Iterative Solution of Large Linear Systems describes the systematic development of a substantial portion of the theory of iterative methods for solving large linear systems, with emphasis on practical techniques. The focal point of the book is an analysis of the convergence properties of the successive overrelaxation (SOR) method as applied to a linear system where the matrix is "consistently ordered". Comprised of 18 chapters, this volume begins by showing how the solution of a certain partial differential equation by finite difference methods leads to a large linear system with a sparse matrix. The next chapter reviews matrix theory and the properties of matrices, as well as several theorems of matrix theory without proof. A number of iterative methods, including the SOR method, are then considered. Convergence theorems are also given for various iterative methods under certain assumptions on the matrix A of the system. Subsequent chapters deal with the eigenvalues of the SOR method for consistently ordered matrices; the optimum relaxation factor; nonstationary linear iterative methods; and semi-iterative methods. This book will be of interest to students and practitioners in the fields of computer science and applied mathematics.
This book provides an introduction to matrix theory and aims to provide a clear and concise exposition of the basic ideas, results and techniques in the subject. Complete proofs are given, and no knowledge beyond high school mathematics is necessary. The book includes many examples, applications and exercises for the reader, so that it can used both by students interested in theory and those who are mainly interested in learning the techniques.
The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.
Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to multiple examples, lemmas, theorems, corollaries, andproofs. Each chapter features numerous supplemental exercises, and solutions to selected problems appear at the end. 1988 edition"--
Jordan has long served as a pivot between moderate pro-Western states and radical anti-American states in the Middle East. As the United States pursues a policy of 'regime change' in Iraq, the economic, social, and political effects on Jordan will be pervasive. In this timely and important work, David Schenker, an expert on Middle Eastern politics, examines the complex historical relationship between Jordan and Iraq and presents recommendations for U.S. policy toward Jordan. This book is essential reading for scholars of international relations and U.S. policy makers.
Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics.
This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.
Solutions Manual to accompany Fundamentals of Matrix Analysis with Applications—an accessible and clear introduction to linear algebra with a focus on matrices and engineering applications.
Invitation to Linear Algebra is an informative, clearly written, flexible textbook for instructors and students. Based on over 30 years of experience as a mathematics professor, the author invites students to develop a more informed understanding of complex algebraic concepts using innovative, easy-to-follow methods. The book is organized into lessons rather than chapters. This limits the size of the mathematical morsels that students must digest, making it easier for instructors to budget class time. Each definition is carefully explained with detailed proofs of key theorems, including motivation for each step. This makes the book more flexible, allowing instructors to choose material that reflects their and their students’ interests. A larger than normal amount of exercises illustrate how linear and nonlinear algebra apply in the students’ areas of study. Features The book’s unique lesson format enables students to better understand algebraic concepts Students will learn key elements of linear algebra in an enjoyable fashion Large number of exercises illustrate the applications of the course material Allows instructors to create a course around individual lessons Detailed solutions and hints are provided to selected exercises
America and Canada both saw historic sports milestones in 1993. While the Dallas Cowboys and Chicago Bulls reigned supreme, the Toronto Blue Jays won a second consecutive World Series on a walk-off homer, and the Montreal Canadiens emerged as the last Canadian team to win a Stanley Cup. While stars like Michael Jordan, Wayne Gretzky and Joe Montana overcame physical and emotional challenges to make history, teams were performing unprecedented feats, from the Buffalo Bills' unrivaled comeback on Wild Card Weekend to the Baltimore Orioles' unveiling of their transformative ballpark design during All-Star Week. Drawing on original interviews with dozens of former players and coaches, this book revisits an exceptional sports year for fans across North America, with memorable stories involving some of the most iconic sports figures of the 1990s.
