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1. Principles of Mathematical Logic by David Hilbert, W. Ackermann | |
Hardcover: 172
Pages
(1999-07-01)
list price: US$30.00 -- used & new: US$24.00 (price subject to change: see help) Asin: 0821820249 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Good old book
classic |
2. The Foundations of Geometry by David Hilbert | |
Paperback: 158
Pages
(2010-02-24)
list price: US$21.75 -- used & new: US$13.65 (price subject to change: see help) Asin: 1145495974 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
The Foundations of Geometry - Forgotten Books edition
Buy the Open Court edition - a better translation into English
Incomplete
Enjoyable
Available for Free |
3. Geometry and the Imagination (CHEL/87.H) (AMS Chelsea Publishing) by David Hilbert, S. Cohn-Vossen | |
Hardcover: 357
Pages
(1999-10-01)
list price: US$41.00 -- used & new: US$26.00 (price subject to change: see help) Asin: 0821819984 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description "Hilbert and Cohn-Vossen" is full of interesting facts, many of which you wish you had known before, or had wondered where they could be found. 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. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the GÃ¶ttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! 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. Customer Reviews (8)
l'imagination au pouvoir
A classic on Geometry
Many beautiful things
Don't expect to find it "easy."
Beautiful, Rewarding, and Deep. Geometry is the study of relationships between shapes, and this book helps you see how shapes fit together.Ultimately, you must make the connections in your mind using your mind's eye.The illustrations and text help you make these connections.This is a book that requires effort and delivers rewards. ... Read more |
4. David Hilbert's Lectures on the Foundations of Physics 1915-1927: Relativity, Quantum Theory and Epistemology (David Hilbert's Lectures on the Foundations ... 1891-1933) (English and German Edition) | |
Hardcover: 690
Pages
(2009-08-21)
list price: US$129.00 -- used & new: US$83.96 (price subject to change: see help) Asin: 354020606X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Volume 5 has three parts, dealing with General Relativity, Epistemological Issues, and Quantum Mechanics. The core of the first part is Hilbert’s two semester lecture course on ‘The Foundations of Physics’ (1916/17). This is framed by Hilbert’s published ‘First and Second Communications’ on the ‘Foundations of Physics’ (1915, 1917) and by a selection of documents dealing with more specific topics like ‘The Principle of Causality’ or a lecture on the new concepts of space and time held in Bucharest in 1918. The epistemological issues concern the intricate relation between nature and mathematical knowledge, in particular the question of irreversibility and objectivity (1921) as well as the subtle question whether what Hilbert calls the ‘world equations’ are physically complete (1923). The last part deals with quantum theory in its early, advanced and mature stages. Hilbert held lecture courses on the mathematical foundations of quantum theory twice, before and after the breakthrough in 1926. These documents bear witness to one of the most dramatic changes in the foundations of science. |
5. Hilbert (Volume 0) by Constance Reid | |
Paperback: 272
Pages
(1996-04-19)
list price: US$34.95 -- used & new: US$23.04 (price subject to change: see help) Asin: 0387946748 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Constance Reid's classic biography is a moving, nontechnical account of the passionate scientific life of this man-from the early days in Koenigsberg, when his revolutionary work was dismissed as "theology," to the golden years in Goettingen before Hitler came to power and within a few months destroyed the entire Hilbert school. Customer Reviews (8)
a masterpiece biography that brings david hilbert and göttingen university to life
For non-mathematicians by a non-mathematician author
David Hilbert
David Hilbert, one of the greatest mathematicians ever At the turn of the 20th century, Hilbert enumerated Incidentally the author Constance Reid is the sister of No one can can call himself/herself a mathematician without
David Hilbert, one of the greatest mathematicians ever At the turn of the 20th century, Hilbert enumerated Incidentally the author Constance Reid is the sister of No one can can call himself/herself a mathematician without |
6. Readings on Color, Vol. 2: The Science of Color | |
Hardcover: 465
Pages
(1997-05-09)
list price: US$105.00 -- used & new: US$22.98 (price subject to change: see help) Asin: 026202425X Canada | United Kingdom | Germany | France | Japan | |
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7. David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 (English and German Edition) | |
Hardcover: 930
Pages
(2011-08-09)
list price: US$119.00 -- used & new: US$98.77 (price subject to change: see help) Asin: 3540205780 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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 der theoretischen 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. |
