Book picks similar to
Fractals, Graphics, and Mathematics Education by Benoît B. Mandelbrot
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Emergence: The Connected Lives of Ants, Brains, Cities, and Software
Steven Johnson - 2001
Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.
Information and the Nature of Reality: From Physics to Metaphysics
Paul C.W. Davies - 2010
In recent years, however, the concept of information has gained importance. Why? In this book, eminent scientists, philosophers and theologians chart various aspects of information, from quantum information to biological and digital information, in order to understand how nature works. Beginning with a historical treatment of the topic, the book also examines physical and biological approaches to information, and its philosophical, theological and ethical implications.
Crossing The Craton
John McPhee
McPhee embarks on a fascinating journey across the basement of the continent -- the land masses forming Illinois, Iowa, Nebraska, and thereabouts -- with a professor and geochronologist acting as a guide.
The Physics of Immortality: Modern Cosmology, God and the Resurrection of the Dead
Frank J. Tipler - 1994
Tipler claims to scientifically prove the existence of God and the physical resurrection of the dead.
Dr. Patrick Walsh's Guide to Surviving Prostate Cancer
Patrick C. Walsh - 2001
But the good news is that more men are being cured of this disease than ever before. Now in a revised fourth edition, this lifesaving guide by Dr. Patrick Walsh and award-winning science writer Janet Farrar Worthington offers a message of hope to every man facing this illness. Prostate cancer is a different disease in every man--which means that the right treatment varies for each person. Public awareness for this disease has transformed treatment and opened up new avenues of research; rapid advances in knowledge are being translated in new recommendations for management. In this book, Dr. Walsh will address questions such as: What causes prostate cancer? Your risk factors, including heredity, diet, and environment. Can I prevent prostate cancer? How some simple changes in your diet and lifestyle can help prevent or delay the disease. Does prostate cancer need to be treated at all? This hot-button issue is vital for men to understand. How do I know if I have prostate cancer? An explanation of the recently refined and expanded recommendations. How can my prostate cancer be treated? The pros and cons of new technologies and new information on focal therapy.
The Mystery of the Aleph
Amir D. Aczel - 2000
Aczel's compelling narrative that blends a story of infinity with the tragic tale of a tormented and brilliant mathematician.From the Pythagoreans, the Greek cult of mathematics, to the mystical Jewish numerology found in the Kabbalah, The Mystery Of The Aleph follows the search for an answer that may never truly be trusted.
Conned Again, Watson: Cautionary Tales Of Logic, Math, And Probability
Colin Bruce - 2000
In these cautionary tales of greedy gamblers, reckless businessmen, and ruthless con men, Sherlock Holmes uses his deep understanding of probability, statistics, decision theory, and game theory to solve crimes and protect the innocent. But it's not just the characters in these well-crafted stories that are deceived by statistics or fall prey to gambling fallacies. We all suffer from the results of poor decisions. In this illuminating collection, Bruce entertains while teaching us to avoid similar blunders. From "The Execution of Andrews" to "The Case of the Gambling Nobleman," there has never been a more exciting way to learn when to take a calculated risk-and how to spot a scam.
The Cult of Statistical Significance: How the Standard Error Costs Us Jobs, Justice, and Lives
Stephen Thomas Ziliak - 2008
If it takes a book to get it across, I hope this book will do it. It ought to.”—Thomas Schelling, Distinguished University Professor, School of Public Policy, University of Maryland, and 2005 Nobel Prize Laureate in Economics “With humor, insight, piercing logic and a nod to history, Ziliak and McCloskey show how economists—and other scientists—suffer from a mass delusion about statistical analysis. The quest for statistical significance that pervades science today is a deeply flawed substitute for thoughtful analysis. . . . Yet few participants in the scientific bureaucracy have been willing to admit what Ziliak and McCloskey make clear: the emperor has no clothes.”—Kenneth Rothman, Professor of Epidemiology, Boston University School of Health The Cult of Statistical Significance shows, field by field, how “statistical significance,” a technique that dominates many sciences, has been a huge mistake. The authors find that researchers in a broad spectrum of fields, from agronomy to zoology, employ “testing” that doesn’t test and “estimating” that doesn’t estimate. The facts will startle the outside reader: how could a group of brilliant scientists wander so far from scientific magnitudes? This study will encourage scientists who want to know how to get the statistical sciences back on track and fulfill their quantitative promise. The book shows for the first time how wide the disaster is, and how bad for science, and it traces the problem to its historical, sociological, and philosophical roots. Stephen T. Ziliak is the author or editor of many articles and two books. He currently lives in Chicago, where he is Professor of Economics at Roosevelt University. Deirdre N. McCloskey, Distinguished Professor of Economics, History, English, and Communication at the University of Illinois at Chicago, is the author of twenty books and three hundred scholarly articles. She has held Guggenheim and National Humanities Fellowships. She is best known for How to Be Human* Though an Economist (University of Michigan Press, 2000) and her most recent book, The Bourgeois Virtues: Ethics for an Age of Commerce (2006).
