Найти книгу: "The Last Theorem"

The final work from the brightest star in science fiction’s galaxy. Arthur C Clarke, who predicted the advent of communication satellites and author of 2001: A Space Odyssey completes a lifetime career in science fiction with a masterwork.30 light years away, a race known simply as the One Point Fives are plotting a dangerous invasion plan, one that will wipe humankind off the face of the Earth…Meanwhile, in Sri Lanka, a young astronomy student, Ranjit Subramanian, becomes obsessed with a three-hundred-year-old theorem that promises to unlock the secrets of the universe. While Ranjit studies the problem, tensions grow between the nations of the world and a UN taskforce headed up by China, America and Russia code-named Silent Thunder begins bombing volatile regimes into submission.On the eve of the invasion of Earth a space elevator is completed, helped in part by Ranjit, which will herald a new type of Olympics to be held on the Moon. But when alien forces arrive Ranjit is forced to question his own actions, in a bid to save the lives of not just his own family but of all of humankind.Co-written with fellow grand master Frederik Pohl, The Last Theorem not only provides a fitting end to the career one of the most famous names in science fiction but also sets a new benchmark in contemporary prescient science fiction. It tackles with ease epic themes as diverse as third world poverty, the atrocities of modern warfare in a post-nuclear age, space elevators, pure mathematics and mankind’s first contact with extra-terrestrials.

The extraordinary story of the solving of a puzzle that has confounded mathematicians since the 17th century. The solution of Fermat’s Last Theorem is the most important mathematical development of the 20th century.In 1963 a schoolboy browsing in his local library stumbled across the world’s greatest mathematical problem: Fermat’s Last Theorem, a puzzle that every child can understand but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed that he would crack it. Wiles’s lifelong obsession with a seemingly simple challenge set by a long-dead Frenchman is an emotional tale of sacrifice and extraordinary determination. In the end, Wiles was forced to work in secrecy and isolation for seven years, harnessing all the power of modern maths to achieve his childhood dream. Many before him had tried and failed, including a 18-century philanderer who was killed in a duel. An 18-century Frenchwoman made a major breakthrough in solving the riddle, but she had to attend maths lectures at the Ecole Polytechnique disguised as a man since women were forbidden entry to the school. A remarkable story of human endeavour and intellectual brilliance over three centuries, Fermat ‘s Last Theorem will fascinate both specialist and general readers.

A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics. This essential book: * Clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs * Reinforces the foundations of calculus and algebra * Explores how to use both a direct and indirect proof to prove a theorem * Presents the basic properties of real numbers * Discusses how to use mathematical induction to prove a theorem * Identifies the different types of theorems * Explains how to write a clear and understandable proof * Covers the basic structure of modern mathematics and the key components of modern mathematics A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proofs. In addition, the author has supplied many clear and detailed algorithms that outline these proofs. Theorems, Corollaries, Lemmas, and Methods of Proof uniquely introduces scratch work as an indispensable part of the proof process, encouraging students to use scratch work and creative thinking as the first steps in their attempt to prove a theorem. Once their scratch work successfully demonstrates the truth of the theorem, the proof can be written in a clear and concise fashion. The basic structure of modern mathematics is discussed, and each of the key components of modern mathematics is defined. Numerous exercises are included in each chapter, covering a wide range of topics with varied levels of difficulty. Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra.

Approximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of «probability» theorems to obtain «statistical» theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: * The tools and foundations that are basic to asymptotic theory in statistics * The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence * Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding's U-statistics and R. von Mises's «differentiable statistical functions» * Statistics obtained as solutions of equations («M-estimates»), linear functions of order statistics («L-statistics»), and rank statistics («R-statistics») * Use of influence curves * Approaches toward asymptotic relative efficiency of statistical test procedures