Book picks similar to
From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory by Jean-Pierre Marquis
mathematics
category-theory
philosophy
math
Ultrasociety: How 10,000 Years of War Made Humans the Greatest Cooperators on Earth
Peter Turchin - 2015
From stone-age assassins to the orbiting cathedrals of the space age, from bloodthirsty god-kings to India’s first vegetarian emperor, discover the secret history of our species—and the evolutionary logic that governed it all.
The Road since Structure: Philosophical Essays, 1970-1993, with an Autobiographical Interview
Thomas S. Kuhn - 1993
The Road Since Structure, assembled with Kuhn's input before his death in 1996, follows the development of his thought through the later years of his life: collected here are several essays extending and rethinking the perspectives of Structure as well as an extensive, fascinating autobiographical interview in which Kuhn discusses the course of his life and philosophy.
Science and Method
Henri Poincaré - 1908
Drawing on examples from many fields, it explains how scientists analyze and choose their working facts, and it explores the nature of experimentation, theory, and the mind. 1914 edition.
Introducing Relativity: A Graphic Guide
Bruce Bassett - 2002
Beginning near the speed of light and proceeding to explorations of space-time and curved spaces, "Introducing Relativity" plots a visually accessible course through the thought experiments that have given shape to contemporary physics. Scientists from Newton to Hawking add their unique contributions to this story, as we encounter Einstein's astounding vision of gravity as the curvature of space-time and arrive at the breathtakingly beautiful field equations. Einstein's legacy is reviewed in the most advanced frontiers of physics today - black holes, gravitational waves, the accelerating universe and string theory. This is a superlative, fascinating graphic account of Einstein's strange world and how his legacy has been built upon since.
A Beautiful Question: Finding Nature's Deep Design
Frank Wilczek - 2015
Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.
Speakable and Unspeakable in Quantum Mechanics
John Stewart Bell - 1987
This work has played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book contains all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics.
The Big Questions: Ethics
Julian Baggini - 2012
In 'The Big Questions: Ethics' Julian Baggini, one of Britain's best-known philosophers, condenses complex, contemporary issues of right and wrong into 20 key questions. He examines how we can start to answer them, what they might mean to us and how they influence the way we choose to live our lives. Among the ideas debated are: What is free will? Can it ever be right to kill? Is terrorism ever justified? Should euthanasia be legal? Are some people superior to others? Do animals have rights?
Student Solutions Manual for Contemporary Abstract Algebra
Joseph A. Gallian - 2009
Contains complete worked solutions to all regular exercises and computer exercises in the text; additional test questions and their solutions; an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key; and links on the author's website to true/false questions, flash cards, essays, software downloads, and other abstract algebra-related materials.
How to Build a Brain and 34 Other Really Interesting Uses of Maths
Richard Elwes - 2010
You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.
Social Chemistry: Decoding the Elements of Human Connection
Marissa King - 2021
Are you an Expansionist, a Broker, or a Convener? The answer matters more than you think. . . . Yale professor Marissa King shows how anyone can build more meaningful and productive relationships based on insights from neuroscience, psychology, and network analytics. Conventional wisdom says it's the size of your network that matters, but social science research has proven there is more to it. King explains that the quality and structure of our relationships has the greatest impact on our personal and professional lives. As she shows, there are three basic types of networks, so readers can see the role they are already playing: Expansionist, Broker, or Convener. This network decoder enables readers to own their network style and modify it for better alignment with their life plans and values. High-quality connections in your social network strongly predict cognitive functioning, emotional resilience, and satisfaction at work. A well-structured network is likely to boost the quality of your ideas, as well as your pay. Beyond the office, social connections are the lifeblood of our health and happiness. The compiled results from dozens of previous studies found that our social relationships have an effect on our likelihood of dying prematurely—equivalent to obesity or smoking. Rich stories of Expansionists like Vernon Jordan, Brokers like Yo-Yo Ma, and Conveners like Anna Wintour, as well as personal experiences from King's own world of connections, inform this warm, engaging, revelatory investigation into some of the most consequential decisions we can make about the trajectory of our lives.
