From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.

    This updated edition features new material.

    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 gear you select and how you use it can mean big results—or bigger disappointment.FASTER takes a scientific look at triathlon to see what truly makes you faster—and busts the myths and doublespeak that waste your money and race times. In this fascinating exploration of the forces at play in the swim-bike-run sport, astronautical engineer and triathlete Jim Gourley shows where to find free speed, speed on a budget, and the gear upgrades that are worth it.FASTER offers specific, science-based guidance on the fastest techniques and the most effective gear, answering questions like: •    Which wetsuit is best for me? •    What’s the best way to draft a swimmer? •    Should I buy a lighter bike? •    Deep dish or disc wheels? •    Are lighter shoes faster? •    Who’s right about running technique? Gourley reviews published studies in peer-reviewed journals to show what scientists have learned about swim drafting, pacing the bike leg, race strategy for short and long-course racing, and the fastest ways to handle transitions.FASTER will change how you think about your body, your gear, and the world around you. With science on your side, you'll make the smart calls that will make you a better, faster triathlete.

    Sherry Rupke of SwissRidge Kennels was the first breeder to deliberately cross Bernese Mountain Dogs and Poodles. Rupke loved everything about the Bernese, except for the short-lived breed’s genetic propensity for cancer. Plus it sheds. And it can be a little stubborn. Rupke decided to add Poodle to the hybrid equation to create an intelligent, lively, healthy and low- to non-shedding dog. Over the past decade, she’s built her Bernedoodle program with care to ensure that each scrupulously health-checked breeding dog has an impeccable pedigree, a calm temperament, and great conformation. Bernedoodles: A Head to Tail Guide takes readers on a journey from Rupke’s early days of breeding purebred dogs to establishing her highly successful hybrid program. This comprehensive, easy-to-read and entertaining book also covers everything you need to know about finding the right breeder and puppy, to caring for your Bernedoodle. You’ll discover the best training techniques for Bernedoodles (and any dog) from Rupke’s partner, Lucas Mucha. Anecdotes from owners of SwissRidge Bernedoodles, along with stunning photos, are likely to convince you that this fun, fun, affectionate, and allergy-friendly hybrid is the perfect companion dog.

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    HELP, I'M FALLING APART!!This quick read is informative and entertaining, with personal stories and documented research.

    Author Manuel Velasquez combines clear prose and primary source readings to take you on a meaningful exploration of a range of philosophical topics, such as human nature, feminist theory, diversity, and aesthetics. Plus, the text's carefully crafted built-in learning aids will help you succeed in your course.

    In Code Breaking , Rudolf Kippenhahn offers readers both an exciting chronicle of cryptography and a lively exploration of the cryptographer’s craft. Rich with vivid anecdotes from a history of coding and decoding and featuring three new chapters, this revised and expanded edition makes the often abstruse art of deciphering coded messages accessible to the general reader and reveals the relevance of codes to our everyday high-tech society. A stylishly written, meticulously researched adventure, Code Breaking explores the ways in which communication can be obscured and, like magic, made clear again.

    Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of Calculus: Early Transcendental Functions, 4/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.

    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.

    The Fourth Edition of volumes 1 and 2 is concerned with mechanics and E&M/Optics. New features include: expanded coverage of classic physics topics, substantial increases in the number of in-text examples which reinforce text exposition, the latest pedagogical and technical advances in the field, numerical analysis, computer-generated graphics, computer projects and much more.

    This new edition specifically features three new care plans, two expanded care plans, updated content and language reflecting the most current clinical practice and professional standards, enhanced QSEN integration, a new emphasis on interprofessional collaborative practice, an improved page design, and more. It's everything you need to create and customize effective nursing care plans!

    Completely redesigned and updated for the first time in 10 years, the new edition features over 1,700 beautiful color photographs and over 7,000 featured plants. Enhanced features include a monthly garden checklist, a Q&A section to tackle everyday problems, and garden design solutions, plus industry experts provide the hottest trends and tips combined with old-fashioned wisdom. From the new homeowner just starting out in gardening to the Master Class gardener, this book will be an essential resource.

    But what should we change and how do we do it? Annabel Streets and Susan Saunders spent their 30s climbing the career ladder, having children and caring for elderly parents - all at the same time. By their 40s, they were exhausted, stressed, sleeping too little and rushing too much. They began to ask whether the prolonged ill health and dementia suffered by their parents was their inevitable future too - could they do anything to avoid requiring their own children to care for them in old age? Thus began THE AGE-WELL PROJECT. With incredible tenacity, Annabel and Susan read 50,000 scientific research papers on all aspects of ageing to find what advice cutting-edge research can offer us on how to ensure the longer lives we're living are healthy and happy. Putting their findings into practice, they found that the lifestyle changes they made were having incredible benefits on their health and wellbeing now - as well as for the future. Told with empathy and humour, in THE AGE-WELL PROJECT Annabel and Susan share the 50 key lessons they learned, the meals they cooked and the experts' tips they uncovered to make the second half of your life the best half of your life - happy, healthy and disease-free. Author BiographyAnnabel was a founder member of an award-winning marketing company, advising the chief executives of companies such as Sony, Reuters and the Financial Times. After four children, and at breaking point, she sold her company. Following a stint studying photography and producing a community cook book, she changed tack and wrote an award-winning novel The Joyce Girl which sold in 14 countries and was selected for the 2017 Berlin Film Festival. Since then she has written regularly for a range of titles including the Daily Telegraph, Psychologies, The Author, the Guardian, The Irish Times, Elle, Australian