Discrete Mathematics is one of the fastest growing areas in mathematics today with an ever-increasing number of courses in schools and universities. Graphs and Applications is based on a highly successful Open University course and the authors have paid particular attention to the presentation, clarity and arrangement of the material, making it ideally suited for independent study and classroom use. Includes a large number of examples, problems and exercises.
First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.
Journalism in Marion County, Alabama got its start in April 1885 with the Marion County Herald. Soon other upstart papers sprang up to compete with the Herald. Over the years several newspapers vied for the dominant spot. This is the third volume of a series of books containing newspaper clippings from the earliest existing papers from Marion County. This volume covers the years 1897 through 1899. While the Marion County Herald began in 1885, the first two years are missing because of the courthouse fire which occurrred in 1887. The clippings contained in this volume concentrate with notes of births, marriages, and deaths. It also contains articles which were important to the history and growth of the county. The history of the county is written in the pages of its earliest newspapers. Read what the ancestors of the people of Marion County were doing and talking about.
In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence." What is it that makes Euler's identity, e]iPi + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; Pi an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.
The astonishing variety and beauty of mathematical elements in stamp design is brought to life in this collection of more than 350 stamps, illustrated with mathematical figures, people, and content, each reproduced in enlarged format, in full color. It's a perfect gift book for anyone interested in stamps, or in the surprising use of mathematics in the real world. The author is widely known in the math community for his regular column on stamps in the magazine The Mathematical Intelligencer.
How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Hematology, Immunology and Infectious Disease, a volume in Dr. Polin’s Neonatology: Questions and Controversies Series, offers expert authority on some of the toughest challenges you face in your practice. This medical reference book will help you provide better evidence-based care and improve patient outcomes with research on the latest advances. Reconsider how you handle difficult practice issues with coverage that addresses these topics head on and offers opinions from the leading experts in the field, supported by evidence whenever possible. Find information quickly and easily with a consistent chapter organization. Get the most authoritative advice available from world-class neonatologists who have the inside track on new trends and developments in neonatal care.
How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University of Illinois. Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their entire careers working on problems in graph theory, a few such as Hassler Whitney started there and then moved to work in other areas. Others, such as C. S. Peirce, Oswald Veblen, and George Birkhoff, made excursions into graph theory while continuing their focus elsewhere. Between the main chapters, the book provides short contextual interludes, describing how the American university system developed and how graph theory was progressing in Europe. Brief summaries of specific publications that influenced the subject’s development are also included. Graph Theory in America tells how a remarkable area of mathematics landed on American soil, took root, and flourished.
This book contains all the known marriages in Marion County, Alabama for a 43-year period between 1887 and 1930. Actual images from the official marriage books from the Hamilton courthouse were examined, abstracted, and presented within these pages. Marion County was established in 1818 with the courthouse at Pikeville. In 1881, the county seat was moved to Hamilton. The courthouse burned in April of 1887 and all the earliest marriage records were destroyed. This volume begins with the records which were kept following the catastrophic fire of 1887. Grooms names are alphabetized and the book contains a full name bride's index. It is hoped this volume contributes to the body of knowledge for Marion County--an important county in Northwest Alabama.
Cullman County was established in 1877 in large part from the west side of Blount and the east side of Winston counties. Today, the few old cemeteries which existed in those counties in the early days are found within the borders of Cullman. The cemetery listings in this four volume set were conducted by the author beginning in 2003 and ending in early 2006. An attempt was made to personally visit every cemetery in Cullman County and record information from each readable monument. Volume 1 of this series covers alphabetically cemeteries A through D, beginning with the Addington Chapel Cemetery and concluding with the Duck River Missionary Baptist Church Cemetery. The volumes are filled with photos of many of the old cemetery sites and notes describing the company and unit of most of the old Civil War era veterans. This set of books is vital to any serious student of Cullman County genealogy and history.
