When Sir Cyril Burt died in 1971, he was widely recognized as Britain's most eminent educational psychologist whose studies of gifted and delinquent children, contributions to the development of factor analysis, and research on the inheritance of intelligence brought widespread acclaim. Within five years of his death, however, he was publicly denounced as a fraud who had fabricated data to conclude that intelligence is genetically determined. Examiners of the published data found serious inconsistencies that raised questions about their authenticity; the case has divided the scientific community ever since. Were the charges justified, or was he a victim of critics fearful of validating such a politically unacceptable scientific theory? This is an up-to-date and unbiased analysis of one of the most notorious scandals in science, now more timely and widely discussed than ever with the publication of The Bell Curve, the best-selling polemic that raises arguments comparable to Burt's. The distinguished contributors examine the controversial areas of Burt's work and argue that his defenders have sometimes, but by no means always, been correct, and that his critics have often jumped to hasty conclusions. In their haste, however, these critics have missed crucial evidence that is not easily reconciled with Burt's total innocence, leaving the perception that both cases are seriously flawed. An introductory chapter lays the background to the case, followed by an examination of Burt's work that relates to the controversy. The book concludes with a chapter on Burt's character, other cases of apparent scientific fraud, and the impact of Burt's alleged fabrications. These findings have profound implications not only for the study of psychology, but for the wider issues relating to integrity in scientific research, and the impact of intelligence testing on social policy.

Please note that this Floris Books edition has been revised for UK and European notation, language and metric systems. From the early peoples who marvelled at the geometry of nature -- the beehive and bird's nest -- to ancient civilisations who questioned beautiful geometric forms and asked 'why?', the story of geometry spans thousands of years. Using only three simple tools -- the string, the straight-edge and the shadow -- human beings revealed the basic principles and constructions of elementary geometry. Weaving history and legend, this fascinating book reconstructs the discoveries of mathematics's most famous figures. Through illustrations and diagrams, readers are able to follow the reasoning that lead to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, or the construction of the five regular solids. This insightful and engaging book makes geometry accessible to everyone. Readers will be fascinated with how the knowledge and wisdom of so many cultures helped shape our civilisation today. String, Straight-edge and Shadow is also a useful and inspiring book for those teaching geometry in Steiner-Waldorf classrooms.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

This volume contains eighteen papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics.   Some of the topics explored include Arabic editions of Euclid’s Elements from the thirteenth century and their role in the assimilation of Euclidean geometry into the Islamic intellectual tradition Portuguese sixteenth century recreational mathematics as found in the Tratado de Prática Darysmetica  A Cambridge correspondence course in arithmetic for women in England in the late nineteenth century The mathematical interests of the famous Egyptologist Thomas Eric (T. E.) Peet  The history of Zentralblatt für Mathematik and Mathematical Reviews and their role in creating a publishing infrastructure for a global mathematical literature The use of Latin squares for agricultural crop experiments at the Rothamsted Experimental Station The many contributions of women to the advancement of computing techniques at the Cavendish Laboratory at the University of Cambridge in the 1960s The volume concludes with two short plays, one set in Ancient Mesopotamia and the other in Ancient Egypt, that are well suited for use in the mathematics classroom. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.

A History of Mathematics, Third Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today's elementary, high school, and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in developing lesson plans based on the history of each topic. This book is ideal for a junior or senior level course in the history of mathematics for mathematics majors intending to become teachers.

This unique two-part discussion of foxglove--the herb from which digitalis is derived--features a facsimile of William Withering's classic "An Account of Foxglove and Some of its Medical Uses," complete with explanatory notes interpreting this eighteenth century text for the modern reader. The second part of the book, written by J.K. Aronson, co-author of the Oxford Textbook of Clinical Pharmacology, includes an introduction to the botany and pharmacology of foxgloves, their therapeutic uses before Withering, a short biography of Withering, an account of 18th century medical practices, and finally a review of the uses of digitalis in modern medicine.

Since its original appearance in 1997, Numerical Linear Algebra has been a leading textbook in its field, used in universities around the world. It is noted for its 40 lecture-sized short chapters and its clear and inviting style. It is reissued here with a new foreword by James Nagy and a new afterword by Yuji Nakatsukasa about subsequent developments.

The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. More precisely, the following new advances are offered: (1) two extensions of Peirce's existential graphs, to intuitionistic logics (a new symbol for implication), and other non-classical logics (new actions on nonplanar surfaces); (2) a complete formalization of Peirce's continuum, capturing all Peirce's original demands (genericity, supermultitudeness, reflexivity, modality), thanks to an inverse ordinally iterated sheaf of real lines; (3) an array of subformalizations and proofs of Peirce's pragmaticist maxim, through methods in category theory, HoTT techniques, and modal logics. The book will be relevant to Peirce scholars, mathematicians, and philosophers alike, thanks to thorough assessments of Peirce's mathematical heritage, compact surveys of the literature, and new perspectives offered through formal and modern mathematizations of the topics studied.

Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques). Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB(R), and Maple(TM) to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

Until recently, the marquise Du Chatelet (1706-1749) was more remembered as the companion of Voltaire than as an intellectual in her own right. While much has been written about his extraordinary output during the years he spent in her company, her own work has often been overshadowed. This volume brings renewed attention to Du Chatelet's intellectual achievements, including her free translation of selections from Bernard Mandeville's Fable of the bees; her dissertation on the nature and propagation of fire for the 1738 prize competition of the Academie des sciences; the 1740 Institutions de physique and ensuing exchange with the perpetual secretary of the Academie, Dortous de Mairan; her two-volume exegesis of the Bible; the translation of and commentary on Isaac Newton's Principia; and her semi-autobiographical Discours sur le bonheur. It is a measure of the breadth of her interests that the contributions to this volume come from experts in a wide range of disciplines: comparative literature, art history, the history of mathematics and science, philosophy, the history of publishing and translation studies. Du Chatelet's partnership with Voltaire is reflected in a number of the essays; they borrowed from each other's writings, from the discussions they had together, and from their shared readings. Essays examine representations of her by her contemporaries and posterity that range from her inclusion in a German portrait gallery of learned men and women, to the scathing portrait in Francoise de Graffigny's correspondence, and nineteenth-century accounts coloured by conflicted views of the ancien regime. Other essays offer close readings of her work, and set her activities and writings in their intellectual and social contexts. Finally, they speculate on the ways in which she presented herself and what that might tell us about the challenges and possibilities facing an exceptional woman of rank and privilege in eighteenth-century society.