8. Mathematische Annalen, Volume 2 by Albert Einstein, Alfred Clebsch, David Hilbert | |
Paperback: 658
Pages
(2010-02-23)
list price: US$46.75 -- used & new: US$25.67 (price subject to change: see help) Asin: 1145309186 Canada | United Kingdom | Germany | France | Japan | |
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9. Methoden der mathematischen Physik (German Edition) by Richard Courant, David Hilbert | |
Hardcover: 545
Pages
(1993-10-25)
list price: US$59.95 -- used & new: US$47.96 (price subject to change: see help) Asin: 3540567968 Canada | United Kingdom | Germany | France | Japan | |
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10. Mathematische Annalen, Volume 21 by Albert Einstein, Alfred Clebsch, David Hilbert | |
Paperback: 608
Pages
(2010-02-03)
list price: US$45.75 -- used & new: US$25.22 (price subject to change: see help) Asin: 1143493443 Canada | United Kingdom | Germany | France | Japan | |
11. David Hilbert. Natur und mathematisches Erkennen: Vorlesungen gehalten 1919-1920 in Göttingen (German Edition) | |
Hardcover: 101
Pages
(1992-01-01)
list price: US$63.50 Isbn: 3764326689 Canada | United Kingdom | Germany | France | Japan | |
12. David Hilbert and the Axiomatization of Physics (1898-1918): From Grundlagen der Geometrie to Grundlagen der Physik (Archimedes) by L. Corry | |
Paperback: 513
Pages
(2010-11-02)
list price: US$279.00 -- used & new: US$279.00 (price subject to change: see help) Asin: 9048167191 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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. |
13. Hilbert. Gedenkband: David Hilbert: Naturerkennen und Logik. Königsberg 1930 (German Edition) | |
Hardcover: 86
Pages
(1971-04-01)
list price: US$21.30 -- used & new: US$21.30 (price subject to change: see help) Asin: 3540052925 Canada | United Kingdom | Germany | France | Japan | |
14. The Hilbert Challenge by Jeremy J. Gray | |
Hardcover: 328
Pages
(2001-01-25)
list price: US$60.00 -- used & new: US$48.00 (price subject to change: see help) Asin: 0198506511 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Absolutely horrible book; look elsewhere for Hilbert
all you want to know about hilbert and his problems
An excellent history of Hilbert and his problems |
15. Rational Geometry: A Textbook For The Science Of Space, Based On Hilbert's Foundations (1904) by David Hilbert, George Bruce Halsted | |
Hardcover: 312
Pages
(2008-10-27)
list price: US$45.95 -- used & new: US$31.99 (price subject to change: see help) Asin: 1437239765 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Interesting |
16. David Hilbert and the Axiomatization of Physics (1898-1918): From Grundlagen der Geometrie to Grundlagen der Physik (Archimedes) by L. Corry | |
Hardcover: 513
Pages
(2004-12-21)
list price: US$279.00 -- used & new: US$199.20 (price subject to change: see help) Asin: 140202777X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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. |
17. Rational geometry; a text-book for the science of space; based on Hilbert's foundations by George Bruce Halsted, David Hilbert | |
Paperback: 322
Pages
(2010-08-23)
list price: US$30.75 -- used & new: US$19.41 (price subject to change: see help) Asin: 1177638703 Canada | United Kingdom | Germany | France | Japan | |
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18. Anschauliche Geometrie (German Edition) by David Hilbert, Stephan Cohn-Vossen | |
Hardcover: 364
Pages
(1995-11-14)
list price: US$69.95 -- used & new: US$45.00 (price subject to change: see help) Asin: 3540590692 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Anschauliche Geometrie - wohl selten ist ein Mathematikbuch seinem Titel so gerecht geworden wie dieses außergewöhnliche Werk von Hilbert und Cohn-Vossen. Zuerst 1932 erschienen, hat das Buch nichts von seiner Frische und Kraft verloren. Hilbert hat sein erklärtes Ziel, die Faszination der Geometrie zu vermitteln, bei Generationen von Mathematikern erreicht. Aus Hilberts Vorwort: "Das Buch soll dazu dienen, die Freude an der Mathematik zu mehren, indem es dem Leser erleichtert, in das Wesen der Mathematik einzudringen, ohne sich einem beschwerlichen Studium zu unterziehen". |
19. David Hilbert's Lectures on the Foundations of Geometry, 1891-1902 (English and German Edition) | |
Hardcover: 651
Pages
(2004-07-12)
list price: US$99.00 -- used & new: US$63.97 (price subject to change: see help) Asin: 3540643737 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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 (the ?axiomatic method?), which concentrates on assessing the logical weight of central propositions by exploiting to the full the method of independence proofs by modelling. This culminates in the lectures of 1898/1899 (the immediate precursor of the 1899 monograph) and 1902. The lectures contain many reflections and investigations which never found their way into print. Customer Reviews (1)
Delightful |
20. Mathematische Annalen, Volume 13 by Albert Einstein, Alfred Clebsch, David Hilbert | |
Paperback: 590
Pages
(2010-01-11)
list price: US$44.75 -- used & new: US$24.77 (price subject to change: see help) Asin: 1142879895 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
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