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Inspire Maths: Getting Started Guide 4
by Fong Ho Kheong Rebecca Holland Julie Mitchell Bernie WestacottInspire Maths: Getting Started Guide 4
Inspire Maths: Getting Started Guide 5
by Fong Ho Kheong Rebecca Holland Julie Mitchell Bernie WestacottInspire Maths: Getting Started Guide 5
Inspire Maths: Getting Started Guide 6
by Fong Ho Kheong Rebecca Holland Julie Mitchell Bernie WestacottInspire Maths: Getting Started Guide 6
Introduction to Mathematical Modeling and Computer Simulations
by Vladimir Mityushev Wojciech Nawalaniec Natalia RylkoIntroduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.
New Maths Frameworking - FUNCTIONAL SKILLS PUPIL BOOK [2nd edition] (PDF)
by Trevor Senior Chris Pearce Keith Gordon• Develop your pupil's problem-solving skills with engaging activities • Encourage discussion and collaboration between your students using mathematical language • Engage students with open questions that can be approached in different ways and can challenge all students at any level • Make mathematics relevant and useful with real-life scenarios students will relate to • Cover the Functional and Process Skills that are integral to the KS3 Framework and the new GCSE with rich tasks that give an opportunity to focus on these
International A Level Further Mathematics for Oxford International AQA Examinations: With Statistics
by John Rayneau Mark Gaulter Brian Gaulter Brian JeffersonThe only textbook that fully supports the pure and statistics parts of the Oxford AQA International AS & A Level Further Mathematics specification (9665), for first teaching in September 2017. Written by experienced authors, the rigorous, international approach prepares students for exam success and the step up to university study.
Concise Optics: Concepts, Examples, and Problems (Textbook Series in Physical Sciences)
by Ajawad I. Haija M. Z. Numan W. Larry FreemanThis introductory text is a reader friendly treatment of geometrical and physical optics emphasizing problems and solved examples with detailed analysis and helpful commentary. The authors are seasoned educators with decades of experience teaching optics. Their approach is to gradually present mathematics explaining the physical concepts. It covers ray tracing to the wave nature of light, and introduces Maxwell’s equations in an organic fashion. The text then moves on to explains how to analyze simple optical systems such as spectacles for improving vision, microscopes, and telescopes, while also being exposed to contemporary research topics. Ajawad I. Haija is a professor of physics at Indiana University of Pennsylvania. M. Z. Numan is professor and chair of the department of physics at Indiana University of Pennsylvania. W. Larry Freeman is Emeritus Professor of Physics at Indiana University of Pennsylvania.
Econometrics: Theory And Applications With Eviews (PDF)
by Ben VogelvangEconomists are regularly confronted with results of quantitative economics research. Econometrics: Theory and Applications with EViews provides a broad introduction to quantitative economic methods, for example how models arise, their underlying assumptions and how estimates of parameters or other economic quantities are computed.
Discovering Mathematics: Workbook 1b
by Victor ChowThis write-in Workbook is for Year 7 Middle tier students. It supports Student Book 1B in the Discovering Mathematics series, with exercises split into the corresponding chapter sections. The series is adapted from the leading Singapore course to fully match the English Key Stage 3 National Curriculum. The Discovering Mathematics workbooks follow authentic mastery principles. Exercises incorporate 'intelligent practice', with careful variation of numbers to reinforce and deepen learning. Questions are differentiated into three levels: Level 1 for basic fluency practice, Level 2 for greater challenge, and Level 3 for anlaytical thinking, with additional integrated questions testing the student's ability to apply their learning. Problem-solving questions are identified throughout, and questionsrelated to science and finance are clearly flagged to encourage students' connections of mathematical ideas across other subjects. This Workbook is designed to enable students to track their progress through a self-assessment checklist at the front. Short answers on the free accompanying website allow students to quickly identify and correct misconceptions. Fully-worked solutions containing GCSE grades are available to teachers on the accompanying Kerboodle digital resource to facilitate support with detailed workings.
Primary Mathematics: Teaching Theory And Practice (Achieving Qts Ser.)
by Claire Mooney Mary Briggs Alice Hansen Ms Judith McCullouch Mike FletcherAn extensive knowledge of the primary Mathematics curriculum is not enough for trainee teachers, they need to know how to teach Maths in the primary classroom. This is the essential teaching theory and practice text for primary Mathematics that takes a focused look at the practical aspects of teaching. It covers the important skills of classroom management, planning, monitoring and assessment and relates these specifically to primary Maths, with new material on assessment without levels. And to support students even further with the very latest strategies in classroom practice, this 8th edition now includes online resources: Practical lesson ideas for the classroom The Primary National Curriculum for Mathematics in Key Stages one and two Tips for planning primary Mathematics Useful weblinks for primary Mathematics teaching
Primary Mathematics: Knowledge And Understanding (Achieving Qts Ser.)
by Claire Mooney Alice Hansen Lindsey Davidson Sue Fox Reg WrathmellSecure subject knowledge and understanding is the foundation of confident, creative and effective teaching. To help your students master this, the 8th edition of this established text now comes with a range of online resources: Interactive Maths subject knowledge audit: to assess your students' overall performance and ensure they have an accurate picture of their ability. Reflective self-assessment questions: to help consolidate students’ understanding of each chapter topic and monitor their learning as they work through the book. Glossary: building students' knowledge of tricky terminology. Covering the whole primary curriculum, this edition also includes updated interactive activities throughout the book to engage students in their learning and enable discussion. Using this book in conjunction with the free online resources really makes this the complete package for developing Mathematics subject knowledge.
