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Books > Academic & Education > University Of Johannesburg > Maths & Science
With its clear and simple writing style, PRECALCULUS: MATHEMATICS FOR CALCULUS, 7E, INTERNATIONAL METRIC EDITION, will give you a solid foundation in the principles of mathematical thinking. Problem solving and mathematical modeling are reinforced throughout. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help you develop insight into mathematical ideas. Online resources available with the text give you the practice you need to improve your grade in the course.
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.
This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes. The book is divided into two main parts: Deterministic methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial differential equations. The second part deals with the generation of random numbers, summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic optimization. All this is again motivated and augmented by applications from physics. In addition, the book offers a number of appendices to provide the reader with information on topics not discussed in the main text. Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear and application-oriented style support the reader. Ready to use C++ codes are provided online.
NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Haeussler, Paul, and Wood establish a strong algebraic foundation that sets this text apart from other applied mathematics texts, paving the way for students to solve real-world problems that use calculus. Emphasis on developing algebraic skills is extended to the exercises-including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize manageability for teachers and learning for students. The table of contents covers a wide range of topics efficiently, enabling instructors to tailor their courses to meet student needs.
Chemistry, Seventh Edition provides the necessary practice, support, concept mastery and individualized instruction that ensure success in the General Chemistry course. The unique "chemical tools" approach employed in this book provides a way of thinking that helps readers develop the ability to analyze and solve both mathematical and conceptual problems. New to This Edition:
The Wiley Advantage
Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics, is a thoroughly modern treatment of the mathematics that underlies economic theory. An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organisation-these are the advantages that Mathematics for Economists brings to today's classroom.
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.
Reviews from the First Edition: "An excellent text a ] The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist) "No matter how gently one introduces students to the concept of Diraca (TM)s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of." (Physics Bulletin) Reviews of the Second Edition: "This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. a ] It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews) R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text foradvanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The booka (TM)s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.
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.
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.
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.
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
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.
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
Guru and Hiziroglu have produced an accessible and user-friendly text on electromagnetics that will appeal to both students and professors teaching this course. This lively book includes many worked examples and problems in every chapter, as well as chapter summaries and background revision material where appropriate. The book introduces undergraduate students to the basic concepts of electrostatic and magnetostatic fields, before moving on to cover Maxwell's equations, propagation, transmission and radiation. Chapters on the Finite Element and Finite Difference method, and a detailed appendix on the Smith chart are additional enhancements. MathCad code for many examples in the book and a comprehensive solutions set are available at www.cambridge.org/9780521830164.
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.
This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a calculus course for scientists and engineers? ESSENTIAL CALCULUS, 2E, International Metric Edition offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages-two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. ESSENTIAL CALCULUS, 2E, International Metric Edition features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world.
This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.
This undergraduate textbook merges traditional solid state physics with contemporary condensed matter physics, providing an up-to-date introduction to the major concepts that form the foundations of condensed materials. The main foundational principles are emphasized, providing students with the knowledge beginners in the field should understand. The book is structured in four parts and allows students to appreciate how the concepts in this broad area build upon each other to produce a cohesive whole as they work through the chapters. Illustrations work closely with the text to convey concepts and ideas visually, enhancing student understanding of difficult material, and end-of-chapter exercises varying in difficulty allow students to put into practice the theory they have covered in each chapter and reinforce new concepts.
This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity-the same as found in James Stewart's market-leading Calculus text-is what makes this text the proven market leader.
A revision of the defining book covering the physics and classical mathematics necessary to understand electromagnetic fields in materials and at surfaces and interfaces. The third edition has been revised to address the changes in emphasis and applications that have occurred in the past twenty years.
Leading the reader from the fundamental principles of inorganic chemistry, right through to cutting-edge research at the forefront of the subject, Inorganic Chemistry, Seventh Edition is the ideal course companion for the duration of a student's degree. The authors have drawn upon their extensive teaching and research experience to update this text; the seventh edition retains the much-praised clarity of style and layout from previous editions, while offering an enhanced section on 'expanding our horizons'. The latest innovative applications of green chemistry have been added, to clearly illustrate the real-world significance of the subject. This edition also sees a greater used of learning features, including substantial updates to the problem solving questions, additional self-tests and walk through explanations which enable students to check their understanding of key concepts and develop problem-solving skills. Providing comprehensive coverage of inorganic chemistry, while placing it in context, this text will enable the reader to fully master this important subject. Online Resources: Inorganic Chemistry, Seventh Edition is accompanied by a range of online resources: For registered adopters of the text: * Figures, marginal structures, and tables of data ready to download * Test bank For students: * Answers to self-tests and exercises from the book * Tables for group theory * Web links * Links to interactive structures and other resources on www.chemtube3D.com
An understanding of thermal physics is crucial to much of modern
physics, chemistry and engineering. This book provides a modern
introduction to the main principles that are foundational to
thermal physics, thermodynamics and statistical mechanics. The key
concepts are carefully presented in a clear way, and new ideas are
illustrated with copious worked examples as well as a description
of the historical background to their discovery. Applications are
presented to subjects as diverse as stellar astrophysics,
information and communication theory, condensed matter physics and
climate change. Each chapter concludes with detailed exercises.
The Fourth Edition of Niva Tro’s Chemistry: A Molecular Approach reinforces students’ development of 21st century skills including data interpretation and analysis, problem solving and quantitative reasoning, applying conceptual understanding to new situations and peer-to-peer collaboration. Nivaldo Tro presents chemistry visually through multi-level images–macroscopic, molecular, and symbolic representations–helping students see the connections between the world they see around them (macroscopic), the atoms and molecules that compose the world (molecular), and the formulas they write down on paper (symbolic). The benefits of Dr. Tro’s problem-solving approach are reinforced through digital, Interactive Worked Examples that provide students with an office-hour type of environment and expanded coverage on the latest developments in chemistry. New Key Concept Videos explain difficult concepts while new end-of-chapter problems including Group Work questions and Data Interpretation and Analysis questions engage students in applying their understanding of chemistry. The revision has been constructed to easily incorporate material for instructors and students to engage in Before, During, and After class activities. MasteringChemistry™ is not included. Students, if MasteringChemistry is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MasteringChemistry should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.
This textbook is designed especially for the upper-division courses in general parasitology. It emphasizes principles, illustrating them with material on the biology, physiology, morphology, and ecology of the major parasites of humans and domestic animals. Other parasites are included as well, when they are of unusual biological interest. This is not a diagnostic manual for medical students.
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