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Author : Walter William Rouse Ball
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.4/5 (91 download)
Download or read book On Newton's Classification of Cubic Curves written by Walter William Rouse Ball and published by . This book was released on 1976 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter William Rouse Ball
Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (43 download)
Download or read book On Newton's Classification of Cubic Curves. Read December 11, 1980 written by Walter William Rouse Ball and published by . This book was released on 1891 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 1468492810
Total Pages : 560 pages
Book Rating : 4.4/5 (684 download)
Download or read book Mathematics and Its History written by John Stillwell and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.
Author : Surendramohan Ganguli
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (5 download)
Download or read book The Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1926 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Niccolo Guicciardini
Publisher : MIT Press
ISBN 13 : 0262291657
Total Pages : 449 pages
Book Rating : 4.2/5 (622 download)
Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolo Guicciardini and published by MIT Press. This book was released on 2011-08-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
Author : J.W. Rutter
Publisher : CRC Press
ISBN 13 : 1482285673
Total Pages : 381 pages
Book Rating : 4.4/5 (822 download)
Download or read book Geometry of Curves written by J.W. Rutter and published by CRC Press. This book was released on 2018-10-03 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the subject's more exciting aspects require a somewhat advanced mathematics background. For the "fun stuff" to be accessible, we need to offer students an introduction with modest prerequisites, one that stimulates their interest and focuses on problem solving. Integrating parametric, algebraic, and projective curves into a single text, Geometry of Curves offers students a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. The author begins with the basics, then takes students on a fascinating journey from conics, higher algebraic and transcendental curves, through the properties of parametric curves, the classification of limaçons, envelopes, and finally to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. The uniqueness of this treatment lies in its integration of the different types of curves, its use of analytic methods, and its generous number of examples, exercises, and illustrations. The result is a practical text, almost entirely self-contained, that not only imparts a deeper understanding of the theory, but inspires a heightened appreciation of geometry and interest in more advanced studies.
Author : Gerd Fischer
Publisher : American Mathematical Soc.
ISBN 13 : 0821821229
Total Pages : 249 pages
Book Rating : 4.8/5 (218 download)
Download or read book Plane Algebraic Curves written by Gerd Fischer and published by American Mathematical Soc.. This book was released on 2001 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Author : Rob Iliffe
Publisher : Cambridge University Press
ISBN 13 : 1107015464
Total Pages : 657 pages
Book Rating : 4.1/5 (7 download)
Download or read book The Cambridge Companion to Newton written by Rob Iliffe and published by Cambridge University Press. This book was released on 2016-04-07 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition includes three updated chapters, a revised bibliography, new introduction and three entirely new chapters.
Author : Richard S. Westfall
Publisher : Cambridge University Press
ISBN 13 : 9780521274357
Total Pages : 934 pages
Book Rating : 4.2/5 (743 download)
Download or read book Never at Rest written by Richard S. Westfall and published by Cambridge University Press. This book was released on 1983-04-29 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: Destined to become the standard biography of Isaac Newton, this meticulously detailed work centers on his scientific career, but also deals with every facet of his life. Westfall has drawn on recent research which has fundamentally altered our perception of Newton.
Author : Florian Cajori
Publisher : American Mathematical Society
ISBN 13 : 1470470594
Total Pages : 524 pages
Book Rating : 4.4/5 (74 download)
Download or read book History of Mathematics written by Florian Cajori and published by American Mathematical Society. This book was released on 2022-05-02 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally issued in 1893, this popular Fifth Edition (1991) covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike. Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index—for example—contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.
Author : mary Gray
Publisher : CRC Press
ISBN 13 : 9780849371646
Total Pages : 1094 pages
Book Rating : 4.3/5 (716 download)
Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition written by mary Gray and published by CRC Press. This book was released on 1997-12-29 with total page 1094 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edition combines a traditional approach with the symbolic manipulation abilities of Mathematica to explain and develop the classical theory of curves and surfaces. You will learn to reproduce and study interesting curves and surfaces - many more than are included in typical texts - using computer methods. By plotting geometric objects and studying the printed result, teachers and students can understand concepts geometrically and see the effect of changes in parameters. Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis. Although the book makes extensive use of Mathematica, readers without access to that program can perform the calculations in the text by hand. While single- and multi-variable calculus, some linear algebra, and a few concepts of point set topology are needed to understand the theory, no computer or Mathematica skills are required to understand the concepts presented in the text. In fact, it serves as an excellent introduction to Mathematica, and includes fully documented programs written for use with Mathematica. Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the classroom and used in professional short courses throughout the world.
Author : Elsa Abbena
Publisher : CRC Press
ISBN 13 : 142001031X
Total Pages : 1016 pages
Book Rating : 4.4/5 (2 download)
Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica written by Elsa Abbena and published by CRC Press. This book was released on 2017-09-06 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.
Author : Mansfield Merriman
Publisher :
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.:/5 (4 download)
Download or read book Higher Mathematics written by Mansfield Merriman and published by . This book was released on 1898 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.A/5 ( download)
Download or read book History of Modern Mathematics written by David Eugene Smith and published by . This book was released on 1896 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Z. A. Melzak
Publisher : Courier Corporation
ISBN 13 : 0486466264
Total Pages : 244 pages
Book Rating : 4.4/5 (864 download)
Download or read book Invitation to Geometry written by Z. A. Melzak and published by Courier Corporation. This book was released on 2008-04-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.
Author : Cambridge Philosophical Society
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.3/5 (243 download)
Download or read book Transactions of the Cambridge Philosophical Society written by Cambridge Philosophical Society and published by . This book was released on 1866 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Florian Cajori
Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (321 download)
Download or read book A History of Mathematics written by Florian Cajori and published by . This book was released on 1913 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