The Pulitzer Prize–winning journalist looks at the life and times of the Chicago Bulls superstar— “The best Jordan book so far” (The Washington Post). One of sport’s biggest superstars, Michael Jordan is more than an internationally renowned athlete. As illuminated through David Halberstam’s trademark balance of impeccable research and fascinating storytelling, Jordan symbolizes the apex of the National Basketball Association’s coming of age. Long before multimillion-dollar signings and lucrative endorsements, NBA players worked in relative obscurity, with most games woefully unattended and rarely broadcast on television. Then came Larry Bird and Magic Johnson, Jordan’s two great predecessors, and the game’s status changed. The new era capitalized on Jordan’s talent, will power, and unrivaled competiveness. In Playing for Keeps, Halberstam is at his investigative best, delving into Jordan’s expansive world of teammates and coaches. The result is a gripping story of the athlete and media powerhouse who changed a game forever. This ebook features an extended biography of David Halberstam.
If you need the short answer to a Section 1983 question, and you can't afford to waste time running down the wrong research path, turn to the Handbook of Section 1983 Litigation, 2012 Edition. This essential guide is designed as the practitioner's desk book. It provides quick and concise answers to issues that frequently arise in Section 1983 cases, from police misconduct to affirmative actions to gender and race discrimination. It is organized to help you quickly find the specific information you need whether you're counsel for the plaintiff or defendant. You will find a clear, concise statement of the law governing every aspect of a Section 1983 claim, extensive citation to legal authority, every major Supreme Court ruling on Section 1983, as well as key opinions in every circuit, and a detailed overview of case law. The Handbook of Section 1983 Litigation, 2012 Edition is written by David Lee, a practicing expert with 20 years of litigation experience. He has lectured on civil rights topics before thousands of litigators during his career, and argued four cases before the United States Supreme Court, as well as numerous cases before the Tenth Circuit Court of Appeals. This new updated 2012 Edition features coverage of recent important Section 1983 U.S. Supreme Court cases including: Skinner v. Switzer Arizona Christian School Tuition Organization v. Winn Camreta v. Greene NASA v. Nelson Connick v. Thompson Brown v. Plata Swarthout v. Cook Turner v. Rogers Duryea v. Guarnieri Arizona Free Enterprise Club's Freedom Club PAC v. Bennett Brown v. Entertainment Merchants Association Ortiz v. Jordan Fox v. Vice This is the one reference to keep at your fingertips at a hearing, trial, or deposition when dealing with Section 1983 cases.
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text (www.math.duke.edu/ode-book). Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).
Since its creation, the State of Israel has been a magnet for attention. A country beset by conflict in its region and faced with the need to integrate mainly Jewish immigrants of disparate backgrounds into a modern and advanced democratic state and society, Israel has preoccupied observers, scholars and journalists since its independence in May 1948. Although a Jewish state Israel is also a democratic state that guarantees the rights of all of its citizens, including its large Arab and Moslem minority, in law and in practice. Israel and its modern history and politics have been the subject of substantial and often highly partisan literature, being hotly and vigorously debated both at home and abroad. This third edition of Historical Dictionary of Israel contains a chronology, an introduction, appendixes, and an extensive bibliography. The dictionary section has over 1100 cross-referenced entries onsignificant persons, places, events, government institutions, political parties, and battles, as well as entries on Israel’s economy, society, and culture. This book is an excellent access point for students, researchers, and anyone wanting to know more about the various diplomatic and political personalities, institutions, organizations, events, concepts, and documents that together define the political life of the Jewish state of Israel.
Peter David, award-winning writer of comic books, novels, television, films and video games, has boatloads of stories to tell about his 30-year career. Whether it was attending George Takei's wedding, being described as Will Smith's bodyguard, or wandering around on the set of Babylon 5, David has been telling anecdotes of his life for years. Here they are all in one place, along with the story of a career that has taken him from writing Marvel Comics' Incredible Hulk for twelve years to adventures in the Star Trek universe to the New York Times bestseller list.
