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Relativistic Cosmology by George Francis Rayner Ellis
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Time And Eternity: Exploring God's Relationship To Time
William Lane Craig - 2001
Craig has done a great work, and it is marvelous that now the philosophy of religion is engaging with the philosophy of science to the great benefit of both.--John R. LucasFellow of Merton College, Oxford University Time and Eternity offers a comprehensive discussion of the problems in the concepts of time and eternity on the basis of an extraordinary familiarity with a vast number of recent contributions to this issue from scientists and philosophers. The argument is subtle and precise. Particularly important are the sections on the impact of the different versions of relativity theory on the concept of time.... The book offers a plausible argument for a realistic conception of temporal process and for God's involvement in the temporal distinctions and processes because of His presence in His creation.--Wolfhart PannenbergProfessor of Systematic TheologyLudwig Maximilliens Universitaet-Muenchen, Germany As a scientist doing theoretical research in gravitational physics and quantum cosmology, I found Dr. Craig's thoughtful book highly interesting. He has carefully given arguments defending several different viewpoints for each of the many issues about time that he discusses, followed by critiques in which he emphasizes his own opinion. Reading Time and Eternity has forced me to develop better arguments for my own opinions (which differ considerably from Craig's).... I am certain that Time and Eternity will also stimulate your thinking about this fascinating subject and your appreciation for the God who created time as part of the marvelous universe He has given us.--Don N. PageProfessor of Physics and Fellow of the Cosmology and Gravitation Program of the Canadian Institute for Advanced ResearchUniversity of Alberta, Edmonton, Alberta, Canada William Lane Craig is one the leading philosophers of religion and one of the leading philosophers of time. In this book, he combines his expertise in these areas to produce an original, erudite, and accessible theory of time and God that will be of great interest to both the general public and scholars. It is a rewarding experience to read through this brilliant and well-researched book by one of the most learned and creative thinkers of our era.--Quentin SmithProfessor of Philosophy, Western Michigan University In Time and Eternity, William Lane Craig defends the remarkable conclusion that "God is timeless without creation and temporal since creation." Craig argues his case philosophically by carefully weighing evidence for and against divine temporality and personhood in light of dynamic versus static theories of time and their warrants, in turn, in a Lorentzian interpretation of special relativity and an objective, mind-independent theory of becoming, including fascinating excursions into Big Bang cosmology and the philosophy of mathematics. As the latest in his series of ground-breaking books, Time and Eternity summarizes and extends Craig's previous technical arguments and conveys them to a more general audience. It is a must-read for anyone seriously interested in the problem of time and eternity in Christian philosophy.--Robert RussellProfessor of Theology and ScienceGraduate Theological Union, Berkeley, Calif. The nature of time is a continuing source of puzzlement both to science and in everyday life. It is also an important issue in theological understandings of the nature of God. In this interesting book, Professor Craig tackles this complex set of topics in a clear way. His discussion of the interrelated scientific, philosophical, and theological issues clears up many previous misconceptions and proposes a plausible understanding of the relation of God to time and eternity that many will find helpful.--George EllisProfessor of Mathematics and Applied MathematicsUniversity of Capetown
Mathematics: Is God Silent?
James Nickel - 2001
The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.
Math Through the Ages: A Gentle History for Teachers and Others
William P. Berlinghoff - 2002
Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."
Day Trading Made Easy: A Simple Strategy for Day Trading Stocks
Matthew R. Kratter - 2017
Amazon best-selling author and professional trader, Matthew Kratter will teach you everything you need to know to day trade stocks-- and to avoid getting wiped out. And if you ever get stuck, you can always reach out to him by email (provided inside of the book), and he will help you. To start making money today, scroll to the top of this page and click BUY NOW.
