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The Mathematical Papers Of Isaac Newton Volume 2 1667 1670
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Book Synopsis The Mathematical Papers of Isaac Newton: by : Isaac Newton
Download or read book The Mathematical Papers of Isaac Newton: written by Isaac Newton and published by Cambridge University Press. This book was released on 1968-02-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of Dr Whiteside's annotated edition of all the known mathematical papers of Isaac Newton covers the period 1667-70. It is divided into three parts: Part 1 contains the first drafts of an attempted classification of cubics, together with more general studies on the properties of higher algebraic curves and researches into the 'organic' construction of curves. Part 2 comprises papers on miscellaneous researches in calculus, including the important De Analysi which introduced Newton to John Collins and others outside Cambridge; Newton's original text is here accompanied by Leibniz's excerpts and review, and by Newton's counter review. Part 3 contains Mercator's Latin translation of Kinckhuysen's introduction to algebra, with Newton's corrections and 'observations' upon it, and an account of researches into algebraic equations and their geometrical construction.
Book Synopsis The Newtonian Revolution by : I. Bernard Cohen
Download or read book The Newtonian Revolution written by I. Bernard Cohen and published by Cambridge University Press. This book was released on 1980 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents Professor Cohen's original interpretation of the revolution that marked the beginnings of modern science and set Newtonian science as the model for the highest level of achievement in other branches of science. It shows that Newton developed a special kind of relation between abstract mathematical constructs and the physical systems that we observe in the world around us by means of experiment and critical observation. The heart of the radical Newtonian style is the construction on the mind of a mathematical system that has some features in common with the physical world; this system was then modified when the deductions and conclusions drawn from it are tested against the physical universe. Using this system Newton was able to make his revolutionary innovations in celestial mechanics and, ultimately, create a new physics of central forces and the law of universal gravitation. Building on his analysis of Newton's methodology, Professor Cohen explores the fine structure of revolutionary change and scientific creativity in general. This is done by developing the concept of scientific change as a series of transformations of existing ideas. It is shown that such transformation is characteristic of many aspects of the sciences and that the concept of scientific change by transformation suggests a new way of examining the very nature of scientific creativity.
Book Synopsis Contemporary Newtonian Research by : Z. Bechler
Download or read book Contemporary Newtonian Research written by Z. Bechler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: them in his cheat-preface to Copernicus De Revolutionibus, but the main change in their import has been that whereas Osiander defended Copernicus, Mach and Duhem defended science. The modem conception of hypothetico deductive science is, again, geared to defend the respectability of science in much the same way: the physical interpretation, it says, is merely and always hypothetical, and so the scientist is never really committed to it. Hence, when science sheds the physical interpretation off its mathematical skeleton as time and refutation catch up with it, the scientist is not really caught in error, for he never was committed to this interpretation in the first place. This is the apologetic essence of present day, Popper-like, versions of the idea of science as a mathematical-core-cum-interpretational shell. This is also Cohen's view, for it aims to free Newton of any existential commitment to which his theory might allegedly commit him. It will be readily seen that Cohen regards this methodological distinction between mathematics and physics to be the backbone of the Newtonian revolution in science (which is, in its tum, the climax of the whole Scientific Revolution) for a very clear reason: it enables us to argue that Newton could use freely the new concept of centripetal force, even though he did not be lieve in physical action at a distance and could not conceive how such a force could act to produce its effects". ([3] pp.
Download or read book Bernhard Varenius (1622-1650) written by and published by BRILL. This book was released on 2007-11-30 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernhard Varenius’ books influenced the history of science in such a way that Isaac Newton, Alexander von Humboldt and Tsar Peter the Great all referred to him. Varenius wrote the first comprehensive description of Japan (Descriptio regni Japoniae, 1649) from a European perspective, exclusively based on a diversity of sources. But the impact of his Geographia generalis (1650) explains his ranking among the founding fathers of geography as a science. He called ‘general’ geography a branch of (applied) mathematics which does not deal with regional specifics. The contributions in this book focus on his multi-faceted work, the influence of his books and the tragically short life of this young polymath from Germany who benefited from the intellectually stimulating milieu of Leiden and Amsterdam. Contributors include: Horst Walter Blanke, Reinhard Düchting, Klaus Lehmann, Robert Mayhew, Sandra Rebok, Folker Reichert, Frank Richter, Margret Schuchard, Denis J.B. Shaw, Ulrich Staffhorst, Johann Anselm Steiger, Rienk H. Vermij, and Ernst-Christian Volkmann.
Book Synopsis Geographies of the Book by : Charles W.J. Withers
Download or read book Geographies of the Book written by Charles W.J. Withers and published by Routledge. This book was released on 2016-04-15 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geography of the book is as old as the history of the book, though far less thoroughly explored. Yet research has increasingly pointed to the spatial dimensions of book history, to the transformation of texts as they are made and moved from place to place, from authors to readers and within different communities and cultures of reception. Widespread recognition of the significance of place, of the effects of movement over space and of the importance of location to the making and reception of print culture has been a feature of recent book history work, and draws in many instances upon studies within the history of science as well as geography. 'Geographies of the Book' explores the complex relationships between the making of books in certain geographical contexts, the movement of books (epistemologically as well as geographically) and the ways in which they are received.