Adam Nunn's search for his true identity has horrifying consequences in this compelling psychological thriller. A badly mutilated body has been discovered in a remote woodland pond on the Essex borders – a location known to be the haunt of the ruthless crime gang that ruled London in the 70s. When one of the victim's hands is found nearby, forensic tests reveal a number scrawled on the palm. It is quickly identified as the National Insurance number of struggling family man Adam Nunn. As Adam is arrested in connection with the murder, it emerges that the dead man was a private investigator he had hired to find out the identity of his birth parents. Just what did Larry Paris discover that got him killed? As Adam seeks the truth surrounding his origins and promises justice for the mother he never knew, he is drawn into a lurid criminal world of violence and violation, reprisal and merciless death. Torn between the man he wants to be and the man he fears becoming, Adam's investigations will lead him ever deeper into darkness.
An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.
Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
This book provides an introduction to matrix theory and aims to provide a clear and concise exposition of the basic ideas, results and techniques in the subject. Complete proofs are given, and no knowledge beyond high school mathematics is necessary. The book includes many examples, applications and exercises for the reader, so that it can used both by students interested in theory and those who are mainly interested in learning the techniques.
Features of Kentucky Real Estate License Exam Prep (KY-RELEP): National Principles & Law Key Point Review (60 pages) Real Estate Math Key Formula Review & Practice (20 pages) Kentucky-Specific Laws and Practices (40 pages) National Practice Tests (500 questions) Kentucky Practice Tests (120 questions) Kentucky Sample Exam (100 questions) We know the real estate licensing exam can be tough, and very nerve-wracking to prepare for. That’s why we created Kentucky Real Estate License Exam Prep (KY-RELEP) the way we did. Since we have been managing real estate schools and developing curriculum for forty years, we know how all this works – or fails to work. KY-RELEP is comprehensive in that it contains both key content review and testing practice. And the text review is Kentucky-specific – not just simplistic national content, but terse, relevant and accurate Kentucky laws and regulations presented as a well-organized set of state ‘key point reviews’ ideal for pre-test memorization. But let’s not dismiss the importance of the national content either. KY-RELEP’s national key point reviews are a succinct compression of tested national principles and practices that comprise the national portion of state license exams from coast to coast. Our content is drawn from our own national textbook, Principles of Real Estate Practice – one of the most widely used principles textbooks in the country. Finally, our national content, as well as our question selection, is further tailored to the state testing outline promulgated by PSI for Kentucky. Thus the breadth and depth of the law reviews and test questions reflect the topic emphasis of your state’s testing service and your Kentucky license exam. A word about the test questions… KY-RELEP’s testing practice section consists of ten national practice tests, six state practice tests, and one state exam sample test. The practice tests are roughly 50 questions in length and the sample test is 100 questions. The test questions are designed to cover the content covered by the law reviews – which reinforces your learning of the total body of information tested by your state exam. The questions are direct, to the point, and designed to test your understanding. When you have completed a given test, you can check your answers against the answer key in the appendix. You may also note that each question’s answer is accompanied by a brief explanation, or “rationale” to further reinforce your understanding. In the end, as you know, it’s all up to you. Unlike other publications, we are not going to tell you that using this book will guarantee that you pass your state exam. It still takes hard work and study to pass. But we have done our best here to get you ready. Following that, the most we can do is wish you the best of success in taking and passing your Kentucky real estate exam. So good luck!!
This “fresh, amusing, 21st-century guide to everything Scrabble” is chock full of game history, trivia, and peculiar, game-winning words (Will Shortz). Scrabble® aficionados may know that both “Brr” and “Brrr” are legitimate plays, but what about everyday names like Peter, Carl, and Marge? They’re not listed as proper nouns, but they are certainly playable. For lovers of Scrabble®, Bananagrams®, and Words with Friends®, this lively guide helps readers get the most out of word games. Is That a Word? is packed with new ways to remember the best words alongside tips for improving game play and much more. Part strategy guide and part celebration of all things wordy, this collection of facts, tips, and surprising lists of playable words will instruct and delight the letterati.
