Book picks similar to
Surreal Numbers by Donald Ervin Knuth
math
mathematics
non-fiction
science
The Universe in Zero Words: The Story of Mathematics as Told Through Equations
Dana Mackenzie - 2012
Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics -- the universal language of science -- keep the masterpieces of the subject hidden behind a veil?"The Universe in Zero Words" tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society -- from the elementary (1+1 = 2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E = mc^2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called a "popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives.(From the jacket copy.)Note: The Princeton University Press version (black cover) is for sale in the English-speaking world outside Australia. The Newsouth Press version (blue cover) is for sale in Australia. The two versions are identical except for the covers.
Cybernetics: or the Control and Communication in the Animal and the Machine
Norbert Wiener - 1948
It is a ‘ must’ book for those in every branch of science . . . in addition, economists, politicians, statesmen, and businessmen cannot afford to overlook cybernetics and its tremendous, even terrifying implications. "It is a beautifully written book, lucid, direct, and despite its complexity, as readable by the layman as the trained scientist." -- John B. Thurston, "The Saturday Review of Literature" Acclaimed one of the "seminal books . . . comparable in ultimate importance to . . . Galileo or Malthus or Rousseau or Mill," "Cybernetics" was judged by twenty-seven historians, economists, educators, and philosophers to be one of those books published during the "past four decades", which may have a substantial impact on public thought and action in the years ahead." -- Saturday Review
The Meme Machine
Susan Blackmore - 1999
The meme is also one of the most important--and controversial--concepts to emerge since 'The Origin of the Species' appeared nearly 150 years ago.In 'The Meme Machine' Susan Blackmore boldly asserts: "Just as the design of our bodies can be understood only in terms of natural selection, so the design of our minds can be understood only in terms of memetic selection." Indeed, Blackmore shows that once our distant ancestors acquired the crucial ability to imitate, a second kind of natural selection began, a survival of the fittest amongst competing ideas and behaviors. Ideas and behaviors that proved most adaptive - making tools, for example, or using language--survived and flourished, replicating themselves in as many minds as possible. These memes then passed themselves on from generation to generation by helping to ensure that the genes of those who acquired them also survived and reproduced. Applying this theory to many aspects of human life, Blackmore offers brilliant explanations for why we live in cities, why we talk so much, why we can't stop thinking, why we behave altruistically, how we choose our mates, and much more.With controversial implications for our religious beliefs, our free will, our very sense of "self," 'The Meme Machine' offers a provocative theory everyone will soon be talking about.
Rationality: From AI to Zombies
Eliezer Yudkowsky - 2015
Real rationality, of the sort studied by psychologists, social scientists, and mathematicians. The kind of rationality where you make good decisions, even when it's hard; where you reason well, even in the face of massive uncertainty; where you recognize and make full use of your fuzzy intuitions and emotions, rather than trying to discard them. In "Rationality: From AI to Zombies," Eliezer Yudkowsky explains the science underlying human irrationality with a mix of fables, argumentative essays, and personal vignettes. These eye-opening accounts of how the mind works (and how, all too often, it doesn't!) are then put to the test through some genuinely difficult puzzles: computer scientists' debates about the future of artificial intelligence (AI), physicists' debates about the relationship between the quantum and classical worlds, philosophers' debates about the metaphysics of zombies and the nature of morality, and many more. In the process, "Rationality: From AI to Zombies" delves into the human significance of correct reasoning more deeply than you'll find in any conventional textbook on cognitive science or philosophy of mind. A decision theorist and researcher at the Machine Intelligence Research Institute, Yudkowsky published earlier drafts of his writings to the websites Overcoming Bias and Less Wrong. "Rationality: From AI to Zombies" compiles six volumes of Yudkowsky's essays into a single electronic tome. Collectively, these sequences of linked essays serve as a rich and lively introduction to the science—and the art—of human rationality.
Bursts: The Hidden Pattern Behind Everything We Do
Albert-László Barabási - 2010
But now, astonishing new research is revealing patterns in human behavior previously thought to be purely random. Precise, orderly, predictable patterns... Albert Laszlo Barabasi, already the world's preeminent researcher on the science of networks, describes his work on this profound mystery in Bursts, a stunningly original investigation into human nature. His approach relies on the digital reality of our world, from mobile phones to the Internet and email, because it has turned society into a huge research laboratory. All those electronic trails of time stamped texts, voicemails, and internet searches add up to a previously unavailable massive data set of statistics that track our movements, our decisions, our lives. Analysis of these trails is offering deep insights into the rhythm of how we do everything. His finding? We work and fight and play in short flourishes of activity followed by next to nothing. The pattern isn't random, it's "bursty." Randomness does not rule our lives in the way scientists have assumed up until now. Illustrating this revolutionary science, Barabasi artfully weaves together the story of a 16th century burst of human activity-a bloody medieval crusade launched in his homeland, Transylvania-with the modern tale of a contemporary artist hunted by the FBI through our post 9/11 surveillance society. These narratives illustrate how predicting human behavior has long been the obsession, sometimes the duty, of those in power. Barabási's astonishingly wide range of examples from seemingly unrelated areas include how dollar bills move around the U.S., the pattern everyone follows in writing email, the spread of epidemics, and even the flight patterns of albatross. In all these phenomena a virtually identical, mathematically described bursty pattern emerges.Bursts reveals what this amazing new research is showing us about where individual spontaneity ends and predictability in human behavior begins. The way you think about your own potential to do something truly extraordinary will never be the same.
1089 and All That: A Journey into Mathematics
David Acheson - 2002
From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes us to chaos theory and imaginary numbers. Every short chapter is carefully crafted to ensure that no one will get lost on the journey. Packed with puzzles and illustrated by world famous cartoonists, this is one of the most readable and imaginative books on mathematics ever written.
