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.

    For the calculus-based General Physics course primarily taken by engineers and scientists.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

     The Industrial Revolution which took place in Great Britain between the middle of the eighteenth century and the middle of the nineteenth transformed British industry and society and made Great Britain the most powerful nation in the world. The Industrial Revolution didn’t happen due to one, single factor but rather to a number of separate yet related developments which interacted to change the world profoundly and completely. Improvements in the production of iron allowed the construction of efficient, reliable steam engines. These steam engines were then used in the production of iron to improve the quality and quantity of iron production even further. Manufacturing became concentrated in factories filled with automated machinery while canals and improved roads allowed raw materials to be brought to these factories and for finished products to be distributed. Inside you will read about... ✓ Transport and the Rise of Global Trade ✓ The Iron Heart of the Industrial Revolution ✓ The Power of Steam ✓ The Lives of Workers during the Industrial Revolution ✓ The Rise of Labor Movements And much more! During the the Industrial Revolution, people became used to the availability of cheap, mass-produced items transported to the point of sale from other parts of the country or even other parts of the world. However, people also became used to living in large cities and working in factories and mills, often for meager wages and in dangerous and exhausting conditions. Progress made a small number of people very wealthy, but it also condemned a large portion of the British population to living and working in danger and squalor. Opposition to the Industrial Revolution came from skilled workers who saw their jobs being replaced by machines and from influential poets who deplored the loss of what they regarded as an idyllic, rural, agrarian way of life. This opposition was brutally repressed, and even those who tried to champion the rights of workers sometimes found themselves under attack by the British Army. The Industrial Revolution changed almost everything about the British way of life, and it spread from Great Britain to most of the developed countries of the world. This is the story of a revolution which continues to affect all of us in the modern world.

    Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    Now in paperback--the extraordinary New York Times bestselling guide packed with 2,000 time and money saving tips on everything from laundry to gardening, pet care to pest control, painting to plumbing--topped off with the unique Easy-Find index for finding answers fast.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Topics include the development of counting and numbers systems, the emergence of zero, cultures that don’t have numbers, algebra, solid geometry, symmetry and beauty, perspective, riddles and problems, calculus, mathematical logic, friction force and displacement, subatomic particles, and the expansion of the universe. Great mathematical thinkers covered include Napier, Liu Hui, Aryabhata, Galileo, Newton, Russell, Einstein, Riemann, Euclid, Carl Friedrich Gauss, Charles Babbage, Montmort, Wittgenstein, and many more. The book is beautifully illustrated throughout in full color.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.