There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science. The results have been truly exciting: systems which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. Scientists and engineers realize the power and the beauty of the geometric and qualitative techniques. These techniques apply to a number of important nonlinear problems ranging from physics and chemistry to ecology and economics. Computer graphics have allowed us to view the dynamical behavior geometrically. The appearance of incredibly beautiful and intricate objects such as the Mandelbrot set, the Julia set, and other fractals have really piqued interest in the field. This is text is aimed primarily at advanced undergraduate and beginning graduate students. Throughout, the author emphasizes the mathematical aspects of the theory of discrete dynamical systems, not the many and diverse applications of this theory. The field of dynamical systems and especially the study of chaotic systems has been hailed as one of the important breakthroughs in science in the past century and its importance continues to expand. There is no question that the field is becoming more and more important in a variety of scientific disciplines. New to this edition: •Greatly expanded coverage complex dynamics now in Chapter 2 •The third chapter is now devoted to higher dimensional dynamical systems. •Chapters 2 and 3 are independent of one another. •New exercises have been added throughout.
A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level to pursue. The only prerequisite for students is a one-year calculus course (no differential equations required); students will easily be exposed to many interesting areas of current research. This course can also serve as a bridge between the low-level, often non-rigorous calculus courses, and the more demanding higher-level mathematics courses. Features More extensive coverage of fractals, including objects like the Sierpinski carpet and others that appear as Julia sets in the later sections on complex dynamics, as well as an actual chaos "game." More detailed coverage of complex dynamical systems like the quadratic family and the exponential maps. New sections on other complex dynamical systems like rational maps. A number of new and expanded computer experiments for students to perform. About the Author Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.
The Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets, held at the Joint Mathematics Meetings in Cincinnati in January 1994. The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.
Glasgow, 1971. The old way of life is under threat for the tight-knit community in Dalbeattie Street, Maryhill. The shadow of the wrecker's ball looms large over their homes, and they must face the choice of moving to a new estate or dispersing throughout the city. But powerful friendships refuse to be broken. These characters have gone through too much together to be destroyed by some measly planning scheme. They'll face this with the same inimitable Scottish humour and strength of spirit that have carried them through other tough times. Douglas' vivid portrait of Seventies Glasgow recreates, in glorious detail, a particular time and place, but at its heart are the universal themes of love, friendship and community.
This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
In the 150 years of college football history, the national championship has been decided by unanimous vote only 33 times. This book analyzes the various methods of selecting these champions and what made the teams special. Drawing on archives and early published works, a firsthand description of the 1869 inaugural game between Princeton and Rutgers is provided, along with details of how these earliest teams were managed. The contributions and innovations of Walter Camp, the "Father of Football," are explored, as is the evolution of the game itself. Each unanimous season since the turn of the 20th century--from Yale in 1900 to LSU in 2019--is covered in detail, with a brief history of each school's football program. The question "is there a best ever team" is explored.
This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.
The Fourth Edition of Mergers and Acquisitions: Law and Finance, written by Robert B. Thompson, a leading scholar and teacher in the field, equips students with the legal rules and economic and financial principles they will need to help clients make key strategic choices during an acquisition. Mergers and Acquisitions: Law and Finance offers up-to-date and rich, yet succinct, coverage with the perfect mix of theory and practice. New to the Fourth Edition: The 2021 anti-activist poison pill case (In re The Williams Company) Linking the introduction to tender offers in Chapter 3 as an anomaly to Delaware’s preferred approach to trust governance to directors setting the stage for Chapter 5 and the judicial acceptance of poison pills to address that anomaly Revising the presentation of Blasius as initially providing a necessary supplement to Unocal, but evolving into a rule that is “rarely” applied Akorn as illustrating the Delaware Chancery Court’s increasing case load of complex commercial cases in takeovers (as opposed to governance fights between shareholders and directors) Professors and students will benefit from: Stellar authorship Rich but accessible coverage of valuation Notes following each case that explain the legal and business reasoning for “The Deal” Materials on insider trading, poison pill, deal protection devices, activist shareholders
Founded in 1869, the University of Nebraska was given the awesome responsibility of educating a new state barely connected by roads and rail lines. Established as a comprehensive university, uniting the arts and sciences, commerce and agriculture, and open to all regardless of "age, sex, color, or nationality," it has as its motto Literis dedicata et omnibus artibus--dedicated to letters and all the arts. The University at first was confined to four city blocks and didn't have a building until 1871. Cows grazed the campus. But soon the high aspirations of the state began to be realized. Nebraska boasted the first department of psychology west of the Mississippi River, and its faculty included national prominent scholars like botanist Charles Bessey and linguist A. H. Edgren (later a member of the Nobel Commission). Willa Cather, Roscoe Pound, Mari Sandoz, and Louise Pound ranked among its early graduates. And it developed a reputation for excellence in collegiate athletics. Written by a beloved member of the faculty, this history shows both why Robert E. Knoll is so devoted to the University as well as the tests such devotion must endure. Its history is hardly one of placid growth and unimpeded progress. Its regents, administration, faculty, and students have periodically fought one another: sometimes over matters as crucial as the University's purpose, shape, and destination. More often, battles waged over personalities. It is to these personalities that Knoll directs most of his attention. The author focuses on the men and women who made a difference, for good or ill. He locates the University's place in the changing intellectual and academic context of the United States and charts its passage through hard times and prosperity. He notes the contributions of the University to Nebraska, from the early experiments in sugar beet cultivation to the national fame of its football team. Most important, its education of generations of Nebraskans has lifted state goals and achievement, and its outreach has made the University an international community.
