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The Nelson Mathematics for Cambridge International AS & A Level series is tailored to the needs of A and AS Level students of the latest 9709 syllabus. Developed by a team of experienced examiners and international authors, it provides comprehensive coverage for this syllabus and effective preparation for the Cambridge exams. Nelson Mechanics 2 for Cambridge International A Level is for students taking the M2 exam paper. The text provides introductions to topics and step-by-step worked examples to aid students in their understanding of the course material. Other features include: learning objectives, letting students know what they need to learn in each topic; summaries of formulae and key information, helping students to revise; clear diagrams, helping to explain difficult concepts, and plenty of examples, strengthening students' understanding. In addition, practice exam papers provide students with opportunities for effective exam preparation and so help them reach their full potential.
Die titel dien 'n tweeledige doel - dit is 'n toevoeging tot die vakliteratuur en ook 'n ontsluitingsbron vir leke op die vakgebied. Die praktiese toepassing van statistiese metodes in die alledaagse praktyk word deeglik behandel en met toepaslike voorbeelde toegelig. Vanwee die skrywers se kennis en ervaring as statistiese konsultante, is die titels vakkundig akkuraat, maar tog sterk prakties gerig.
This series is designed to meet the needs of students and lecturers of the National Certificate Vocational. Features for the student include: Easy-to-understand language; Real-life examples; A key word feature for important subject terms; A dictionary feature for difficult words; A reflect-on-how-you-learn feature to explore personal learning styles; Workplace-oriented activities; and Chapter summaries that are useful for exam revision.
This Student Book provides full support for the Decision Maths 2 paper in the Edexcel A Level exams. Throughout the book, the explanations are clear and concise, with an emphasis on visual presentation, abundant worked examples and learning by doing. In every chapter, sequential exercises allow students to practise first their fluency and skills, and then the new exam-style problem-solving and modelling questions. The problem-solving is supported by Strategy boxes, which provide guidance on how best to approach these questions. Short answers are given in the back, while full step-by-step solutions to every single question can be found online. This Student Book belongs to a series of 10 OUP Student Books covering all the compulsory and optional papers for Edexcel Further Maths AS and A Level.
This accessible guide is intended for those persons who need to polish up their rusty maths, or who need to get a grip on the basics of the subject for the first time. Each concept is explained, with appropriate examples, and is applied in an exercise. The solutions to all exercises are set out in detail. The book uses informal conversational language and will change the perception that mathematics is only for special people. The author has taught the subject at different levels for many years.
MATLAB: A Practical Introduction to Programming and Problem Solving, winner of TAA's 2017 Textbook Excellence Award ("Texty"), guides the reader through both programming and built-in functions to easily exploit MATLAB's extensive capabilities for tackling engineering and scientific problems. Assuming no knowledge of programming, this book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. The fifth edition has been updated to reflect the functionality of the current version of MATLAB (R2018a), including the addition of local functions in scripts, the new string type, coverage of recently introduced functions to import data from web sites, and updates to the Live Editor and App Designer.
Model theory deals with a branch of mathematical logic showing
connections between a formal language and its interpretations or
models. This is the first and most successful textbook in logical
model theory. Extensively updated and corrected in 1990 to
accommodate developments in model theoretic methods -- including
classification theory and nonstandard analysis -- the third edition
added entirely new sections, exercises, and references.
Written by a prominent Russian mathematician, this concise
monograph examines aspects of queuing theory as an application of
probability. The three-part treatment begins with a study of the
stream of incoming demands (or "calls," in the author's
terminology). Subsequent sections explore systems with losses and
systems allowing delay. Prerequisites include a familiarity with
the theory of probability and mathematical analysis.
Larson/Edwards' CALCULUS, 11E, INTERNATIONAL METRIC EDITION expertly combines the printed textbook and technology to deliver everything you need to master the material and pass the class. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text, and the website CalcChat.com presents free solutions to all of the odd-numbered exercises in the text.
David Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems.
The latest edition of this very successful and authoritative set of tables, first published in 1984, still benefits from clear typesetting, which makes the figures easy to read and use, but has been improved by the addition of new tables. These give Bayesian confidence limits for the binomial and Poisson distributions, and for the square of the multiple correlation coefficient, which have not been previously available. The intervals are the shortest possible, consistent with the requirement on probability. The authors have taken great care to ensure the clarity of the tables and how their values may be used; the tables are easily interpolated. The book contains all the tables likely to be required for elementary statistical methods in the social, business and natural sciences, and will be an essential aid for teachers, users and students in these areas.
Accessible to students and flexible for instructors, COLLEGE ALGEBRA AND TRIGONOMETRY, Eight Edition, incorporates the dynamic link between concepts and applications to bring mathematics to life. By integrating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calculators. The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. This interaction between the examples and Try Exercises serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the eighth edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts.
ELEMENTARY TECHNICAL MATHEMATICS Eleventh Edition is written to help students with minimal math background successfully prepare for technical, trade, allied health, or Tech Prep programs. The authors focus on fundamental concepts in basic arithmetic including the metric system and measurement, algebra, geometry, trigonometry, and statistics, which are supported by thousands of examples, exercises, and applications surrounding such fields as industrial and construction trades, electronics, agriculture/horticulture, allied health, CAD/drafting, HVAC, welding, auto/diesel service, aviation, natural resources, culinary arts, business/personal finance, and others. For this revision, the authors have added over 150 new exercises, 30 new examples, new applications categories, and a new appendix on simple inequalities. The goal of ELEMENTARY TECHNICAL MATHEMATICS is to engage students and provide them with the math background they need to succeed in future courses and careers.
