Now his astonishing conversations with the other side provide us all with a rare glimpse of eternity: a heartwarming message of love, hope, understanding and forgiveness. The message is pure and simple: Death is not the end. It is the beginning. Our love is everlasting... We Are Not Forgotten

    They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.

    According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

    Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest. Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or atoms of symmetry. Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed the Monster--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe. This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.

    Not only is China full of opportunities in business and politics, but Chinese culture, such as movies and literature, are also making their way into the western world. And with Chinese as the second most widely- spoken foreign language in America, more and more Americans are exposed to its language and culture. This revised edition of "Chinese for Dummies" shows you the basics of Mandarin Chinese and culture points that will make great impressions while communicating.Many Americans are taking time to learn Chinese, especially since it is becoming one of the most widely used languages in the world. Currently, there are: Over 1 billion people speak some form of ChineseMore Chinese speakers in the United States than French or German speakers102.6 million internet users who obtain access using ChineseAt least 25 million people worldwide who are learning Chinese"Chinese For Dummies" will show you how to communicate effectively in Chinese as well as inform you on Chinese culture. Some of the topics this book covers include: Basic vocabularyEveryday conversations, including phone dialogue and small talkSpeaking in perfect pitch and toneEasy-to-understand grammar rulesGetting around in a Chinese-speaking countryCultural references like maintaining face, dining etiquette, and social moresAlso included is an audio CD that features actual Chinese conversations by native Chinese speakers, which allows you to hear how Chinese is really spoken. Written by a leading Chinese language teacher in the United States, "Chinese for Dummies" will introduce an often daunting language to you in a fun-and-easy "For Dummies" manner.

    Whatever you do mindfully, with presence and awareness of what you are doing, you are practicing mindfulness. However, there are also some simple ways and techniques that you can apply in your life throughout the day that can help you with your mindfulness practice. I am not a life coach or psychologist, I am not some special person with some secret knowledge. I am just a regular everyday person and I spent a lot of years of my life seeking the answers on how to be my best self and live my best life, a mindful life. I read many books and took many courses to find those answers but most importantly I lived through a lot of experiences that made me who I am today and helped me grow, helped me become my best self. I struggled with depression, eating disorder, health problems, pain from losing my father at the age of 12, challenging and painful childhood and finding my purpose and meaning. I overcame a lot of pain, struggles, obstacles and setbacks and I can tell you from the experience that it can be done. Everything I share with you is my personal experience and practices that I tried and that worked for me. We will cover several morning, day and evening mindful practices: Mindful morning: - Mindful breathing - Mindful meditation - Sun Salutation Mindful day: - Mindful work - Mindful eating - Mindful communication Mindful evening: - Mindful walking - Gratitude - Body scanning Plus, I am offering a BONUS inside that you can download for FREE, that can help you with your mindfulness practice – “Gratitude Journal – 365 days of gratitude, inspiring quotes and photographs”. If you like simple and concrete advice that actually works in practice you will like this book. Download your copy today and start with your everyday mindfulness in practice!

    By increasing our understanding of how the mind works, he teaches us:- How to read faster and more effectively - How to study more efficiently and increase overall memory - How language and imagery can be used for recording, organizing, remembering, creative thinking and problem solving.This completely updated Third Edition of a classic work provides a proven way of using our brains to their fullest potential and to our best advantage.

    With an accessible, straightforward approach. He guides traders through the basics of option pricing, volatility measurement, hedging, money management, and trade evaluation. In addition, Sinclair explains the often-overlooked psychological aspects of trading, revealing both how behavioral psychology can create market conditions traders can take advantage of-and how it can lead them astray. Psychological biases, he asserts, are probably the drivers behind most sources of edge available to a volatility trader. Your goal, Sinclair explains, must be clearly defined and easily expressed-if you cannot explain it in one sentence, you probably aren't completely clear about what it is. The same applies to your statistical edge. If you do not know exactly what your edge is, you shouldn't trade. He shows how, in addition to the numerical evaluation of a potential trade, you should be able to identify and evaluate the reason why implied volatility is priced where it is, that is, why an edge exists. This means it is also necessary to be on top of recent news stories, sector trends, and behavioral psychology. Finally, Sinclair underscores why trades need to be sized correctly, which means that each trade is evaluated according to its projected return and risk in the overall context of your goals. As the author concludes, while we also need to pay attention to seemingly mundane things like having good execution software, a comfortable office, and getting enough sleep, it is knowledge that is the ultimate source of edge. So, all else being equal, the trader with the greater knowledge will be the more successful. This book, and its companion CD-ROM, will provide that knowledge. The CD-ROM includes spreadsheets designed to help you forecast volatility and evaluate trades together with simulation engines.

    Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

    … The book the National Security Agency wanted never to be published." –Wired Magazine "…monumental… fascinating… comprehensive… the definitive work on cryptography for computer programmers…" –Dr. Dobb's Journal"…easily ranks as one of the most authoritative in its field." —PC Magazine"…the bible of code hackers." –The Millennium Whole Earth CatalogThis new edition of the cryptography classic provides you with a comprehensive survey of modern cryptography. The book details how programmers and electronic communications professionals can use cryptography—the technique of enciphering and deciphering messages-to maintain the privacy of computer data. It describes dozens of cryptography algorithms, gives practical advice on how to implement them into cryptographic software, and shows how they can be used to solve security problems. Covering the latest developments in practical cryptographic techniques, this new edition shows programmers who design computer applications, networks, and storage systems how they can build security into their software and systems. What's new in the Second Edition? * New information on the Clipper Chip, including ways to defeat the key escrow mechanism * New encryption algorithms, including algorithms from the former Soviet Union and South Africa, and the RC4 stream cipher * The latest protocols for digital signatures, authentication, secure elections, digital cash, and more * More detailed information on key management and cryptographic implementations

    The remaining lectures build on that idea, examining the possibility of building a relativistic quantum theory on curved surfaces or flat surfaces.

    This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    The Authors Discuss The Mathematical Theory In Detail And Then Provide The Geometric Interpretation Necessary To Make 3D Math Intuitive. Working C++ Classes Illustrate How To Put The Techniques Into Practice, And Exercises At The End Of Each Chapter Help Reinforce The Concepts. This Book Explains Basic Concepts Such As Vectors, Coordinate Spaces, Matrices, Transformations, Euler Angles, Homogenous Coordinates, Geometric Primitives, Intersection Tests, And Triangle Meshes. It Discusses Orientation In 3D, Including Thorough Coverage Of Quaternions And A Comparison Of The Advantages And Disadvantages Of Different Representation Techniques. The Text Describes Working C++ Classes For Mathematical And Geometric Entities And Several Different Matrix Classes, Each Tailored To Specific Geometric Tasks. Also Included Are Complete Derivations For All The Primitive Transformation Matrices.

    But her personal life (including a failed marriage and an exciting but unfulfilling affair) makes Bev feel she is lacking as a woman. Using all of her strength and intuition to reach the very pinnacle of success, she is still constantly searching for love.Public Smiles, Private Tears is not only Bev's story --- it is the story of an entire generation of women who find themselves in a world where traditional standards and assumptions no longer work. There is Ruth who followed the rules, Marion who broke them, and Sylvia --- who created her own. Here too are the men who loved them, used them, worshiped from afar, hurt them --- and sometimes left them. Helen Van Slyke draws upon her own experience in the glittering world of the powerful to tell a fascinating story of the people she knows so well: their successes and failures, their triumphs and tragedies, their public smiles and their private tears.This is Helen Van Slyke's tenth and final novel, the first half of which she had completed before her untimely death on July 3, 1979. Although she had begun writing only nine years at the age of fifty, she achieved international acclaim as the author of such bestsellers as No Love Lost, A Necessary Woman, The Mixed Blessing, and The Heart Listens. James Elward, novelist (Storm's End: Tomorrow I Mine) and play-wright (Best of Friends; Hallelujah!), had always admired Helen Van Slyke, both as a writer and as a person. When he read the unfinished manuscript of Public Smiles, Private Tears, he truly felt that it was Helen's greatest achievement, and immediately began the enormous task of finishing the book. The result is a novel so completely faithful to the spirit of Helen Van Slyke that it is sure to captivate and move her readers just as her previous books have done --- a fitting tribute to a writer beloved by millions.