Book Synopsis The Optical Papers of Isaac Newton: Volume 1, The Optical Lectures 1670-1672 by : Isaac Newton
Download or read book The Optical Papers of Isaac Newton: Volume 1, The Optical Lectures 1670-1672 written by Isaac Newton and published by Cambridge University Press. This book was released on 1984-03-29 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of a three-volume complete edition of Newton's optical papers contains his Optical Lectures, delivered at Cambridge University between 1670 and 1672. The Lectures is Newton's first major scientific treatise, and consequently it represents a crucial link between his early years of discovery and his mature investigations and publications, such as the Optiks in 1704. It is divided into two parts: the first part devoted to color and the second to refraction. Originally published in 1984, this edition made available the complete text, together with translation and commentary, of both surviving versions of the Lectures, a draft and a vastly expanded revision. Until the time of publication, scholars had to depend on an uncritical text of the revision and an inadequate partial English translation, both published shortly after Newton's death. Professor Shapiro's critical edition has made a great contribution to the study of Newtonian science.
Book Synopsis The Mathematical Papers of Isaac Newton: Volume 2, 1667-1670 by : Isaac Newton
Download or read book The Mathematical Papers of Isaac Newton: Volume 2, 1667-1670 written by Isaac Newton and published by Cambridge University Press. This book was released on 2008-01-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this collection is to present the surviving papers of Isaac Newton's scientific writings, along with sufficient commentary to clarify the particularity of seventeenth-century idiom and to illuminate the contemporary significance of the text discussed.
Book Synopsis The Foundations Of Newtonian Scholarship by : Richard H Dalitz
Download or read book The Foundations Of Newtonian Scholarship written by Richard H Dalitz and published by World Scientific. This book was released on 2000-07-31 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newtonian scholarship has taken great steps forward in the last half-century. The recent completion of critical editions of Newton's mathematical papers and of his scientific correspondence, as well as the publication of the first volume of his optical papers and of variant readings of the Principia in the original Latin, have made most of Newton's scientific work generally available for study and analysis for the first time. This has provided a better understanding of Newton's Principia and Optics especially regarding their origin and interpretation, much of which has remained obscure for several centuries. Some of the new developments and insights are presented in this book by several of the scholars who have made these primary sources accessible, and by others who are using them to elucidate Newton's work. Most of the papers included were presented at the Symposium on the Foundations of Newtonian Scholarship, held at the Royal Society in London in March 1997.
Book Synopsis Analytic Projective Geometry by : John Bamberg
Download or read book Analytic Projective Geometry written by John Bamberg and published by Cambridge University Press. This book was released on 2023-10-19 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces students to projective geometry from an analytic perspective, mixing recent results from the past 100 years with the history of the field in one of the most comprehensive surveys of the subject. The subject is taught conceptually, with worked examples and diagrams to aid in understanding.
Book Synopsis Introduction to Newton's "Principia" by : I. Bernard Cohen
Download or read book Introduction to Newton's "Principia" written by I. Bernard Cohen and published by . This book was released on 1971 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Worlds Out of Nothing by : Jeremy Gray
Download or read book Worlds Out of Nothing written by Jeremy Gray and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
Book Synopsis The Investigation of Difficult Things by : Peter Michael Harman
Download or read book The Investigation of Difficult Things written by Peter Michael Harman and published by Cambridge University Press. This book was released on 2002-11-07 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of twenty original essays on the history of science and mathematics. The topics covered embrace the main themes of Whiteside's scholarly work, emphasising Newtonian topics: mathematics and astronomy to Newton; Newton's manuscripts; Newton's Principia; Newton and eighteenth-century mathematics and physics; after Newton: optics and dynamics. The focus of these themes gives the volume considerable coherence. This volume of essays makes available important original work on Newton and the history of the exact sciences. This volume has been published in honour of D. T. Whiteside, famous for his edition of The Mathematical Papers of Isaac Newton.
Book Synopsis Classical Mathematics from Al-Khwarizmi to Descartes by : Roshdi Rashed
Download or read book Classical Mathematics from Al-Khwarizmi to Descartes written by Roshdi Rashed and published by Routledge. This book was released on 2014-08-21 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.
Download or read book 1670-1671 written by Henry Oldenburg and published by . This book was released on 1965 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamental Constructs in Mathematics Education by : Sue Johnston-Wilder
Download or read book Fundamental Constructs in Mathematics Education written by Sue Johnston-Wilder and published by Routledge. This book was released on 2004-01-22 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Constructs in Mathematics Education is a unique sourcebook which has been crafted from a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature. Linked together by the editors'' narrative, the book provides a fascinating examination of key constructs in mathematics education. The book is divided into two parts. The first part examines ''thinking about the learner'' and includes the following constructs: constructivisms, activity theory and didactics. Beginning with a chapter dedicated to the classic tasks used by researchers to ''probe'' learners'' understanding, readers are encouraged to try these theories themselves with learners and be knowledgeable when they encounter them in other writing. The second part focuses on ''thinking and teaching'' and includes issues of getting started, keeping going and bringing to a conclusion. Bringing together writing from Balacheff, Brousseau, Bruner, Cobb, Comfrey, Freudenthal, Greeno, Marton, Piaget, Schon, Vygotsky and many others, this unique examination of constructs in mathematics education will be a valuable resource for anyone reading literature related to learning mathematics be they a teacher, adviser or a student on a masters or PhD course.
Download or read book American Scientist written by and published by . This book was released on 1942 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Polynomial Systems by : David A. Cox
Download or read book Applications of Polynomial Systems written by David A. Cox and published by American Mathematical Soc.. This book was released on 2020-03-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.