A Student's Guide to Maxwell's Equations
Daniel Fleisch - 2007
In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Einstein's Theory of Relativity
Max Born - 1962
This is such a book. Max Born is a Nobel Laureate (1955) and one of the world's great physicists: in this book he analyzes and interprets the theory of Einsteinian relativity. The result is undoubtedly the most lucid and insightful of all the books that have been written to explain the revolutionary theory that marked the end of the classical and the beginning of the modern era of physics.The author follows a quasi-historical method of presentation. The book begins with a review of the classical physics, covering such topics as origins of space and time measurements, geometric axioms, Ptolemaic and Copernican astronomy, concepts of equilibrium and force, laws of motion, inertia, mass, momentum and energy, Newtonian world system (absolute space and absolute time, gravitation, celestial mechanics, centrifugal forces, and absolute space), laws of optics (the corpuscular and undulatory theories, speed of light, wave theory, Doppler effect, convection of light by matter), electrodynamics (including magnetic induction, electromagnetic theory of light, electromagnetic ether, electromagnetic laws of moving bodies, electromagnetic mass, and the contraction hypothesis). Born then takes up his exposition of Einstein's special and general theories of relativity, discussing the concept of simultaneity, kinematics, Einstein's mechanics and dynamics, relativity of arbitrary motions, the principle of equivalence, the geometry of curved surfaces, and the space-time continuum, among other topics. Born then points out some predictions of the theory of relativity and its implications for cosmology, and indicates what is being sought in the unified field theory.This account steers a middle course between vague popularizations and complex scientific presentations. This is a careful discussion of principles stated in thoroughly acceptable scientific form, yet in a manner that makes it possible for the reader who has no scientific training to understand it. Only high school algebra has been used in explaining the nature of classical physics and relativity, and simple experiments and diagrams are used to illustrate each step. The layman and the beginning student in physics will find this an immensely valuable and usable introduction to relativity. This Dover 1962 edition was greatly revised and enlarged by Dr. Born.
A Numerate Life: A Mathematician Explores the Vagaries of Life, His Own and Probably Yours
John Allen Paulos - 2015
These vignettes serve as springboards to many telling perspectives: simple arithmetic puts life-long habits in a dubious new light; higher dimensional geometry helps us see that we're all rather peculiar; nonlinear dynamics explains the narcissism of small differences cascading into very different siblings; logarithms and exponentials yield insight on why we tend to become bored and jaded as we age; and there are tricks and jokes, probability and coincidences, and much more.For fans of Paulos or newcomers to his work, this witty commentary on his life--and yours--is fascinating reading.From the Trade Paperback edition.
The Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser
Jason Rosenhouse - 2009
Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
Statistics Essentials for Dummies
Deborah J. Rumsey - 2010
Free of review and ramp-up material, Statistics Essentials For Dummies sticks to the point, with content focused on key course topics only. It provides discrete explanations of essential concepts taught in a typical first semester college-level statistics course, from odds and error margins to confidence intervals and conclusions. This guide is also a perfect reference for parents who need to review critical statistics concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
How to Destroy the Universe: and 34 Other Really Interesting Uses of Physics
Paul Parsons - 2011
How to Destroy the Universe embraces thirty-five key physics ideas in a way that anyone can understand. Read this book and you will discover how to reverse the effects of global warming and fend off killer asteroids. You'll learn essential survival skills such as how to live through a lightning strike and how to fall into a black hole without being turned into spaghetti. You'll discover how to turn lead into gold, how to travel to the centre of the Earth and how to use physics to predict the stock market. How to Destroy the Universe will make you see the world through fresh eyes.
Q.E.D.: Beauty in Mathematical Proof
Burkard Polster - 2004
presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.
Turing's Vision: The Birth of Computer Science
Chris Bernhardt - 2016
This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, -The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory.- Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.In the paper, -On Computable Numbers, with an Application to the Entscheidungsproblem, - Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.
Discrete Mathematical Structures with Applications to Computer Science
Jean-Paul Tremblay - 1975
Numerical Methods for Scientists and Engineers
Richard Hamming - 1973
Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.