Prepared to live at your prime? Integrative neurologist Dr. Kulreet Chaudhary discovered a beautiful side effect to the eating and lifestyle tools she gave her brain patients--spontaneously shedding excess pounds. In this, her first book, she shows us how to sharpen the brain, and smarten and heal the gut. Weight gain is not about the food, but about the body’s environment. Excess weight is a result of the body being in a toxic, inflammatory state. If your body is not prepared or ‘primed’ for weight loss, you will fight an uphill biochemical battle. Her program is not about what you can't have or do, it's about adding simple teas and herbs, and succeeding without giving up any foods you love. With The Prime, Dr. Chaudhary has reverse engineered our way of eating, so we can stop dieting backward and start losing weight instead. You'll learn: --The importance of neuroadaptation, food addiction, and the brain (or, why your brain and gut have made it so hard to lose weight in the past!) --Why it’s not about what you eat, but what you digest --How to determine if you have a Leaky Brain—and what The Prime can do about it (hint: everything) --How to easily crush cravings (no willpower required), ignite energy and fat, and biohack your lifestyle habits. Lastly, you’ll learn how to live fully Primed, the secrets of the Super-Primed, and when you’re ready to explore new foods, how to eat according to your unique constitution.

“By drawing on 400 years of social and economic history . . . [the book] presents a thoughtful and thorough guide through the life stages.” (Library Journal) Adulthood today is undergoing profound transformations. Men and women wait until their thirties to marry, have children, and establish full-time careers, occupying a prolonged period in which they are no longer adolescents but still lack the traditional emblems of adult identity. People at midlife struggle to sustain relationships with friends and partners, to achieve fulfilling careers, to raise their children successfully, and to age gracefully. The Prime of Life puts today’s challenges into new perspective by exploring how past generations navigated the passage to maturity. Whereas adulthood once meant culturally-prescribed roles and relationships, the social and economic convulsions of the last sixty years have transformed it fundamentally, tearing up these shared scripts and leaving adults to fashion meaning and coherence in an increasingly individualistic culture. Emphasizing adulthood’s joys and fulfillments as well as its frustrations and regrets, Mintz shows how cultural and historical circumstances have consistently reshaped what it means to be a grown up in contemporary society. “A triumph of historical writing.” ―The Spectator “[Mintz’s] message―that there are many ways to wear the mantle of responsible adulthood and that the 1950s model is a mere blip on history’s radar―is deeply necessary and long overdue.” ―New York Times Book Review “Describing the cultural, economic, and social changes from the Colonial era to today’s world . . . Mintz argues that neither religious nor secular middle-class values are adequate responses to the new generation’s problems.” —Choice “A thoughtful and strangely encouraging tour of an often difficult life stage.” ―Kirkus Reviews

This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium series established to honour Professors A. J. Coleman and H. W. Ellis and to acknowledge their long-lasting interest in the quality of teaching undergraduate students. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book oj Records, reminded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will also include some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work. Paulo Ribenboim CONTENTS Preface vii Guiding the Reader xiii Index of Notations xv Introduction Chapter 1. How Many Prime Numbers Are There? 3 I. Euclid's Proof 3 II.

A landmark history of the men and women who have defined the UK's role in the modern world - and what makes them special - by a seasoned political journalist.

Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.

The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine