The absence of a book, explaining the techniques in a simple language, has been felt acutely for a long time. This book has been written using a step-by-step approach, and attempts to fill the existing void. It includes several solved problems in addition to 1000 practice problems with answers. It also includes a special chapter which shows the application of the techniques to problems set in competitive exams like CAT, CET etc.People from all walks of life including school and college students, teachers, parents and also those from non-mathematical areas of study will discover the joys of solving mathematical problems using the wonderful set of techniques called Vedic Maths.

    More than a step-by-step review of the features in After Effects, you will learn how the program thinks so that you can realize your own visions more quickly and efficiently. This full-color book is jammed full of tips, gotchas, and sage advice that will help you survive whatever your next project throws at you. Creating Motion Graphics 4th Edition has been heavily revised, reuniting the previous two volumes plus adding detailed coverage of new features introduced in After Effects 7 and CS3 Professional to form one massive, essential reference. The enclosed DVD-ROM contains source footage and project files for the numerous exercises which help reinforce each concept. The DVD also includes over 180 pages of additional information, including lengthy Bonus Chapters on Expressions and Effects.Authored in CS3, also included is access to a free web chapter written for CS4. * Free CS4 web chapter included with the book* Mastering animation through the use of keyframes, motion paths, and the Graph Editor* Blending imagery using alpha channels, masks, mattes, modes, and stencils* Building groups and hierarchies through parenting and nested comps* Extended coverage of type animation, paint tools and 3D space* Advanced subjects such as keying, motion tracking, expressions, and video issues* Includes over 180 PDF pages of bonus content on the DVD* Extensive coverage of the new CS3 features including the Shape and Puppet tools, Brainstorm, per-character 3D text, color management, and more!

    It also offers tips, shortcuts, design techniques, ideas and layouts to unleash your creativity.

    It's an insightful artistic philosophy that boils down the many technical principles of composition into a single master rule that's easy to remember and apply: Never make any two intervals the same.You can make every painting more interesting, dynamic and technically sound by varying intervals of distance, length and space, as well as intervals of value and color. The rule also applies to balance, shape and the location of your painting's focal point.Greg Albert illustrates these lessons with eye-opening examples from both beginning and professional artists, including Frank Webb, Tony Couch, Kevin Macpherson, Charles Reid, Tony Van Hasselt and more.You'll discover that the ONE RULE is the only rule of composition you need to immediately improve your work - the moment your brush touches the canvas.

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    Whether they're landscape or portrait photographers, illustrators or fine artists, masking and compositing are essential skills to master for combining images to the extent that it is impossible to tell where one image stops and the other one begins. Photoshop artist and educator Katrin Eismann takes readers through numerous step-by-step examples, highlighting the tools and techniques used for masking and combining images. Featuring work by leading artists and photographers, this book focuses on the techniques used to create compelling compositions, including making fast and accurate selections, mastering Photoshop's masking tools, and implementing the concept and photography from start to finish. The book addresses working with Photoshop's selection tools; selecting and maintaining fine details and edges; working with difficult image elements, such as cloth, hair, or translucent objects; and green-screen techniques. Katrin also addresses the creative aspects of image compositing, including how to start with a concept, plan and execute the photography, and seamlessly assemble the image. Combining technical direction and inspiration, this book will expand readers' imaginations, so they can fluidly and professionally create images with Photoshop.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    He made pilgrimages to true time capsules like a remote lagoon in Western Australia, spent time in research collections photographing forms of microscopic life, and even found ways to create visual parallels between the growth of organs in the human body and the patterns seen on the surface of the earth. The resulting volume is a glorious picture book of planet earth depicting the amazing biodiversity that surrounds us all. Lanting's true gift lies beyond his technical mastery: it is his eye for geometry in the beautiful chaos of nature that allows him to show us the world as it has never been seen before. From crabs to jellyfish, diatoms to vast geological formations, jungles to flowers, monkeys to human embryos, LIFE is a testament to the magical beauty of life in all its forms and is Lanting's most remarkable achievement to date. The photographer: Dutch-born Frans Lanting has been hailed as one of the great nature photographers of our time. For the past two decades he has documented wildlife and our relationship with nature in environments from the Amazon to Antarctica. Exhibits of his photographs have been shown at major museums in Paris, Milan, Tokyo, New York, Madrid, and Amsterdam. Lanting's previous TASCHEN titles include Eye to Eye, Jungles, and Penguin. The editor: Christine Eckstrom is a writer and editor specializing in natural history. She collaborates with Lanting on fieldwork, books, and other publishing projects from their home base in California.

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    Contains complete worked solutions to all regular exercises and computer exercises in the text; additional test questions and their solutions; an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key; and links on the author's website to true/false questions, flash cards, essays, software downloads, and other abstract algebra-related materials.

    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.

    Author Brenda Tharp’s inspiring approach has garnered fans all over the world, as she teaches that magical skill no camera can do for you: learn how to “see.” Readers expand their photographic vision and discover deep wellsprings of creativity as they learn to use light, balance, color, design, pattern, texture, composition, and many simple techniques to take a photo from ordinary to high-impact.Featuring more than 150 stunning, all-new images, Creative Nature & Outdoor  Photography, Revised Edition is for anyone who understands the basic technical side to photography but wants to wake up their creative vision.

    Originally marked out by eye and later by use of a stretched cord, in time these forms came to be made with the simple tools of ruler and compass.This small book introduces the origins and basic principles of geometric constructions using these ancient tools, before going on to cover dozens of geometric forms, from practical fundamentals to more challenging constructions.

    This fascinating book showcases hundreds of eye-catching tattoos that pay tribute to various scientific disciplines, from evolutionary biology and neuroscience to mathematics and astrophysics, and reveals the stories of the individuals who chose to inscribe their obsessions in their skin. Best of all, each tattoo provides a leaping-off point for bestselling essayist and lecturer Zimmer to reflect on the science in question, whether it's the importance of an image of Darwin's finches or the significance of the uranium atom inked into the chest of a young radiologist.