Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.
A matemática é algo a que todos estamos expostos nas nossas vidas quotidianas, mas que muitos temem Nesta introdução eminentemente acessível e divertida, Timothy Gowers explica as diferenças fundamentais, essencialmente filosóficas, entre a matemática avançada e aquela que aprendemos na escola Ao fazê-lo, proporciona-nos uma compreensão clara de conceitos só aparentemente paradoxais, como «infinito», «espaço curvo» e «números imaginários» De ideias básicas a questões sociológicas sobre a comunidade matemática, passando por explorações filosóficas, este livro esclarece de forma cativante alguns mistérios do espaço e dos números
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathem...
"Reinventing Discovery argues that we are in the early days of the most dramatic change in how science is done in more than 300 years. This change is being driven by new online tools, which are transforming and radically accelerating scientific discovery"--Provided by publisher.
Sir William Richard Gowers was one of the pre-eminent clinical neurologists of the nineteenth century. He is best remembered for his discovery of the eponymous 'Gowers' sign', for his invention of the patella hammer, and for authoring the classic two-volume neurology textbook Manual of Diseases of the Nervous System. To date Dr Gowers has been the subject of only one published biography, while some aspects of Gowers' work have been chronicled in historical works regarding the history of neurology. This book goes into greater detail than ever, presenting the life story behind a great Victorian brain. Generously illustrated throughout with family photographs and original sketches, the authors cover Gowers' early years, his clinical work at Queen Square, his accolades, and friendships with explorers and famous authors. Co-authored by an academic with special access to the Gowers family archives and two leading neurologists, this book is the first definitive reference work on the life of William Richard Gowers, and will be of great interest to neurologists, neuroscientists, medical historians, and laypersons with an interest in neurology and mental illness.
Szemerédi's influence on today's mathematics, especially in combinatorics, additive number theory, and theoretical computer science, is enormous. This volume is a celebration of Szemerédi's achievements and personality, on the occasion of his seventieth birthday. It exemplifies his extraordinary vision and unique way of thinking. A number of colleagues and friends, all top authorities in their fields, have contributed their latest research papers to this volume. The topics include extension and applications of the regularity lemma, the existence of k-term arithmetic progressions in various subsets of the integers, extremal problems in hypergraphs theory, and random graphs, all of them beautiful, Szemerédi type mathematics. It also contains published accounts of the first two, very original and highly successful Polymath projects, one led by Tim Gowers and the other by Terry Tao.