The analytical toxicologist may be required to detect, identify,and in many cases measure a wide variety of compounds in samplesfrom almost any part of the body or in related materials such asresidues in syringes or in soil. This book gives principles andpractical information on the analysis of drugs and poisons inbiological specimens, particularly clinical and forensic specimens. After providing some background information the book coversaspects of sample collection, transport, storage and disposal, andsample preparation. Analytical techniques - colour tests andspectrophotometry, chromatography and electrophoresis, massspectrometry, and immunoassay – are covered in depth, and achapter is devoted to the analysis of trace elements and toxicmetals. General aspects of method implementation/validation andlaboratory operation are detailed, as is the role of the toxicologylaboratory in validating and monitoring the performance of point ofcare testing (POCT) devices. The book concludes with reviews ofxenobiotic absorption, distribution and metabolism,pharmacokinetics, and general aspects of the interpretation ofanalytical toxicology results. A clearly written, practical, integrated approach to the basicsof analytical toxicology. Focuses on analytical, statistical and pharmacokineticprinciples rather than detailed applications. Assumes only a basic knowledge of analytical chemistry. An accompanying website provides additional material and linksto related sites. Written by an experienced team of authors,Fundamentals ofAnalytical Toxicology is an invaluable resource for thosestarting out in a career in analytical toxicology across a widerange of disciplines including clinical and forensic science, foodsafety, and pharmaceutical development. Praise from the reviews: “This is an ambitious effort to describe in detail themany and varied aspects of the science of toxicological analysis.The 17 chapters cover every foreseeable aspect, from specimencollection through analytical techniques and quality control topharmacological principles and interpretation of results. Theauthors bring together a great deal of experience in the field andhave succeeded admirably in achieving their goal: "to giveprinciples and practical information on the analysis of drugs,poisons and other relevant analytes in biological specimens...".The book is very readable and quite up-to-date, and contains manyillustrative figures, charts and tables. Both the student and thepracticing professional would do well to study this materialcarefully, as there is something here for every conceivable levelof interest.” Review from RandallBaselt "This text comes highly recommended for any analyticaltoxicology trainee." The Bulletin of the Royal College ofPathologists “Overall, this book provides a comprehensive, thorough,clear, up to date and practical treatment of analytical toxicologyat a high standard. Understanding of the text is enhanced bythe use of many illustrations. Specifications, guidelines,and methods are highlighted in grey background“Boxes”. The many and up to date literaturereferences in each chapter demonstrate the authors’ thoroughwork and permit easy access to deeper information. Thereforethis book can be highly recommended as a valuable source ofknowledge in analytical toxicology both as an introduction and forthe advanced reader.” GTFCh Bulletin“Toxichem + Krimtech”, May 2008 (translated,original review in German) “Many toxicologists will add this important referenceto their libraries because it competently fills a need...” International Journal of Toxicology “The book is very well illustrated, easy to understandand pleasant to read, and contains a wealth of dedicatedinformation.” International Journal of EnvironmentalAnalytical Chemistry
This book tells the sweeping story of the role that East African savannas played in human evolution, how people, livestock, and wildlife interact in the region today, and how these relationships might shift as the climate warms, the world globalizes, and human populations grow. Our ancient human ancestors were nurtured by African savannas, which today support pastoral peoples and the last remnants of great Pleistocene herds of large mammals. Why has this wildlife thrived best where they live side-by-side with humans? Ecologist Robin S. Reid delves into the evidence to find that herding is often compatible with wildlife, and that pastoral land use sometimes enriches savanna landscapes and encourages biodiversity. Her balanced, scientific, and accessible examination of the current state of the relationships among the region’s wildlife and people holds critical lessons for the future of conservation around the world.
On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.