Sophisticated yet accessible, Corporations and Other Business Associations: Cases and Materials balances economic and legal theory with a flexible organization, popular case selection, and engaging problems. Current users will recognize a familiar format with creative updates. New users will recognize a casebook easily adaptable for use in a typical Corporations or Business Associations course, ranging in length from three to five credit hours, and providing ample material from which an instructor may choose how much emphasis to give to particular topics. New to the Ninth Edition: O’Kelley and Thompson are excited to welcome Dorothy Lund as a co-author. Chapter 3 now ends with a set of four very teachable shareholder governance cases capturing the current state of play in public corporations. Chapter 4 blends new presentation of corporate purpose with revised discussion of benefit corporations, has emphasis on Directors’ monitoring responsibilities, and includes the Delaware Supreme Court opinions in Marchand v. Barnhill and the Walt Disney Shareholder Litigation (newly edited in response to user interest). Chapter 4 also incorporates developments in derivative litigation popularly referred to as “thedeath ofAronson.” Chapter 6 continues its leading and innovative treatment of LLCs, adding two new cases – Obeid v. Hogan and Manere v. Collins. Chapter 8 includes the seminal appraisal case – DFC Global Corporation v. Muirfield Value Partners, L.P. – and notes regarding important subsequent cases. Chapters 9, 10, and 11 contain newly edited versions of several classic cases, and expanded coverage of user favorites, including Time v. Paramount, Moran v. Household Finance, and the Blasius case. Professors and students will benefit from: Balance of theory, cases, and problems in which law and economic theory enriches without dominating the focus of the book Carefully edited and selected cases— both classic and contemporary cases Excellent and ample problems explore practical applications of theory in the business world Flexible organization easily adapts to different teaching approaches Strongest book on LLCs/LLPs and other business associations
Written by leading scholars and experts with extensive practice and teaching experience in the field, Comparative and Global Environmental Law and Policy offers a student-friendly approach to the study of a rapidly evolving and important area of law. Its multi-jurisdictional selection of judicial opinions and legal materials introduces students to the worldwide reach of environmental law. Through its substance, the book familiarizes students not only with governing and emerging legal principles but also demonstrates how legal norms are applied to specific issues and contexts, illustrating how law-on-the-books becomes law-in-action. Student understanding is reinforced by problem exercises and discussion questions. Professors and students will benefit from: A multi-jurisdictional selection of environmental law cases and regulatory materials from across the world, with many cases from the developing world and emerging economies. Separate chapters on rapidly evolving and critical topics such as rights of nature, sustainability, corporations and private environmental governance, human rights and the environment, and climate change. Presentation of basic background principles of environmental law, institutions, and governance and their operation in international, national and subnational systems, including indigenous governance systems. Emphasis across the book on issues of institutions and governance as well as enforcement and effectiveness. Judicial opinions providing an authoritative articulation of how legal principles are applied in various systems. Numerous problem exercises and discussion questions to introduce topics and reinforce concepts and materials. Integrated perspective on the relationship of international and transnational environmental law, national environmental law, environmental norms and principles in other settings such as in private environmental governance, and governance institutions.
