{"title":"Mathematics","description":"","products":[{"product_id":"college-algebra-trigonometry-sixth-edition-by-lial-et-al","title":"College Algebra \u0026 Trigonometry sixth edition by Lial et al","description":"\u003cp\u003eSECOND HAND\u003c\/p\u003e\n\u003cp\u003eISBN: \u003cspan\u003e9781292151953\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003ePublisher: Pearson 2017\u003c\/p\u003e\n\u003cp\u003eSoft cover, 1200 pages\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eFor courses in college algebra and trigonometry . Steadfast Support for your Evolving Course The College Algebra series, by Lial, Hornsby, Schneider, and Daniels, combines the experience of master teachers to help students develop both the conceptual understanding and the analytical skills necessary for success in mathematics. With this latest edition, the authors respond to the challenges of new student expectations and new classroom models. MyMathLab not included. Students, if MyMathLab is a recommended\/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information. Also available with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The authors have developed specific content in MyMathLab to give students the practice they need to develop a conceptual understanding of College Algebra and the analytical skills necessary for success in mathematics. 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This is greatly helped by the advent of excellent computer languages,\u003c\/p\u003e\n\u003cp\u003elike MATLAB, and state of the art Fortran software such as LAPACK, so that the fundamental building blocks for much of the armoury of a numerical analysis are now readily accessible.\u003c\/p\u003e","brand":"IH PENTZ BOOKSELLERS","offers":[{"title":"Default Title","offer_id":40221727686818,"sku":"","price":275.0,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0364\/4047\/3732\/products\/5B9780198511977_5D_20Image_20Processing_20-_20Mathematical_20Methods_20And_20Applications.jpg?v=1624871142"},{"product_id":"9780198501442","title":"An Introductory Course in Commutative Algebra by Chatters, A. W.","description":"\u003cp\u003eISBN: 9780198501442\u003c\/p\u003e\n\u003cp\u003eOxford University Press, \u003cspan data-mce-fragment=\"1\"\u003e16 July 1998\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003ePaperback, 152 pages \u003c\/p\u003e\n\u003cp\u003eThis book aims to be a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite\u003c\/p\u003e\n\u003cp\u003efields. 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Many of the problems in mechanics, geometry, probability, etc lead to such equations when formulated in mathematical terms. However, despite a long history of contributions, there exists no central core theory, and the most important advances have come from the study of particular equations and classes of\u003c\/p\u003e\n\u003cp\u003eequations arising in specific applications. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations like the incompressible and compressible Navier-Stokes\u003c\/p\u003e\n\u003cp\u003eequations. The main emphasis in Volume 1 is on the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, an original and self-contained study of both the classical Navier-Stokes equations (including the inhomogenous case) and the Euler equations is given. Known results and many new results about the existence and regularity of solutions are presented with complete proofs. The discussion contiatns many interesting insights and\u003c\/p\u003e\n\u003cp\u003eremarks. The text highlights in particular the use of modern analytical tools and methods and also indicates many open problems. Volume 2 will be devoted to essentially new results for compressible models. Written by one of the world's leading researchers in nonlinear partial differential equations,\u003c\/p\u003e\n\u003cp\u003eMathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena. 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Aimed at research mathematicians, engineers, and physicists, as well as those working in industry, and starting from a good understanding of the physics at play, the approach is a highly mathematical one, based on the rigorous\u003c\/p\u003e\n\u003cp\u003eanalysis of the equations at hand, and a solid numerical analysis to found the simulations. At each stage of the exposition, examples of numerical simulations are provided, first on academic test cases to illustrate the approach, next on benchmarks well documented in the professional literature, and\u003c\/p\u003e\n\u003cp\u003efinally, whenever possible, on real industrial cases.\u003c\/p\u003e","brand":"IH PENTZ BOOKSELLERS","offers":[{"title":"Default Title","offer_id":40221728440482,"sku":"","price":425.0,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0364\/4047\/3732\/products\/9780198566656.gif?v=1624873140"},{"product_id":"9780199239252","title":"Analysis and Stochastics of Growth Processes and Interface Models by Moerters, Peter","description":"\u003cp\u003eISBN: 9780199239252\u003c\/p\u003e\n\u003cp\u003eOxford University Press, \u003cspan data-mce-fragment=\"1\"\u003e19 October 2008\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003eHardback, 348 pages \u003c\/p\u003e\n\u003cp\u003eThis book is a collection of topical survey articles by leading researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is on the interplay of the two fields, with articles by analysts being accessible for researchers in probability, and vice versa. Mathematical methods discussed in the book comprise large deviation theory, lace expansion, harmonic multi-scale techniques\u003c\/p\u003e\n\u003cp\u003eand homogenisation of partial differential equations. Models based on the physics of individual particles are discussed alongside models based on the continuum description of large collections of particles, and the mathematical theories are used to describe physical phenomena such as droplet\u003c\/p\u003e\n\u003cp\u003eformation, Bose-Einstein condensation, Anderson localization, Ostwald ripening, or the formation of the early universe. The combination of articles from the two fields of analysis and probability is highly unusual and makes this book an important resource for researchers working in all areas close to the interface of these fields.