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.

    It's packed with everything you need to do your best on the test--and move toward your graduate or business school degree.Only ETS can show you exactly what to expect on the test, tell you precisely how the test is scored, and give you hundreds of authentic test questions for practice! That makes this guide your most reliable and accurate source for everything you need to know about the GRE revised General Test.No other guide to the GRE General Test gives you all this: - Four complete, real tests--two in the book and two on CD-ROM - Hundreds of authentic test questions--so you can study with the real thing - In-depth descriptions of the Verbal Reasoning and Quantitative Reasoning measures plus valuable tips for answering each question type- Quantitative Reasoning problem-solving steps and strategies to help you get your best score - Detailed overview of the two types of Analytical Writing essay tasks including scored sample responses and actual raters' comments Everything you need to know about the test, straight from the test makers!

    This exciting new book, from a leading expert in working with expectant dads, doesn’t sideline or speak down to men. Instead it provides an array of targeted information to fully prepare men for their new roles – as both birth partners and fathers.The Expectant Dad’s Handbook is a one-stop guide for men on their path to fatherhood. It provides practical answers to all the questions on the mind of a dad-to-be – from what to expect at each stage of pregnancy to how to cope with any worries and fears about becoming a dad. It also reveals unique insights into a dad’s role during labour, showing key strategies for improving the birth.Both practical and accessible, this guide will provide all the information and advice fathers need for the journey ahead.

    Former co-teacher and national presenter Anne Beninghof shares stories, and real-life co-taught lesson examples that emphasize creative yet time-efficient instructional strategies that lend themselves beautifully to the co-taught classroom. Teachers and instructional leaders at all levels and in a wide variety of content areas will find this book replete with valuable co-teaching guidance so that success is guaranteed.Offers tips for effective teaching strategies for every type of team teaching situation imaginable Includes guidelines for successful team-teaching with specialists in technology; literacy; occupational/physical therapy; special education; speech-language therapy; ELL; gifted The author is an internationally recognized consultant and trainer This user-friendly, comprehensive book is filled with concrete ideas teachers can implement immediately in the classroom to boost student learning and engagement.

    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

    Features exceptionally clear explanations and descriptions, step-by-step examples, more than 50 practical applications, over 2000 easy-to-challenging practice problems, and comprehensive coverage of essentials. PSpice, OrCAd version 9.2 Lite Edition, Multisims 2001 version of Electronics Workbench, and MathCad software references and examples are used throughout. Computer programs (C++, BASIC and PSpice) are printed in color, as they run, at the point in the book where they are discussed. Current and Voltage. Resistance. Ohm's Law, Power, and Energy. Series Circuits. Parallel Circuits. Series-Parallel Networks. Methods of Analysis & Selected Topics. Network Theorems. Capacitors. Magnetic Circuits. Inductors. Sinusodial Alternating Waveforms. The Basic Elements and Phasors. Series and Parallel ac Circuits. Series-Parallel ac Networks. Methods of Analysis and Related Topics. Network Theorems (ac). Power (ac). Resonance. Transformers. Polyphase Systems. Decibels, Filters, and Bode Points. Pulse Waveforms and the R-C Response. Nonsinusodial Circuits. System Analysis: An Introduction. For those working in electronic technology.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

    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

    In Intentional Talk: How to Structure and Lead Productive Mathematical Discussions , authors Elham Kazemi and Allison Hintz provide teachers with a framework for planning and facilitating purposeful math talks that move group discussions to the next level while achieving a mathematical goal.Through detailed vignettes from both primary and upper elementary classrooms, the authors provide a window into how teachers lead discussions and make important pedagogical decisions along the way. By creating equitable opportunities to share ideas, teachers can orient students to one another while enforcing that all students are sense makers and their ideas are valued. They examine students’ roles as both listeners and talkers, offering numerous strategies for improving student participation. Intentional Talk includes a collection of lesson planning templates in the appendix to help teachers apply the right structure to discussions in their own classrooms.

    Deciding on exactly the right strategy in any particular situation can be very difficult. Perhaps this is why very few authors have attempted to analyze this game even though it is widely played. In 1989, the first edition of this text appeared. Many ideas, which were only known to a small, select group of players, were now made available to anyone who was striving to become an expert, and a major gap in the poker literature was closed. It is now a new century, and the authors have again moved the state of the art forward by adding over 100 pages of new material, including an extensive section on "loose games." Anyone who studies this text, is well disciplined, and gets the proper experience should become a significant winner. Some of the other ideas discussed in this 21st century edition include the cards that are out, the number of players in the pot, ante stealing, playing big pairs, playing little and medium pairs, playing three-flushes, playing three-straights, randomizing your play, fourth street, pairing your door card on fourth street, proper play on fifth, sixth, and seventh streets, defending against a possible ante steal, playing against a paired door card, scare card strategy, and buying a free card.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    The PADI Open Water Diver course leads to two possible certifications: PADI SCUBA Diver and PADI Open Water Diver. This book covers basic diving certification topics and techniques including:Choosing, using, maintaining, and storing equipment.Basic training, from pool to open waterDiving physiology, including buoyancy, behavior of gases, the bends, and hypothermia.Dive planning, including decompression dives.Safety and first aid.

    xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

     Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started