In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    Dozens of examples in innumeracy show us how it affects not only personal economics and travel plans, but explains mis-chosen mates, inappropriate drug-testing, and the allure of pseudo-science.

    Molinsky and Bill Bliss, is a dynamic, all-skills program that integrates conversation practice, reading, writing, and listening -- all in a light-hearted, fun, and easy-to-use format that has been embraced by students and teachers worldwide. This four-level program promotes native communication between students ... practicing speaking together "side by side." Features of the Third Edition Vocabulary Preview sections in every chapter introduce key words in a lively picture dictionary format. "How to Say It " lessons highlight communication strategies. Pronunciation exercises provide models for practicing authentic pronunciation, stress, and intonation. "Side by Side Gazette" "magazine-style" pages offer feature articles, fact files, vocabulary expansion, cross-cultural topics through photos, authentic listening activities, e-mail exchanges, and humorous cartoons for role-playing. All-new illustrations are lively, light-hearted, and richly detailed to offer students language practice that is contextualized and fun. The core components include Student Books, Teacher's Guides, Activity Workbooks, Activity & Test Prep Workbooks, Communication Games and Activity Masters, audio programs, combined split editions (Student Book and Workbook lessons combined), a testing program, and picture cards.

     Blended learning allows a partnership that gives teachers more time and energy to innovate and personalize learning while providing students the opportunity to be active agents driving their own growth. Balance With Blended Learning provides teachers with strategies to actively engage students in setting goals, monitoring development, reflecting on growth, using feedback, assessing work quality, and communicating their progress with parents. It includes Practical strategies for teachers who are overwhelmed by their workloads Vignettes written by teachers across disciplines Ready-to-use templates to help students track their progress Stories from the author's experience as a teacher and blended learning coach

    How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty

    This unique budgetary survival guide will enhance your instructional, technical, and managerial skills not only as the school′s leader but also as the school′s visionary, planning coordinator, and budgeting manager.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    His quick mastery of quantum mechanics earned him a place at Los Alamos working on the Manhattan Project under J. Robert Oppenheimer, where the giddy young man held his own among the nation’s greatest minds. There, Feynman turned theory into practice, culminating in the Trinity test, on July 16, 1945, when the Atomic Age was born. He was only twenty-seven. And he was just getting started. In this sweeping biography, James Gleick captures the forceful personality of a great man, integrating Feynman’s work and life in a way that is accessible to laymen and fascinating for the scientists who follow in his footsteps.

    Led by a SQL Server expert, you’ll learn the concepts behind T-SQL querying and programming, and then apply your knowledge with exercises in each chapter. Once you understand the logic behind T-SQL, you’ll quickly learn how to write effective code—whether you’re a programmer or database administrator.Discover how to:Work with programming practices unique to T-SQLCreate database tables and define data integrityQuery multiple tables using joins and subqueriesSimplify code and improve maintainability with table expressionsImplement insert, update, delete, and merge data modification strategiesTackle advanced techniques such as window functions, pivoting and grouping setsControl data consistency using isolation levels, and mitigate deadlocks and blockingTake T-SQL to the next level with programmable objects

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    It introduces the use of classes; shows how to write ADTs that maximize the perfomance of C++ in creating reusable code; and provides coverage of all important OO functions, including inheritance, polymorphism and encapsulation.

    then, by golly, stick a tiara on your head and go teach something!" Do you wish that you had the chance to sit down with a seasoned homeschooling veteran over a cup of tea and ask every question that comes to mind? Mother of seven and twelve year homeschooling veteran Rebecca Frech is the common-sense voice of experience and reassurance that you've been hoping to find. Teaching in Your Tiara is a soup-to-nuts homeschooling book that walks you through the first years - deciding that home education is right for your family, choosing the right curriculum, understanding learning styles, not raising socially awkward kids, maintaining your own identity, and more. Whether you're the parent who's already committed to homeschooling or you're just dipping your toe into the pool of consideration, this book is for you! Rebecca's logic, honesty, and humor will leave you both amused and well-informed about the realities of homeschooling and what it could mean for your family.

    Teaching Music with Passion is a one-of-a-kind, collective masterpiece of thoughts, ideas and suggestions about the noble profession of music education. Both inspirational and instructional, it will surely change the way you teach (and think) about music. Filled with personal experiences, anecdotes and wonderful quotations, this book is an easy-to-read, essential treasure! "One of the most 'real' writings I have read during my 35 years in music education." Mel Clayton, President, MENC: The National Association for Music Education Click here for a YouTube video on Teaching Music with Passion

    The author explains what a classroom number talk is; how to follow students’ thinking and pose the right questions to build understanding; how to prepare for and design purposeful number talks; and how to develop grade-level specific thinking strategies for the operations of addition, subtraction, multiplication, and division. Number Talks includes connections to NCTM’s Principles and Standards for School Mathematics as well as reference tables to help you quickly and easily locate strategies, number talks, and video clips. Includes a Facilitator’s Guide and DVD.