Book picks similar to
A Manual of Greek Mathematics by Thomas Little Heath
mathematics
history
math
science
Einstein's Miraculous Year
John J. Stachel - 1998
In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.
Finding Beauty in a Broken World
Terry Tempest Williams - 2008
Always an impassioned and far-sighted advocate for a just relationship between the natural world and humankind, Williams has broadened her concerns over the past several years to include a reconfiguration of family and community in her search for a deeper understanding of what it means to be human in an era of physical and spiritual fragmentation. Williams begins in Ravenna, Italy, where "jeweled ceilings became lavish tales" through the art of mosaic. She discovers that mosaic is not just an art form but a form of integration, and when she returns to the American Southwest, her physical and spiritual home, and observes a clan of prairie dogs on the brink of extinction, she apprehends an ecological mosaic created by a remarkable species in the sagebrush steppes of the Colorado Plateau. And, finally, Williams travels to a small village in Rwanda, where, along with fellow artists, she joins survivors of the 1994 genocide and builds a memorial literally from the rubble of war, an act that becomes a spark for social change and healing. A singular meditation on how the natural and human worlds both collide and connect in violence and beauty, this is a work of uncommon perceptions that dares to find intersections between arrogance and empathy, tumult and peace, constructing a narrative of hopeful acts by taking that which is broken and creating something whole.
A Mathematical Introduction to Logic
Herbert B. Enderton - 1972
The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.
The Data Detective: Ten Easy Rules to Make Sense of Statistics
Tim Harford - 2020
That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.
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.
Ancient Post-Flood History
Ken Johnson - 2010
This can be used as a companion guide in the study of Creation science. This revised edition adds the background history of nine new countries. Learn the true origins of the countries and people of France, Germany, Denmark, Sweden, Ireland, Scotland, Greece, Italy, Russia, Egypt, Israel, Iraq, Iran, China, the Arabs, the Kurds, and more. Some questions answered: Who were the Pharaohs in the times of Joseph and Moses? When did the famine of Joseph occur? What Egyptian documents mention these? When did the Exodus take place? When did the kings of Egypt start being called "Pharaoh" and why? Who was the first king of a united Italy? Who was Zeus and where was he buried? Where did Shem and Ham rule and where were they buried? How large was Nimrod's invasion force that set up the Babylonian Empire, and when did this invasion occur? What is Nimrod's name in Persian documents? How can we use this information to witness to unbelievers? Brought to you by Biblefacts Ministries, Biblefacts.org
Forgotten English
Jeffrey Kacirk - 1997
These words are alive and well, however, in Forgotten English, a charming collection of hundreds of archaic words, their definitions, and old-fashioned line drawings.For readers of Bill Bryson, Henry Beard, and Richard Lederer, Forgotten English is an eye-opening trip down a delightful etymological path. Readers learn that an ale connor sat in a puddle of ale to judge its quality, that a beemaster informed bees of any important household events, and that our ancestors had a saint for hangover sufferers, St. Bibiana, a fact pertinent to the word bibulous. Each selection is accompanied by literary excerpts demonstrating the word's usage, from sources such as Shakespeare, Dickens, Chaucer, and Benjamin Franklin. Entertaining as well as educational, Forgotten English is a fascinating addition to word lovers' books.
From Aristocracy to Monarchy to Democracy: A Tale of Moral and Economic Folly and Decay
Hans-Hermann Hoppe - 2014
While the state is an evil in all its forms, monarchy is, in many ways, far less pernicious than democracy. Hoppe shows the evolution of government away from aristocracy, through monarchy, and toward the corruption and irresponsibility of democracy to have been identical with the growth of the leviathan state. There is hope for liberty, as Hoppe explains, but it lies not in reversing these steps, but rather through secession and decentralization. This pocket-sized, eye-opening pamphlet is ideal for tabling, conferences, or sharing with friends. It can revolutionize the way a reader sees society and the state.
If you want to learn Early African History START HERE (Reklaw Education Lecture Series)
Robin Oliver Walker - 2011
Moreover, the achievements of the early people of Africa are as amazing and inspiring as the achievements of any other people.This history is much older than the Trans-Atlantic Slave Trade.The author introduces his readers to the early civilizations of Africa that existed long before the coming of the Europeans. Among these were the Songhai Empire, the Benin Empire, the Kanem-Borno Empire, the Monomotapa Empire, the Swahili Confederation, the Medieval Nubian kingdoms and the Axumite Empire.The author also introduces the ancient civilizations of Africa particularly those of the Nile Valley such as Nubia and Ancient Egypt.The book is illustrated with 18 images and maps. Finally, the book recommends other books for more in depth study.
Book of Proof
Richard Hammack - 2009
It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
The Story of Us
Tim Urban - 2019
I’m Tim. I’m a single cell in society’s body. U.S. society, to be specific.So let me explain why we’re here.As a writer and a generally thinky person, I’ve spent a lot of my life thinking about the society I live in, and societies in general. I’ve always imagined society as a kind of giant human—a living organism like each of us, only much bigger.When you’re a single cell in the body of a giant, it’s hard to understand what the giant’s doing, or why it is the way it is, because you can’t really zoom out and look at the whole thing all at once. But we do our best.The thing is, when I’ve recently tried to imagine what society might look like, I haven’t really been picturing this:Giant stick figure: "I am grown up."Based on what I see around me, in person and online, it seems like my society is actually more like this:Giant stick figure throwing a giant tantrum because their chocolate ice cream fell on the ground.Individual humans grow older as they age—but it kind of seems like the giant human I live in has been getting more childish each year that goes by.So I decided to write a blog post about this. But then something else happened.When I told people I was planning to write a post about society, and the way people are acting, and the way the media is acting, and the way the government is acting, and the way everyone else is acting, people kept saying the same thing to me.Don’t do it. Don’t touch it. Write about something else. Anything else. It’s just not worth it.They were right. With so many non-controversial topics to write about, why take on something so loaded and risk alienating a ton of readers? I listened to people’s warnings, and I thought about moving on to something else, but then I was like, “Wait what? I live inside a giant and the giant is having a six-year-old meltdown in the grocery store candy section and that’s a not-okay thing for me to talk about?”It hit me that what I really needed to write about was that—about why it’s perilous to write about society."
From a Logical Point of View: Nine Logico-Philosophical Essays
Willard Van Orman Quine - 1953
At the same time adjacent portions of philosophy and logic are discussed. To the existence of what objects may a given scientific theory be said to be committed? And what considerations may suitably guide us in accepting or revising such ontological commitments? These are among the questions dealt with in this book, particular attention being devoted to the role of abstract entities in mathematics. There is speculation on the mechanism whereby objects of one sort or another come to be posited a process in which the notion of identity plays an important part."This volume of essays has a unity and bears throughout the imprint of Quine's powerful and original mind. It is written with the felicity in the choice of words which makes everything that Quine writes a pleasure to read, and which ranks him among the best contemporary writers on abstract subjects." (Cambridge Review)"Professor Quine's challenging and original views are here for the first time presented as a unity. The chief merit of the book is the heart-searching from which it arose and to which it will give rise. In vigour, conciseness, and clarity, it is characteristic of its author." (Oxford Magazine)