Mountain Murder is the fifth entry in the Western Slope Mystery series. All are set in a fictionalized version of Colorado’s Western Slope. Mountain Murder opens on a high plateau late on a December afternoon where a Colorado Parks Ranger is checking snowmobiles for current registration stickers. He is about to quit for the day when a new group appears. They don’t have stickers, current or otherwise. As he asks for identification, he is shot in the back. The ranger’s death quickly grows from a county investigation to include C.W. Blakenship of the Colorado Bureau of Investigation, then expands to three county sheriff departments and the state police. When leads point to a Texas drug and weapons operation with ties to Mexican cartels, the FBI and the ATF also come into play. The hunt for the killers and stolen weapons plays out in high country snow and gunfire.
In this follow up to his critically acclaimed novel, Sunrise, Robert Crooke tells the heart-breaking story of a man unmoored by losses. The Earth and Its Sorrows is a novel about spiritual reassessment in the wake of tragedy. Two years after the death of his son, Paul, who was killed in a car accident, Ted Devaney visits an old Hudson Valley property he plans to sell. Overcome by memories, especially by a strong sense of Pauls presence, he defers the sale and decides to stay a few days, confusing and frightening his wife, Diana, and their daughter, Beth. Days become weeks, as old friends, neighbors, and estranged family members slowly gather around him. He meets Elena, his high school girlfriend, who has made her life in the place he left years before. His brother, Tom, arrives with bittersweet memories of his own about their boyhood summers in the valley. Slowly, Ted senses secrets and doubts plaguing his brother, his old girlfriendall of the people he meets in the valley, where his forgotten past lingers. And as he realizes the effect of his life on theirs, and theirs on his, he understands his fatesome questions the mind answers. Others, only the heart comprehends.
This is the story of our lives, and the drama surrounding our restaurant and bar. We spent years engrossed in laying the groundwork, which led to our ambition getting off the ground. We opened Bob’s Gridiron Grille and the Pigskin Pub in Lincoln, Nebraska, known worldwide as Cornhusker country. Totally convinced my one-of-a-kind collection of Nebraska football memorabilia would be a draw, I was dead wrong. This is not a how-to-book. How could it be? We failed. We’re not qualified to tell anybody anything, other than what we experienced. Nothing turned out the way we designed; instead, our dream turned into something out of a horror story. In telling this cautionary tale, our intent is not to rain on anyone’s parade, only to point out a few obstacles. Our sincere hope is what we have shared serves a purpose. We welcome you inside our old establishment, opening the doors one final time.
This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.
One of the great series in the history of the American detective story gets even better when Spenser is hired by a jilted bride to follow a cheating husband, only to cross paths with a detective hired to tail the two-timing wife. They aren't the most trusting couple in town, but as it turns out, they are the most dangerous.
The author presents a unified treatment of this highly interdisciplinary topic to help define the notion of cognitive radio. The book begins with addressing issues such as the fundamental system concept and basic mathematical tools such as spectrum sensing and machine learning, before moving on to more advanced concepts and discussions about the future of cognitive radio. From the fundamentals in spectrum sensing to the applications of cognitive algorithms to radio communications, and discussion of radio platforms and testbeds to show the applicability of the theory to practice, the author aims to provide an introduction to a fast moving topic for students and researchers seeking to develop a thorough understanding of cognitive radio networks. Examines basic mathematical tools before moving on to more advanced concepts and discussions about the future of cognitive radio Describe the fundamentals of cognitive radio, providing a step by step treatment of the topics to enable progressive learning Includes questions, exercises and suggestions for extra reading at the end of each chapter Topics covered in the book include: Spectrum Sensing: Basic Techniques; Cooperative Spectrum Sensing Wideband Spectrum Sensing; Agile Transmission Techniques: Orthogonal Frequency Division Multiplexing Multiple Input Multiple Output for Cognitive Radio; Convex Optimization for Cognitive Radio; Cognitive Core (I): Algorithms for Reasoning and Learning; Cognitive Core (II): Game Theory; Cognitive Radio Network IEEE 802.22: The First Cognitive Radio Wireless Regional Area Network Standard, and Radio Platforms and Testbeds.
This book challenges the widely held American belief in meritocracy—that people get out of the system what they put into it based on individual merit. Examining talent, attitude, work ethic, and character as elements of merit, the book also evaluates the effect of non-merit factors such as social status, race, heritage, and wealth on meritocracy. The third edition features a new section on “The Great Recession.”