The Classroom Chef: Sharpen Your Lessons, Season Your Classes, Make Math Meaninful
John Stevens - 2016
You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.
How to Think Like a Mathematician
Kevin Houston - 2009
Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
The Naked Surgeon: the power and peril of transparency in medicine
Samer Nashef - 2015
We all have one, but most of us will never see one. The heart surgeon now has that privilege but, for centuries, the heart was out of reach even for surgeons. So when a surgeon nowadays opens up a ribcage and mends a heart, it remains something of a miracle, even if, to some, it is merely plumbing.
As with plumbers, the quality of surgeons’ work varies. As with plumbers, surgeons’ opinion of their own prowess and their own attitude to risk are not always reliable. Measurement is key. We’ve had a century of effective evidence-based medicine. We’ve had barely a decade of thorough monitoring of clinical outcomes. Thanks to the ground-breaking risk modelling of pioneering surgeons like Samer Nashef, we at last know how to judge whether an operation is in a patient’s best interest, which hospital and surgeon would be best for that operation, when it might best be performed and what the exact level of risk is. We have at last made what is important in surgery measurable. But how should surgeons, and their patients, use these newfound insights? Ever since his days as a medical student, Samer Nashef has challenged the medical profession to be more open and more accurate about the success of surgical procedures, for the sake of the patients. In The Naked Surgeon, he unclothes his own profession to demonstrate to his reader (and prospective patient) many revelations, such as the paradox at the heart of the cardiac surgeon’s craft: the more an operation is likely to kill you, the better it is for you. And he does so with absolute clarity, fluency and not a little wit.
What Is Mathematics?: An Elementary Approach to Ideas and Methods
Richard Courant - 1941
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.
Graph Theory With Applications To Engineering And Computer Science
Narsingh Deo - 2004
GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1
Linear Algebra and Its Applications [with CD-ROM]
David C. Lay - 1993
Einstein's Theory of Relativity
Max Born - 1962
This is such a book. Max Born is a Nobel Laureate (1955) and one of the world's great physicists: in this book he analyzes and interprets the theory of Einsteinian relativity. The result is undoubtedly the most lucid and insightful of all the books that have been written to explain the revolutionary theory that marked the end of the classical and the beginning of the modern era of physics.The author follows a quasi-historical method of presentation. The book begins with a review of the classical physics, covering such topics as origins of space and time measurements, geometric axioms, Ptolemaic and Copernican astronomy, concepts of equilibrium and force, laws of motion, inertia, mass, momentum and energy, Newtonian world system (absolute space and absolute time, gravitation, celestial mechanics, centrifugal forces, and absolute space), laws of optics (the corpuscular and undulatory theories, speed of light, wave theory, Doppler effect, convection of light by matter), electrodynamics (including magnetic induction, electromagnetic theory of light, electromagnetic ether, electromagnetic laws of moving bodies, electromagnetic mass, and the contraction hypothesis). Born then takes up his exposition of Einstein's special and general theories of relativity, discussing the concept of simultaneity, kinematics, Einstein's mechanics and dynamics, relativity of arbitrary motions, the principle of equivalence, the geometry of curved surfaces, and the space-time continuum, among other topics. Born then points out some predictions of the theory of relativity and its implications for cosmology, and indicates what is being sought in the unified field theory.This account steers a middle course between vague popularizations and complex scientific presentations. This is a careful discussion of principles stated in thoroughly acceptable scientific form, yet in a manner that makes it possible for the reader who has no scientific training to understand it. Only high school algebra has been used in explaining the nature of classical physics and relativity, and simple experiments and diagrams are used to illustrate each step. The layman and the beginning student in physics will find this an immensely valuable and usable introduction to relativity. This Dover 1962 edition was greatly revised and enlarged by Dr. Born.