This book contains all the marriages which took place in Blount County, Alabama between the years 1866 and 1919. Images of the original documents from the Blount County Court House were examined page by page and transcribed. Not only was the primary information recorded, but other significant details were gathered such as names of bondsmen, names of officials performing the ceremony, names and relationships of those granting permission, and the location of the ceremony. Plus, volumes and page numbers were recorded to provide for better documentation. Additionally, details of all licenses returned unexecuted were recorded. This book also contains those marriages recorded at the satellite Blount County court house at Bangor covering the years 1893 to 1901. This book is a handy tool for those with ancestors in Blount County, or those with ancestors in sections of Blount which became Cullman County.
Why we should take Bernard Mandeville seriously as a philosopher Bernard Mandeville’s The Fable of the Bees outraged its eighteenth-century audience by proclaiming that private vices lead to public prosperity. Today the work is best known as an early iteration of laissez-faire capitalism. In this book, Robin Douglass looks beyond the notoriety of Mandeville’s great work to reclaim its status as one of the most incisive philosophical studies of human nature and the origin of society in the Enlightenment era. Focusing on Mandeville’s moral, social, and political ideas, Douglass offers a revelatory account of why we should take Mandeville seriously as a philosopher. Douglass expertly reconstructs Mandeville’s theory of how self-centred individuals, who care for their reputation and social standing above all else, could live peacefully together in large societies. Pride and shame are the principal motives of human behaviour, on this account, with a large dose of hypocrisy and self-deception lying behind our moral practices. In his analysis, Douglass attends closely to the changes between different editions of the Fable; considers Mandeville’s arguments in light of objections and rival accounts from other eighteenth-century philosophers, including Shaftesbury, Hume, and Smith; and draws on more recent findings from social psychology. With this detailed and original reassessment of Mandeville’s philosophy, Douglass shows how The Fable of the Bees—by shining a light on the dark side of human nature—has the power to unsettle readers even today.
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory.
Writers in residence shows writing as a way in which a new place is explored and understood. Travellers recorded their adventures, and soldiers, judges, civil servants published writings, including poetry. The writers include Joel Polack, William Colenso, Edward Jerningham Wakefield, Frederick Maning, John Logan Campbell, Samuel Butler, Lady Barker, Blanche Baughan and Jessie Mackay.
Section one of the book explores the nature of the philosophy of education and its relation to other aspects of educational theory and research. Section two is devoted to particular thinkers of the past, and more general coverage of the history of philosophy of education. Section three is dedicated to contemporary philosophical thought on education, providing the basis and reference point for an exploration of contemporary issues. --
Mary Gordon Duffee wrote: "When the drums beat, and the bugles called for men to march to the front, I tell you old Blount responded nobly, and sent hundreds of her gallant sons to march, fight, suffer and die for the flag that now lies furled forever." This series of books attempts to identify all the Confederate soldiers who enlisted in organizations from the Blount County area, along with those who moved to Blount County after the Civil War. Whole company rosters are captured and entire service records, pension applications, birth dates, spouses and marriage dates, newspaper clippings and obituaries, and dozens of pictures are contained in these volumes. This is the first time ever all this information has been available in a single reference book. Volume 3 contains information on soldiers who enlisted in other Alabama organizations and those who moved to Blount County after the Civil War. These books are vital to any serious student of Blount County, Alabama genealogy and history.
This book contains newspaper clippings from the earliest Winston County, Alabama newspapers available. The clippings were transcribed from microfilm and from original issues located in the State Archives in Montgomery. Papers include the old Winston Herald, the Herald's political adversary called the Observer, and the successor to the Herald called the New Era. All available issues were studied and all mentions of births, deaths, marriages, and news items important to the history of Winston County were recorded and included in this volume. The book begins with a long and comprehensive essay on the history of newspaper publishing in Winston County. It ends with a full name index. This book is valuable to any serious student of Winston County genealogy and history.
Building foundational whole-number knowledge can help put K-5 students on the path to academic success and career readiness. Filling a gap for school practitioners, this book presents step-by-step guidelines for designing and implementing classwide, small-group, and individual interventions for mathematics difficulties. Effective procedures for screening, assessment, intervention selection, and progress monitoring are described and illustrated with detailed case vignettes. User-friendly features include 20 reproducible handouts and forms; the print book has a large-size format with lay-flat binding for easy photocopying. Purchasers get access to a Web page where they can download and print the reproducible materials. This book is in The Guilford Practical Intervention in the Schools Series, edited by T. Chris Riley-Tillman.
