The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    The manuscript was a palimpsest-a book made from an earlier codex whose script had been scraped off and the pages used again. Behind the script of the thirteenth-century monk's prayer book, the palimpsest revealed the faint writing of a much older, tenth-century manuscript. Part archaeological detective story, part science, and part history, The Archimedes Codex tells the extraordinary story of this lost manuscript, from its tenth-century creation in Constantinople to the auction block at Christie's, and how a team of scholars used the latest imaging technology to reveal and decipher the original text. What they found was the earliest surviving manuscript by Archimedes (287 b.c.-212 b.c.), the greatest mathematician of antiquity-a manuscript that revealed, for the first time, the full range of his mathematical genius, which was two thousand years ahead of modern science.

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

    He died in 1965 virtually unrecognized, yet in the following years his work and thought have attracted and intrigued an international audience. Now this comprehensive biography gives a pivotal poet his due. Based on interviews with scores of Spicer's contemporaries, Poet Be Like God details the most intimate aspects of Spicer's life-his family, his friends, his lovers-illuminating not only the man but also many of his poems. Such illumination extends also to the works of others whom Spicer came to know, including the writers Frank O'Hara, Robert Duncan, Denise Levertov, Helen Adam, Robin Blaser, Charles Olson, Philip K. Dick, Richard Brautigan, and Marianne Moore and the painters Jess, Fran Herndon, and Jay DeFeo. The resulting narrative, an engaging chronicle of the San Francisco Renaissance and the emergence of the North Beach gay scene during the 50s and 60s, will be indispensable reading for students of American literature and gay studies.

    Since its foundation in 1919, Leeds United Football Club has seen more ups and downs than most, rising to global fame through an inimitable and uncompromising style in the 70s, clinching the last Division One title of the pre-Sky Sports era in 1992, before becoming the epitome of financial mismanagement at the start of the 21st century. Despite this demise, United remains one of the best supported – and most divisive – clubs in football, with supporters’ clubs dotted across the globe. In 100 Years of Leeds United, Chapman delves deep into the archives to discover the lesser-known episodes, providing fresh context to the folkloric tales that have shaped the club we know today, painting the definitive picture of the West Yorkshire giants.

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    To reach this unique audience, Whitlock and Schluter motivate learning with interesting biological and medical examples; they emphasize intuitive understanding; and they focus on real data. The book covers basic topics in introductory statistics, including graphs, confidence intervals, hypothesis testing, comparison of means, regression, and designing experiments. It also introduces the principles behind such modern topics as likelihood, linear models, meta-analysis and computer-intensive methods. Instructors and students consistently praise the book's clear and engaging writing, strong visualization techniques, and its variety of fascinating and relevant biological examples.

    Unfortunately, the subject has gained a notorious reputation for difficulty, with forbidding looking mathematics and a peculiar diagrammatic language described in an array of unforgiving, weighty textbooks aimed firmly at aspiring professionals. However, quantum field theory is too important, too beautiful, and too engaging to be restricted to the professionals. This book on quantum field theory is designed to be different. It is written by experimental physicists and aims to provide the interested amateur with a bridge from undergraduate physics to quantum field theory. The imagined reader is a gifted amateur, possessing a curious and adaptable mind, looking to be told an entertaining and intellectually stimulating story, but who will not feel patronised if a few mathematical niceties are spelled out in detail. Using numerous worked examples, diagrams, and careful physically motivated explanations, this book will smooth the path towards understanding the radically different and revolutionary view of the physical world that quantum field theory provides, and which all physicists should have the opportunity to experience.To request a copy of the Solutions Manual, visit http: //global.oup.com/uk/academic/physics/ad....

    And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

    The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Presents 100 gripping case studies of the worst killers of all time.

    You see, those Gospels were written for first century readers already familiar with many of the persons, places, parties, and politics that colored events in those long-past days. Not so modern readers, twenty centuries later! Which is why Fr. Ralph Gorman has here crafted for us a single detailed narrative out of the four Gospels, weaving into his narrative relevant Old Testament passages and prophecies, and facts from Jewish and Roman history, laws, beliefs, traditions, and practices, plus helpful first century military, political, geographical, and archaeological information. Faithful to the Gospels while drawing on the best commentaries on them in English, Latin, French, German, and Italian, these rich pages provide you a refreshing reading of the Gospels supplemented by reliable archaeological, historical, and theological information about the period, places, and persons involved. Plus, you have the benefit of Fr. Gorman's keen depictions of the Gospel places based on his three years' residence there.You can read this book straight through, or one chapter a day as spiritual reading before Mass or during Lent. Either way, you'll come to understand better the malice of the crowds, the dismay and confusion of Christ's friends, and the speed with which the deadly events unfolded. Most of all, you'll come to grasp anew the depths of Christ's love for you, awakening in you greater devotion to Him than ever before.

    He decried the internment of Japanese-Americans in World War Two, agitated against nuclear weapons, promoted vitamin C as a cure for the common cold and researched the idea of DNA.