The phase-integral method in mathematics, also known as the
Wentzel-Kramers-Brillouin (WKB) method, is the focus of this
introductory treatment. Author John Heading successfully steers a
course between simplistic and rigorous approaches to provide a
concise overview for advanced undergraduates and graduate students
in mathematics and physics.
Why do so many of us struggle to remember the maths we were taught at school? The answer is that we can successfully memorise things for a short period but we only retain those memories long term if we understand them. Mattias Ribbing is a Grand Master of Memory who will show you how to remember maths through truly understanding it. His methods are simple but will last for life, and unwrap the puzzle of maths forever. The key to confidence with numbers is not remembering complex rules surrounding long division or algebra; it's understanding the critical components of maths and being able to clearly visualise problems and solutions. This illuminating guide to improving your maths provides logical, long-term strategies that will enable you to finally get maths and hold on to that level of confidence thereafter.
Edexcel and A Level Modular Mathematics S1 features: Student-friendly worked examples and solutions, leading up to a wealth of practice questions. Sample exam papers for thorough exam preparation. Regular review sections consolidate learning. Opportunities for stretch and challenge presented throughout the course. 'Escalator section' to step up from GCSE. PLUS Free LiveText CD-ROM, containing Solutionbank and Exam Cafe to support, motivate and inspire students to reach their potential for exam success. Solutionbank contains fully worked solutions with hints and tips for every question in the Student Books. Exam Cafe includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary.
UNDERSTANDABLE STATISTICS: CONCEPTS AND METHODS, Eleventh Edition, is a thorough yet accessible program designed to help readers overcome their apprehensions about statistics. The authors provide clear guidance and informal advice while showing the links between statistics and the world. To reinforce this approach--and make the material interesting as well as easier to understand--the book integrates real-life data from a variety of sources, including journals, periodicals, newspapers, and the Internet. Readers also have opportunities to develop their critical-thinking and statistical literacy skills through special features and exercises throughout the text. The use of graphing calculators, Excel (R), MINITAB (R), and SPSS (R) is covered for those who wish to learn about these helpful tools.
In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.
Learn to: * Master maths with more than 2,000 practice questions * Add, subtract, multiply and divide with confidence * Work with decimals, fractions and percentages * Size up weights and measures Fun, friendly coaching and all the practice you need to tackle maths problems with confidence and ease In his popular Basic Maths For Dummies, professional maths tutor Colin Beveridge proved that he could turn anyone even the most maths-phobic person into a natural-born number cruncher. In this book he supplies more of his unique brand of maths-made-easy coaching, plus 2,000 practice problems to help you master what you learn. Whether you're prepping for a numeracy test or an employability exam, thinking of returning to school, or you'd just like to be one of those know-it-alls who says, 'Oh, that's easy!' about any maths problem that comes your way, this book is for you. *Master basic arithmetic, fast in no time, solving addition, subtraction, multiplication and division problems will seem as easy as tying your shoes *Face down fractions you'll never again feel shy around fractions, decimals, percentages and ratios *Juggle weights and measures like a pro whether it's a question of how much it weighs, how long (or far) it is, or how much it costs, you'll never be at a loss for an answer *Make shapes your playthings circles, squares, triangles and rectangles you'll measure them, draw them and manipulate them with ease Open the book and find: *2,000 pencil-and-paper practice problems * The keys to mastering addition, subtraction, multiplication and division * The lowdown on fractions, decimals and percentages * Basic geometry made easy * How to handle weights, measures and money problems * How to read charts, tables and graphs at a glance
A guide to critical thinking in the 'post-truth' era, from the author of Sunday Times best-seller The Organized Mind We live in a world of information overload. Facts and figures on absolutely everything are at our fingertips, but are too often biased, distorted, or outright lies. From unemployment figures to voting polls, IQ tests to divorce rates, we're bombarded by seemingly plausible statistics on how people live and what they think. Daniel Levitin teaches us how to effectively ask ourselves: can we really know that? And how do they know that? In this eye-opening, accessible guide filled with fascinating examples and practical takeaways, acclaimed neuroscientist Daniel Levitin shows us how learning to understand statistics will enable you to make better, smarter judgements on the world around you.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830-1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the "real mathematics" of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Chatelet), Zalamea challenges philosophy's self-imposed ignorance of the "making of mathematics." In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
Exam board: AQA Level: A level Subject: Maths First teaching: September 2017 First exams: Summer 2019 Provide full support for the AQA Discrete content of the new specification with worked examples, stimulating activities and assessment support to help develop understanding, reasoning and problem solving. - Help prepare students for assessment with skills-building activities and fully worked examples and solutions tailored to the changed criteria. - Build understanding through carefully worded expositions that set out the basics and the detail of each topic, with call-outs to add clarity. - Test knowledge and develop understanding, reasoning and problem solving with banded Exercise questions that increase in difficulty (answers provided in the back of the book and online). - Gain a full understanding of the logical steps that are used in creating each individual algorithm - Encourages students to track their progress using learning outcomes and Key Points listed at the end of each chapter.
Exam Board: Edexcel Level: AS and A level Subject: Further Mathematics First teaching: September 2017 First exams: Summer 2018 With over 1.3 million copies sold of the previous edition, Pearson's textbooks are the market-leading and most trusted resources for AS and A level Further Mathematics. This book covers all the content needed for the optional Edexcel AS and A level Further Mechanics 2 exams. Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling. FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank) and GeoGebra interactives. Includes access to an online digital edition (valid for 3 years once activated). Includes worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises.
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