The most comprehensive and current evidence-based coverage of suicide treatment and assessment for mental health students and practitioners, this book prepares readers how to react when clients reveal suicidal thoughts and behaviors. The components of suicide assessments, empirically-supported treatments, and ethical and legal issues that may arise are reviewed. Vignettes, role play exercises, quizzes, and case studies engage readers to enhance learning. Highlights include: Provides everything one needs to know about evidence-based suicide treatments including crisis intervention, cognitive-behavioral, dialectical behavior, and interpersonal therapies, and motivational interviewing. Examines the risk of suicide ideation and behaviors across the lifespan (children, adolescents, adults, and the elderly) and across vulnerable populations (homeless, prisoners, and more). Considers suicide within the context of religion and spirituality, age, race and ethnicity including prevalence, trends, and risk factors. Explores ethical considerations such as informed consent, confidentiality, liability, and euthanasia. Reviews suicidal behaviors across demographics and diagnostic groups including depressive, bipolar, personality, substance-related, and schizophrenia-spectrum disorders. Individual and Small Group Exercises allow readers to consider their personal reactions to the material and how this might impact their clinical practice and compare their reactions with others. Case Examples that depict realistic scenarios that readers may encounter in practice. Role Plays that provide a chance to practice difficult scenarios that may arise when working with suicidal clients. Reviews key material in each chapter via Goals and Objectives, Knowledge Acquisition Tests, and Key Points to help students prepare for exams. Provides answers to the Knowledge Acquisition Tests in the instructor’s resources. New to this edition: Expanded coverage of suicide and mental illness, including updating to the DSM-5 and the addition of new
The cemeteries of Winston County contain the ancestors of the descendants who populate the county. They contain the remains of the earliest settlers, Civil War soldiers, early county officials and politicians, merchants, tradesmen, farmers, and their familes. Without their successful efforts to carve an existence out of the Winston County wildnerness, the rest of us would not be here. Much of the history of the county was written on the old tombstones found across the county. Volume I of this two volume series alphabetically covers Winston County Cemeteries A through L beginning with the Addison Church of God Cemetery and ending with the Liberty Grove Missionary Baptist Church Cemetery. The book contains dozens of pictures of the cemeteries plus hundreds of annotations which include sites of unmarked graves mentioned in newspaper accounts plus the company and unit of every known Civil War era soldier, both Union and Confederate. The book concludes with a full name index.
The Southern Democrat was established by Forney G. Stephens at Blountsville in 1894. After fellow newspaperman Lawrence H. Mathews of the Blount County News-Dispatch died in 1896, Stephens moved the Democrat to Oneonta. When the News-Dispatch folded in 1903, the Democrat was the preeminent Blount County newspaper. Stephens died in 1939, but the Democrat continued to publish in Oneonta for almost 100 years. In 1989 the old Southern Democrat was renamed the Blount Countain. Microfilm for the old Southern Democrat was acquired from the State Archives in Montgomery and studied page by page. Every mention of births, marriages, deaths, obituaries and news important to the history and development of Blount County was reproduced here. This book is vital for any serious student of Blount County, Alabama genealogy and history.
Blount County was carved out of the territory ceded to the State by the Creek Indians following their defeat at the Battle of Horseshoe Bend. The earliest settlers began streaming into the former wilderness as early as 1817. Blount was originally a large county, but over the decades pieces were taken to make up other adjoining counties such as Jefferson, Marshall, Etowah, and Cullman. Every cemetery within the contemporary boundaries of Blount was visited by the author and each readable tombstone was copied to develop the contents of this three volume series. Most of the cemeteries were read in 2002. Volume 3 covers alphabetically P through Z, beginning with the Pine Bluff Missionary Baptist Church Cemetery and concluding with the Zion Hill Primitive Baptist Church Cemetery. Several cemeteries from adjoining counties are also included. This book is vital to any serious student of Blount County genealogy and history.
