"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.
Paul Klee was endowed with a rich and many-sided personality that was continually spilling over into forms of expression other than his painting and that made him one of the most extraordinary phenomena of modern European art. These abilities have left their record in the four intimate Diaries in which he faithfully recorded the events of his inner and outer life from his nineteenth to his fortieth year. Here, together with recollections of his childhood in Bern, his relations with his family and such friends as Kandinsky, Marc, Macke, and many others, his observations on nature and people, his trips to Italy and Tunisia, and his military service, the reader will find Klee's crucial experience with literature and music, as well as many of his essential ideas about his own artistic technique and the creative process.
Broca's region has been in the news ever since scientists realized that particular cognitive functions could be localized to parts of the cerebral cortex. Its discoverer, Paul Broca, was one of the first researchers to argue for a direct connection between a concrete behavior--in this case, the use of language--and a specific cortical region. Today, Broca's region is perhaps the most famous part of the human brain, and for over a century, has persisted as the focus of intense research and numerous debates. The name has even penetrated mainstream culture through popular science and the theater. Broca's region is famous for a good reason: As language is one of the most distinctive human traits, the cognitive mechanisms that support it and the tissues in which these mechanisms are housed are also quite complex, and so have the potential to reveal a lot not only about how words, phrases, sentences, and grammatical rules are instantiated in neural tissue, but also, and more broadly, about how brain function relates to behavior. Paul Broca's discoveries were an important, driving force behind the more general effort to relate complex behavior to particular parts of the cerebral cortex, which, significantly, produced the first brain maps.These early studies also, however, suffered from the use of crude techniques, definitions, and distinctions, as well as from ill founded and misdirected assumptions. Although much has been discovered since Broca's work, even today, these problems have not been completely solved. Nonetheless, particularly as a result of important advances made in neuroimaging during the past two decades, Broca's region and all language areas are currently being investigated from every angle. Indeed, as the volume of research into the relations between brain and language has created several communities, each with its own concepts, methods, and considerations, it seemed that it was time to stop, get together, and reflect on the state of the art.This book is the result of that collective reflection, which took place primarily at the Broca's Region Workshop, held in Julich and Aachen, Germany, in June 2004. In it, Yosef Grodzinsky and Katrin Amunts tried to accomplish a nearly impossible task: to mix intellectual traditions and cultures, and juxtapose rather disparate bodies of knowledge, styles of reasoning, and forms of argumentation. Participants were scientists with diverse backgrounds; each invited to contribute his/her particular take, with the hope that a coherent, perhaps even novel, picture would emerge. All of the participants have a special interest in Broca's Region, and represent the myriad angles from which we currently approach it: neuroanatomy, physiology, evolutionary biology, cognitive psychology, clinical neurology, functional imaging, speech and language research, computational biology, and psycho-, neuro-, and theoretical linguistics. The book's main chapters are the contributions of the Workshop's participants and their research teams. Parts of the discussion during the Workshop are included to underscore the richness of viewpoints, and to give readers an idea of the level of interaction that took place. As Broca's region is such a historically significant concept and rich area, this book contains a collection of classic and recent-yet-classic papers. Along with cutting-edge science, Grodzinsky and Amunts want to remind readers of the celebrated past from which much can be learned. The historical chapters include the first two papers written by Paul Broca, as well some work by two of the most important neurologists of the nineteenth century, Ludwig Lichtheim and John Hughlings-Jackson. Also included are parts of twentieth century papers by Korbinian Brodmann, Roman Jakobson, Norman Geschwind, Harold Goodglass, and Jay Mohr. Because this book both reflects the state of the art in Broca's-region research and contains a tribute to its celebrated past, it will be a valuable resource for student and professional researchers. It will also stimulate further interdisciplinary research, which is a significant contribution, as the project called "Broca's region," encompassing the study of brain/language relations, is far from finished.
A comprehensive reference and practical guide on the technology and application of ultrasound to the musculoskeletal system. It is organized into two main sections. The first is devoted to general aspects, while the second provides a systematic overview of the applications of musculoskeletal ultrasound in different areas of the body. Ultrasound scans are correlated with drawings, photographs, images obtained using other modalities, and anatomic specimens. There is a generous complement of high-quality illustrations based on high-end equipment. This book will acquaint beginners with the basics of musculoskeletal ultrasound, while more advanced sonologists and sonographers will learn new skills, means of avoiding pitfalls, and ways of effectively relating the ultrasound study to the clinical background.
Outbreaks of E. Coli and Salmonella from eating tainted meat or chicken and Mad Cow Disease have consumers and the media focused on food safety-related topics. This handbook aimed at students as well as consumers is an excellent starting point for locating both print and electronic resources with timely information about food safety issues, organizations and associations, and careers in the field.
My Thoughts provides a unique window into the mind of one of the undisputed pioneers of modern thought, the author of the 1748 classic, The Spirit of the Laws. From the publication in 1721 of his first masterpiece, Persian Letters, until his death in 1755, Montesquieu maintained notebooks in which he wrote and dictated ideas on a wide variety of topics. Some of the contents are early drafts of passages that Montesquieu eventually placed in his published works; others are outlines or early versions of projected works that were ultimately lost, unfinished, or abandoned. These notebooks provide important insights into his views on a broad range of topics, including morality, religion, history, law, economics, finance, science, art, and constitutional liberty. Montesquieu called these notebooks Mes Pensées (My Thoughts), and they appear in their entirety in English for the first time in this Liberty Fund edition. Editor and translator Henry C. Clark provides readers with translations of most of the footnotes contained in the 1991 French edition by Louis Desgraves, while adding new notes, a bibliography, and other aids to understanding the text and translation. These features provide the frame for a revealing portrait of one of the most influential figures of the eighteenth century. Henry C. Clark is a Visiting Professor in the Political Economy Project at Dartmouth College. He has written two books and numerous articles, mainly on the French and Scottish Enlightenments.
This powerful book documents--in images and words--the unsettling experience of a dozen men and women workers who lost their jobs in the steel mills in Buffalo, New York, and then had to fashion new lives for themselves. It is the fruit of a collaboration between the celebrated documentary photographer Milton Rogovin and Michael Frisch, a leading figure in American oral history.