To Be a Machine : Adventures Among Cyborgs, Utopians, Hackers, and the Futurists Solving the Modest Problem of Death
Mark O'Connell - 2017
It has found adherents in Silicon Valley billionaires Ray Kurzweil and Peter Diamandis. Google has entered the picture, establishing a bio-tech subsidiary aimed at solving the problem of aging.In To Be a Machine, journalist Mark O'Connell takes a headlong dive into this burgeoning movement. He travels to the laboratories, conferences, and basements of today's foremost transhumanists, where he's presented with the staggering possibilities and moral quandaries of new technologies like mind uploading, artificial superintelligence, cryonics, and device implants.A contributor to Slate, The New Yorker, and The New York Times Magazine, O'Connell serves as a sharp and lively guide to the outer limits of technology in the twenty first century. In investigating what it means to be a machine, he offers a surprising, singular meditation on what it means to be human."
What Is Life? with Mind and Matter and Autobiographical Sketches
Erwin Schrödinger - 1944
The book was based on a course of public lectures delivered by Schrödinger in February 1943 at Trinity College, Dublin. Schrödinger's lecture focused on one important question: "how can the events in space and time which take place within the spatial boundary of a living organism be accounted for by physics and chemistry?" In the book, Schrödinger introduced the idea of an "aperiodic crystal" that contained genetic information in its configuration of covalent chemical bonds. In the 1950s, this idea stimulated enthusiasm for discovering the genetic molecule and would give both Francis Crick and James Watson initial inspiration in their research.
Linear Algebra and Its Applications
Gilbert Strang - 1976
While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.
About Time: Einstein's Unfinished Revolution
Paul C.W. Davies - 1995
The eternal questions of science and religion were profoundly recast by Einstein's theory of relativity and its implications that time can be warped by motion and gravitation, and that it cannot be meaningfully divided into past, present, and future. In About Time, Paul Davies discusses the big bang theory, chaos theory, and the recent discovery that the universe appears to be younger than some of the objects in it, concluding that Einstein's theory provides only an incomplete understanding of the nature of time. Davies explores unanswered questions such as: * Does the universe have a beginning and an end? * Is the passage of time merely an illusion? * Is it possible to travel backward -- or forward -- in time? About Time weaves physics and metaphysics in a provocative contemplation of time and the universe.
Space Chronicles: Facing the Ultimate Frontier
Neil deGrasse Tyson - 2012
After decades of global primacy, NASA has ended the space-shuttle program, cutting off its access to space. No astronauts will be launched in an American craft, from American soil, until the 2020s, and NASA may soon find itself eclipsed by other countries’ space programs.With his signature wit and thought-provoking insights, Neil deGrasse Tyson—one of our foremost thinkers on all things space—illuminates the past, present, and future of space exploration and brilliantly reminds us why NASA matters now as much as ever. As Tyson reveals, exploring the space frontier can profoundly enrich many aspects of our daily lives, from education systems and the economy to national security and morale. For America to maintain its status as a global leader and a technological innovator, he explains, we must regain our enthusiasm and curiosity about what lies beyond our world.Provocative, humorous, and wonderfully readable, Space Chronicles represents the best of Tyson’s recent commentary, including a must-read prologue on NASA and partisan politics. Reflecting on topics that range from scientific literacy to space-travel missteps, Tyson gives us an urgent, clear-eyed, and ultimately inspiring vision for the future.
Calculus
Michael Spivak - 1967
His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.
Introduction to Electrodynamics
David J. Griffiths - 1981
This work offers accesible coverage of the fundamentals of electrodynamics, enhanced with with discussion points, examples and exercises.
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
John Martineau - 2010
It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.
Beyond Fear: Thinking Sensibly about Security in an Uncertain World
Bruce Schneier - 2003
Security is near the top of government and corporate agendas around the globe. Security-related stories appear on the front page everyday. How well though, do any of us truly understand what achieving real security involves?In Beyond Fear, Bruce Schneier invites us to take a critical look at not just the threats to our security, but the ways in which we're encouraged to think about security by law enforcement agencies, businesses of all shapes and sizes, and our national governments and militaries. Schneier believes we all can and should be better security consumers, and that the trade-offs we make in the name of security - in terms of cash outlays, taxes, inconvenience, and diminished freedoms - should be part of an ongoing negotiation in our personal, professional, and civic lives, and the subject of an open and informed national discussion.With a well-deserved reputation for original and sometimes iconoclastic thought, Schneier has a lot to say that is provocative, counter-intuitive, and just plain good sense. He explains in detail, for example, why we need to design security systems that don't just work well, but fail well, and why secrecy on the part of government often undermines security. He also believes, for instance, that national ID cards are an exceptionally bad idea: technically unsound, and even destructive of security. And, contrary to a lot of current nay-sayers, he thinks online shopping is fundamentally safe, and that many of the new airline security measure (though by no means all) are actually quite effective. A skeptic of much that's promised by highly touted technologies like biometrics, Schneier is also a refreshingly positive, problem-solving force in the often self-dramatizing and fear-mongering world of security pundits.Schneier helps the reader to understand the issues at stake, and how to best come to one's own conclusions, including the vast infrastructure we already have in place, and the vaster systems--some useful, others useless or worse--that we're being asked to submit to and pay for.Bruce Schneier is the author of seven books, including Applied Cryptography (which Wired called "the one book the National Security Agency wanted never to be published") and Secrets and Lies (described in Fortune as "startlingly lively...][a] jewel box of little surprises you can actually use."). He is also Founder and Chief Technology Officer of Counterpane Internet Security, Inc., and publishes Crypto-Gram, one of the most widely read newsletters in the field of online security.