This book is adapted and revised from the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems. How they work and much of their dynamics are described in this book. The asymptotically universal structure is found on small scales in phase-space and long time-scales. The key to understanding it is renormalisation, that is, looking at a system on successively smaller phase-space and longer time scales. Having presented this idea, the author briefly surveys the use of the idea of renormalisation in physics. The renormalisation picture is then presented as the key to understanding the transition from regular to chaotic motion in area-preserving maps. Although written ten years ago, the subject matter continues to interest many today. This updated version will be useful to both researchers and students.
This title introduces fans to the history of the Nebraska Cornhuskers football program. The title features informative sidebars, exciting photos, a timeline, team facts, a glossary, and an index. Aligned to Common Core Standards and correlated to state standards. SportsZone is an imprint of Abdo Publishing, a division of ABDO.
Spenser, one of the all-time great detectives, stars in these six brilliant mystery novels by Robert B. Parker. Includes: Potshot Widow's Walk Back Story Bad Business Cold Service School Days
Robert W. Snyder's Crossing Broadway tells how disparate groups overcame their mutual suspicions to rehabilitate housing, build new schools, restore parks, and work with the police to bring safety to streets racked by crime and fear. It shows how a neighborhood once nicknamed "Frankfurt on the Hudson" for its large population of German Jews became "Quisqueya Heights"—the home of the nation's largest Dominican community. The story of Washington Heights illuminates New York City's long passage from the Great Depression and World War II through the urban crisis to the globalization and economic inequality of the twenty-first century. Washington Heights residents played crucial roles in saving their neighborhood, but its future as a home for working-class and middle-class people is by no means assured. The growing gap between rich and poor in contemporary New York puts new pressure on the Heights as more affluent newcomers move into buildings that once sustained generations of wage earners and the owners of small businesses. Crossing Broadway is based on historical research, reporting, and oral histories. Its narrative is powered by the stories of real people whose lives illuminate what was won and lost in northern Manhattan's journey from the past to the present. A tribute to a great American neighborhood, this book shows how residents learned to cross Broadway—over the decades a boundary that has separated black and white, Jews and Irish, Dominican-born and American-born—and make common cause in pursuit of one of the most precious rights: the right to make a home and build a better life in New York City.
This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.
Differential Equations, Dynamical Systems, and an Introduction to Chaos, now in its third edition, covers the dynamical aspects of ordinary differential equations. It explores the relations between dynamical systems and certain fields outside pure mathematics, and continues to be the standard textbook for advanced undergraduate and graduate courses in this area.""Written for students with a background in calculus and elementary linear algebra, the text is rigorous yet accessible and contains examples and explorations to reinforce learning." - BACK COVER.
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 6-7, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z -> z2 + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications. -- from dust jacket.
American Public Administration has been the go-to introductory textbook for Public Administration courses with a focus on civil society for the better part of two decades. Now in an extensively revised and updated third edition, authors Cropf and Wagner weave the most recent and compelling research throughout every chapter to give students a useful, in-depth understanding of the field today. Changes to this edition include: Three new chapters, including one on public administration’s role in community resilience, a second on public administration and public health, and a complete rewrite of the chapter on managing information resources in public organizations. Extended discussions about the importance of civil society in public administration as well as the growing role of information technology, including the role of government in combating misinformation and disinformation. New coverage of topics, including but not limited to: the need for better disaster and pandemic planning at all levels of government; a need for greater preparedness related to global climate change; the worsening of the wealth inequality gap in the United States; America’s changing role in the world’s economy; important efforts to achieve racial, economic, and social equality and the response from government; and the increasing and evolving relationship between police and the community in the United States. Fully updated pedagogical tools including chapter summaries, discussion questions, brief case studies, case study discussion questions, key terms, and suggestions for further reading in each chapter, as well as accompanying support material that can be easily incorporated into Learning Management Systems (LMS), including Canvas and Blackboard. Comprehensive, well-written, and offering a careful consideration of the fundamentals, American Public Administration, Third Edition is an ideal introductory text for courses at undergraduate or graduate level, offering students a broader civil society context in which to understand public service.
Principles of Adaptive Optics describes the foundations, principles, and applications of adaptive optics (AO) and its enabling technologies. Addressing the fundamentals of AO at the core of new uses in biomedical imaging, communications, high-energy lasers, and astronomy, this fully revised and significantly expanded Fourth Edition:Contains all-new
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