Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry.As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    In 1919, Spanish flu killed over 50 million people, more than died in both world wars combined. In 1950, an estimated 50 million people caught smallpox worldwide, of whom 10 million died. In 1980, before measles vaccine was widely used, an estimated 2.6 million children died of measles every year. Today we are hostage to a new pandemic disease -the seemingly unstoppable COVID-19.Less than 100 years ago, losing a child to an infection like diphtheria or polio was a dreaded but almost inevitable sorrow faced by all parents, from the richest to the poorest. Today, these killer diseases are almost never seen in industrialised countries, thanks to the development of vaccines. Immunisation has given modern parents peace of mind their ancestors could not imagine.The history of vaccination is rich with trial, error, sabotage and success. It encompasses the tragedy of lives lost, the drama of competition and discovery, the culpability of botched testing, and the triumph of effective, lifelong immunity. Yet with the eradication in the first world of some of humanity's deadliest foes, complacency in some quarters has set in. COVID-19 has us again racing for a vaccine. The story of past achievements and failures helps us keep the race - and the hope - in perspective.This is a book for everyone who wants to understand our past - and cares about our future.PRAISE'Anyone who has doubts about the life-saving miracle of vaccination should read this' Steven Carroll, Sydney Morning Herald'An entertaining and engaging work that is sure to delight general readers' Australian Book Review'The ideal handbook for pregnant women, parents, travellers, childcare and aged-care workers, GPs and anyone with an interest in public health' The Australian'Isaacs explores the understanding of immunity as it develops from the fifth century BC to the present day and thrills us with the progressive successes of each of the 14 vaccines which a child routinely receives today ... The work is authoritative, beguiling, amusing, instructive and inspirational. It deserves a wide readership, including infectious disease experts, other health professionals and, most assuredly, a diversity of lay people' Sir Gustav Nossal, immunologist and director of The Walter and Eliza Institute of Medical Research, Melbourne, 1965-1996'A rollicking story of human endeavour, error, misinformation, success and failure ... and more than a glimpse of why we need to continue to research, evaluate, educate and fund vaccines to prevent disease' Fiona Stanley, Distinguished Research Professor, University of Western Australia'Effortlessly accessible, Defeating the Ministers of Death brilliantly reveals the people behind the most important public health intervention in history' Professor Andrew J Pollard, Department of Paediatrics, University of Oxford'This book is an unflinching look at the triumphs and inevitable tragedies in the war against infectious diseases. Nonfiction is at its best when it reads like fiction. And David Isaacs has written a page turner' Paul A. Offit, MD, author of Bad Advice: Or Why Celebrities, Politicians, and Activists Aren't Your Best Source of Health Information

    While the alphabeasties were comprised of letters, these incredible insects are ingeniously engineered out of numerals. Each entry includes fascinating numeric facts about its subject: An ant has 2 stomachs and 3 body parts, and it can lift 50 times its body weight! This one-of-a-kind, eye-catching look at the insect world will entertain, engage, and educate stylish young entomologists everywhere!

    Contributors include Steven Weinberg, Peter Galison, John Maynard Smith, and Frank Wilczek.

    Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.

    Fully stocked with solved problemsN950 of themNit shows you how to solve problems that may not have been fully explained in class. Plus you ge"

