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.

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    Working with imaginative and often hilarious computer simulations, he analyzes the roots of catastrophe, showing city planners in the very act of creating gridlock and disaster, or public health authorities setting the scene for starvation. The Logic of Failure is a compass for intelligent planning and decision-making that can sharpen the skills of managers, policymakers and everyone involved in the daily challenge of getting from point A to point B.

    Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.

    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.

    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.

    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.

    Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars.  The chapter on general relativity with new material on gravity waves, black holes, and cosmology.

    This is the paperback edition of Shah's companion volume to the The Commanding Self, wherein he sets out to illuminate the barriers which prevent deeper knowledge and understanding.

    But Tao cannot fully be explained in words; it can only felt and experienced. Tao is something you live, day by day, moment by moment. It s the omnipresent oneness beyond ephemeral phenomena that expresses itself in everything. New York Times bestselling author Ilchi Lee, an enlightened Tao master from South Korea, has laid out a path to living Tao everyday. Along this path, he guides you to an understanding of the meaning of birth, death, and everything in between, building a foundation for living a complete and whole life. The universal principles contained in "Living Tao: Timeless Principles for Everyday Enlightenment" stem from the Korean practice of Sundo, an ancient tradition of mind-body training, as well as Lee s own life experience. With these tangible principles, Ilchi Lee makes this profound topic simple and accessible. "Living Tao" has an unparalleled depth in its simplicity that anyone can absorb and immediately apply. * 2015 INDIEFAB Book of the Year Award Winner, Bronze, Body, Mind & Spirit"

    Features exceptionally clear explanations and descriptions, step-by-step examples, more than 50 practical applications, over 2000 easy-to-challenging practice problems, and comprehensive coverage of essentials. PSpice, OrCAd version 9.2 Lite Edition, Multisims 2001 version of Electronics Workbench, and MathCad software references and examples are used throughout. Computer programs (C++, BASIC and PSpice) are printed in color, as they run, at the point in the book where they are discussed. Current and Voltage. Resistance. Ohm's Law, Power, and Energy. Series Circuits. Parallel Circuits. Series-Parallel Networks. Methods of Analysis & Selected Topics. Network Theorems. Capacitors. Magnetic Circuits. Inductors. Sinusodial Alternating Waveforms. The Basic Elements and Phasors. Series and Parallel ac Circuits. Series-Parallel ac Networks. Methods of Analysis and Related Topics. Network Theorems (ac). Power (ac). Resonance. Transformers. Polyphase Systems. Decibels, Filters, and Bode Points. Pulse Waveforms and the R-C Response. Nonsinusodial Circuits. System Analysis: An Introduction. For those working in electronic technology.

    Though he never wrote down his thoughts, he had a brilliant pupil in Plato, who immortalized his teacher's legacy in 35 timeless dialogues that laid the philosophical basis for Western civilization.Professor Michael Sugrue of Princeton University brings the Socratic quest for truth alive in these lectures, which discuss ideas that are as vital today as they were 25 centuries ago. Ideas about truth, justice, love, beauty, courage, and wisdom. Ideas that can change lives and reveal the world in new ways to the true student.Professor Sugrue reveals the inner structure, action, and meaning of 17 of Plato's greatest dialogues, making this course an indispensable companion for anyone interested in philosophy in general or Platonic thought in particular.

    Each essay gives a biographical background for its subject and a description of the main strands of their thought, together with summaries of their major works.The thirty-four chronologically-organized essays are a comprehensive introduction to Western philosophy's major figures.Dr Jeremy Stangroom is a founding editor of The Philosophers' Magazine, one of the world's most popular philosophy publications. He has written and/or edited numerous books, including: New British Philosophy, What Philosophers Think and Great Thinkers A-Z (all with Julian Baggini); The Dictionary of Fashionable Nonsense and Why Truth Matters (with Ophelia Benson); and What Scientists Think. He is a frequent contributor to New Humanist magazine, and he is also the editor of the Royal Institute of Philosophy web site.James Garvey teaches philosophy at the University of Nottingham and is Secretary of the Royal Institute of Philosophy.

    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.

    This question is central to all the great religions, Kreeft demonstrates, for striving toward holiness, moving toward perfect love, is the whole purpose of life.Kreeft admits that he is only a beginner on the climb to holiness, and it is to novices like him that he has written this engaging and encouraging book. Using the insights and experiences of saints and great spiritual writers throughout history, Kreeft shows what holiness is and how it can be achieved. He especially draws upon the spiritual classic Abandonment to Divine Providence by Jean-Pierre de Caussade, S.J. The core of Caussade's timeless gem is that God reveals himself to all of us through the daily events of our lives. The surest way toward spiritual growth, therefore, is by perceiving and accepting the merciful will of God in every situation.Kreeft stresses the simplicity of his approach to holiness, which focuses mainly on the virtue of love. Sanctity is love, he asserts, and only that can give us what we all long for—deep and lasting joy.