This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Morning headlines announce renewed violence and fresh calls for peace negotiations, while pundits on talk radio and cable TV shout conflicting opinions at anyone who will listen. Between perplexing contradictions and inflammatory rhetoric, it is often difficult to find out what's really going on in the Middle East. Former TIME magazine Jerusalem bureau chief David Aikman, who has spent decades reporting on Mid-East issues, takes a sober, balanced look at a region aflame. He brings a journalist's mind and a believer's heart to his exploration of the political and religious factors in play, and goes beyond the media's chronic oversimplification to carefully examine recent history and the leaders who have made that history. Aikman turns a critical eye on the policies of the region's prime players, resorting neither to blind pro-Israeli sentiment nor to reactionary pro-Palestinian bias. He challenges fellow Christians to a similar approach to the Middle East: respect, reason, and love, rather than unqualified tolerance on the one hand or religious crusading on the other. Discover the truth behind the headlines: God's restoring hand is at work in a region of the world torn apart by centuries of strife.
This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
This is the first truly comprehensive and thorough history of the development of a mathematical community in the United States and Canada. This second volume starts at the turn of the twentieth century with a mathematical community that is firmly established and traces its growth over the next forty years, at the end of which the American mathematical community is pre-eminent in the world. In the preface to the first volume of this work Zitarelli reveals his animating philosophy, I find that the human factor lends life and vitality to any subject. History of mathematics, in the Zitarelli conception, is not just a collection of abstract ideas and their development. It is a community of people and practices joining together to understand, perpetuate, and advance those ideas and each other. Telling the story of mathematics means telling the stories of these people: their accomplishments and triumphs; the institutions and structures they built; their interpersonal and scientific interactions; and their failures and shortcomings. One of the most hopeful developments of the period 19001941 in American mathematics was the opening of the community to previously excluded populations. Increasing numbers of women were welcomed into mathematics, many of whomincluding Anna Pell Wheeler, Olive Hazlett, and Mayme Logsdonare profiled in these pages. Black mathematicians were often systemically excluded during this period, but, in spite of the obstacles, Elbert Frank Cox, Dudley Woodard, David Blackwell, and others built careers of significant accomplishment that are described here. The effect on the substantial community of European immigrants is detailed through the stories of dozens of individuals. In clear and compelling prose Zitarelli, Dumbaugh, and Kennedy spin a tale accessible to experts, general readers, and anyone interested in the history of science in North America.
A prominent lawyer colorfully recounts a lost and lamented era in Texas politics: “Fascinating . . . Vivid, insightful commentary.” —Houston Chronicle Once upon a time in Texas, there were liberal activists of various stripes who sought to make the state more tolerant (and more tolerable). David Richards was one of them. In this fast-paced, often humorous memoir, he remembers the players, the strategy sessions, the legal and political battles, and the wins and losses that brought significant gains in civil rights, voter rights, labor law, and civil liberties to the people of Texas from the 1950s to the 1990s. In his work as a lawyer, Richards was involved in cases addressing the historic exclusion of minority voters; inequity in school funding; free speech violations, and more. In telling these stories, he vividly evokes the glory days of Austin liberalism, when a who’s who of Texas activists plotted strategy at watering holes such as Scholz Garden and the Armadillo World Headquarters or on raft trips down the Rio Grande and Guadalupe Rivers. Likewise, he offers vivid portraits of liberal politicians from Ralph Yarborough to Ann Richards (his former wife), progressive journalists such as Molly Ivins and the Texas Observer staff, and the hippies, hellraisers, and musicians who all challenged Texas’s conservative status quo. Written with an insider’s insights, this book records “a sweeter time when a free-associating bunch of ragtag Texans took on the establishment.” “An invaluable memoir of the time.” —Journal of Southern History Includes photos
This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.
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