Book picks similar to
The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications by Richard W. Kaye
logic-and-epistemology
mathematics
mmath
philosophy
The Abolition of Sanity: C.S. Lewis on the Consequences of Modernism
Steve Turley - 2019
Gödel, Escher, Bach: An Eternal Golden Braid
Douglas R. Hofstadter - 1979
However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
Journey of a Master: Swami Chinmayananda
Nancy Freeman Patchen - 1989
In telling the story of one master’s training and evolution in the Himalayas and his subsequent mission to his countrymen, the author enlightens you on the essence of India’s culture, philosophy and religion. His story will surely educate you, inspire you, and broaden your horizons of the meaning of life.The Swami spent five years in the Himalayas under the tutelage of two incredible Masters of live, as different as day and night. Although both were scholars of the scriptures, their manifestation was unique. One was an incredible streak of light and energy who traveled India teaching, then created a huge ashram center to serve all of humanity. The other was a quiet contemplative recluse who sang inspirational songs and taught only a few students.Swami Chinmayananda appeared on the scene at an appropriate time in Indian history. The British had just left the country with no one trained to take the helm of State. The British had taken all the top government positions. In addition, they had curtailed any industrial development; the Empire was about having consumers for British products. The Indians had lost their moorings: economically, spiritually and personally. To these countrymen, beaten down by 150 years of British rule, repression and slavery, the Swami gave a message of hope. He worked relentlessly for about 40 years to bring about a spiritual revival in India and abroad. His unique style and logical approach was appreciated by everyone from college students to bankers to priests—both Hindu and Christian.By teaching directly the wisdom of their ancient scriptures, he gave the listeners confidence and inspiration to move forward in business and in creating charitable endeavors for the uplifting of the downtrodden of the country. Through 200 centers in India, his devotees have built and operate schools, hospitals and clinics, nursing homes, retirement homes and training centers for nurses and teachers, as well as spiritual training centers.This story of the legacy of one of the most influential persons in the modern history of Hinduism is sure to surprise you, amaze you—and inspire you.
Differential Geometry
Erwin Kreyszig - 1991
With problems and solutions. Includes 99 illustrations.
Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math
Alex Bellos - 2010
But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.
When Einstein Walked with Gödel: Excursions to the Edge of Thought
Jim Holt - 2018
With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.
Journey through Genius: The Great Theorems of Mathematics
William Dunham - 1990
Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.
Universal Compassion: Transforming Your Life Through Love and Compassion
Kelsang Gyatso - 1988
In this inspired explanation of the popular Buddhist poem "Training the Mind in Seven Points," Geshe Kelsang reveals powerful and far-reaching methods for us to develop these altruistic states. Ancient meditative techniques that have been tried and tested for centuries are brought alive and made relevant to our everyday experiences. Also included is a practical and uplifting explanation of how we can transform our day-to-day living--including even the most demanding and difficult conditions--into opportunities for personal and spiritual development. By pointing the way to an unchanging freedom and happiness, this immensely readable book challenges us to grow, and will have a remarkable impact on our life.
Hospice Whispers: Stories of Life (Hospice Whispers Series Book 1)
Carla Cheatham - 2014
This book hopes to change that. While hospices care for persons in their final days, hospice is not about death. It’s all about LIFE—real, nitty-gritty, poignant, funny, challenging, and bittersweet life in all its beauty and imperfection. Those who have experienced hospice usually speak in reverential tones of this service and find themselves fearing death less because they have seen all the incredible life that happens until the final moment. But those unfamiliar with hospice often misunderstand and fear it, and the end of life. Through first-hand accounts that range from humorous to heart-wrenchingly honest, Carla shares the stories that continue to teach her the lessons of what it means to be truly present with ourselves and each other in this perfectly imperfect experience called life.
Wayfinding - Food and Fitness
Hugh Howey - 2015
This work is the result of those requests. It is full of controversial claims, so be warned. I truly believe that if people follow the handful of principles in this short read, they will improve their health and change their lives.
Almighty: A Short Tale of Omnipotent Proportions
Justine Avery - 2014
It's a Tuesday.Bradley Michaels is just another man ending just another workday at just another job. He can list the usual complaints, can point his finger at the usual causes, and he can go about his routine as if one day is absolutely no different from the next. Until God himself just shows up uninvited and shakes up Bradley's entire existence by flaunting his own. It's not fair, but Bradley never claimed life is. And he tries to handle the new, omniscient presence in his head with calm attention and cool collectedness. But God happens to be a bit of a kid. He likes to joke, to prod, to stir things up. And what God sets his mind to, God succeeds at. Just as Bradley believes he's got life all figured out, God has to throw a wrench into it. But not at all in the way that Bradley—or you—can expect.
Just when you think life is going according to plan, you find out your plan sucks. And it's time for a new one.
The Sister Souljah Reader's Companion: A Collection of Excerpts
Sister Souljah - 2013
A collection of free excerpts from Sister Souljah’s books.
The Complete Idiot's Guide to Game Theory
Edward C. Rosenthal - 2005
It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into:? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind? The role of social behavior and psychology in this amazing discipline? How important game theory has become in our society and why
Bayes' Rule: A Tutorial Introduction to Bayesian Analysis
James V. Stone - 2013
Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
Paul J. Nahin - 2006
Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.