In Pursuit of the Unknown: 17 Equations That Changed the World


Ian Stewart - 2012
    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

Journey through Genius: The Great Theorems of Mathematics


William Dunham - 1990
    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

Sex, Drugs and Chocolate


Paul R. Martin - 2009
    The author looks at changing attitudes to pleasure over the centuries, including religious and philosophical lawgiving on the subject, before moving on to the science of all this human frenzy.

Innumeracy: Mathematical Illiteracy and Its Consequences


John Allen Paulos - 1988
    Dozens of examples in innumeracy show us how it affects not only personal economics and travel plans, but explains mis-chosen mates, inappropriate drug-testing, and the allure of pseudo-science.

Connectome: How the Brain's Wiring Makes Us Who We Are


Sebastian Seung - 2012
    Is it in our genes? The structure of our brains? Our genome may determine our eye color and even aspects of our personality. But our friendships, failures, and passions also shape who we are. The question is: how?Sebastian Seung, a dynamic professor at MIT, is on a quest to discover the biological basis of identity. He believes it lies in the pattern of connections between the brain’s neurons, which change slowly over time as we learn and grow. The connectome, as it’s called, is where our genetic inheritance intersects with our life experience. It’s where nature meets nurture.Seung introduces us to the dedicated researchers who are mapping the brain’s connections, neuron by neuron, synapse by synapse. It is a monumental undertaking—the scientific equivalent of climbing Mount Everest—but if they succeed, it could reveal the basis of personality, intelligence, memory, and perhaps even mental disorders. Many scientists speculate that people with anorexia, autism, and schizophrenia are "wired differently," but nobody knows for sure. The brain’s wiring has never been clearly seen.In sparklingly clear prose, Seung reveals the amazing technological advances that will soon help us map connectomes. He also examines the evidence that these maps will someday allow humans to "upload" their minds into computers, achieving a kind of immortality.Connectome is a mind-bending adventure story, told with great passion and authority. It presents a daring scientific and technological vision for at last understanding what makes us who we are. Welcome to the future of neuroscience.

A Mathematician's Lament


Paul Lockhart
    He proposes his solution.

The Beginning of Infinity: Explanations That Transform the World


David Deutsch - 2011
    Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy


Cathy O'Neil - 2016
    Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.

Mark of the Grizzly


Scott McMillion - 2011
    Sometimes grizzlies kill people, and in exceptionally rare cases they even eat them. Those incidents are the focus of this book because that's what makes bears so interesting, such a huge part of our culture and our collective imagination.

The New Hot: Cruising Through Menopause with Attitude and Style


Meg Mathews - 2020
    Rejecting the idea that we should live in fear, suffer silently, or medicate ourselves unnecessarily through this hormonal shift, Mathews set out to get answers and advice from the medical establishment, alternative therapists, and her many friends in the midst of "the change." When she launched the Megs Menopause website, it quickly became the trending online destination for pre- and menopausal women all over the world.Now, in The New Hot, Mathews offers the results of all her research and discussions: the latest information about hormone treatments (hormone replacement therapy and bioidentical hormone therapy), her best tips and techniques for coping with menopausal symptoms (there are officially thirty-four possible symptoms; Mathews has dealt with thirty-two!), and dishy, girlfriend-to-girlfriend advice about what to really expect when you're aging. Entertaining, stylish, and informative, The New Hot will be the resource women everywhere are talking about, learning from, and recommending to one another.

Conquering Fat Logic: how to overcome what we tell ourselves about diets, weight, and metabolism


Nadja Hermann - 2019
    After years of failed diets Dr Nadja Hermann weighed over 23 stone at the age of 30. All her life, she had heard and read about hundreds of reasons why diets wouldn't work for her. But when her weight started to seriously affect her health, she took a hard look at the science and realised that most of what she believed about dieting was a myth. What was more, those very myths were preventing her from losing weight.Forget clean eating, paleo, or fasting — it was conquering these elements of ‘Fat Logic’ that finally led to Hermann achieving a healthy weight. One and a half years later, she weighed 10 stone, and has maintained that weight to this day. Now, using humour, the insight she’s acquired, and a dose of science, Hermann debunks widespread lies about weight loss, and shows how it is possible to attain a healthy weight.

Life with an Autistic Son


B's Dad - 2013
    He did not crave my company, cling to and cuddle me endlessly. He showed no need to bond with me, his father, and we did not. He exhausted me, he frustrated me and he scared me. I came to dread coming home from work sometimes, or those moments when it was my turn to wrestle him into bed and begin the long struggle to settle him. I said things that will forever haunt me, like “What is wrong with that child?” and “Is he always going to be this annoying?” What I didn't know then was that he was autistic.When that realisation came, so did the beginning of my mission to understand my son, and to understand autism. This book chronicles that search for understanding and answers. It documents one parent’s attempts to come to terms with, and accept, his child. It is raw and real, sometimes confused and frightened but also, I’d like to think, written with warmth and love and an ability to smile through difficult times.This book is for anyone starting out on a pathway with their child that they did not expect. It’s also for people who, like me, are a little further down that road but still learning, still asking questions and still getting it wrong sometimes. You are not alone.

Pale Blue Dot: A Vision of the Human Future in Space


Carl Sagan - 1994
    This stirring book reveals how scientific discovery has altered our perception of who we are and where we stand, and challenges us to weigh what we will do with that knowledge. Photos, many in color.

A Primer of Ecological Statistics


Nicholas J. Gotelli - 2004
    The book emphasizes a general introduction to probability theory and provides a detailed discussion of specific designs and analyses that are typically encountered in ecology and environmental science. Appropriate for use as either a stand-alone or supplementary text for upper-division undergraduate or graduate courses in ecological and environmental statistics, ecology, environmental science, environmental studies, or experimental design, the Primer also serves as a resource for environmental professionals who need to use and interpret statistics daily but have little or no formal training in the subject.

The Tiger That Isn't: Seeing Through a World of Numbers


Michael Blastland - 2007
    Too often, that power is abused and the numbers bamboozle. This book shows how to see straight through them - and how to seize the power for yourself. Public spending, health risks, environmental disasters, who is rich, who is poor, Aids or war deaths, pensions, teenage offenders, the best and worst schools and hospitals, immigration - life comes in numbers. The trick to seeing through them is strikingly simple. It is to apply something everyone has - the lessons of their own experience. Using vivid and everyday images and ideas, this book shows how close to hand insight and understanding can be, and how we can all use what is familiar to make sense of what is baffling. It is also a revelation - of how little the principles are understood even by many who claim to know better. This book is written by the team who created and present the hugely popular BBC Radio 4 series, More or Less.