Coincidences Chaos and All that Math Jazz

Author: Edward B. Burger
Publisher: W. W. Norton & Company
ISBN: 0393059456
Release Date: 2005
Genre: Science

An irreverent and accessible explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, the shape of the universe as reflected by a twisted strip of paper, and the parallels between the Lincoln and Kennedy assassinations. 50,000 first printing.

The Heart of Mathematics

Author: Edward B. Burger
Publisher: Springer Science & Business Media
ISBN: 1931914419
Release Date: 2005
Genre: Mathematics

The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols. The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.

Extending the Frontiers of Mathematics

Author: Edward B. Burger
Publisher: Key College Pub
ISBN: 1597570427
Release Date: 2007-01
Genre: Mathematics

In the real world of research mathematics, mathematicians do not know in advance if their assertions are true or false. Extending the Frontiers of Mathematics: Inquiries into proof and argumentation requires students to develop a mature process that will serve them throughout their professional careers, either inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploring proofs and other advanced mathematical ideas through these features: - Puzzles and patterns introduce the pedagogy. These precursors to proofs generate creativity and imagination that the author builds on later - Prove and extend or disprove and salvage, a consistent format of the text, provides a framework for approaching problems and creating mathematical proofs - Mathematical challenges are presented which build upon each other, motivate analytical skills, and foster interesting discussion

Number Theory Through Inquiry

Author: David C. Marshall
Publisher: MAA
ISBN: 9780883857519
Release Date: 2007
Genre: Mathematics

This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for independent study, or for a course designed as an introduction to abstract mathematics. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method, which gives students a totally different experience compared to a standard lecture course. Students develop an attitude of personal reliance and a sense that they can think effectively about difficult problems; goals that are fundamental to the educational enterprise within and beyond mathematics.

Where the Dark and the Light Folks Meet

Author: Randall Sandke
Publisher: Scarecrow Press
ISBN: 081086990X
Release Date: 2010-01-25
Genre: Music

Sandke tackles the stubborn and controversial question of whether jazz is the product of an insulated African-American environment, shut off from the rest of society by strictures of segregation and discrimination; or whether it is more properly understood as the juncture of a variety of influences under the broader umbrella of American culture.

Making Transcendence Transparent

Author: Edward B. Burger
Publisher: Springer Science & Business Media
ISBN: 9781475741148
Release Date: 2013-04-17
Genre: Mathematics

This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Secrets of Mental Math

Author: Arthur Benjamin
Publisher: Three Rivers Press
ISBN: 030734746X
Release Date: 2008-06-03
Genre: Mathematics

These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.

The Equation that Couldn t Be Solved

Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 0743274628
Release Date: 2005-09-19
Genre: Mathematics

What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

The 5 Elements of Effective Thinking

Author: Edward B. Burger
Publisher: Princeton University Press
ISBN: 9781400844562
Release Date: 2012-08-26
Genre: Self-Help

The 5 Elements of Effective Thinking presents practical, lively, and inspiring ways for you to become more successful through better thinking. The idea is simple: You can learn how to think far better by adopting specific strategies. Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in The 5 Elements of Effective Thinking, you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities. The book offers real-life stories, explicit action items, and concrete methods that allow you to attain a deeper understanding of any issue, exploit the power of failure as a step toward success, develop a habit of creating probing questions, see the world of ideas as an ever-flowing stream of thought, and embrace the uplifting reality that we are all capable of change. No matter who you are, the practical mind-sets introduced in the book will empower you to realize any goal in a more creative, intelligent, and effective manner. Filled with engaging examples that unlock truths about thinking in every walk of life, The 5 Elements of Effective Thinking is written for all who want to reach their fullest potential--including students, parents, teachers, businesspeople, professionals, athletes, artists, leaders, and lifelong learners. Whenever you are stuck, need a new idea, or want to learn and grow, The 5 Elements of Effective Thinking will inspire and guide you on your way. To share thinking stories, go to: http://5elementsofthinking.wordpress.com

Ghostwritten

Author: David Mitchell
Publisher: Vintage
ISBN: 9780307426024
Release Date: 2007-12-18
Genre: Fiction

By the New York Times bestselling author of The Bone Clocks and Cloud Atlas A gallery attendant at the Hermitage. A young jazz buff in Tokyo. A crooked British lawyer in Hong Kong. A disc jockey in Manhattan. A physicist in Ireland. An elderly woman running a tea shack in rural China. A cult-controlled terrorist in Okinawa. A musician in London. A transmigrating spirit in Mongolia. What is the common thread of coincidence or destiny that connects the lives of these nine souls in nine far-flung countries, stretching across the globe from east to west? What pattern do their linked fates form through time and space? A writer of pyrotechnic virtuosity and profound compassion, a mind to which nothing human is alien, David Mitchell spins genres, cultures, and ideas like gossamer threads around and through these nine linked stories. Many forces bind these lives, but at root all involve the same universal longing for connection and transcendence, an axis of commonality that leads in two directions—to creation and to destruction. In the end, as lives converge with a fearful symmetry, Ghostwritten comes full circle, to a point at which a familiar idea—that whether the planet is vast or small is merely a matter of perspective—strikes home with the force of a new revelation. It marks the debut of a writer of astonishing gifts.

Holt Geometry

Author: Edward B. Burger
Publisher: Holt Rinehart & Winston
ISBN: 0030358280
Release Date: 2007-01-01
Genre: Juvenile Nonfiction


Nexus Network Journal 8 1

Author:
Publisher: Springer Science & Business Media
ISBN: 376437747X
Release Date: 2006-07-14
Genre: Mathematics

From ancient to modern, architects have looked for fundamental underlying principles of geometry and proportion on which to found their designs. Such principles not only provide an order for the formal elements, they ground the architecture in timeless values and provide an order for the formal elements, they ground the architecture in timeless values and provide a source of cultural meaning. This book illustrates the use of fundamental principles of geometry and proportion in two ancient cultures, the Bronze Age and the Roman Age, as well as in twentieth-century North America.

The Hidden Brain

Author: Shankar Vedantam
Publisher: Spiegel & Grau
ISBN: 1588369390
Release Date: 2010-01-19
Genre: Social Science

The hidden brain is the voice in our ear when we make the most important decisions in our lives—but we’re never aware of it. The hidden brain decides whom we fall in love with and whom we hate. It tells us to vote for the white candidate and convict the dark-skinned defendant, to hire the thin woman but pay her less than the man doing the same job. It can direct us to safety when disaster strikes and move us to extraordinary acts of altruism. But it can also be manipulated to turn an ordinary person into a suicide terrorist or a group of bystanders into a mob. In a series of compulsively readable narratives, Shankar Vedantam journeys through the latest discoveries in neuroscience, psychology, and behavioral science to uncover the darkest corner of our minds and its decisive impact on the choices we make as individuals and as a society. Filled with fascinating characters, dramatic storytelling, and cutting-edge science, this is an engrossing exploration of the secrets our brains keep from us—and how they are revealed.

Poetry of the Universe

Author: Robert Osserman
Publisher: Anchor
ISBN: 9780307790583
Release Date: 2011-04-27
Genre: Science

In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.