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"Intermediate Algebra" employs a proven, three-step problem-solving approach - learn a skill, use the skill to solve equations, and then use the equations to solve application problems - to keep students focused on building skills and reinforcing them through practice. This simple and straightforward approach, in an easy-to-read format, has helped many students grasp and apply fundamental problem-solving skills. The carefully structured pedagogy includes learning objectives, detailed examples to develop concepts, practice exercises, an extensive selection of problem-set exercises, and well-organized end-of-chapter reviews and assessments. The clean and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad array of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. Also, as recommended by the American Mathematical Association of Two-Year Colleges, many basic geometric concepts are integrated in problem-solving scenarios. The text's resource package - anchored by Enhanced WebAssign, an online homework management tool - saves instructors time while also providing additional help and skill-building practice for students outside of class.
This exciting new core textbook offers a clear and practical introduction to quantitative methods, taking a project-based approach. The author's extensive knowledge and straightforward writing style ensure that students are steered through the process step-by-step, from developing research questions and preparing data for analysis, to explaining how to present data in appropriate formats, avoid bias, and write up results and reports. Featuring a comprehensive pedagogical framework and companion website, readers are encouraged to follow practice analyses as they go, with examples given in both SPSS and Excel, and templates are provided for students' own research. In addition to covering the research project, chapters also cover the essential mathematical and statistical analyses that are a logical consequence of posing a quantitative research methods question. This is the perfect text for all social science students studying introductory modules on quantitative methods, research methods or statistics at undergraduate or postgraduate level. It also functions as an effective guide for undergraduate and postgraduate students faced with an independent research project.
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Archimedes to today's breakthroughs in chaos theory and artificial intelligence. Filled with idiosyncratic characters from Pythagoras to Fourier, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilisation, including science, politics, medicine, philosophy, and much besides.
This textbook offers a compact introductory course on Malliavin calculus, an active and powerful area of research. It covers recent applications, including density formulas, regularity of probability laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and non-central limit theorems for the local time of Brownian motion. The book also includes a self-contained presentation of Brownian motion and stochastic calculus, as well as Levy processes and stochastic calculus for jump processes. Accessible to non-experts, the book can be used by graduate students and researchers to develop their mastery of the core techniques necessary for further study.
Written by highly experienced author Stephen Doyle, the Practice Tests book is designed to be used alongside the WJEC Mathematics for AS Level Pure and Applied textbooks. // Uses carefully graded questions to build confidence in the topics, with full answers and explanations for each question. // Provides essential facts and formulae at the start of each topic. // Follows the topic order in the textbooks and allows students to practise knowledge and skills as they work through the course. // Space is left for students to write in their answers, which enables them to familiarise themselves with the format of the exam papers. //Ideal for classwork and homework, and supplements the `test yourself' questions included in the textbook. // Provides advice and further support on the new unstructured questions and also includes specimen test papers.
This Student Book has been approved by AQA and provides full support for both AQA's new linear AS Level specification, and for the first year of the full A Level course. Covering all the pure maths, mechanics and statistics content needed, the book provides dedicated exercises in every chapter for exam-style problem-solving and modelling questions. Dedicated revision exercises test synoptically across the curriculum. Throughout the book, the explanatory text is clear and concise, with abundant worked examples to show how key techniques can be used and common pitfalls to avoid. Short answers are in the back of the book, while full step-by-step solutions are provided online. MyMaths links appear at the bottom of all exercises, providing a quick route to further practice and support.
A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the core content of the IB Diploma Mathematics Higher Level course and breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Standard Level and Mathematical Studies are also available.
STATISTICS, 4e, International Edition helps you develop a conceptual understanding of statistical ideas and shows you how to find meaning in data. The authors-who are committed to changing any preconception you may have about statistics being boring-engage your curiosity with intriguing questions, and explain statistical topics in the context of interesting, useful examples and case studies. You'll develop your statistical intuition by focusing on analyzing data and interpreting results, rather than on mathematical formulation. As a result, you'll build both your statistical literacy and your understanding of statistical methodology.
