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Paradoxes and Sophisms in Calculus offers a delightful supplementary resource to enhance the study of single variable calculus. By the word paradox the [Author];s mean a surprising, unexpected, counter-intuitive statement that looks invalid, but in fact is true. The word sophism describes intentionally invalid reasoning that looks formally correct, but in fact contains a subtle mistake or flaw. In other words, a sophism is a false proof of an incorrect statement. A collection of over fifty paradoxes and sophisms showcases the subtleties of this subject and leads students to contemplate the underlying concepts. A number of the examples treat historically significant issues that arose in the development of calculus, while others more naturally challenge readers to understand common misconceptions. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored.
This unique book makes solving problems and puzzles a game and fun. It contains about 100 non-standard puzzles and games, which can be solved by asking an unlimited number of yes/no questions. This new approach how to developing and mastering your critical thinking and problem-solving skills does not require any specific knowledge of science, mathematics, physics, chemistry, etc. Most problems are new and some are inspired by well-known problems, but formulated in a new form. Additionally, the book includes some jokes, visual exercises, funny tests, and over 50 color illustrations that make it enjoyable to read and play games with your friends or with family, during parties, or in class for educational purposes. Thus, the book is the best gift for children and adults. Note that there is one last section with problems suitable only for adults. This book is written in a fashion that is easy to understand. The author is a well-known scientist, inventor, educator, and entrepreneur, who himself has used the technique described in the text to his benefit.
This unique book makes solving problems and puzzles a game and fun. It contains about 100 non-standard puzzles and games, which can be solved by asking an unlimited number of yes/no questions. This new approach how to developing and mastering your critical thinking and problem-solving skills does not require any specific knowledge of science, mathematics, physics, chemistry, etc. Most problems are new and some are inspired by well-known problems, but formulated in a new form. Additionally, the book includes some jokes, visual exercises, funny tests, and over 50 color illustrations that make it enjoyable to read and play games with your friends or with family, during parties, or in class for educational purposes. Thus, the book is the best gift for children and adults. This book is written in a fashion that is easy to understand. The author is a well-known scientist, inventor, educator, and entrepreneur, who himself has used the technique described in the text to his benefit.
From Simon & Schuster, This Book Needs No Title is Raymond Smullyan's budget of living paradoxes—the author of What is the Name of This Book? Including eighty paradoxes, logical labyrinths, and intriguing enigmas progress from light fables and fancies to challenging Zen exercises and a novella and probe the timeless questions of philosophy and life.
A reprint of the Bobbs-Merrill edition of 1970. These essays lead the reader through the land of the wonderful shrinking genie to the warehouse where the infinity machines are kept. By careful examination of a lamp that is switched on and off infinitely many times, or the workings of a machine that prints out an infinite decimal expansion of pi, we begin to understand how it is possible for Achilles to overtake the tortoise. The concepts that form the basis of modern science---space, time, motion, change, infinity---are examined and explored in this edition. Includes an updated bibliography.
English language edition.