Journalism in Marion County got its start in April 1885 with the Marion County Herald. Soon other upstart papers sprang up to compete with the Herald. Over the years, several newspapers vied for the dominant spot. This is the fourth volume of a series of books containing newspaper clippings from the earliest existing papers from Marion County. This volume contains the year 1900 through 1901. The clippings in this volume concentrate with notes of births, deaths, and marriages. It also contains articles which were important to the history and growth of the county. The history of the county is written in the pages of its earliest newpapers. Read what the ancestors of the people of Marion County were doing and talking about.
The author uses letters, journals, and travel accounts to show the early attitudes toward the uses of indigenous birds and mammals of Texas. Surviving on nature's bounty and remorselessly exterminating her threats--wolves, cougars, and other wily critters--settlers exploited Texas' pristine fecundity. Some species benefited from disturbed environments; others were unable to adjust to human presence and disappeared. By the 1880s concern about the diminishing numbers of many preferred species led to enactment of game laws and other efforts to protect and manage wildlife. Today, the author argues, habitat change is the most pressing issue confronting conservationists.
This insightful volume examines key research questions concerning police decision to arrest as well as police-led diversion. The authors critically evaluate the tentative answers that empirical evidence provides to those questions, and suggest areas for future inquiry. Nearly seven decades of empirical study have provided extensive knowledge regarding police use of arrest. However, this research highlights important gaps in our understanding of factors that shape police decision-making and what is required to alter current police practice. Reviewing this research base, this brief takes stock of what is known empirically about all aspects related to the use of arrests, providing important insights on the knowledge needed to make evidence-based policy decisions moving forward. With the potential to better impact policy and programs for alternatives to arrest, this brief will appeal to researchers and practitioners in evidence-based policing and police decision-making, as well as those interested in alternatives to arrest and related fields such as public policy.
Blount County was carved out of the territory ceded to the State by the Creek Indians following their defeat at the Battle of Horseshoe Bend. The earliest settlers began streaming into the former wilderness as early as 1817. Blount was originally a large county, but over the decades pieces were taken to make up other adjoining counties such as Jefferson, Marshall, Etowah, and Cullman. Every cemetery within the contemporary boundaries of Blount was visited by the author and each readable tombstone was copied to develop the contents of this three volume series. Most of the cemeteries were read in 2002. Volume 1 covers alphabetically H through P, beginning with the Hipp Family Cemetery and concluding with the Phillips Cemetery (sometimes called the Old County Line Cemetery). This book is vital to any serious student of Blount County genealogy and history.
Human cultures have been interacting with natural hazards since the dawn of time. This book explores these interactions in detail and revisits some famous catastrophes including the eruptions of Thera and Vesuvius. These studies demonstrate that diverse human cultures had well-developed strategies which facilitated their response to extreme natural events.
Prenatal and Postnatal Care: A Woman-Centered Approach is a comprehensive resource for the care of the pregnant woman before and after birth. Ideal as a graduate text for newly-qualified adult nurses, family and women’s health practitioners, and midwives, the book can also be used as an in-depth reference for antenatal and postpartum care for those already in practice. Beginning by outlining the physiological foundations of prenatal and postnatal care, and then presenting these at an advanced practice level, the book moves on to discuss preconception and prenatal care, the management of common health problems during pregnancy, and postnatal care. Each chapter includes quick-reference definitions of relevant terminology and statistics on current trends in prenatal and postnatal care, together with cultural considerations to offer comprehensive management of individual patient needs. Written by experts in the field, Prenatal and Postnatal Care: AWoman-Centered Approach, deftly combines the physiological foundation of prenatal and postnatal care with practical application for a comprehensive, holistic approach applicable to a variety of clinical settings.
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