\u003c\/p\u003e","brand":"IH PENTZ BOOKSELLERS","offers":[{"title":"Default Title","offer_id":40221728735394,"sku":"","price":500.0,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0364\/4047\/3732\/products\/9780199239252.gif?v=1624434776"},{"product_id":"9780205690053","title":"Elementary and Middle School Mathematics : Teaching Developmentally: International Edition by Walle, John A. Van de","description":"\u003cp\u003eISBN: 9780205690053\u003c\/p\u003e\n\u003cp\u003ePearson Education (US), 19 February 2009\u003c\/p\u003e\n\u003cp\u003ePaperback 576 pages\u003c\/p\u003e\n\u003cp\u003e\"It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids.\" John A. Van de Walle, Late of Virginia Commonwealth University\u003c\/p\u003e\n\u003cp\u003eThis is the philosophy behind Elementary and Middle School Mathematics: Teaching Developmentally. This book helps students understand mathematics and become confident in their ability to teach the subject to children in pre-kindergarten through eighth grade. Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Constructivism says that children construct their own knowledge. They are not blank slates waiting to absorb whatever the teacher tells them. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively.\u003c\/p\u003e\n\u003cp\u003eLearning through problem solving is another major theme of this book. Students solve problems not just to apply mathematics, but also to learn new mathematics. Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Learning then becomes an outcome of the problem solving process.\u003c\/p\u003e\n\u003cp\u003eThe book also addresses in more detail than any other book on the market the effect that the trends of standards-based education, increased pressure to test, and increased teacher accountability have had on teaching mathematics. He addresses the 2000 NCTM Standards in depth, in Chapter 1 on Teaching Mathematics in the Era of the NCTM Standards, through the NCTM icon that appears in the margins throughout the text, and in two appendices in the back of the book. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs.\u003c\/p\u003e\n\u003cp\u003eElementary and Middle School Mathematics: Teaching Developmentally is a book for doing math today-for both students who want to become teachers, and the students they will eventually teach.\u003c\/p\u003e\n\u003cp\u003eNew To This Edition:\u003c\/p\u003e\n\u003cp\u003eNEW!MyEducationLab icons in every chapter connect topics and ideas from chapter content to related videos, Expanded Lessons, simulations and other activities found on the MyEducationLab website at www.myeducationlab.com.\u003c\/p\u003e\n\u003cp\u003eNEW!Field Experience Guide Connections is a new box at the end of each chapter that connects content and topics from the chapter with related experiences and activities from the Field Experience Guide. NEW!Blackline Masters are updated and revised. Specific, numbered references are provided within each chapter. The full set of Blackline Masters is found in Appendix C and full-size copies of each Blackline Master are available both on MyEducationLab and also within the Field Experience Guide.NEW! End-of-Chapter pedagogy is reorganized to include: Reflections On and Resources For. The Reflections On section contains Writing to Learn and For Discussion and Exploration. The Resources For section contains Literature Connections (in Chapters 8-23), Field Experience Guide Connections, Recommended Readings (including books and articles), and Online Resources.\u003c\/p\u003e\n\u003cp\u003eNEW! Curriculum Focal Points are introduced in Chapter 1 and coverage and connections to chapter content are provided throughout the text.\u003c\/p\u003e\n\u003cp\u003eNEW! Appendix B: Mathematics Teaching Today (Second Edition of Professional Standards for Teaching Mathematics: Teaching Standards). The second edition of the teaching standards (released in 2007) provide a guide to mathematics educators on the knowledge, skills, and dispositions required for effective mathematics teaching.\u003c\/p\u003e\n\u003cp\u003eNEW! Expanded Lessons follow the lesson structure described in Chapter 4 and include mathematical goals, notes on preparation, specific student expectations, notes for assessment, and Blackline Masters when needed. These Lessons have been updated and reformatted for the new edition. The lessons provide a model for conveying an activity description into a real lesson plan and indicate the kind of thinking that is required in doing so. An example of an Expanded Lesson is found at the end of Chapter 4. In addition, one activity or concept in seven of the content chapters has been converted to a similar Expanded Lesson found on MyEducationLab.