R for College Mathematics and Statistics encourages the use of R in mathematics and statistics courses. Instructors are no longer limited to ``nice'' functions in calculus classes. They can require reports and homework with graphs. They can do simulations and experiments. R can be useful for student projects, for creating graphics for teaching, as well as for scholarly work. This book presents ways R, which is freely available, can enhance the teaching of mathematics and statistics. R has the potential to help students learn mathematics due to the need for precision, understanding of symbols and functions, and the logical nature of code. Moreover, the text provides students the opportunity for experimenting with concepts in any mathematics course. Features: Does not require previous experience with R Promotes the use of R in typical mathematics and statistics course work Organized by mathematics topics Utilizes an example-based approach Chapters are largely independent of each other
This textbook integrates scientific programming with the use of R and uses it both as a tool for applied problems and to aid in learning calculus ideas. Adding R, which is free and used widely outside academia, introduces students to programming and expands the types of problems students can engage. There are no expectations that a student has any coding experience to use this text. While this is an applied calculus text including real world data sets, a student that decides to go on in mathematics should develop sufficient algebraic skills so that they can be successful in a more traditional second semester calculus course. Hopefully, the applications provide some motivation to learn techniques and theory and to take additional math courses. The book contains chapters in the appendix for algebra review as algebra skills can always be improved. Exercise sets and projects are included throughout with numerous exercises based on graphs.
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Ever since its introduction in 1955, Chevrolet’s small-block V-8 has defined performance. It was the first lightweight, overhead-valve V-8 engine ever available to the masses at an affordable price and, better yet, had tremendous untapped performance potential, making it the performance engine of choice to this day. What sets the Chevy small-block further apart is the fact that a builder does not have to spend big money to get big horsepower numbers. Using multiple examples of engine builds and case studies, The Chevrolet Small-Block Bible provides the reader with the information needed to build anything for a mild street engine for use in a custom or daily driver to a cost-is-no-object dream build. Includes parts selection, blue printing, basic machine work, and more.
This is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.
Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.
The secular clergy - priests and other clerics outside of monastic orders - were among the most influential and powerful groups in European society during the central Middle Ages. The secular clergy got their title from the Latin word for world, saeculum, and secular clerics kept the Church running in the world beyond the cloister wall, with responsibility for the bulk of pastoral care and ecclesiastical administration. This gave them enormous religious influence, although they were considered too worldly by many contemporary moralists - trying, for instance, to oppose the elimination of clerical marriage and concubinage. Although their worldliness created many tensions, it also gave the secular clergy much worldly influence. Contemporaries treated elite secular clerics as equivalent to knights, and some were as wealthy as minor barons. Secular clerics had a huge role in the rise of royal bureaucracy, one of the key historical developments of the period. They were instrumental to the intellectual and cultural flowering of the twelfth century, the rise of the schools, the creation of the book trade, and the invention of universities. They performed music, produced literature in a variety of genres and languages, and patronized art and architecture. Indeed, this volume argues that they contributed more than any other group to the Twelfth-Century Renaissance. Yet the secular clergy as a group have received almost no attention from scholars, unlike monks, nuns, or secular nobles. In The Secular Clergy in England, 1066-1216, Hugh Thomas aims to correct this deficiency through a major study of the secular clergy below the level of bishop in England from 1066 to 1216.
The world's leading expert on prenatal and early postnatal child development explains how the infant brain develops in the womb and what parents can do to give their infant the best start in life.
How does a mother's tone of voice affect her unborn child? What kind of music, if any, should a child be exposed to in the womb? Can parents influence the predispositions of their child to traits like depression, or something as elusive as basic goodness? Thanks to revolutionary discoveries in neuroscience and developmental psychology in recent years, says Dr. Thomas Verny, we now know more about these questions than ever. In Pre-Parenting, Dr. Verny translates this research into practical advice for parents and parents-to-be. Pre-Parenting explains how even the most ordinary events can evoke a cascade of biological changes in a baby -- not only in the brain but also in the immune system and throughout the body. Every experience, from a baby's trip down the birth canal to the way she is held or spoken to, can shape her health and personality. An internationally recognized expert in early human development, Dr. Verny shows parents how to use this new information to create an ideal environment for their babies, enhance their babies' intelligence and social skills, and become better parents through "conscious parenting." Insightful and encouraging, Pre-Parenting is an invaluable guide for parents who want to help actualize their child's full potential, beginning with conception.