KS2 Maths SAT Buster 10-Minute Tests: Maths - Book 2 (for tests in 2018 and beyond) (PDF)
by Cgp Books"This is Book 2 of CGP’s SAT Buster 10-Minute Tests for KS2 Maths - it’s a brilliant way to introduce SATS preparation in bite-sized chunks. Each set of quick tests is packed with questions in the style of the real SATS, covering a wide range of KS2 Maths topics. Answers are included, along with a handy chart to record children's progress. For more 10-Minute Maths Tests at the same level, Book 1 is also available (9781782942405). "
The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures (Annals of Mathematics Studies)
by Gui-Qiang G Chen Mikhail FeldmanThis book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws—PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs—mixed type, free boundaries, and corner singularities—that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.
Data Analysis for the Social Sciences: Integrating Theory and Practice
by Professor Douglas Bors'This book fosters in-depth understanding of the logic underpinning the most common statistical tests within the behavioural sciences. By emphasising the shared ground between these tests, the author provides crucial scaffolding for students as they embark upon their research journey.' —Ruth Horry, Psychology, Swansea University 'This unique text presents the conceptual underpinnings of statistics as well as the computation and application of statistics to real-life situations--a combination rarely covered in one book. A must-have for students learning statistical techniques and a go-to handbook for experienced researchers.' —Barbra Teater, Social Work, College of Staten Island, City University of New York Accessible, engaging, and informative, this book will help any social science student approach statistics with confidence. With a well-paced and well-judged integrated approach rather than a simple linear trajectory, this book progresses at a realistic speed that matches the pace at which statistics novices actually learn. Packed with global, interdisciplinary examples that ground statistical theory and concepts in real-world situations, it shows students not only how to apply newfound knowledge using IBM SPSS Statistics, but also why they would want to. Spanning statistics basics like variables, constants, and sampling through to t-tests, multiple regression and factor analysis, it builds statistical literacy while also covering key research principles like research questions, error types and results reliability. It shows you how to: Describe data with graphs, tables, and numbers Calculate probability and value distributions Test a priori and post hoc hypotheses Conduct Chi-squared tests and observational studies Structure ANOVA, ANCOVA, and factorial designs Supported by lots of visuals and a website with interactive demonstrations, author video, and practice datasets, this book is the student-focused companion to support students through their statistics journeys.
An Introduction to Real Analysis
by Ravi P. Agarwal Donal O'Regan Cristina FlautThis book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course.
Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas
by Dennis S. BernsteinThe essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.Fully updated and expanded with new material on scalar and vector mathematicsCovers the latest results in matrix theoryProvides a list of symbols and a summary of conventions for easy and precise useIncludes an extensive bibliography with back-referencing plus an author index
New KS2 Maths SATS Practice Papers: Pack 1 (for the tests in 2018 and beyond) (PDF)
by Cgp Books"This pack from CGP contains two full sets of realistic KS2 Maths SATS practice tests, all fully up-to-date to match the SATS in 2018 and beyond. Each set of tests includes three separate papers: one for Arithmetic and two for Reasoning. What’s more, complete answers, mark schemes and instructions are included, so it’s easy to find out how well children are progressing. This is Pack One: for even more practice, Pack Two (9781782948926), Pack Three (9781782948933), Pack Four (9781782948940) and Pack Five (9781782948957) are also available. "
The Mathematics Of Generalization
by David. H WolpertThis volume grew out of a workshop designed to bring together researchers from different fields and includes contributions from workers in Bayesian analysis, machine learning, neural nets, PAC and VC theory, classical sampling theory statistics and the statistical physics of learning. The contributions present a bird's-eye view of the subject.
The Art Of Probability
by Richard W. HammingOffering accessible and nuanced coverage, Richard W. Hamming discusses theories of probability with unique clarity and depth. Topics covered include the basic philosophical assumptions, the nature of stochastic methods, and Shannon entropy. One of the best introductions to the topic, The Art of Probability is filled with unique insights and tricks worth knowing.
Structural Stability And Morphogenesis
by Rene ThomFirst Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
Real Variables
by Alberto TorchinskyA modern introduction to the theory of real variables and its applications to all areas of analysis and partial differential equations. The book discusses the foundations of analysis, including the theory of integration, the Lebesque and abstract integrals, the Radon-Nikodym Theorem, the Theory of Banach and Hilbert spaces, and a glimpse of Fourier series. All material is presented in a clear and motivational fashion.
Numerical Analysis
by Donald GreenspanFirst Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
K-theory
by Michael AtiyahThese notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.
Graph Theory (on Demand Printing Of #02787)
by Frank HararyAn effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.
Complex Systems Dynamics
by Gerard WeisbuchFirst Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.