Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

    For the majority of Americans living a sedentary lifestyle (from the card-carrying couch potatoes to the 86% of American workers who sit all day at their job) comes a comprehensive guide to the most accessible form of yoga…Chair yoga! - Desk-bound? You can do chair yoga!- Have limited range of motion? You can do chair yoga!- Never done yoga before? You can do chair yoga!- Don’t own a pair of stretchy pants? You can do chair yoga!- Own plenty of athleisure or loungewear, but haven’t moved much in weeks/months/years? You can do chair yoga!Chair yoga is exactly what it sounds like: exercises you can do sitting down. In Chair Yoga, celebrity yoga instructor Kristin McGee takes you through 100 yoga poses and exercises that are easy enough for all levels and will help readers stay active, alert, and healthy. Divided into chapters organized by body part (say goodbye to back pain and hello to better posture), each exercise includes step-by-step instructions and easy-to-follow photos. Plus, bonus chapters on 5-, 10-, and 15-minute routines help readers put it all together and find the time to perform these exercises. Now with Chair Yoga, anyone can benefit from just a few moves a day—and garner the remarkable physical and mental health rewards. “Kristin’s classes strike a perfect balance of effort and letting go, seriousness and lightheartedness, movement and stillness. She is among the best teachers in the city and I consider myself lucky to be among her students.”—Ellie Krieger

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    As a registered nurse, Wendy Cohan has provided health information and treatments for patients with a number of bladder conditions. She begins with a description of the anatomy and function of the urological system and the assessment, diagnosis, and treatment of typical bladder problems. She lists frequently prescribed medications, explains how they work, and identifies their side effects. The bulk of the book picks up where medical treatment leaves off: the use of diet and herbs, regular exercise, stress and pain reduction techniques, and methods for better sleep are discussed. Cohan includes self-assessments, meal plans, herbal recipes, and a week-by-week recovery plan to create a complete holistic approach to bladder wellness. Information on specific diets, a review of the range of conditions that can cause pelvic pain, and a thorough guide to additional resources complete the book.

    With its buttery texture and subtle flavor, the avocado pairs well with meat and seafood, makes a great topping for burgers and salads, and adds a wonderful creaminess to dips, sauces, and even desserts. Absolutely Avocados presents delightfully delicious new ways to use avocados in breakfasts, lunches, salads, snacks, and plenty of the ways you haven't even imagined.But this is more than just a book of avocado recipes; it's also the first cookbook from renowned blogger Gaby Dalkin. Displaying her fresh and simple cooking style—a mix of California casual with a healthy dose of Southwestern flair—Gaby's recipes are ideal for anyone who loves avocados or just scrumptious meals.Features 75 to-die-for recipes like Crab and Avocado Quesadilla and Avocado and Tuna CevicheThe first book by popular food blogger and avocado expert Gaby DalkinIllustrated with gorgeous full-color photographs from acclaimed food photographer Matt ArmendarizIncludes an introductory section that describes common varieties of avocado and includes foolproof advice on cutting, storing, and picking ripe avocados at the marketIf you love avocados and fresh, delicious meals, this is the ideal cookbook for you. Absolutely Avocados serves up a wide range of recipes that get the most of out of this popular, but under-used food.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Readers find the Vanilla Bean blog while hunting for the perfect chocolate cake or cinnamon roll recipe, or another everyday favorite. They stay for founder Sarah Kieffer's simple approach to home baking, the utterly transporting, dreamlike quality of her photography, and her evocative storytelling. Most of all, the Vanilla Bean blog celebrates the soulfulness of baking.Kieffer mastered the art of home baking while working in tiny kitchens in the back of coffeehouses and bakeries in Minnesota. She began the Vanilla Bean blog to create a culinary heritage for her family, but soon became passionate about making the joys of baking accessible for all. With recipes that help simplify the process behind complicated techniques, Vanilla Bean has built a dedicated following of several hundred thousand loyal readers and won several awards, including the Reader's Choice Award for best baking blog from Saveur.The Vanilla Bean Baking Book is Kieffer's debut cookbook, with 100 delicious tried-and-true recipes for the home baker. From everyday favorites such as Lemon Bread and Peanut Butter Cookies to inventive twists on classics such as Burnt Honey Buttercream Cake with Chocolate, Coffee Blondies, and Apple-Blackberry Turnovers, these irresistible treats will delight and inspire.

    Dr. Spring, a gifted therapist and the award-winning author of After the Affair, proposes a radical, life-affirming alternative that lets us overcome the corrosive effects of hate and get on with our lives—without forgiving. She also offers a powerful and unconventional model for genuine forgiveness—one that asks as much of the offender as it does of us.This bold and healing book offers step-by-step, concrete instructions that help us make peace with others and with ourselves, while answering such crucial questions as these:How do I forgive someone who is unremorseful or dead?When is forgiveness cheap?What is wrong with refusing to forgive?How can the offender earn forgiveness?How do we forgive ourselves for hurting another human being?

    From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians' eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you'll find fascinating answers to questions like:How are the waiting times for buses determined?Why is Romanesco Broccoli so mesmerizing?How do you divide a cake evenly?Should you run or walk to avoid rain showers?Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life.

    Which are worth the price? Which are meaningless? Bruce Aidells, America’s foremost meat expert and the founder of Aidells Sausage Company, makes sense of the confusion and helps you choose the best steaks, chops, roasts, and ribs and match them to the right preparation method.The definitive book for our time, The Great Meat Cookbook includes• hundreds of extraordinary recipes, from such “Great Meat Dishes of the World” as Whole Beef Fillet Stuffed with Prosciutto and Parmigiano-Reggiano to economical dishes that use small amounts of meat, like Thai Pork Salad, to American classics like Steak House Grilled Rib Eye• handy recipe tags like “Fit for Company,” “In a Hurry,” and “Great Leftovers” that help you match each dish to the occasion• at-a-glance guides to all the major cuts, with a full-color photo of each• recipes for handcrafted sausages, pâtés, confits, and hams• recipes for newly popular meats like bison, goat, heirloom pork, and grass-fed beef, veal, and lamb• recipes for underappreciated parts that make delicious dishes without breaking the bankWith straight talk and an affable voice, Aidells provides every single bit of information you need to get comfortable in the kitchen, from which thermometers are the most reliable, to instructions for thawing frozen meat from the farmers’ market, to tips that will make you a grill and barbecue pro.

    

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    This is a book Indian food lovers—and health-conscious eaters and vegetarians, too—can turn to for everyday meals and special occasions for years to come!

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.