Nir Barzilai’s life’s work is tackling the challenges of aging to delay and prevent the onset of all age-related diseases including “the big four”: diabetes, cancer, heart disease, and Alzheimer’s.One of Dr. Barzilai’s most fascinating studies features volunteers that include 750 SuperAgers—individuals who maintain active lives well into their nineties and even beyond—and, more importantly, who reached that ripe old age never having experienced cardiovascular disease, cancer, diabetes, or cognitive decline.In Age Later, Dr. Barzilai reveals the secrets his team has unlocked about SuperAgers and the scientific discoveries that show we can mimic some of their natural resistance to the aging process. This eye-opening and inspirational book will help you think of aging not as a certainty, but as a phenomenon—like many other diseases and misfortunes—that can be targeted, improved, and even cured.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    These vignettes serve as springboards to many telling perspectives: simple arithmetic puts life-long habits in a dubious new light; higher dimensional geometry helps us see that we're all rather peculiar; nonlinear dynamics explains the narcissism of small differences cascading into very different siblings; logarithms and exponentials yield insight on why we tend to become bored and jaded as we age; and there are tricks and jokes, probability and coincidences, and much more.For fans of Paulos or newcomers to his work, this witty commentary on his life--and yours--is fascinating reading.From the Trade Paperback edition.

    Dumb crooks, celebrities gone bad, unsolved mysteries, odd laws, and more—Strange Crime has plenty of stories that will make you ask yourself, “What could they possibly have been thinking?” This easily portable paperback book is ideal for readers on the go. Take it to school, to work, to jury duty!

    David A Kessler has studied this question with regard to tobacco, food, and drugs. Over the course of these investigations, he identified one underlying mechanism common to a broad range of human suffering. This phenomenon—capture—is the process by which our attention is hijacked and our brains commandeered by forces outside our control.In Capture, Dr. Kessler considers some of the most profound questions we face as human beings: What are the origins of mental afflictions, from everyday unhappiness to addiction and depression—and how are they connected? Where does healing and transcendence fit into this realm of emotional experience?Analyzing an array of insights from psychology, medicine, neuroscience, literature, philosophy, and theology, Dr. Kessler deconstructs centuries of thinking, examining the central role of capture in mental illness and questioning traditional labels that have obscured our understanding of it. With a new basis for understanding the phenomenon of capture, he explores the concept through the emotionally resonant stories of both well-known and un-known people caught in its throes.The closer we can come to fully comprehending the nature of capture, Dr. Kessler argues, the better the chance to alleviate its deleterious effects and successfully change our thoughts and behavior Ultimately, Capture offers insight into how we form thoughts and emotions, manage trauma, and heal. For the first time, we can begin to understand the underpinnings of not only mental illness, but also our everyday worries and anxieties. Capture is an intimate and critical exploration of the most enduring human mystery of all: the mind.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    This book considers many of those ideas and presents a new solution why three is the magic number.

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.