To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    Today's designers need a comprehensive understanding of applied cryptography.After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations.The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book's website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.

    David Owen's fascinating narrative tells the story of the machine nobody thought we needed but now we can't live without.Chester Carlson grew up in unspeakable poverty, worked his way through junior college and the California Institute of Technology, and made his discovery in solitude in the depths of the Great Depression. He offered his big idea to two dozen major corporations -- among them IBM, RCA, and General Electric -- all of which turned him down. So persistent was this failure of capitalist vision that by the time the Xerox 914 was manufactured by an obscure photographic-supply company in Rochester, New York, Carlson's original patent had expired. Xerography was so unusual and nonintuitive that it conceivably could have been overlooked entirely. Scientists who visited the drafty warehouses where the first machines were built sometimes doubted that Carlson's invention was even theoretically feasible.Drawing on interviews, Xerox company archives, and the private papers of the Carlson family, David Owen has woven together a fascinating and instructive story about persistence, courage, and technological innovation -- a story that has never before been fully told.

    

    And proves once and for all that maths isn't just for old men with white hair and beards who associate with elves.Maths has never been merrier.

    40 illustrations throughout.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

    If you want to learn more, this excellent 2nd-edition is detailed with hundreds of secrets that will help make your comps seamless. For beginners or experts, Ron walks you through the processes of analysis and workflows - linear thinking which will help you become deft and successfully tackle any shot. - Dennis Muren ASC, Senior Visual Effects Supervisor, Industrial Light & MagicRon Brinkman's book is the definitive work on digital compositing and we have depended on this book as a critical part of our in-house training program at Imageworks since the 1999 Edition. We use this book as a daily textbook and reference for our lighters, compositors and anyone working with digital imagery. It is wonderful to see a new edition being released and it will certainly be required reading for all our digital artists here at Imageworks.- Sande Scoredos, Executive Director of Training & Artist Development, Sony Pictures ImageworksThe Art and Science of Digital Compositing is the only complete overview of the technical and artistic nature of digital compositing. It covers a wide range of topics from basic image creation, representation and manipulation, to a look at the visual cues that are necessary to create a believable composite. Designed as an introduction to the field, as well as an authoritative technical reference, this book provides essential information for novices and professionals alike. *17 new case-studies provide in-depth looks at the compositing work done on films such as Chronicles of Narnia: The Lion, the Witch and the Wardrobe, The Golden Compass, The Incredibles, King Kong, The Lord of the Rings: The Return of the King, Sin City, Spider-Man 2, Wallace and Gromit: The Curse of the Were-Rabbit, and Star Wars: Episode 3-Revenge of the Sith. *The accompanying DVD-ROM features bonus resources, including example footage from hit films and projects that give readers hands-on experience with real industry materials.*Includes new sections on 3D compositing, High Dynamic Range (HDR) imaging, Rotoscoping, and much more!

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

    The gold standard for attaining security is cryptography because it provides the most reliable tools for storing or transmitting digital information. Written by Niels Ferguson, lead cryptographer for Counterpane, Bruce Schneier's security company, and Bruce Schneier himself, this is the much anticipated follow-up book to Schneier's seminal encyclopedic reference, Applied Cryptography, Second Edition (0-471-11709-9), which has sold more than 150,000 copies. Niels Ferguson (Amsterdam, Netherlands) is a cryptographic engineer and consultant at Counterpane Internet Security. He has extensive experience in the creation and design of security algorithms, protocols, and multinational security infrastructures. Previously, Ferguson was a cryptographer for DigiCash and CWI. At CWI he developed the first generation of off-line payment protocols. He has published numerous scientific papers. Bruce Schneier (Minneapolis, MN) is Founder and Chief Technical Officer at Counterpane Internet Security, a managed-security monitoring company. He is also the author of Secrets and Lies: Digital Security in a Networked World (0-471-25311-1).

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    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.

    Clear explanations are detailed with many current examples.

    Dr. Langston discovered that these people had all used a tainted form of heroin. Using fetal tissue transplant, two of the addicts recovered, garnering world-wide press coverage. This is the story behind the headlines.

    One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.