistry Primer series, which provides focused introductions to a range of important topics in chemistry, has been refreshed and updated to suit the needs of today's students, lecturers, and postgraduate researchers. The rigorous, yet accessible, treatment of each subject area is ideal for those wanting a primer in a given topic to prepare them for more advanced study or research. Moreover, cutting-edge examples and applications throughout the texts show the relevance of the chemistry being described to current research and industry. The learning features provided, including questions at the end of every chapter and online multiple-choice questions, encourage active learning and promote understanding. Furthermore, frequent diagrams, margin notes, further reading, and glossary definitions all help to enhance a student's understanding of these essential areas of chemistry. Foundations of Molecular Structure Determination covers a range of common spectroscopic and diffraction methods alongside frequent worked examples and problem questions to assist beginning undergraduates in developing their skills in structure analysis. Furthermore, the practical application of these techniques is emphasized, especially to biological and medical systems. Online Resource Centre The Online Resource Centre to accompany Foundations of Molecular Structure Determination features: For registered adopters of the text: * Figures from the book available to download For students: * Downloadable CIF data files * Multiple-choice questions for self-directed learning * Full worked solutions to the end-of-chapter exercises

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.

Inspiring and motivating students from the moment it published, Organic Chemistry has established itself in just one edition as the students' choice of organic chemistry text. This second edition takes all that has made Organic Chemistry the book of choice, and has refined and refocused it to produce a text that is even more student-friendly, more coherent and more logical in its presentation than before. At heart, the second edition remains true to the first, being built on three principles: An explanatory approach, through which the reader is motivated to understand the subject and not just learn the facts; A mechanistic approach, giving the reader the power to understand compounds and reactions never previously encountered; An evidence-based approach, setting out clearly how and why reactions happen as they do, giving extra depth to the reader's understanding. The authors write clearly and directly, sharing with the reader their own fascination with the subject, and leading them carefully from topic to topic. Their honest and open narrative flags pitfalls and misconceptions, guiding the reader towards a complete picture of organic chemistry and its universal themes and principles. Enriched with an extensive bank of online resources to help the reader visualise the structure of organic compounds and their reaction mechanisms, this second edition reaffirms the position of Organic Chemistry as the essential course companion for all organic chemistry students. Online Resource Centre For students: A range of problems to accompany each chapter For registered adopters of the text: Figures from the book in electronic format

CONTEMPORARY ABSTRACT ALGEBRA, NINTH EDITION is primarily intended for an abstract algebra course whose main purpose is to enable students to do computations and write proofs. Gallian's text stresses the importance of obtaining a solid introduction to the traditional topics of abstract algebra, while at the same time presenting it as a contemporary and very much an active subject which is currently being used by working physicists, chemists, and computer scientists.

Cutting across traditional subject boundaries, Principles of Ecotoxicology, Fourth Edition gives readers an integrated view of ecotoxicology, from molecules to ecosystems. This new edition of a bestselling textbook continues to emphasize principles rather than practice, providing the interdisciplinary perspective and grounding required for research. Organized into three sections, the book first describes the molecular structures, properties, and environmental fate of pollutants. It then deals with the effects of pollutants on living organisms at the molecular, cellular, and individual levels. Moving into population biology and population genetics, the third part of the book addresses a question of great interest to ecologists: What effects do pollutants have at the levels of population, community, and the whole ecosystem? The book also looks at how ecotoxicology is used in the biomonitoring of environmental pollution, the investigation of pollution problems, the conducting of field trials, the study of the development of resistance, and the growing area of environmental risk assessments. Throughout, examples and case studies illustrate the principles. This updated fourth edition includes new material on nanoparticle pollution, bioaccumulation, biomarkers, and chemical warfare in nature, as well as a new chapter on the future directions of ecotoxicology. A concise textbook that will also appeal to practicing ecotoxicologists, it provides a solid basis for understanding what happens to chemicals in the real world, where they go, how they ultimately degrade, and how they affect the individuals and populations that encounter them. What's New in This Edition Revised and updated material throughout A chapter on future directions of ecotoxicology New material on nanoparticle pollution and chemical warfare in nature Expanded coverage of bioaccumulation, biomarkers, and risk assessment for affected populations More case studies, many from the United States Discussion of neurotoxic and behavioral effects of pollutants Recent research on the decline of vultures and effects of neonicotinoids on bees Organic Pollutants: An Ecotoxicological Perspective, Second Edition (CRC Press, 2008), a companion volume to this book, covers the mechanistic aspects of ecotoxicology in more depth.