In addition to filling a need within the field of parental behavior, this book contributes importantly to the growing area of emotional and motivational neuroscience. A major part of neuroscience research at the whole organism level has been focused on cognitive neuroscience, with an emphasis on the neurobiology of learning and memory, but there has been a recent upsurge in research which is attempting to define the neural basis of basic motivational and emotional systems which regulate such behaviors as food intake, aggression, reproduction, reward-seeking behaviors, and anxiety-related behaviors. In this book the emphasis is on the research findings obtained from rodents, sheep and primates. The authors' goal, of course, was to provide a foundation that may help us understand the neurobiology of human parental behavior. Indeed, the last chapter attempts to integrate the non-human research data with some human data in order to make some inroads toward an understanding of postpartum depression, child abuse, and child neglect. Clearly, motivational and emotional neuroscience has close ties to psychiatry, and this connection will be very evident in the final chapter. By understanding the neurobiology of parental behavior we are also delving into neurobiological factors which may have an impact on core human characteristics involved in sociality, social attachment, nurturing behavior, and love. In this very violent world, it is hard to conceive of a group of characteristics that are more worthy of study.
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.
Intellectuals and Race is a radical book in the original sense of one that goes to the root of the problem. The role of intellectuals in racial strife is explored in an international context that puts the American experience in a wholly new light. The views of individual intellectuals have spanned the spectrum, but the views of intellectuals as a whole have tended to cluster. Indeed, these views have clustered at one end of the spectrum in the early twentieth century and then clustered at the opposite end of the spectrum in the late twentieth century. Moreover, these radically different views of race in these two eras were held by intellectuals whose views on other issues were very similar in both eras. Intellectuals and Race is not, however, a book about history, even though it has much historical evidence, as well as demographic, geographic, economic and statistical evidence-- all of it directed toward testing the underlying assumptions about race that have prevailed at times among intellectuals in general, and especially intellectuals at the highest levels. Nor is this simply a theoretical exercise. The impact of intellectuals' ideas and crusades on the larger society, both past and present, is the ultimate concern. These ideas and crusades have ranged widely from racial theories of intelligence to eugenics to "social justice" and multiculturalism. In addition to in-depth examinations of these and other issues, Intellectuals and Race explores the incentives, the visions and the rationales that drive intellectuals at the highest levels to conclusions that have often turned out to be counterproductive and even disastrous, not only for particular racial or ethnic groups, but for societies as a whole.
This is a carefully researched and completely rewritten version of Adelaide Fries's 1949 history that traced the Forsyth story from its Moravian beginnings through the joining of Winston and Salem and concluded with a forward look to Wake Forest College as a key to future cultural growth. The authors emphasize the contributions of the county beyond the city limits, reflecting the growing social and economic importance of the suburban and rural area in the past twenty-five years. Originally published in 1976. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.
Since the Anglo-Norman period itself, the relations beween the English and the Normans have formed a subject of lively debate. For most of that time, however, complacency about the inevitability of assimilation and of the Anglicization of Normans after 1066 has ruled. This book first challenges that complacency, then goes on to provide the fullest explanation yet for why the two peoples merged and the Normans became English. Drawing on anthropological theory, the latest scholarship on Anglo-Norman England, and sources ranging from charters and legal documents to saints' lives and romances, it provides a complex exploration of ethnic relations on the levels of personal interaction, cultural assimilation, and the construction of identity. As a result, the work provides an important case study in pre-modern ethnic relations that combines both old and new approaches, and sheds new light on some of the most important developments in English history.
Old South Brooklyn Entrepreneur is far more than a financial and commercial biography of Anson Blake 1789-1868. It provides many details of local history, not only of South Brooklyn (today’s Cobble Hill, Carroll Gardens, Red Hook, Boerum Hill and Gowanus) before the Civil War, but of New York City’s economic history, including Anson Blake’s speculation in Wall Street area lands and buildings. Blake also speculated in Upstate New York’s Black River Canal region of Oneida, Hamilton and Herkimer counties where Anson Blake wanted a railroad to be built through his lots. Many interesting illustrations and photographs depict facets of Manhattan and Brooklyn history — including Blake’s early land and building speculation enterprises in South Brooklyn adjacent to the terminus of the original Long Island Railroad, and the Atlantic Street and Hamilton Avenue ferries. This book describes New York’s and Brooklyn’s history during the second quarter of America’s 19th century.
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