Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    The new edition has been updated in accordance with the revised syllabus for 2010. It covers the history of Pakistan up to 1999 and provides students with comprehensive and in-depth knowledge required for the examination. The author is an examiner for O Level Pakistan Studies Paper 1. He is an experienced write of history textbooks for secondary classes, classes, GCSE and O Level.

    Ellen Datlow and Terri Windling continue their critically acclaimed and award-winning tradition with another stunning collection of stories. The fiction and poetry here is culled from an exhaustive survey of the field, nearly four dozen stories ranging from fairy tales to gothic horror, from magical realism to dark tales in the Grand Guignol style. Rounding out the volume are the editors' invaluable overviews of the year in fantasy and horror, a new Year's Best section, on comics, by Charles Vess, and on anime and manga, by Joan D. Vinge, and a long list of Honorable Mentions, making this an indispensable reference as well as the best reading available in fantasy and horror.

    N. Dhawan, S. C. Kheterpal and P. N. Kapil's New Course Chemistry with Value Based Questions, published by Pradeep Publications, is a comprehensive set of two books for Class XI students. Volume I and Volume II have various concepts in Chemistry explained in simple and lucid language for better comprehension. The books conform to the latest syllabus and exam pattern. - See more at: http://bbag.in/index.php?route=produc...

    

    For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    The critically acclaimed and award-winning tradition continues with another stunning collection, including stories by Jack Cady, Ramsey Campbell, Susanna Clarke, Jack Dann, Terry Dowling, Dennis Etchison, Greer Gilman, Nalo Hopkinson, Kelly Link, Kathe Koja, Paul J. McAuley, Delia Sherman. Rounding out the volume are the editors' invaluable overviews of the year in fantasy and horror, and a long list of Honorable Mentions, making this an indispensable reference as well as the best reading available in fantasy and horror.

    students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives.Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.

    Like its predecessors, the seventh edition includes the absolute minimum of mathematical/statistical notation necessary to teach the material. Concepts are fully explained in simple, easy-to-understand language as they are presented, making the book an excellent source from which to learn and teach. After each discussion, readers are guided through real-world examples to show how book principles work in professional practice. Includes easy-to-understand explanations of difficult statistical topics, such as sampling distributions, relationship between confidence level and confidence interval, interpreting r-square. A complete package of teaching/learning aids is provided in every chapter, including chapter review exercises, chapter concepts tests,"Statistics at Work" conceptual cases, "Computer Database Exercises," "From the Textbook to the Real-World Examples." This ISBN is in two volumes Part A and Part B.

    CONTAINS MCQ'S

    Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including Counting the Cattle of the Sun, The Great Drain Robbery, and Preposterous Piratical Predicaments. Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!

    Visit places where one might expect to find the dark — in a house where love was shared and lost, a milky-white pool in an Australian cave, the trenches of World War I, the deep woods. You would not be surprised to find the dark in a cheap apartment on the wrong side of town, down mean streets, under a gallows-tree, along dank passageways, trapped underground, in the near future, or among the mysteries of old New Orleans. Dunes, lakes, isolated cabins, old books, and Old West saloons — well, the darkness might easily be there. But we've also found locales you thought were safe from shadows — a rib joint with good blues playing, inside an old wardrobe, on a baseball diamond, the Beverly Wilshire Hotel...Travel into the best dark fantasy and horror from 2011 with more than five-hundred pages of tales from some of today's best-known writers of the fantastique as well as new talents — stories that will take you to a diverse assortment of dark placesContents Hair • (2011) • shortstory by Joan AikenRakshasi • (2011) • shortfiction by Kelley ArmstrongWalls of Paper, Soft as Skin • (2011) • shortstory by Adam CallawayThe Lake • (2011) • shortfiction by Tananarive DueTell Me I'll See You Again • (2011) • shortstory by Dennis EtchisonKing Death • (2011) • shortfiction by Paul FinchThe Last Triangle • (2011) • shortfiction by Jeffrey FordNear Zennor • (2011) • novella by Elizabeth HandCrossroads • (2011) • shortstory by Laura Anne GilmanAfter-Words • (2011) • novelette by Glen HirshbergRocket Man • (2011) • shortfiction by Stephen Graham JonesThe Maltese Unicorn • (2011) • shortfiction by Caitlín R. KiernanThe Dune • (2011) • shortfiction by Stephen KingCatastrophic Disruption of the Head • (2011) • shortfiction by Margo LanaganThe Bleeding Shadow • (2011) • shortfiction by Joe R. LansdaleWhy Light? • (2011) • novelette by Tanith LeeConservation of Shadows • (2011) • shortstory by Yoon Ha LeeA Tangle of Green Men • [Chronicles of the Borderlands] • (2011) • novella by Charles de LintAfter the Apocalypse • (2012) • shortfiction by Maureen F. McHugh [as by Maureen McHugh ]Why Do You Linger? • (2011) • shortfiction by Sarah MonetteLord Dunsany's Teapot • (2011) • shortstory by Naomi NovikMysteries of the Old Quarter • (2011) • novelette by Paul ParkVampire Lake • (2011) • shortfiction by Norman PartridgeA Journey of Only Two Paces • (2011) • shortstory by Tim PowersFour Legs in the Morning • (2011) • shortfiction by Norman PrentissThe Fox Maiden • (2011) • shortfiction by Priya SharmaTime and Tide • (2011) • shortstory by Alan Ryan [as by Alan Peter Ryan ]Sun Falls • (2011) • shortstory by Angela SlatterStill • (2011) • shortfiction by Tia V. TravisObjects in Dreams May Be Closer Than They Appear • (2011) • shortstory by Lisa TuttleThe Bread We Eat in Dreams • (2011) • shortstory by Catherynne M. ValenteAll You Can Do Is Breathe • (2011) • shortstory by Kaaron WarrenJosh • (2011) • shortfiction by Gene Wolfe

    Topics include: Limits, Derivatives, and Integrations.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.