\u003c\/p\u003e\n\u003cp\u003eNEW! Developing as a Professional. There is a new emphasis on your long-term professional growth, from keeping you abreast of the most current documents in mathematics education to a whole new section in Chapter 1 that invites you to grow and learn as you become a teacher of mathematics. In Chapter 1, you will be introduced to the Curriculum Focal Points, and the newest version of the NCTM Professional Teaching Standards called Teaching Mathematics Today (these professional teaching standards are also found in Appendix B). You will also be made aware of all new NCTM position statements, thinking on Grade Level Expectations, and the results of major national and international assessments. In addition, there is a specific section in Chapter 1 that emphasizes your responsibility to develop your personal knowledge of mathematics, persistence, positive attitude, readiness for change, and reflective disposition. These are the elements of becoming a life-long learner.\u003c\/p\u003e\n\u003cp\u003eNEW! Algebraic Thinking. One of themost important changes in this edition is the treatment of algebraic thinking in Chapter 14 Algebraic Thinking: Generalizations, Patterns, and Functions. Although recently revised in the sixth edition, this new version reorganizes the chapter around five critical themes of algebraic thinking: generalization from arithmetic and from patterns in all of mathematics, meaningful use of symbols, study of structure in the number system, study of patterns and functions, and the process of mathematical modeling, which integrates the first four. In addition, there is increased attention to developing meaningful contexts for algebraic thinking across grades Pre-K-8, including connections to other subject areas.\u003c\/p\u003e\n\u003cp\u003eNEW! Doing and Understanding Mathematics. You will immediately note that there is one fewer chapter. Chapters 2 and 3 in the sixth edition separated the doing and understanding of mathematics. Now Chapter 2 connects the theories of learning \"why do\" to the implementation of \"doing\" mathematics. The theories of constructivism and socio-cultural theory are concisely and clearly described, followed by implications for teaching. Many sixth edition users requested this melding of the two chapters, and the resulting chapter should point to the need to tie theory to practice.\u003c\/p\u003e\n\u003cp\u003eNEW! Problem Solving. Although problem solving is integrated throughout the book, in Section I chapters you will find a new emphasis on teaching problem solving with a focus on the work of George Polya. Since we recognize that many teachers are using a curriculum that may not include the same focus on problem solving as espoused in the book, there is an excellent section in Chapter 3 on how to adapt textbooks to promote problem solving.\u003c\/p\u003e\n\u003cp\u003eNEW! Diversity. The emphasis on diversity will be obvious to those who have used the book in the past. This appears in many chapters, including how to differentiate instruction (including tiered lessons) and the advantages of flexible grouping (in Chapter 4), a new component of the lesson planning process (Chapter 3), and working with families who have diverse linguistic and cultural backgrounds (Chapters 4 and 6). Teaching Mathematics Equitably to all Children (Chapter 6) contains several new features including an expanded section for working with students with special needs covering the Response to Intervention (RTI) Model adapted for use with students in the mathematics classroom and a revised section offering research-based strategies for students with mild and significant disabilities. Finally, in Part II there is an intentional effort to weave considerations for working with students from diverse backgrounds into the discussions of concepts and methods.\u003c\/p\u003e\n\u003cp\u003eNEW! Technology. Not surprisingly there are many changes in the world of technology since the last edition and it will be challenging to keep up even as this edition is published. There is a more inclusive definition of technologies including digital tools, collaborative authoring tools, podcasts and dynamic software. This is in light of the thinking about Technological Pedagogical Content Knowledge, which reflects the need to infuse technology in every lesson. In Chapter 7, there is also a new rubric on how to select and evaluate internet resources, something that previous readers and reviewers requested. With that in mind, there is a distinct effort throughout the book to focus on software you do not need to buy, but can instead access online.\u003c\/p\u003e\n\u003cp\u003eNEW! Statistics and Data Analysis. Since the sixth edition, the American Statistical Association published the Guidelines for Assessment and Instruction in Statistics Education (GAISE) K-12 Report. This important document outlines a process for doing statistics that provides the foundation for Chapter 21. While data analysis remains an essential focus of this chapter, there are now added sections on posing questions, data collection and drawing inferences.\u003c\/p\u003e\n\u003cp\u003eOther Changes. Here are some other highlights new to the seventh edition:\u003c\/p\u003e\n\u003cp\u003eChapter 5 Building Assessment into Instruction now includes definitions of formative and summative assessment, rubrics that are clearly focused on the collection of evidence, and a section on diagnostic interviews to support you when working with students who are struggling.\u003c\/p\u003e\n\u003cp\u003eChapter 15 Developing Fraction Concepts now includes a section on the meaning of fractions and gives a list of ten strategies to remember when teaching fractions\u003c\/p\u003e\n\u003cp\u003eChapter 19 Developing Measurement Concepts, now includes the topic of money that was previously discussed in the chapter on place value.