猶太
The Fractal Geometry of Nature 豆瓣
作者: Benoit B. Mandelbrot W. H. Freeman and Company 1982
"...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations include many superb examples of computer graphics that are works of art in their own right." Nature
The Fractalist 豆瓣
作者: Benoit Mandelbrot Pantheon 2012 - 10
A fascinating memoir from the man who revitalized visual geometry, and whose ideas about fractals have changed how we look at both the natural world and the financial world.
Benoit Mandelbrot, the creator of fractal geometry, has significantly improved our understanding of, among other things, financial variability and erratic physical phenomena. In The Fractalist, Mandelbrot recounts the high points of his life with exuberance and an eloquent fluency, deepening our understanding of the evolution of his extraordinary mind. We begin with his early years: born in Warsaw in 1924 to a Lithuanian Jewish family, Mandelbrot moved with his family to Paris in the 1930s, where he was mentored by an eminent mathematician uncle. During World War II, as he stayed barely one step ahead of the Nazis until France was liberated, he studied geometry on his own and dreamed of using it to solve fresh, real-world problems. We observe his unusually broad education in Europe, and later at Caltech, Princeton, and MIT. We learn about his thirty-five-year affiliation with IBM’s Thomas J. Watson Research Center and his association with Harvard and Yale. An outsider to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden laws governing utter roughness, turbulence, and chaos.
Here is a remarkable story of both the man’s life and his unparalleled contributions to science, mathematics, and the arts.
Info-Gap Economics 豆瓣
作者: Yakov Ben-Haim Palgrave Macmillan 2010 - 5
After every crisis economists and policy analysts ask: can better models help prevent or ameliorate such situations? This book provides an answer. Yes, quantitative models can help if we remember that they are rough approximations to a vastly more complex reality. Models can help if we include realistic but simple representations of uncertainty among our models, and if we retain the pre-eminence of human judgment over the churning of our computers. Info-gap theory is a new method for modeling and managing severe uncertainty. The core of the book presents detailed examples of info-gap analysis of decisions in monetary policy, financial economics, environmental economics for pollution control and climate change, estimation and forecasting. This book is essential reading for economic policy analysts and researchers.
Models of a Man 豆瓣
作者: Mie Augier MIT Press 2004 - 5
Herbert Simon (1916-2001), in the course of a long and distinguished career in the social and behavioral sciences, made lasting contributions to many disciplines, including economics, psychology, computer science, and artificial intelligence. In 1978 he was awarded the Nobel Prize in economics for his research into the decision-making process within economic organizations. His well-known book The Sciences of the Artificial addresses the implications of the decision-making and problem-solving processes for the social sciences.This book (the title is a variation on the title of Simon's autobiography, Models of My Life) is a collection of short essays, all original, by colleagues from many fields who felt Simon's influence and mourn his loss. Mixing reminiscence and analysis, the book represents "a small acknowledgment of a large debt."Each of the more than forty contributors was asked to write about the one work by Simon that he or she had found most influential. The editors then grouped the essays into four sections: "Modeling Man," "Organizations and Administration," "Modeling Systems," and "Minds and Machines." The contributors include such prominent figures as Kenneth Arrow, William Baumol, William Cooper, Gerd Gigerenzer, Daniel Kahneman, David Klahr, Franco Modigliani, Paul Samuelson, and Vernon Smith. Although they consider topics as disparate as "Is Bounded Rationality Unboundedly Rational?" and "Personal Recollections from 15 Years of Monthly Meetings," each essay is a testament to the legacy of Herbert Simon -- to see the unity rather than the divergences among disciplines.
Maxwell's Demon 豆瓣
作者: Harvey Leff (Editor), Andrew F. Rex (Editor) Princeton University Press 1990
新的科学突破将在于物质与信息边缘的地方。对于麦克斯韦妖这个假想的科学怪物的研究证实在朝向这个方向努力。逻辑计算能够不产生熵吗?计算上的不可逆和物理上的不可逆究竟有什么关系?信息和物质究竟以怎样的方式纠缠在一起?这本书是一个论文集,对物理与信息科学的边界进行探讨。
What Is Mathematics? 豆瓣
作者: Richard Courant / Herbert Robbins Oxford University Press 1996 - 7
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.