Este texto lider en el mercado ofrece una amplia introduccion a la probabilidad y la estadistica para estudiantes de ingenieria en todas las especialidades. Demostrado, preciso y alabado por sus excelentes ejemplos, probabilidad y estadistica para ingenieria y ciencias evidencia la reputacion de Jay Devore como un autor destacado y lider en la comunidad academica.Devore hace hincapie en los conceptos, modelos, metodologia y aplicaciones en comparacion con el desarrollo matematico riguroso y derivaciones. Ayudado por sus ejemplos vivos y realistas, los estudiantes van mas alla de simplemente aprender acerca de las estadisticas, aprendiendo tambien como poner los metodos estadisticos en uso.
Mental Arithmetic provides rich and varied practice to develop pupils' essential maths skills and prepare them for all aspects of the Key Stage 2 national tests. It may also be used as preparation for the 11+, and with older students for consolidation and recovery. Tailored to meet the requirements of the National Curriculum for primary mathematics, each book contains 36 one-page tests. Each test is presented in a unique three-part format comprising: questions where use of language is kept to a minimum; questions using number vocabulary; questions focusing on one- and two-step word problems. Structured according to ability rather than age, the series allows children to work at their own pace, building confidence and fluency. Two Entry Tests are available in the Mental Arithmetic Teacher's Guide and on the Schofield & Sims website, enabling teachers, parents and tutors to select the appropriate book for each child. All the books can be used flexibly for individual, paired, group or whole-class maths practice, as well as for homework and one-to-one intervention.Mental Arithmetic 3 Answers contains answers to all the questions included in the Mental Arithmetic 3 pupil book, as well as guidance on how to use the series and measure progress. Answers are clearly laid out in the format of a correctly completed pupil book making marking quick and easy, while a card cover ensures durability.
This valuable study guide provides a modern introduction to linear algebra for people studying or practicing in any of the varied fields of mathematics, physics, biology, chemistry, economics, statistics and engineering. The hundreds of problems solved step-by-step illustrate and reinforce key points. And 390 additional problems help students review the information in each chapter and consolidate their knowledge.
Categorical Statistics for CommunicationResearch presents scholars with a discipline-specific guide to categorical data analysis. The text blends necessary background information and formulas for statistical procedures with data analyses illustrating techniques such as log- linear modeling and logistic regression analysis. * Provides techniques for analyzing categorical data from a communication studies perspective * Provides an accessible presentation of techniques for analyzing categorical data for communication scholars and other social scientists working at the advanced undergraduate and graduate teaching levels * Illustrated with examples from different types of communication research such as health, political and sports communication and entertainment * Includes exercises at the end of each chapter and a companion website containing exercise answers and chapter-by-chapter PowerPoint slides
Exam Board: Pearson Edexcel Academic Level: AS level Subject: Mathematics First teaching: September 2017 First Exams: Summer 2018 Each book contains complete sets of practice papers with full worked solutions and hints and notes on the marks allocated directly alongside the relevant steps of the solution, so your students can make most sense of them and build their confidence. Designed to survive the rigours of the classroom and home, all the papers are bound into a durable book. Accessible write-in format allows students to take an active role in their revision.
What makes the Platinum Mathematics course unique? Activities are stimulating and link to real life; separate mental maths section (grade 7 teacher's guide) and answer section (grade 8 & 9 learner's book); challenge and Did you know features will stimulate learner engagement; the text is suitable for South African learners in diverse school contexts; use of colour enhances the easy understanding of the text. Platinum - simply superior: Superior CAPS coverage and written by expert authors; superior illustrations and activities to improve results and motivate learners; superior teacher support to save time and make teaching easy, including photocopiable worksheets; superior quality = exam success!
Used by hundreds of thousands of students, INTRODUCTION TO PROBABILITY AND STATISTICS, 14E, International Edition blends proven coverage with new innovations to ensure you gain a solid understanding of statistical concepts--and see their relevance to your everyday life. The new edition retains the text's straightforward presentation and traditional outline for descriptive and inferential statistics while incorporating modern technology--including computational software and interactive visual tools--to help you master statistical reasoning and skillfully interpret statistical results. Drawing from decades of classroom teaching experience, the authors clearly illustrate how to apply statistical procedures as they explain how to describe real sets of data, what statistical tests mean in terms of practical application, how to evaluate the validity of the assumptions behind statistical tests, and what to do when statistical assumptions have been violated. Statistics can be an intimidating course, but with this text you will be well prepared. With its thorough explanations, insightful examples, practical exercises, and innovative technology features, this text equips you with a firm foundation in statistical concepts, as well as the tools to apply them to the world around you.
