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Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Any real understanding of where we stand scientifically today and where we are headed depends to a great extent on an awareness of how we reached those scientific achievements. The increased impact of science and technology on our lives makes such an understanding even more important. For this reason, this book is intended to provide information about the major works of science in the collections of the Library of Congress. These selected works are organized here by traditional scientific discipline and are treated in historical and, generally, chronological order. The contents contain chapters on: (1) astronomy; (2) botany; (3) zoology; (4) medicine; (5) chemistry; (6) geology; (7) mathematics; and (8) physics. A bibliography provides information about particular Library of Congress collections to which a book or manuscript may belong, as well as specific bibliographic information. Title translations are also included. (TW)
"Beginning in 1580, London companies sold water to consumers through a large network of wooden mains in the expanding metropolis. This new water industry flourished throughout the 1600s, eventually expanding to serve tens of thousands of homes. By the late eighteenth century, more than 80 percent of the city's houses had water connections-making London the best-served metropolis in the world while demonstrating that it was legally, commercially, and technologically possible to run an infrastructure network within the largest city on earth. Leslie Tomory shows how new technologies imported from the Continent, including waterwheel-driven piston pumps, spurred the rapid growth of London's water industry. The business was further sustained by an explosion in consumer demand. Meanwhile, several key local innovations reshaped the industry by enlarging the size of the supply network. By 1800, the success of London's water industry made it a model for other cities in Europe and beyond as they began to build their own water networks, and it inspired builders of other large-scale urban projects, including gas and sewage supply networks."--Provided by the publisher.
Preface INTRODUCTION HISTORY OF MICROBIOLOGY EVOLUTION OF MICROORGANISM CLASSIFICATION OF MICROORGANISM NOMENCLATURE AND BERGEY'S MANUAL BACTERIA VIRUSES BACTERIAL VIRUSES PLANT VIRUSES THE ANIMAL VIRUSES ARCHAEA MYCOPLASMA PHYTOPLASMA GENERAL ACCOUNT OF CYANOBACTERIA GRAM -ve BACTERIA GRAM +ve BACTERIA EUKARYOTA APPENDIX-1 Prokaryotes Notable for their Environmental Significance APPENDIX-2 Medically Important Chemoorganotrophs APPENDIX-3 Terms Used to Describe Microorganisms According to Their Metabolic Capabilities QUESTIONS Short & Essay Type Questions; Multiple Choice Questions INDEX.
The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars. The Age of Enlightenment profoundly enriched religious and philosophical understanding and continues to influence present-day thinking. Works collected here include masterpieces by David Hume, Immanuel Kant, and Jean-Jacques Rousseau, as well as religious sermons and moral debates on the issues of the day, such as the slave trade. The Age of Reason saw conflict between Protestantism and Catholicism transformed into one between faith and logic -- a debate that continues in the twenty-first century. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ Huntington Library N004550 Anonymous. By Robert Wilkinson. London: printed: and sold by J. Roberts, 1730. [6],25, [1]p.; 8°
Key Directions in Legal Education identifies and explores key contemporary and emerging themes that are significant and heavily debated within legal education from both UK and international perspectives. It provides a rich comparative dialogue and insights into the current and future directions of legal education. The book discusses in detail topics including the pressures on law schools exerted by external stakeholders, the fostering of interdisciplinary approaches and collaboration within legal education and the evolution of discourses around teaching and learning legal skills. It elaborates on the continuing development of clinical legal education as a component of the law degree and the emergence and use of innovative technologies within law teaching. The approach of pairing UK and international authors to obtain comparative insights and analysis on a range of key themes is original and provides both a genuine comparative dialogue and a clear international focus. This book will be of great interest for researchers, academics and post-graduate students in the field of law and legal pedagogy.