Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    The author defines all terms, points out potential pitfalls in algebraic calculation, and makes problem solving a fun activity. New in this edition are painless approaches to understanding and graphing linear equations, solving systems of linear inequalities, and graphing quadratic equations. Barron’s popular Painless Series of study guides for middle school and high school students offer a lighthearted, often humorous approach to their subjects, transforming details that might once have seemed boring or difficult into a series of interesting and mentally challenging ideas. Most titles in the series feature many fun-to-solve “Brain Tickler” problems with answers at the end of each chapter.

    Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column?These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do.Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.

    It reveals a simplicity beneath the complex workings of the mind and the principles behind the creation of our life experience.

    You can’t buy it! The price is your own application of the seven existing laws.

    Maisel, Monk) calmly tells the tale of how the ancient Greeks formalized the study of mathematics based on Phoenician teachings. Bedtime stories are narrated by the world’s most celebrated voices and written with no beginning, middle, or end so you don’t stay up to hear what happens next. They're interesting enough to give your mind something to focus on, but delivered in a way that encourages sleep. This title is part of the Audible Sleep Collection, exclusive audio experiences created to invite relaxation and sleep. New and free for members.Public Domain (P)2020 Audible

    While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

    Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.

    But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.

    Every religion has angels, Sylvia tells us. Different from spirit guides, angels are spiritual messengers who are available to help us if we will simply ask for their assistance. Sylvia goes on to discuss the properties of angels; the true nature of God, good, evil, and the Other Side; and explains how we can overcome guilt, accept ourselves, and thereby understand our own particular “contract.” In the second half of the program, Sylvia leads a meditation that invokes the presence of our angels and individual spirit guides, and invites them to communicate with us. We feel their protection, receive their healing, and with Sylvia’s encouragement, learn how to ask them for the help we desire.

    We all hurt and need true, lasting healing. The trouble, according to bestselling author Andrew Farley and Bart Millard, lead singer of MercyMe, is that we don't know where to find it.Inspired by MercyMe's #1 hit song of the same name, The Hurt & The Healer reveals exactly how God can be the gentle healer of all our hurts. Writing from the pain they've experienced in their lives, Millard and Farley reveal how their own struggles caused them to feel they had disappointed God. Through their biblical guidance, readers will see that God wants them to be open and honest about their pain. Only then can they discover how to exchange destructive thinking patterns for God's view of them and watch as God's perfect love casts away all their fears.

    As they take on the management of their new employers’ majestic house, will the opportunities to create luscious food for the guests and explore rural France enable them to create a dream life? Or will French officialdom, family illness and a sudden career curveball send them hurrying home to New Zealand?Perfect for fans of Peter Mayle’s A Year in Provence, Janine Marsh’s My Good Life in France and Beth Haslam’s Fat Dogs and French Estates.

    Most of us have unfinished business that might make us feel like we walk around dragging a heavy ball with a chain connected to our ankle. When you declutter and possibly downsize, you can free yourself of weighty matters that tie you down physically, mentally, emotionally, and spiritually.Lighter Living explains why you might want to simplify your home and your life. It shows you how to declutter and then organize what you keep. Finally, you are given a vision for lifelong decluttering and how it can lead to well-being and peace of mind.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    Covert information warfare is being waged by world powers, rogue states—such as Russia, China, Iran, and North Korea—and even terrorist groups like ISIS. This conflict has been designed to defeat and ultimately destroy the United States. This new type of warfare is part of the Information Age that has come to dominate our lives. In iWar, Bill Gertz describes how technology has completely revolutionized modern warfare, how the Obama administration failed to meet this challenge, and what we can and must do to catch up and triumph over this timely and important struggle.