Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining.This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking, and explains how a student will need to adapt and extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures and to studying for examinations while also allowing time for a fulfilling all-round university experience.The first subject-specific guide for students, this friendly, practical text will be essential reading for anyone studying mathematics at university.

    John Gribbin provides a brief, succinct, accessible overview of the hundred-year saga of particle physics, explaining everything from the basics (how subatomic particles work) to the cutting-edge research that has produced dazzling new models of the universe, among them the radical theories of "superstrings" -- the hypothesis that particles are loops of vibrating "string" -- and "supersymmetry".

    More than a manifesto, The Code of Extraordinary Change cracks life wide open, taking you to a place where you're confident, capable and compelled to get out there and put a you-shaped dent in the universe.Containing a set of principles, ideas and specific actions learned from over 10 years of experience in coaching individuals on being naturally self-confident, the Code is a model for building natural confidence and creating and sustaining meaningful change.Get the Code of Extraordinary Change now and go dent the universe.

    "A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven PinkerProbing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

    His humor, columns, and short stories appear in various publications throughout the Southeast.

    

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Plus, the Philadelphia Phillies' 2011 rotation also happens to include Cole Hamels--the 2008 NLCS and World Series MVP--and an alternating fifth starter. This awe-inducing rotation has been the talk of baseball since coming together in December 2010. They were featured on the cover of Sports Illustrated's 2011 baseball- preview edition, interviewed on the MLB Network on opening day of spring training, covered in the New York Times Magazine, and mentioned in numerous newspapers and magazines nationwide.Authored by two of the most knowledgable and connected Phillies beat writers, The Rotation is a remarkably detailed day-in-the-life story of one complete season with a Major League Baseball starting-pitching staff. The authors offer deep daily access to the Phillies players, coaches, and front-office staff, as well as the players and staff of other major league teams and the national baseball media.With firsthand reporting and extensive interviews, plus two full-color photo inserts, this is a fascinating and detailed look into the day-to-day operation of what is arguably the greatest pitching rotation ever assembled. It is a must-read for Phillies fans and general baseball fans alike.

    From the months each of us spent suspended in the womb anticipating birth to the moments when we wait for sleep to transport us to other realities, we are always aware of gravity. In On Gravity, physicist A. Zee combines profound depth with incisive accessibility to take us on an original and compelling tour of Einstein's general theory of relativity.Inspired by Einstein's audacious suggestion that spacetime could ripple, Zee begins with the stunning discovery of gravity waves. He goes on to explain how gravity can be understood in comparison to other classical field theories, presents the idea of curved spacetime and the action principle, and explores cutting-edge topics, including black holes and Hawking radiation. Zee travels as far as the theory reaches, leaving us with tantalizing hints of the utterly unknown, from the intransigence of quantum gravity to the mysteries of dark matter and energy.Concise and precise, and infused with Zee's signature warmth and freshness of style, On Gravity opens a unique pathway to comprehending relativity and gaining deep insight into gravity, spacetime, and the workings of the universe.

    Perform this genius seemingly-mathematical feat on any napkin, any receipt, or even on your friend's arm.You can learn the famous Magic Square, and you can learn it in under 10 minutes.You will have a magician's Grand Finale, in your hands at any moment. This gets audible gasps, and you can wow people with this for the rest of your life...**************************THE PERFORMANCE:**************************Your friend will name a random number. You then speedily write 16 different numbers into a 4x4 grid. With a smug flourish, you then reveal that all combinations and directions within the grid add up to their chosen number. It is simply mind-blowing.Effortlessly perform a trick that it seems only a computer could perform, and learn how in 10 minutes from right now.

    It shows how patients can protect themselves against an increasingly incompetant and dangerous medical profession.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    John's, Antigua; Oranjestad, Aruba; Bridgetown, Barbados; Belize City, Belize; Bermuda; Kralendijk, Bonaire; Calica (Playa del Carmen), Mexico; Cartagena, Colombia; Colon, Panama; Costa Maya, Mexico; Willemstad, Curacao; Roseau, Dominica; Falmouth, Jamaica; Freeport-Lucaya, Bahamas; Grand Cayman, Cayman Islands; Grand Turk, Turks and Caicos Islands; St. George's, Grenada; Pointe-a-Pitre, Guadeloupe; Key West, Florida; La Romana, Dominican Republic; Fort-de-France, Martinique; Montego Bay, Jamaica; Nassau, Bahamas; Charlestown, Nevis; Ocho Rios, Jamaica; Progreso, Mexico; Puerto Limon, Costa Rica; Roatan, Honduras; Samana (Cayo Levantado), Dominican Republic; San Juan, Puerto Rico; Santo Domingo, Domican Republic; Santo Tomas de Castilla, Guatemala; Gustavia, St. Barthelemy; Fredericksted, St. Croix; Cruz Bay, St. John; Basseterre, St. Kitts; Castries, St. Lucia; Philipsburg, St. Maarten; Charlotte Amalie, St. Thomas; Kingstown, St. Vincent; Road Town, Tortola; and The Valley, Virgin Gorda· Covered ports of embarkation: Baltimore, Maryland; Charleston, South Carolina; Fort Lauderdale, Florida; Galveston, Texas; Houston, Texas; Jacksonville, Florida; Miami, Florida; New Orleans, Louisiana; New York, New York; Port Canaveral, Florida; San Juan, Puerto Rico; Tampa, Florida

    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.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.