Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.
This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
This insightful book combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject. Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra originally developed from classical algebraic precursors. This book successfully ties together the disconnect between classical and modern algebraand provides readers with answers to many fascinating questions that typically go unexamined, including: What is algebra about? How did it arise? What uses does it have? How did it develop? What problems and issues have occurred in its history? How were these problems and issues resolved? The author answers these questions and more, shedding light on a rich history of the subject—from ancient and medieval times to the present. Structured as eleven "lessons" that are intended to give the reader further insight on classical algebra, each chapter contains thought-provoking problems and stimulating questions, for which complete answers are provided in an appendix. Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, Classical Algebra: Its Nature, Origins, and Uses is an excellent book for mathematics courses at the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics.
Mathematical models are used to simulate complex real-world phenomena in many areas of science and technology. Large complex models typically require inputs whose values are not known with certainty. Uncertainty analysis aims to quantify the overall uncertainty within a model, in order to support problem owners in model-based decision-making. In recent years there has been an explosion of interest in uncertainty analysis. Uncertainty and dependence elicitation, dependence modelling, model inference, efficient sampling, screening and sensitivity analysis, and probabilistic inversion are among the active research areas. This text provides both the mathematical foundations and practical applications in this rapidly expanding area, including: An up-to-date, comprehensive overview of the foundations and applications of uncertainty analysis. All the key topics, including uncertainty elicitation, dependence modelling, sensitivity analysis and probabilistic inversion. Numerous worked examples and applications. Workbook problems, enabling use for teaching. Software support for the examples, using UNICORN - a Windows-based uncertainty modelling package developed by the authors. A website featuring a version of the UNICORN software tailored specifically for the book, as well as computer programs and data sets to support the examples. Uncertainty Analysis with High Dimensional Dependence Modelling offers a comprehensive exploration of a new emerging field. It will prove an invaluable text for researches, practitioners and graduate students in areas ranging from statistics and engineering to reliability and environmetrics.
This book tells the compelling saga of American higher education from the founding of Harvard College in 1636 to the outbreak of World War II. The author traces how colleges and universities were shaped by the shifting influences of culture, the emergence of new career opportunities, and the unrelenting advancement of knowledge. He describes how colonial colleges developed a unified yet diverse educational tradition capable of weathering the social upheaval of the Revolution as well as the evangelical fervor of the Second Great Awakening. He shows how the character of college education in different regions diverged significantly in the years leading up to the Civil War - for example, the state universities of the antebellum South were dominated by the sons of planters and their culture - and how higher education was later revolutionized by the land-grant movement, the growth of academic professionalism, and the transformation of campus life by students. By the beginning of the Second World War, the standard American university had taken shape, setting the stage for the postwar education boom. The author moves through each era, exploring the growth of higher education.
A long established text that aims to meet the needs of students studying building measurement in the early years of quantity surveying and building degree courses. It contains a careful selection of 28 worked examples embracing all the principal building elements and including alternative constructional methods to illustrate a range of approaches.
American research universities are part of the foundation for the supremacy of American science. Although they emerged as universities in the late nineteenth century, the incorporation of research as a distinct part of their mission largely occurred after 1900. To Advance Knowledge relates how these institutions, by 1940, advanced from provincial outposts in the world of knowledge to leaders in critical areas of science. This study is the first to systematically examine the preconditions for the development of a university research role. These include the formation of academic disciplines--communities that sponsored associations and journals, which defined and advanced fields of knowledge. Only a few universities were able to engage in these activities. Indeed, universities before World War I struggled to find the means to support their own research through endowments, research funds, and faculty time. To Advance Knowledge shows how these institutions developed the size and wealth to harbor a learned faculty. The book illustrates how arrangements for research changed markedly in the 1920s when the great foundations established from the Rockefeller and Carnegie fortunes embraced the advancement of knowledge as a goal. Universities emerged in this decade as the best-suited vessels to carry this mission. Foundation resources made possible the development of an American social science. In the natural sciences, this patronage allowed the United States to gain parity with Europe on scientific frontiers, of which the most important was undoubtedly nuclear physics. The research role of universities cannot be isolated from the institutions themselves. To Advance Knowledge focuses on sixteen universities that were significantly engaged with research during this era. It analyzes all facets of these institutions--collegiate life, sources of funding, treatment of faculty--since all were relevant to shaping the research role.
When Franklin D. Roosevelt was sworn in as president, the South was unmistakably the most disadvantaged part of the nation. The region's economy was the weakest, its educational level the lowest, its politics the most rigid, and its laws and social mores the most racially slanted. Moreover, the region was prostrate from the effects of the Great Depression. Roosevelt's New Deal effected significant changes on the southern landscape, challenging many traditions and laying the foundations for subsequent alterations in the southern way of life. At the same time, firmly entrenched values and institutions militated against change and blunted the impact of federal programs. In The South and the New Deal, Roger Biles examines the New Deal's impact on the rural and urban South, its black and white citizens, its poor, and its politics. He shows how southern leaders initially welcomed and supported the various New Deal measures but later opposed a continuation or expansion of these programs because they violated regional convictions and traditions. Nevertheless, Biles concludes, the New Deal, coupled with the domestic effects of World War II, set the stage for a remarkable postwar transformation in the affairs of the region. The post-World War II Sunbelt boom has brought Dixie more fully into the national mainstream. To what degree did the New Deal disrupt southern distinctiveness? Biles answers this and other questions and explores the New Deal's enduring legacy in the region.
Gleria (materials science, Padova University, Italy) and De Jaeger (chemistry, University of Sciences and Technologies, France) present the latest work in the synthesis and characterization of poly(organophosphazenes). The book opens with a general introduction on background, developments, and future perspectives, then covers the synthetic aspects of phosphazene polymers, with chapters on areas such as ambient temperature cationic condensation synthesis of polyphosphazenes and high molecular weight polyspirophosphazenes. Chapters on the characterization of phosphazene polymers in solution explore topics including thermal and mechanical properties of polyphosphazenes and electrochemical behavior of phosphazenes. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
This book contains 14 chapters focusing on the usefulness of controlled atmosphere (CA) storage in the reduction of postharvest losses and maintenance of the nutritive value and organoleptic characteristics of various fruits and vegetables and extend their season of availability by making good eating quality fruits and vegetables available for extended periods at reasonable costs. The efficacy and shortcomings of various CA storage techniques and their potential as alternatives to the application of preservation and pesticide chemicals are also discussed.
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