Infinite Powers

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

A comprehensive tour of leading mathematical ideas by an award-winning professor and columnist for the New York Times Opinionator series demonstrates how math intersects with philosophy, science and other aspects of everyday life. By the author of The Calculus of Friendship. 50,000 first printing.

The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Includes At Your Command, Freedom For All and Out of This World Neville Goddard was one of the quietly dramatic and supremely influential teachers in the "new thought" field for many years. He spoke of God in intimate terms as though he knew God very well, which he did. He taught that instead of searching on the outside for answers to our questions, all we need to do is look within. Many people have the ability to observe an event before it occurs. Therefore, in the three dimensions of space, life on Earth must proceed according to plan. This plan must exist elsewhere in another dimension and be slowly moving through our space. In the immensely practical work, At Your Command, you’ll receive a complete understanding of Neville's method for using the true nature of your imaginative powers of creativity as he succinctly lays out his ideas with ease, and total practicality. Neville discloses his extraordinary and testable claim that your awakened imagination is God Itself. Drawn from Neville's own mystical illumination, Freedom for All reveals the truth buried within the stories of the Bible. Briefly, the book states that consciousness is the one and only reality...that consciousness is the cause and manifestation is the effect. In Out of This World, Neville Goddard poses the question: "Are we able to alter our future?" Today, probably more than ever before, man demands proof of the truth of even his highest ideal. For his ultimate satisfaction he must find a principle, which is for him a way of life, a principle which he can experience as true. In the past decade the visionary work of Neville Goddard (1905-1972) has attained spectacular popularity. A new generation of readers is discovering and testing Neville's core principle: imagining creates reality.

Lauren Shippen's The Infinite Noise is a stunning, original debut novel based on her wildly popular and award-winning podcast The Bright Sessions. Caleb Michaels is a sixteen-year-old champion running back. Other than that his life is pretty normal. But when Caleb starts experiencing mood swings that are out of the ordinary for even a teenager, his life moves beyond “typical.” Caleb is an Atypical, an individual with enhanced abilities. Which sounds pretty cool except Caleb's ability is extreme empathy—he feels the emotions of everyone around him. Being an empath in high school would be hard enough, but Caleb's life becomes even more complicated when he keeps getting pulled into the emotional orbit of one of his classmates, Adam. Adam's feelings are big and all-consuming, but they fit together with Caleb's feelings in a way that he can't quite understand. Caleb's therapist, Dr. Bright, encourages Caleb to explore this connection by befriending Adam. As he and Adam grow closer, Caleb learns more about his ability, himself, his therapist—who seems to know a lot more than she lets on—and just how dangerous being an Atypical can be. “What if the X-Men, instead of becoming superheroes, decided to spend some time in therapy?” (Vox on The Bright Sessions) At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters. For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.

A guide to the spiritual meaning and magic of the infinity symbol and how to activate its positive powers • Explains how the infinity symbol is the antidote to a negative, imbalanced world and how it can help reconnect the two halves of the brain and achieve balance and harmony in yourself, your relationships, and the wider world • Offers simple and practical exercises that harness the power of the infinity symbol for balance and harmony, including simple visualizations, physical exercises, and directed drawing of the symbol • Explores the many appearances of this universal symbol in history, mythology, different cultures, and the natural world Through the ages, the infinity symbol, a sideways figure eight, has represented eternal development and balance. Also known as the lemniscate, this powerful symbol stands for equilibrium, harmony, and the interconnectedness of all things. Although magical knowledge of symbols has often been kept secret throughout history, today the power of this symbol is available to all. In this accessible, hands-on guide, Barbara Heider-Rauter explores the spiritual world of the infinity symbol in a personal and practical way, allowing each of us to benefit from its positive influence for balance and harmony in ourselves, our relationships, and the wider world. She begins with a short exercise to attune readers to the energy field of the lemniscate. She explains how the infinity symbol offers the perfect response to a system that encourages separation and a world in which the negation of our feelings is often the source of illness and pain. She details simple exercises to reconnect the two halves of the brain, the analytical and the emotional, resulting in harmony and healing. She teaches how to use simple visualisation, physical exercises, and directed drawing of the symbol to achieve practical results in our daily lives. Beautifully illustrated in full color, the book also offers a wealth of information on the appearance of the infinity symbol through the ages in all its forms and contexts, from history and mythology to our own tiny body cells and the natural world. This book urges the reader to establish wholeness, to balance the scales of duality and find harmony. With the power of the lemniscate at hand, decisions will be made with greater ease and relationships filled with harmony and a lighter heart.

Mathematics made mouth-watering. Things to Make and Do in the Fourth Dimension is an alternative math class. How can math help you choose a second-hand car? Why is a text message like a Sudoku? How much fun can you have with a barcode? Matt Parker explains that math is difficult because it's one of the few subjects that requires us to train our brains to think in an entirely new way, and to confront things with no direct analogy in everyday life--imaginary numbers, snowflakes that only exist in 196884 dimensions, and objects beyond infinity--and shows us why it's worth the effort. Starting with basic arithmetic and geometry, Things To Make and Do teaches us the math we never got to enjoy at school. Each chapter is structured around activities and thought experiments: we are invited to make a calculator out of dominoes, find out why wrapping oranges in plastic wrap is a good way to learn about higher dimensions, and discover what soap bubbles have to teach us about calculus. A series of incremental and hugely entertaining steps take us all the way from simple algebra to the most exotic and fascinating ideas in mathematics: Klein bottles, higher dimensional topology and the many different species of infinity, via unimaginably small pizza slices, Mobius strips and a thorough examination of The Sausage Conjecture. This lively, funny, and deeply intelligent book teaches math in a fun, interactive manner rather than by rote learning and exercises. You'll not look at the number 37 the same way again. And you just might take part in Mobius strip craftwork.