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Author : George Bruce Halsted
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 ( download)
Download or read book Metrical Geometry written by George Bruce Halsted and published by . This book was released on 1883 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dmitri Burago
Publisher : American Mathematical Society
ISBN 13 : 1470468530
Total Pages : 415 pages
Book Rating : 4.4/5 (74 download)
Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Society. This book was released on 2022-01-27 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Author : Bertrand Russell
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.A/5 ( download)
Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by . This book was released on 1897 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Bruce Halsted
Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.L/5 ( download)
Download or read book Metrical Geometry written by George Bruce Halsted and published by . This book was released on 1881 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard S. Millman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387974125
Total Pages : 394 pages
Book Rating : 4.9/5 (741 download)
Download or read book Geometry written by Richard S. Millman and published by Springer Science & Business Media. This book was released on 1993-05-07 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.
Author : George Bruce Halsted
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.0/5 ( download)
Download or read book An Elementary Treatise on Mensuration written by George Bruce Halsted and published by . This book was released on 1881 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.S. Millman
Publisher : Springer Science & Business Media
ISBN 13 : 1468401300
Total Pages : 367 pages
Book Rating : 4.4/5 (684 download)
Download or read book Geometry written by R.S. Millman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a first rigorous course in geometry. As the title indicates, we have adopted Birkhoff's metric approach (i.e., through use of real numbers) rather than Hilbert's synthetic approach to the subject. Throughout the text we illustrate the various axioms, definitions, and theorems with models ranging from the familiar Cartesian plane to the Poincare upper half plane, the Taxicab plane, and the Moulton plane. We hope that through an intimate acquaintance with examples (and a model is just an example), the reader will obtain a real feeling and intuition for non Euclidean (and in particular, hyperbolic) geometry. From a pedagogical viewpoint this approach has the advantage of reducing the reader's tendency to reason from a picture. In addition, our students have found the strange new world of the non-Euclidean geometries both interesting and exciting. Our basic approach is to introduce and develop the various axioms slowly, and then, in a departure from other texts, illustrate major definitions and axioms with two or three models. This has the twin advantages of showing the richness of the concept being discussed and of enabling the reader to picture the idea more clearly. Furthermore, encountering models which do not satisfy the axiom being introduced or the hypothesis of the theorem being proved often sheds more light on the relevant concept than a myriad of cases which do.
Author : T. Ewan Faulkner
Publisher : Courier Corporation
ISBN 13 : 0486154890
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)
Download or read book Projective Geometry written by T. Ewan Faulkner and published by Courier Corporation. This book was released on 2013-02-20 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.
Author : George Bruce Halsted
Publisher : Forgotten Books
ISBN 13 : 9781527962897
Total Pages : 258 pages
Book Rating : 4.9/5 (628 download)
Download or read book Metrical Geometry written by George Bruce Halsted and published by Forgotten Books. This book was released on 2017-09-16 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Metrical Geometry: An Elementary Treatise on Mensuration Mensuration is that branch of mathematics Which has for its object the measurement Of geometrical magnitudes. It has been called, that branch Of applied geometry which gives rules for finding the length Of lines, the area Of sur faces, and the volume Of solids, from certain data Of lines and angles. A Magnitude is anything Which can be conceived of as added to itself, or of Which we can form multiples. The measurement Of a magnitude consists in finding how many times it contains another magnitude Of the same kind, taken as a unit of measure. Measurement, then, is the pro cess of ascertaining the ratio which one magnitude bears to some other chosen as the standard; and the measure of a magnitude is this ratio expressed in numbers. Hence, We must refer to some concrete standard, some actual Object, to give our measures their absolute meaning. The concrete standard is arbitrary in point of theory, and its selection a question Of practical convenience. A discrete aggregate, such as a pile of cannon-balls, or a number, has a natural unit, one of them. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : George Bruce Halsted
Publisher :
ISBN 13 :
Total Pages : 233 pages
Book Rating : 4.:/5 (141 download)
Download or read book Metrical Geometry written by George Bruce Halsted and published by . This book was released on 1883 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Bruce Halsted
Publisher : Forgotten Books
ISBN 13 : 9781330202722
Total Pages : 257 pages
Book Rating : 4.2/5 (27 download)
Download or read book Metrical Geometry written by George Bruce Halsted and published by Forgotten Books. This book was released on 2015-06-26 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Metrical Geometry: An Elementary Treatise on Mensuration This book is primarily the outcome of work on the subject while teaching it to large classes. The competent critic may recognize signs of a Berlin residence; but a considerable part, it is believed, is entirely new. Special mention must be made of the book's indebtedness to Dr. J. W. Davis, a classmate with me at Columbia School of Mines; also to Prof. G. A. Wentworth, who has kindly looked over the proofs. But if the book be found especially accurate, this is due to the pains taking care of my friend H. B. Fine, Fellow of Princeton. Any corrections or suggestions relating to the work will be thank fully received. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Bertrand Russell
Publisher : Routledge
ISBN 13 : 1136765743
Total Pages : 576 pages
Book Rating : 4.1/5 (367 download)
Download or read book Principles of Mathematics written by Bertrand Russell and published by Routledge. This book was released on 2020-02-25 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which Principia Mathematica provided the detailed proof, and introduced the work of Frege to a wider audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics.
Author : Francesca Biagioli
Publisher : Springer
ISBN 13 : 3319317792
Total Pages : 258 pages
Book Rating : 4.3/5 (193 download)
Download or read book Space, Number, and Geometry from Helmholtz to Cassirer written by Francesca Biagioli and published by Springer. This book was released on 2016-08-22 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einstein’s general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz’s epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism.
Author : J. Galaugher
Publisher : Springer
ISBN 13 : 1137302070
Total Pages : 230 pages
Book Rating : 4.1/5 (373 download)
Download or read book Russell's Philosophy of Logical Analysis, 1897-1905 written by J. Galaugher and published by Springer. This book was released on 2013-11-07 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic and historical treatment of Russell's contributions to analytic philosophy, from his embrace of analysis in 1898 to his landmark theory of descriptions in 1905, draws important connections between his philosophically motivated conception of analysis and the technical apparatus he devised to facilitate analyses in mathematics
Author : Niccol- Guicciardini
Publisher : Cambridge University Press
ISBN 13 : 1108834965
Total Pages : 393 pages
Book Rating : 4.1/5 (88 download)
Download or read book Anachronisms in the History of Mathematics written by Niccol- Guicciardini and published by Cambridge University Press. This book was released on 2021-07-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
Author : Hiroshi Maehara
Publisher : Springer Nature
ISBN 13 : 3031627768
Total Pages : 342 pages
Book Rating : 4.0/5 (316 download)
Download or read book Circles, Spheres and Spherical Geometry written by Hiroshi Maehara and published by Springer Nature. This book was released on with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (5 download)
Download or read book Colloquium Lectures written by and published by . This book was released on 1905 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
