Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    But when she gets terrible news that takes her back her uncle’s home there she finds that the town isn’t as innocent as her childhood memories would have her believe. Strange things start to happen in the old house and soon enough Cassie is forced to deal with some hard truths.

    

    When she finds an orphaned girl, Sam, hidden in some bushes along the Rogue River, in an instant, a bond is formed. AJ quickly learns that Sam's and her guardian's lives are in danger from a team of hired killers. But AJ commits to helping eight-year-old Sam. A competitive athlete, AJ Scott isn't one to quit, give up, or do anything halfway, not even when she and Sam end up in a road race with killers in pursuit.When Hunter Jones's cousin dies, he becomes eight-year-old Samantha Wilson's guardian and sets aside any pursuit of personal happiness. Sam becomes his lot in life, and he loves her dearly. But Hunter, a big data analyst, will soon release a research report proving that the largest Internet search engine in the world is being used by its owners to influence American political thought with the intent of controlling elections. He hints at his findings in a radio interview and the news goes viral. Within hours, a team of hired killers attacks Hunter and Sam, intending to eliminate them and steal his research findings. Hunter hides Sam and eludes the killers. But when he returns, Sam is gone. Enraged, Hunter Jones will storm the gates of Hades to get her back, and whoever took her will pay a steep price.Set in Southern Oregon, Seattle, Washington DC, and Eastern Oregon, near Paulina Lake, Slanted is a gritty, high-action, romantic suspense adventure about commitment, sacrifice, love and faith.

     99.99% of the world’s mysteries are yet to be discovered and/or solved. Why not… It’s time for you to rediscover science? One of the most compelling draws of the sciences for many people is the potential of discovering something that was not known before. Whether someone’s doing it for fame, for fortune, or just for the fun of it, discovering something new, leaving your own personal mark for the rest of humanity’s time in the universe, is a tempting prospect for many. How would you feel about naming a star, and for others to know that you named it? That star would be visible in the sky for the rest of your lifetime, and more than likely for your great-great-great-grandchildren’s lifetimes. Your discovery would be immortalized above for the life of the star. Inside this book you will discover: -String theory and how it came about -Black holes and quantum gravity -If Schrödinger’s Cat is really a cat? -Disagreements between Einstein and Bohr -The double slit experiment Attention! Quantum Physics is NOT for everyone! This book is not for people: -Who doesn’t want to impress their girl with science -Who are not curious about the universe -Who isn’t inspired to name their own science theory If you are ready to learn about quantum physics, Scroll Up And Click On The “BUY NOW” Button Now!

    

    Stewart's Calculus is successful throughout the world because he explains the material in a way that makes sense to a wide variety of readers. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus. Stewart's examples stand out because they are not just models for problem solving or a means of demonstrating techniques--they also encourage readers to develp an analytic view of the subject. This edition includes new problems, examples, and projects.

    In 1935, aged 22, he developed the mathematical theory upon which all subsequent stored-program digital computers are modeled.At the outbreak of hostilities with Germany in September 1939, he joined the Government Codebreaking team at Bletchley Park, Buckinghamshire and played a crucial role in deciphering Engima, the code used by the German armed forces to protect their radio communications. Turing's work on the versionof Enigma used by the German navy was vital to the battle for supremacy in the North Atlantic. He also contributed to the attack on the cyphers known as Fish, which were used by the German High Command for the encryption of signals during the latter part of the war. His contribution helped toshorten the war in Europe by an estimated two years.After the war, his theoretical work led to the development of Britain's first computers at the National Physical Laboratory and the Royal Society Computing Machine Laboratory at Manchester University.Turing was also a founding father of modern cognitive science, theorizing that the cortex at birth is an unorganized machine which through training becomes organized into a universal machine or something like it. He went on to develop the use of computers to model biological growth, launchingthe discipline now referred to as Artificial Life.The papers in this book are the key works for understanding Turing's phenomenal contribution across all these fields. The collection includes Turing's declassified wartime Treatise on the Enigma; letters from Turing to Churchill and to codebreakers; lectures, papers, and broadcasts which opened upthe concept of AI and its implications; and the paper which formed the genesis of the investigation of Artifical Life.

    Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.

    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.

    

    Groundbreaking in every way when first published, this book is a simple, straightforward, direct calculus text. It's popularity is directly due to its broad use of applications, the easy-to-understand writing style, and the wealth of examples and exercises which reinforce conceptualization of the subject matter. The author wrote this text with three objectives in mind. The first was to make the book more student-oriented by expanding discussions and providing more examples and figures to help clarify concepts. To further aid students, guidelines for solving problems were added in many sections of the text. The second objective was to stress the usefulness of calculus by means of modern applications of derivatives and integrals. The third objective, to make the text as accurate and error-free as possible, was accomplished by a careful examination of the exposition, combined with a thorough checking of each example and exercise.

    To top it he had speech difficulties and was vague and inattentive. Albert hated the kind of rote learning he was obliged to do in school, memorizing dates and texts. But as he grew older, it became clear that Albert was no ordinary person. 1905 is often termed his 'miracle year', the year he published not one but four entirely new papers, on four completely different topics.

    Hooked on Lane’s warm lips pressed against mine.I’ve never had a boyfriend. Never been on a date. Never kissed a boy until the day Lane pressed his lips against mine. But he shouldn’t have.He’s my best friend. And that goes against the rules. The ones I helped create. Not to mention what my strict father will do when he finds out tomorrow.No matter how much I love him, Lane will go back to being just another college boy, and me? I’ll just be the high school girl he left behind...LaneI’ve never wanted anything more than Regan’s lips on mine. And now, we are the way we should be. Almost... I can’t wait to get us in the open—out of the dark. Tomorrow is the day we tell the world.I can handle our friends’ reactions. I can handle the distance that will be between us when I leave for university. I can handle her dad.What I can’t handle?Losing her.  Don’t miss More Than A Kiss by Sally Henson, author of The Kissing Tutor. If you like rollercoaster teen romance steeped in best friends, loads of kissing, and swooniness, then this sweet Teen & Young Adult contemporary romance story will have you turning the pages! Grab your copy today!

    This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9