    Being Mortal by Atul Gawande - A 20-minute Summary Inside this Instaread Summary: • Overview of the entire book• Introduction to the important people in the book• Summary and analysis of all the chapters in the book• Key Takeaways of the book• A Reader's Perspective Preview of this summary: Chapter 1 Gawande grew up in Ohio. His parents were immigrants from India and both were doctors. His grandparents stayed in India, and there were few older people in his neighborhood, so he had little experience with aging or death until he met his wife’s grandmother, Alice Hobson. Hobson was seventy-seven and living on her own in Virginia. She was a spirited widow who fixed her own plumbing and volunteered with Meals On Wheels. However, Hobson was losing strength and height steadily each year as her arthritis worsened.Gawande’s father enthusiastically adopted the customs of his new country, but he could not understand the way in which seniors were treated in the US. In India, the elderly were treated with great respect and lived out their lives with family.In the United States, Sitaram Gawande, Gawande’s grandfather, likely would have been sent to a nursing home like most of the elderly who cannot handle the basics of daily living by themselves. However, in India, Sitaram Gawande was able to live in his own home and manage his own affairs, with family constantly around him. He died at the age of one hundred and ten when he fell off a bus during a business trip.Until recently, most elderly people stayed with their families. Even as the nuclear family unit became predominant, replacing the multi-generational family unit, people cared for their elderly relatives. Families were large and one child, usually a daughter, would not marry in order to take care of the parents.This has changed in much of the world, where elderly people end up struggling to live alone, like Hobson, rather than living with dignity amid family, like Sitaram Gawande.One cause of this change can be found in the nature of knowledge. When few people lived to be very old, elders were honored. Their store of knowledge was greatly useful. People often portrayed themselves as older to command respect. Modern society’s emphasis on youth is a complete reversal of this attitude. Technological advances are perceived as the territory of the young, and everyone wants to be younger. High-tech job opportunities are all over the world, and young people do not hesitate to leave their parents behind to pursue them.In developed countries, parents embrace the concept of a retirement filled with leisure activities. Parents are happy to begin living for themselves once children are grown. However, this system only works for young, healthy retirees, but not for those who cannot continue to be independent. Hobson, for example, was falling frequently and suffering memory lapses. Her doctor did tests and wrote prescriptions, but did not know what to do about her deteriorating condition. Neither did her family… About the Author With Instaread Summaries, you can get the summary of a book in 30 minutes or less. We read every chapter, summarize and analyze it for your convenience.

    While such visualizations can better inform us, they can also deceive by displaying incomplete or inaccurate data, suggesting misleading patterns—or simply misinform us by being poorly designed, such as the confusing “eye of the storm” maps shown on TV every hurricane season.Many of us are ill equipped to interpret the visuals that politicians, journalists, advertisers, and even employers present each day, enabling bad actors to easily manipulate visuals to promote their own agendas. Public conversations are increasingly driven by numbers, and to make sense of them we must be able to decode and use visual information. By examining contemporary examples ranging from election-result infographics to global GDP maps and box-office record charts, How Charts Lie teaches us how to do just that.

    Aided by a number of stunning illustrations, David Billington discusses leading structural engineer-artists, such as John A. Roebling, Gustave Eiffel, Fazlur Khan, and Robert Maillart.

    Conrad Fischer presents the only full-color USMLE guide on the market to cover the clinical conditions and patient management scenarios tested on the Step 2 CK exam.New from best-selling USMLE author and award-winning medical educator, Dr. Conrad Fischer, comes the only full-color USMLE guide on the market to present the clinical conditions and patient care scenarios encountered on the Step 2 Clinical Knowledge exam. Students take the USMLE Step 2 CK Exam during their final year of medical school. The Step 2 Clinical Knowledge is a multiplechoice exam designed to determine whether the examinee possesses the medical knowled.0ge and understanding of clinical science considered essential for the provision of patient care under supervision. Kaplan Medical USMLE Master the Boards Step 2 CK is the first book that covers the content of the exam in a logical and methodical fashion, emphasizing several categories of residency including:A logical step-by-step approach to patient careAn assessment of severity, prognosis, and next course of action for specific conditionsHow to prioritize while managing, especially in emergency or acute casesAn outline of signs/symptoms and diagnostic or lab tests that signify the need for change in management approaches

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    The place: Europe. The time: 25,000 years ago, the last Ice Age. In reality, you live in an open-air tent or a bone hut. But you also belong to a rich culture that creates art. In and around your cave paintings are handprints and dots, x’s and triangles, parallel lines and spirals. Your people know what they mean. You also use them on tools and jewelry. And then you vanish—and with you, their meanings.Join renowned archaeologist Genevieve von Petzinger on an Indiana Jones-worthy adventure from the open-air rock art sites of northern Portugal to the dark depths of a remote cave in Spain that can only be reached by sliding face-first through the mud. Von Petzinger looks past the beautiful horses, powerful bison, graceful ibex, and faceless humans in the ancient paintings. Instead, she’s obsessed with the abstract geometric images that accompany them, the terse symbols that appear more often than any other kinds of figures—signs that have never really been studied or explained until now.Part travel journal, part popular science, part personal narrative, von Petzinger’s groundbreaking book starts to crack the code on the first form of graphic communication. It’s in her blood, as this talented scientist’s grandmother served as a code-breaker at Bletchley. Discernible patterns emerge that point to abstract thought and expression, and for the first time, we can begin to understand the changes that might have been happening inside the minds of our Ice Age ancestors—offering a glimpse of when they became us.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    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.