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.

    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

    In desperation, your heart continuously screams out for comfort. The comfort you repeatedly deny it. You refuse to see things for what they are. On the easel of your heart, you continue to paint a delusion. Eventually, becoming unable to distinguish fantasy from reality. Love is Painless. And when you lack the inspiration or the courage to paint a new picture, let these words paint a vivid one for you. Let these words help you stand in truth.

    Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C

    Groundbreaking in every way when first published, this book is a simple, straightforward, direct calculus text. It's popularity is directly due to its broad use of applications, the easy-to-understand writing style, and the wealth of examples and exercises which reinforce conceptualization of the subject matter. The author wrote this text with three objectives in mind. The first was to make the book more student-oriented by expanding discussions and providing more examples and figures to help clarify concepts. To further aid students, guidelines for solving problems were added in many sections of the text. The second objective was to stress the usefulness of calculus by means of modern applications of derivatives and integrals. The third objective, to make the text as accurate and error-free as possible, was accomplished by a careful examination of the exposition, combined with a thorough checking of each example and exercise.

    The patriarch, Paul scratched and crawled his way from the bottom to the top, literally since he started life in the mean streets of New York City. He escaped to the south and attended college in Atlanta. His high IQ and street smarts gave him an advantage in both law school and beyond. Years later he is now the premier lawyer for the city's premier criminals. A law degree wasn't the only thing he picked up in school. While there he also caught the attention of a prim and proper co-ed by the name of Madison. Madison was a beautiful chocolate colored girl with an angelic smile. Holding tightly to her chastity made her highly sought after. Paul patiently played his position and beat out all his competition. The couple married and moved to an upscale subdivision in one of Atlanta's exclusive suburbs. There they raised two perfect children in the perfect house. Son Brandon just graduated his parent's alma mater and is now on his way to medical school. Daughter Courtney is right behind him planning to attend the same institution before heading to law school just like their father. Yes, just like any other American family in search of the American dream and just like any other family they have more than their share of drama. After all, every family has it's share of Family Drama.

    Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.

    He decides to run for the Presidency against the incumbent, and sets in motion a series of events that will change his life and steal part of his soul. Maxwell finds this campaign requires media manipulation and dirty tricks that pull out all the stops, while learning that power, money and sex are interchangeable in American politics. Success usually comes with a price, but is Maxwell willing to pay it? And will it cost him the woman he loves? Meanwhile, reporter Jillian Turner sells her soul to save her career, then finds herself intoxicated with the man running for the White House and caught in a network plot to control the election. The Race is a look at the aphrodisiac known as political power, the media’s role in politics, and one man’s internal battle between good and evil. (After The Race, enjoy a few sample chapters of Nick Harlow's newest thriller ENDGAME)

     German naval competition and the construction of ever greater fleets of Dreadnoughts, and the restlessness of new social pressures, take their toll, and Buller especially finds himself at once in the throes of domestic crisis and an undeclared security war with the nation’s future enemy. So much lands on the shoulder of two men, will the two handle the pressure or will this break the duo apart? This sequel to the highly praised Buller's Guns concludes on the high note of the first pursuit and clash of mighty Dreadnoughts in the North Sea. Buller’s Dreadnought is a thrilling and dramatic account of the challenges posed by the Edwardian age and the First World War. Praise for Richard Hough: ‘Solid entertainment for fans of period naval action’ – Kirkus Review ‘Hough is a good storyteller with a refreshing, breezy style’ – The Wall Street Journal ‘Hough is shrewd and subtle’ – The Sunday Telegraph Richard Hough, the distinguished naval historian and winner of the Daily Express Best Book of the Sea Award (1972), was the author of many acclaimed books in the field including ‘Admirals in Collision’, ‘The Great War at Sea: 1914-18’, and ‘The Longest Battle: The War at Sea 1939-45’. He was also the biographer of Mountbatten, and his last biography, ‘Captain James Cook’, became a world bestseller.

    Stabbings, rapes, and assaults are on the increase, an escape leaves officers looking for answers, a prisoner does the unthinkable, strip searching is taken to another level and exactly how does an officer smuggle alcohol in? This is life behind the walls as told by a real correctional officer.

    Everybody hates them. But there are a lot of people who love them. Rasheeda is one masterful soul food chef with a secret down south recipe for Chicago's best chitlins. Owner and operator of Miss Evey's, an upscale soul food eatery on Chicago's South Side, she meets the seemingly gregarious yet cunning player Krey'Shawn who has plans to slime his way into her life. But little does Krey'Shawn know that Rasheeda already prepared a secret recipe for him. READ MORE in THIS HOE EATS CHITLINS by bestselling author Quan Millz & Stormy Reddick.

    

    For over forty-two years the space probe has raced away from Earth at thirty-eight thousand miles per hour—past Mars, Jupiter, Saturn, Uranus, Neptune, cruising past Pluto and the furthest fringes of our Solar System. On August 25th, 2012, Voyager 1 accomplished what no other human designed device had ever done. The probe ventured into deep interstellar space. Over thirteen billion miles away!Impossibly, now the spacecraft is returning to Earth, traveling at nearly one/thirty-seventh the speed of light. In thirty-one days, Voyager 1 will arrive home.And it’s bringing an uninvited guest!https://www.amazon.com/Guest-Alan-Nay...