On the Origin of Tepees: The Evolution of Ideas (and Ourselves)
Jonnie Hughes - 2011
Perhaps ideas have us. After all, ideas do appear to have a life of their own. And it is they, not us, that benefit most when they are spread. Many biologists have already come to the opinion that our genes are selfish entities, tricking us into helping them to reproduce. Is it the same with our ideas? Jonnie Hughes, a science writer and documentary filmmaker, investigates the evolution of ideas in order to find out. Adopting the role of a cultural Charles Darwin, Hughes heads off, with his brother in tow, across the Midwest to observe firsthand the natural history of ideas—the patterns of their variation, inheritance, and selection in the cultural landscape. In place of Darwin’s oceanic islands, Hughes visits the “mind islands” of Native American tribes. Instead of finches, Hughes searches for signs of natural selection among the tepees. With a knack for finding the humor in the quirks of the American cultural landscape, Hughes takes us on a tour from the Mall of America in Minneapolis to what he calls the “maul” of America—Custer’s last stand—stopping at road-sides and discoursing on sandwiches, the shape of cowboy hats, the evolution of barn roofs, the wording of jokes, the wearing of moustaches, and, of course, the telling features from tepees of different tribes. Original, witty, and engaging, On the Origin of Tepees offers a fresh way of understanding both our ideas and ourselves.
Mathematics and Its History
John Stillwell - 1997
Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.
The Next Decade: What the World Will Look Like
George Friedman - 2011
The next ten years will be a time of massive transition. The wars in the Islamic world will be subsiding, and terrorism will become something we learn to live with. China will be encountering its crisis. We will be moving from a time when financial crises dominate the world to a time when labor shortages will begin to dominate. The new century will be taking shape in the next decade. In The Next Decade, George Friedman offers readers a provocative and endlessly fascinating prognosis for the immediate future. Using Machiavelli’s The Prince as a model, Friedman focuses on the world’s leaders—particularly the American president—and with his trusted geopolitical insight analyzes the complex chess game they will all have to play. The book also asks how to be a good president in a decade of extraordinary challenge, and puts the world’s leaders under a microscope to explain how they will arrive at the decisions they will make—and the consequences these actions will have for us all.From the Hardcover edition.
Unknown Quantity: A Real and Imaginary History of Algebra
John Derbyshire - 2006
As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.
BUNKER 1945 - The Last Ten Days of ADOLF HITLER
Christian Shakespeare - 2019
Twenty-two years later, he did. April 1945 – Berlin. The world had been at war for more than five-and-a-half years – approximately seventy million people were dead across the globe. The epicentre of the twelve-year-old Third Reich was now surrounded, enveloped by bitter Soviet forces hardened by Nazi barbarity in the east over the last four years. As the buildings were blasted into rubble, pounded by Russian guns and bombs, before their troops and tanks, Hitler was hunkered down in his last headquarters – the dark and damp bunker under the Reich Chancellery. As the Third Reich began to crumble as fast as the city’s buildings, what was the state of mind of the tyrant? Only his closest and fanatical allies saw the collapse, none more so than Hitler’s servants, Otto Gunsche and Heinz Linge – two individuals which witnessed the final act of their regime. An act tinged over the last ten days in late April with selfish betrayal, increasingly forlorn hope, pleas, desperation and eventually suicide. As the Soviets closed in with impending vigour, in the concrete tomb below ground and under the thunderous booms of the petrifying battle for Berlin, the mind of the dictator disintegrated into drugs, delusion and a determination to die. Not by the enemy bullet but one of his own. This is the story of the people who held a unique place in world history – the ones who were there when the nightmare of Nazism and the horrors which accompanied it was finally banished as a dark chapter in the story of the human race.