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THE STORY: On the eve of her twenty-fifth birthday, Catherine, a troubled young woman, has spent years caring for her brilliant but unstable father, a famous mathematician. Now, following his death, she must deal with her own volatile emotions; the
Why is it that some people work hard, yet remain poor? How is it that others seem to rise out of poverty and become affluent in a short span of time? If you want to know how to become rich relatively quickly, and avoid spending years working back-breakingly hard without ever breaking even, then read on. The answers to escaping poverty and becoming wealthy are actually well known and based on a number of powerful principles that have been tested by time and replicated in different countries, by families and individuals who have become astonishingly rich. So, what are these ideas that genuinely lift people out of poverty and ensure their personal wealth? Here are 50. They all work. They will make you richer. They remove the emotion, the politics and the clutter from our thoughts about wealth, and they go straight to the heart of one simple issue: what it genuinely takes to become rich. Prepare to train your brain for wealth. Prepare to become ‘poverty proof’ for life,
A fresh look at a “robot-proof” education in the new age of generative AI. In 2017, Robot-Proof, the first edition, foresaw the advent of the AI economy and called for a new model of higher education designed to help human beings flourish alongside smart machines. That economy has arrived. Creative tasks that, seven years ago, seemed resistant to automation can now be performed with a simple prompt. As a result, we must now learn not only to be conversant with these technologies, but also to comprehend and deploy their outputs. In this revised and updated edition, Joseph Aoun rethinks the university’s mission for a world transformed by AI, advocating for the lifelong endeavor of a “robot-proof” education. Aoun puts forth a framework for a new curriculum, humanics, which integrates technological, data, and human literacies in an experiential setting, and he renews the call for universities to embrace lifelong learning through a social compact with government, employers, and learners themselves. Drawing on the latest developments and debates around generative AI, Robot-Proof is a blueprint for the university as a force for human reinvention in an era of technological change—an era in which we must constantly renegotiate the shifting boundaries between artificial intelligence and the capacities that remain uniquely human.
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Presents a look at the science of alcohol production and consumption, from the principles behind the fermentation, distillation, and aging of alcoholic beverages, to the psychology and neurobiology of what happens after it is consumed.
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
From debut author and poet Lexa Hillyer comes the lyrical story of four seventeen-year-old friends who receive an unlikely chance to relive the perfect summer . . . and the devastating secret that could unravel it all. Elegant and evocative, Proof of Forever is one of those first novels that hooks you from the beginning and builds toward a stunning—and unexpected—end, calling to mind Gayle Forman and Ann Brashares. Joy, Tali, Luce, and Zoe were once best friends. Now they barely speak. That is, until the fateful flash of a photo-booth camera transports them back in time, to the summer they were fifteen—the summer everything changed. Photos fade. Friendships dissolve. Summers end. But this one will change the girls forever . . . again. Wendy Wunder calls Proof of Forever "The Sisterhood of the (Time) Traveling Pants for a new generation!"
A mother’s faith, a child’s courage, a doctor’s dedication—a moving and thought-provoking tale of hope, love, and family He might be young, but Colm already recognizes the truth: that he’s sick and not getting better. His mother, Cathleen, fiercely believes her faith will protect her ailing son, but Colm is not so sure. With a wisdom far beyond his years, Colm has come to terms with his probable fate, but he does have one special wish. He wants to meet his father who abandoned his beloved mother before Colm was born. But the quest to find the dying boy’s missing parent soon becomes a powerful journey of emotional discovery—a test of belief and an anxious search for proof of heaven. A magnificent debut novel, Mary Curran Hackett’s Proof of Heaven is a beautiful and unforgettable exploration of the power of love and the monumental questions of life, death, and the afterlife.
The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.