Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    The authors' comprehensive experience in legal practice, banking and teaching have enabled them to provide a condensed and easy to understand coverage of business law principles and areas of interest related thereto.

    From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.

    . . 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

    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

        Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions. The BIG FAT NOTEBOOK™ series is built on a simple and irresistible conceit—borrowing the notes from the smartest kid in class. There are five books in all, and each is the only book you need for each main subject taught in middle school: Math, Science, American History, English Language Arts, and World History. Inside the reader will find every subject’s key concepts, easily digested and summarized: Critical ideas highlighted in neon colors. Definitions explained. Doodles that illuminate tricky concepts in marker. Mnemonics for memorable shortcuts. And quizzes to recap it all. The BIG FAT NOTEBOOKS meet Common Core State Standards, Next Generation Science Standards, and state history standards, and are vetted by National and State Teacher of the Year Award–winning teachers. They make learning fun and are the perfect next step for every kid who grew up on Brain Quest.

    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    KEY TOPICS: Coverage begins with an optional review of key concepts--such as properties of compound semiconductor, quantum mechanics, semiconductor statistics, carrier transport properties, optical processes, and junction theory--then progress gradually through more advanced topics. The Second Edition has been both updated and expanded to include the recent developments in the field.

    As the field of environmental science continues to evolve, this highly readable guide presents a full spectrum of views and information for students to evaluate issues and make informed decisions. An extensive resource package integrates text and digital media in an easy-to-use format designed to assist instructors in classroom preparation.

    

    The fifth edition of this classic reference work has been updated to give a reasonably accurate account of the present state of knowledge.

     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

    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.

    This includes further education, adult and community learning, work-based learning, the forces and offender learning and skills. It is easy to read with plenty of practical activities and examples throughout and the content is fully linked to the Teacher Training Standards. Please note: This book has since been updated to reflect the new title of the qualification: The Award in Education and Training.The qualification unit content contained in the appendices has since changed, and some legislation mentioned in the book has been updated.

    It presents positioning and projection information in an easy-to-read, bulleted format on one side of the page spread, with corresponding positioning photos, radiographic images and anatomical drawings on the other side. Expert content covers pathology, geriatric and pediatric patient populations, survey information, and 100 new positioning photographs for the latest in radiographic positioning. The 6th edition contains a new chapter on digital imaging, and digital imaging information is incorporated where appropriate throughout the book. New photographs and redrawn illustrations create a consistent, visual appearance throughout the book.- Characterized by a clear, easy-to-follow organization that features one projection per page. Positioning and projection information is presented in an easy-to-read bulleted format on the left side of the page, and positioning photos, radiographic images and anatomical drawings are aligned on the right. This show and tell style helps students visualize anatomy and understand positioning.- Includes about 200 of the most commonly requested projections. Competency in performing these projections is necessary for all entry-level practitioners. By contrast, Merrill's Atlas includes over 400 projections and much more information on advanced imaging.- Critique Radiographs provide the basis of classroom or lab discussion. The WB/LM contains questions specific to these radiographs.- Pathologic Indications in appropriate chapters - Introducing pathology with positioning helps students understand the whole patient and improves their ability to produce radiographs that make diagnosis easy for the physician.- Pediatric Applications in appropriate chapters prepare technologists to deal competently with the special needs of their pediatric patients.- Geriatric Applications in appropriate chapters - Important information for technologists to understand the varying needs of their patient base.- Alternative Modalities or procedures inform students of which projections can better demonstrate certain anatomical parts or pathology, or which may be necessary if patient is unable to cooperate fully.- Radiographic Criteria on positioning pages help students develop a routine for evaluating radiographic quality.- Pathology Demonstrated provides students with a larger frame of reference, and therefore a greater understanding, of each projectionA new chapter on digital imaging discusses basic principles, applications, and image quality - digital imaging information essential for making appropriate positioning adjustments - to ensure readers are prepared to encounter new technology in clinical practice.Content updates include a totally new section on surgical radiography, new sections in all chapters on digital imaging considerations, an expanded section on bone densitometry, and a new introduction to positron emission tomography (PET).Updated and revised chapters cover angiography and interventional procedures, and computed tomography.More than 150 new positioning photos, in addition to many updated images, complement the new material.