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Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.L/5 ( download)
Download or read book The Foundations of Geometry written by David Hilbert and published by . This book was released on 1902 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (42 download)
Download or read book Grundlagen Der Geometrie, Von Dr. David Hilbert ... written by David Hilbert and published by . This book was released on 1923 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Hallett
Publisher : Springer Science & Business Media
ISBN 13 : 9783540643739
Total Pages : 708 pages
Book Rating : 4.6/5 (437 download)
Download or read book David Hilbert’s Lectures on the Foundations of Geometry 1891–1902 written by Michael Hallett and published by Springer Science & Business Media. This book was released on 2004-05-17 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.
Author : David Hilbert
Publisher : Open Court Publishing
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.3/5 (91 download)
Download or read book Foundations of Geometry written by David Hilbert and published by Open Court Publishing. This book was released on 1971 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with the writings of Hilbert's friend and correspondent Frege, Hilbert's Grundlagen der Geometrie is the major prop that set the stage for Russell and Whitehead's Principia Mathematica. Hilbert presents a new axiomatization of geometry, the reduction of geometry to algebra, and introduces the distinction between mathematics and metamathematics, with a new theory of proof. This edition is translated from the tenth German edition, including all the improvements which Hilbert derived from his own reflections and the contributions of other writers. --Back cover.
Author : David Hilbert
Publisher : American Mathematical Soc.
ISBN 13 : 0821819984
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry and the Imagination written by David Hilbert and published by American Mathematical Soc.. This book was released on 1999 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This remarkable book endures as a true masterpiece of mathematical exposition. The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. Geometry and the Imagination is full of interesting facts, many of which you wish you had known before. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in $\mathbb{R}^3$. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: $\pi/4 = 1 - 1/3 + 1/5 - 1/7 + - \ldots$. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is ``Projective Configurations''. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the pantheon of great mathematics books.
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 279 pages
Book Rating : 4.:/5 (457 download)
Download or read book Grundlagen der Geometrie, von Dr. David Hilbert,... 3., durch Zusätze und Literatur-hinweise von neuem vermehrte... Auflage... written by David Hilbert and published by . This book was released on 1909 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. Corry
Publisher : Springer Science & Business Media
ISBN 13 : 1402027788
Total Pages : 542 pages
Book Rating : 4.4/5 (2 download)
Download or read book David Hilbert and the Axiomatization of Physics (1898–1918) written by L. Corry and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 175 pages
Book Rating : 4.:/5 (25 download)
Download or read book Grundlagen der Geometrie von Dr. David Hilbert, Prof., Göttingen written by David Hilbert and published by . This book was released on 1903 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Volkert
Publisher : Springer-Verlag
ISBN 13 : 3662455692
Total Pages : 280 pages
Book Rating : 4.6/5 (624 download)
Download or read book David Hilbert written by Klaus Volkert and published by Springer-Verlag. This book was released on 2015-04-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originaltext und historischer und mathematischer Kommentar von Klaus Volkert David Hilberts „Festschrift“ Grundlagen der Geometrie“ aus dem Jahre 1899 wurde zu einem der einflussreichsten Texte der Mathematikgeschichte. Wie kein anderes Werk prägte es die Mathematik des 20. Jahrhunderts und ist auch heute noch von größtem Interesse. Aus der Perspektive eines Mathematikhistorikers schildert der Herausgeber die Entwicklung einer Axiomatik der Geometrie, die spätestens mit Euklids „Elemente“ (ca. 300 v. u. Z.) begann und erst durch Hilbert zu einem vollständigen und handhabbaren System geführt wurde. Nach einer ausführlichen Erläuterung des Hilbertschen Textes wird seine Rezeption bis 1905 umfassend dargestellt und daran anschließend viele der von ihm ausgehenden weiteren direkten und indirekten Entwicklungen skizziert. Die Faszination des Textes ist auch dem heutigen Leser direkt zugänglich, da Hilbert ́s axiomatischer Ansatz ohne mengentheoretische Argumente oder formale Logik auskommt.
Author : R. Torretti
Publisher : Springer Science & Business Media
ISBN 13 : 9400999097
Total Pages : 473 pages
Book Rating : 4.4/5 (9 download)
Download or read book Philosophy of Geometry from Riemann to Poincaré written by R. Torretti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.
Author : Erich H. Reck
Publisher : Oxford University Press
ISBN 13 : 0190641223
Total Pages : 469 pages
Book Rating : 4.1/5 (96 download)
Download or read book The Prehistory of Mathematical Structuralism written by Erich H. Reck and published by Oxford University Press. This book was released on 2020 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.
Author : William Ewald
Publisher : Springer-Verlag
ISBN 13 : 3540694447
Total Pages : 1082 pages
Book Rating : 4.5/5 (46 download)
Download or read book David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 written by William Ewald and published by Springer-Verlag. This book was released on 2013-05-14 with total page 1082 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of Volume 3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s Habilitationschrift of 1918, the text of the first edition of Hilbert and Ackermann’s Grundzüge dertheoretischen Logik (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental Grundlagen der Mathematik (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics.
Author : University of California, Berkeley. Library
Publisher :
ISBN 13 :
Total Pages : 1028 pages
Book Rating : 4.F/5 ( download)
Download or read book Author-title Catalog written by University of California, Berkeley. Library and published by . This book was released on 1963 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (4 download)
Download or read book Euclides written by and published by . This book was released on 1925 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1052 pages
Book Rating : 4.3/5 (121 download)
Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1899 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher : Chelsea Publishing Company, Incorporated
ISBN 13 : 9780828400916
Total Pages : pages
Book Rating : 4.4/5 (9 download)
Download or read book Integralgleichungen written by David Hilbert and published by Chelsea Publishing Company, Incorporated. This book was released on 1982-08-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (31 download)
Download or read book The Foundations of Geometry written by David Hilbert and published by . This book was released on 1910 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
