Book picks similar to
Singularities and Groups in Bifurcation Theory: Volume II by Martin Golubitsky
mathematics
dynamical-systems-nonlinear
equations
differential
Last Chance to See
Douglas Adams - 1990
Join author Douglas Adams and zoologist Mark Carwardine as they take off around the world in search of exotic, endangered creatures.
Quantum Computing Since Democritus
Scott Aaronson - 2013
Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.
The Numbers Game: The Commonsense Guide to Understanding Numbers in the News, in Politics, and in Life
Michael Blastland - 2008
Drawing on their hugely popular BBC Radio 4 show More or Less,, journalist Michael Blastland and internationally known economist Andrew Dilnot delight, amuse, and convert American mathphobes by showing how our everyday experiences make sense of numbers. The radical premise of The Numbers Game is to show how much we already know, and give practical ways to use our knowledge to become cannier consumers of the media. In each concise chapter, the authors take on a different theme—such as size, chance, averages, targets, risk, measurement, and data—and present it as a memorable and entertaining story. If you’ve ever wondered what “average” really means, whether the scare stories about cancer risk should convince you to change your behavior, or whether a story you read in the paper is biased (and how), you need this book. Blastland and Dilnot show how to survive and thrive on the torrent of numbers that pours through everyday life. It’s the essential guide to every cause you love or hate, and every issue you follow, in the language everyone uses.
The Worst Person in the World: And 202 Strong Contenders
Keith Olbermann - 2006
A key feature of the program is his daily award for "The Worst Person in the World." From Ann Coulter and Barbara Bush to Bill O'Reilly and more, he brings the best of his "worsts" together in a wildly entertaining collection that reveals just how twisted people can be-and how much fun it is to call them out on it.
The Virtue of Selfishness: A New Concept of Egoism
Ayn Rand - 1961
Ayn Rand here sets forth the moral principles of Objectivism, the philosophy that holds human life--the life proper to a rational being--as the standard of moral values and regards altruism as incompatible with man's nature, with the creative requirements of his survival, and with a free society.
Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life
Albert-László Barabási - 2002
Albert-László Barabási, the nation’s foremost expert in the new science of networks and author of Bursts, takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos–Rényi model brought the discovery of chaos theory to the general public, Linked tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabási–Albert model.
Proofs and Refutations: The Logic of Mathematical Discovery
Imre Lakatos - 1976
Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.
The Book of Mormon: A Very Short Introduction
Terryl L. Givens - 2009
Written by Terryl Givens, a leading authority on Mormonism, this compact volume offers the only concise, accessible introduction to this extraordinary work.Givens examines the Book of Mormon first and foremost in terms of the claims that its narrators make for its historical genesis, its purpose as a sacred text, and its meaning for an audience which shifts over the course of the history it unfolds. The author traces five governing themes in particular--revelation, Christ, Zion, scripture, and covenant--and analyzes the Book's central doctrines and teachings. Some of these resonate with familiar nineteenth-century religious preoccupations; others consist of radical and unexpected takes on topics from the fall of Man to Christ's mortal ministries and the meaning of atonement. Givens also provides samples of a cast of characters that number in the hundreds, and analyzes representative passages from a work that encompasses tragedy, poetry, sermons, visions, family histories and military chronicles. Finally, this introduction surveys the contested origins and production of a work held by millions to be scripture, and reviews the scholarly debates that address questions of the record's historicity.Here then is an accessible guide to what is, by any measure, an indispensable key to understanding Mormonism. But it is also an introduction to a compelling and complex text that is too often overshadowed by the controversies that surround it.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
The Infinity Puzzle: Quantum Field Theory and the Hunt for an Orderly Universe
Frank Close - 2011
If found, the Higgs boson would help explain why everything has mass. But there’s more at stake—what we’re really testing is our capacity to make the universe reasonable. Our best understanding of physics is predicated on something known as quantum field theory. Unfortunately, in its raw form, it doesn’t make sense—its outputs are physically impossible infinite percentages when they should be something simpler, like the number 1. The kind of physics that the Higgs boson represents seeks to “renormalize” field theory, forcing equations to provide answers that match what we see in the real world.The Infinity Puzzle is the story of a wild idea on the road to acceptance. Only Close can tell it.
The Logical Leap: Induction in Physics
David Harriman - 2010
Inspired by and expanding on a series of lectures presented by Leonard Peikoff, David Harriman presents a fascinating answer to the problem of induction-the epistemological question of how we can know the truth of inductive generalizations.Ayn Rand presented her revolutionary theory of concepts in her book Introduction to Objectivist Epistemology. As Dr. Peikoff subsequently explored the concept of induction, he sought out David Harriman, a physicist who had taught philosophy, for his expert knowledge of the scientific discovery process.Here, Harriman presents the result of a collaboration between scientist and philosopher. Beginning with a detailed discussion of the role of mathematics and experimentation in validating generalizations in physics-looking closely at the reasoning of scientists such as Galileo, Kepler, Newton, Lavoisier, and Maxwell-Harriman skillfully argues that the inductive method used in philosophy is in principle indistinguishable from the method used in physics.
A First Course in String Theory
Barton Zwiebach - 2004
The first part deals with basic ideas, reviewing special relativity and electromagnetism while introducing the concept of extra dimensions. D-branes and the classical dynamics of relativistic strings are discussed next, and the quantization of open and closed bosonic strings in the light-cone gauge, along with a brief introduction to superstrings. The second part begins with a detailed study of D-branes followed by string thermodynamics. It discusses possible physical applications, and covers T-duality of open and closed strings, electromagnetic fields on D-branes, Born/Infeld electrodynamics, covariant string quantization and string interactions. Primarily aimed as a textbook for advanced undergraduate and beginning graduate courses, it will also be ideal for a wide range of scientists and mathematicians who are curious about string theory.
The Meaning of Relativity
Albert Einstein - 1922
These four lectures constituted an overview of his then-controversial theory of relativity. Princeton University Press made the lectures available under the title The Meaning of Relativity, the first book by Einstein to be produced by an American publisher. As subsequent editions were brought out by the Press, Einstein included new material amplifying the theory. A revised version of the appendix Relativistic Theory of the Non-Symmetric Field, added to the posthumous edition of 1956, was Einstein's last scientific paper.-- "Physics Today"
Games Indians Play: Why We Are the Way We Are
V. Raghunathan - 2006
Raghunathan uses the props of game theory and behavioural economics to provide an insight into the difficult conundrum of why we are the way we are. He puts under the scanner our attitudes towards rationality and irrationality, selflessness and selfishness, competition and cooperation, and collaboration and deception. Drawing examples from the way we behave in day-to-day situations, Games Indians Play tries to show how in the long run each one of us—whether businessmen, politicians, bureaucrats, or just plain us—stand to profit more if we were to assume a little self-regulation, give fairness a chance and strive to cooperate and collaborate a little more even if self-interests were to be our main driving force.
A New Kind of Science
Stephen Wolfram - 1997
Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton
Elementary Differential Equations And Boundary Value Problems
William E. Boyce - 1996
Clear explanations are detailed with many current examples.