\u003c\/p\u003e\n\u003cp\u003eChapter 22 Exploring Concepts of Probability, includes many more real and engaging contexts for exploring probability, as well as an increased focus on the important concepts of sample size and variability.\u003c\/p\u003e","brand":"IH PENTZ BOOKSELLERS","offers":[{"title":"Default Title","offer_id":40221729620130,"sku":"","price":150.0,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0364\/4047\/3732\/products\/9780205690053.gif?v=1624437132"},{"product_id":"9780333780336","title":"E=mc 2 (Hb) : A Biography of the Worlds Most Famous Equation by Bodanis, David","description":"\u003cp\u003eISBN: 9780333780336\u003c\/p\u003e\n\u003cp\u003ePan MacMillan, 22 Septembver 2000\u003c\/p\u003e\n\u003cp\u003eHardback, 216 pages\u003c\/p\u003e\n\u003cp\u003eMost people know that Einstein's equation is important but they don't usually know why. 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The 2007 workshop at the University of Warwick was organised to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. 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This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. 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In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are well integrated. The mathematical insights that the student acquires are therefore driven by their physical insight. Topics that are covered include vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Green's functions, normal modes, tensor calculus and perturbation theory. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. This book can be used by undergraduates and lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.\u003c\/p\u003e","brand":"IH PENTZ BOOKSELLERS","offers":[{"title":"Default Title","offer_id":40221732372642,"sku":"","price":400.0,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0364\/4047\/3732\/products\/9780521834926.gif?v=1624870650"},{"product_id":"9780521857017","title":"A Practical Guide to the Invariant Calculus by Mansfield, Elizabeth Louise","description":"\u003cp\u003eISBN: 9780521857017\u003c\/p\u003e\n\u003cp\u003eCAMBRIDGE UNIVERSITY PRESS, \u003cspan data-mce-fragment=\"1\"\u003e30 June 2010\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003eHardback, 260 pages \u003c\/p\u003e\n\u003cp\u003eThis book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in detail. The author demonstrates how new ideas lead to significant progress in two main applications: the solution of invariant ordinary differential equations and the structure of Euler-Lagrange equations and conservation laws of variational problems. The expository language used here is primarily that of undergraduate calculus rather than differential geometry, making the topic more accessible to a student audience. More sophisticated ideas from differential topology and Lie theory are explained from scratch using illustrative examples and exercises. 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However, as this book points out, knowing which buttons to push without understanding why they have to be pushed is not of much use. 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The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering. Also included are a historical introduction to the theory, notes section, index of authors cited and index of matters treated. 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The aim is to equip the reader with control techniques that extend the benefits of model reduction of singular perturbation theory to engineering systems that possess interacting phenomena occurring at different speeds. New results and relevant background are presented through insightful examples that cover a wide range of applications from different branches of engineering. The book also discusses general rather than problem-specific developments in order to provide control engineers with useful analytical tools. It addresses new control problems using singular perturbation methods, including closed-form results for control of nonminimum phase systems. 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Will economic development lead to increased environmental degradation? How does the participation of women in the labor force differ across countries? How do college scholarship rules affect savings?\u003cbr\u003e\u003cbr\u003eStudents come to economics wanting answers to questions like these. While these questions span different disciplines within economics, the methods used to address them draw on a common set of mathematical tools and techniques. The second edition of Mathematical Methods for Economics continues the tradition of the first edition by successfully teaching these tools and techniques through presenting them in conjunction with interesting and engaging economic applications. In fact, each of the questions posed above is the subject of an application in Mathematical Methods for Economics. The applications in the text provide students with an understanding of the use of mathematics in economics, an understanding that is difficult for students to grasp without numerous explicit examples. 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Packed with examples and real data, UK-based author Nicoleta Gaciu joins Gerald Keller in this new edition to present a comprehensive, application-driven text developed and tailored especially for courses across the UK, Europe, the Middle East and Africa (EMEA). 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