The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently. The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves. The second article uses, and expands on, much of this basic theory to show how the interaction of cytosolic calcium oscillators with membrane ion channels can result in highly complex patterns of electrical spiking. Through these examples one can see clearly how multiple oscillatory processes interact within a cell, and how mathematical methods can be used to understand such interactions better. The two reviews provide excellent examples of how mathematics and physiology can learn from each other, and work jointly towards a better understanding of complex cellular processes. Review 1: Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger: Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells Review 2: Vivien Kirk, James Sneyd: Nonlinear Dynamics of Calcium
Mathematical modelling and simulation is an increasingly powerful area of mathematics and computer science, which in recent years has been fuelled by the unprecedented access to larger than ever stores of data. These techniques have an increasing number of applications in the professional and political spheres, and people try to predict the results of certain courses of action as accurately as possible. Computing Possible Futures explores the use of models on everyday phenomena such as waiting in lines and driving a car, before expanding the model's complexity to look at how large-scale computational models can help imagine big scale <"what-if>" scenarios like the effect self-driving cars on the US economy. The successes and failures of complex real world problems are examined, and it is shown how few, if any, failures are due to model errors or computational difficulties. It is also shown how real life decision makers have addressed important problems and used their model-based understanding of possible futures to inform these decisions. Written in an entertaining and accessible way, Computing Possible Futures will help those concerned about the futurity of their decisions to understand what fundamentally needs to be done, why it needs to be done, and how to do it.
Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable-even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is-simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Inside this mega-jam-packed book are fifty fact-tastic ways to advance your maths skills so you'll never be outnumbered by numbers again! From core curriculum techniques such as multiplying multiples to calculating calculus and probability and division, right through to working out tricky statistics, formulas and equations on outside of the classroom, Cool Maths will help you work your way out of every day situations in a way that you'll never forget. Other titles in this series: Cool Science, Cool Astronomy, Cool Art
WINNER OF BUSINESS BOOK OF THE YEAR 2018 (The Business Book Awards) "Essential reading for CEOs and leaders of change." - Martin Davis, CEO, Kames Capital 88% of change initiatives fail. The Change Catalyst provides you with the insight, tools and know-how you need to make sure your next change, strategy or M&A is the one in eight that succeeds. Whether you're trying to change a process, a culture, a behaviour or an entire business, success demands complete clarity of what you are trying to achieve and why, followed by a clear plan to align your people to deliver. All change is about people, and one of the most important ingredients for successful change is the identification and appointment of a Change Catalyst. This is the person who can guide your organisation - its people and its processes - to the ultimate delivery of the outcomes your business needs. The book takes you deep inside the culture and process of change to show you how to set yourself up for success in both the short and long term; identify your goal, clarify your vision, stay focused on the outcome and develop and deliver a do-able plan. It will also explain how to genuinely engage stakeholders at all levels in every stage of the process. Real-world case studies show you what a successful change initiative looks like on the ground, and the Change Toolbox offers a collection of proven tools and models to streamline planning and implementation. Clear, intelligent guidance cuts through the buzzwords to get down to business quickly, and a pragmatic, holistic approach helps you tackle strategy, culture, execution and more. People don't like change; it rattles their cages and makes them uncomfortable - and emotion trumps logic every time. This book shows you how to pinpoint the emotional triggers, coax logic out of hiding and get everyone on board as you drive real, lasting change. Learn why typical change initiatives are far more likely to fail than succeed. Identify your Change Catalyst to strengthen both process and outcome. Overcome cultural challenges and turn understanding into transformation. Develop and implement a solid strategy for successful change. Whether you want change at the team level or on a government scale, no initiative is immune from the perils of inertia, misguided focus, distracted leadership or muddled planning. Change is inevitable. Successful change isn't. The Change Catalyst will tilt the odds on your favour and enable your next change initiative to be among the 12% that succeeds.
This book is the leading title in a series targeted at the average A Level mathematics student which aims to tackle the basic ideas & misconceptions associated with this subject. The inclusion of stretch & challenge material caters for the most able students, & lots of regular exercises & exam questions provide plenty of practice.
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