I also hope that it will serve as a useful reference too for the many workers engaged in one type of solid state research activity or another, who may be without formal training in the subject.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    The nature of football continually changes, which means its analysis must also keep pace. This book is for students, thinkers, and theorists of the game.'Ted Hopkins - Carlton premiership player, author, and co-founder of Champion Data. Australian Rules football has been described as the most data-rich sport on Earth. Every time and everywhere an AFL side takes to the field, it is shadowed by an army of statisticians and number crunchers. The information they gather has become the sport's new language and currency. ABC journalist James Coventry, author of the acclaimed Time and Space, has joined forces with a group of razor-sharp analysts to decipher the data, and to use it to question some of football's long-held truisms. Do umpires really favour the home side? Has goal kicking accuracy deteriorated? Is Geelong the true master of the draft? Are blonds unfairly favoured in Brownlow medal voting? And are Victorians the most passionate fans? Through a blend of entertaining storytelling and expert analysis, this book will answer more questions about footy than you ever thought to ask. Praise for Time and Space:'Brilliant, masterful' - The Guardian'Arguably one of the most important books yet written on Australian Rules football.' - Inside History'Should find its way into the hands of every coach.' - AFL Record

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    Pose the same question to students and many will use words like "boring", "useless", and even "humiliating". In  Becoming the Math Teacher You Wish You'd Had , author Tracy Zager helps teachers close this gap by making math class more like mathematics. Tracy has spent years working with highly skilled math teachers in a diverse range of settings and grades. You'll find this book jam-packed with new ideas from these vibrant classrooms.  How to Teach Student-Centered Mathematics: Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learningBig Ideas, Practical Application: This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborateKey Topics for Elementary and Middle School Teachers:  Becoming the Math Teacher You Wish You'd Had  offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachersAll teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

    To top it he had speech difficulties and was vague and inattentive. Albert hated the kind of rote learning he was obliged to do in school, memorizing dates and texts. But as he grew older, it became clear that Albert was no ordinary person. 1905 is often termed his 'miracle year', the year he published not one but four entirely new papers, on four completely different topics.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

    History textbook is a college-level, introductory textbook that covers the exciting subject of U.S. History. Volume II covers 1865 through the present day. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Reconstruction: 1865-1877 -- The End of the War, The Aftermath of the War, The Battle over Reconstruction, Reconstruction in the South, The Reconstructed South, The Grant PresidencyThe Gilded Age: 1870-1900 -- The Gilded Age, The Second Industrial Revolution, The Rise of the City, The Rise of Big Business, The Rise of Immigration, Work in Industrial America, The Transformation of the West, Conquest in the West, The Transformation of the South, Politics in the Gilded Age, Urban Reform, Corruption and Reform, The Agrarian and Populist Movements, The Silver SolutionRace, Empire, and Culture in the Gilded Age: 1870-1900 -- Culture in the Gilded Age, Popular Culture, Cheap Amusements, Education, The Rise of Realism, Labor and Domestic Tensions, The Labor Wars, War, Empire, and an Emerging American World PowerThe Progressive Era: 1890-1917 -- The Progressive Era, Labor, Local, and Political Reform, The Politics of Progressivism, Grassroots Progressivism, Progressivism: Theory and Practice, Changing Ideas of Freedom, Roosevelt's Progressivism, Roosevelt's Second Term, From Roosevelt to Taft, Woodrow Wilson and Progressivism, The Limits of ProgressivismWorld War I: 1914-1919 -- The Wilson Administration, American Neutrality, America's Entry into the War, America and WWI, The War at Home, The "American", The Fight for Peace, Diplomacy & Negotiations at the War's End, The Transition to Peace: 1919-21From the New Era to the Great Depression: 1920-1933 -- The New Era, The Roaring Twenties, The Culture of Change, Resistance to Change, Wall Street Crash of 1929, The Great DepressionThe New Deal: 1933-1940 -- Franklin D. Roosevelt and the First New Deal, The New Deal, Critical Interpretations of the New Deal, The Social Cost of the Depression, Toward a Welfare State, Roosevelt's Second Term, Culture in the Thirties, The Second New Deal, The Legacy of the New DealFrom Isolation to World War II: 1930-1943 -- Non-Interventionism, The Beginning of the War, Conflict in Europe, Conflict in the Pacific, America's Early Involvement, Mobilization in the U.S., Social Effects of the War, The War in Germany, The War in the Pacific, The End of WWIIThe Cold War: 1947-1991 -- Origins of the Cold War, The Cold War, Truman and the Fair Deal, The Cold War and KoreaThe Politics and Culture of Abundance: 1943-1960 -- The Politics of Abundance, The Culture of Abundance, The Eisenhower Administration, The Policy of Containment, The Emergence of the Civil Rights MovementThe Sixties: 1960-1969 -- The Election of 1960, The Expansion of the Civil Rights Movement, Counterculture, The John F. Kennedy Administration, The Lyndon B. Johnson AdministrationThe Conservative Turn of America: 1968-1989 -- The Nixon Administration, Watergate, The Ford Administration, The Carter Administration, The Reagan AdministrationThe Challenges of Globalization and the Coming Century: After 1989 -- The George H.W. Bush Administration, America's Emerging Culture, The Clinton Administration, Globalization and the U.S.

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."