It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

    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.

    

    There was no immediate response on my part, only a deep sense of fear entombed by a completely paralyzed inner spirit. Much to my surprise, he spoke again: "Sir, you've waited too long to get here. You're not going to make it." And he continued: "If you believe in God, this is the time to make peace." In that very moment, I said to myself, "What do you mean, 'If you believe in God?' Of course I believe in God! I'm a man of faith and a Catholic priest!" Fr. John Tourangeau, O. Praem., a Norbertine priest who had an afterlife experience following a major heart attack, emphatically states, "Heaven is for real!" Within this enlightening and hope-filled book, Fr. John weaves a powerful and dynamic tapestry of the Kingdom of God at hand through the exploration of Christian tradition, Sacred Scripture, Catholic teaching, as well as his own lived experiences. "While the fullness of heaven cannot be fully experienced in our life here on earth," Father explains, "we are able to more fully experience God's love for us through our relationships with others. For it is in and through these relationships that we draw closer to Christ and his promise for us."

    Worked examples and exercises support the text. An ELBS/LPBB edition is available.

    Chunk follows him along his crazy, overweight journey; from the chubby 10-year old who stole brownies and tricked his parents into thinking he’d lost weight, to the teenage boy who made regular after-school plans to eat entire pies, to the adult man who still hates working out and still loves Cinnabons. It’s a bracingly funny and delightfully uncomfortable collection of essays exploring food, fitness, and the funny things that happen when we try to slim down and grow up. Brian Donovan has written for Late Night with Jimmy Fallon, National Public Radio, and, most recently, ABC’s The Neighbors. His work has also appeared on Chapelle’s Show, Funny or Die, and Off Broadway in New York City. His “Not a Match: My True Tales of Online Dating Disasters” is currently being developed for television. Cover design by Adil Dara.

    These are phrases that you hear almost every day in Spanish speaking countries, on TV, in movies, and when talking with friends in Spanish. Included in this book is FREE Access to Downloadable Mp3's of this book. Spanish Audio book is available by clicking link in book. This book is very basic Spanish. It is for beginning Spanish learners or students that want to review basic Spanish phrases. Some Topics Covered in this book are: Greetings Music What are you doing? Phrases about the Present (right now) Phrases about the Past Hotels Restaurants And Many More! Are you ready to learn some Spanish phrases you can use right away? GREAT! Download the book now and start learning Spanish.

    Real stories about the patients, nurses, consulting physicians, and daily life of a busy Emergency Department. Get a glimpse inside the inner workings of an Emergency Department and the staff that works there, caring for patients and their families. From a toddler who can cuss a blue streak, a dead mouse brought into the Emergency Department, to critical resuscitations, these are stories that you will never forget.

    I searched for many years only to find that what I had been searching for, had been right in front of me all along.

    Throw in the St. Valentine’s Day Massacre and the murders of John F. Kennedy, Lee Harvey Oswald, Marilyn Monroe, Bugsy Siegel, Sam Giancana, Lucky Luciano, Tony the Ant Spilotro, Johnny Roselli and Jimmy Hoffa. Toss in Hollywood scandal and the mobbed up career of Frank Sinatra and his Rat Pack. Now you can begin to grasp the epic story of Tony Accardo. Why has this story never been told? Accardo killed everyone in his path: family, friends, cops, reporters, movie stars, and politicians. Operating from deep within the shadows Tony influenced national policy, exploited the FBI, owned politicians, and fixed presidential elections. Connected to every gangster from Al Capone to Lucky Luciano to John Gotti, Joe Batters is the must-read that every Godfather fan is craving.

    The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    They are first- generation Americans, citizens of other nations, and lifelong New Yorkers. But they all share one thing: They honor their loved ones by living their lives with purpose, and a promise to never forget.These courageous family members share their grief and loss-and hope- speaking in their own words, with love, courage, and strength enough to inspire us all.