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Home - Pure And Applied Math - Topos Theory (Books) |
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1. Higher Topos Theory (AM-170) (Annals of Mathematics Studies) by Jacob Lurie | |
Paperback: 960
Pages
(2009-07-06)
list price: US$55.00 -- used & new: US$37.12 (price subject to change: see help) Asin: 0691140499 Canada | United Kingdom | Germany | France | Japan | |
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2. The Topos of Music: Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola | |
Hardcover: 1368
Pages
(2003-01-17)
list price: US$189.00 -- used & new: US$142.32 (price subject to change: see help) Asin: 3764357312 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies. The probably most exciting new field of research deals with musical performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory is the key to inverse performance theory, an advanced new research field which deals with the calculation of varieties of parameters which give rise to a determined performance. This field uses techniques of algebraic geometry and statistics, approaches which have already produced significant results in the understanding of highest-ranked human performances. The book's formal language and models are currently being used by leading researchers in Europe and Northern America and have become a foundation of music software design. This is also testified by the book's nineteen collaborators and the included CD-ROM containing software and music examples. Customer Reviews (2)
A massive and massively impressive work
The shotgun approach to deep musical structure |
3. Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Universitext) (Volume 0) by Saunders MacLane, Ieke Moerdijk | |
Paperback: 629
Pages
(1992-05-14)
list price: US$89.95 -- used & new: US$71.49 (price subject to change: see help) Asin: 0387977104 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Excellent
Clear explicit descriptions |
4. Sketches of an Elephant: A Topos Theory Compendium 2 Volume Set (Oxford Logic Guides) by Peter T. Johnstone | |
Hardcover: 1284
Pages
(2003-07-17)
list price: US$499.00 -- used & new: US$395.00 (price subject to change: see help) Asin: 019852496X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
An easy call If you merely want a professional understanding of what topos theory is, then read Johnstone's earlier TOPOS THEORY. That far shorter book gives a better overview. My Amazon review of it discusses others on the subject. Most are more accessible than Johnstone's books and go more into particular aspects of the theory. This book is a reference on all the methods, and the latest results, in topos theory. If you want the definition of "split opfibration", it is here, along with some 80 pages of background, examples, and motivation. Johnstone does an heroic job of unifying the terminology and organizing the theorems. More than that, Johnstone has written down an expert, encyclopedic view of the subject today. It is rare for a top mathematical researcher to give so deep an account of their field. It is rare for anyone to even work out such an explicit, coherent, extensive account of the whole. Not everyone will agree with his view. Some would like to see much less of such logical topics as "allegories", others would like to see the logic more formalized from the start. But Johnstone builds a case for his choices: partly implicit in his success at explaining things this way, and partly by explicit reasons. If you want to know that much about the subject then you want to immerse yourself in this book. ... Read more |
5. Topos Theory (London Mathematical Society Monographs, 10) by P.T. Johnstone | |
Hardcover: 367
Pages
(1977-12)
Isbn: 0123878500 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (2)
Still the standard text Mac Lane and Moerdijk SHEAVES IN GEOMETRY AND LOGIC is a beautifully written book, a long and well motivated book packed with well chosen clearly explained examples. Both those authors have a rare gift for conveying an insider's view of the subject from the start. My own book ELEMENTARY CATEGORIES, ELEMENTARY TOPOSES goes quickly and simply to the key ideas (if I say so myself). Barr and Wells TOPOSES, TRIPLES, AND THEORIES uses the most efficient tools to get at the central theorems. But no other book goes as concisely and comprehensively to all the aspects of toposes as this one. Category theory, algebra, logic, arithmetic, geometry, and cohomology all come in, in a well chosen perspective. This book is hard to read in places, especially at the start. It cannot serve alone as an introduction unless you are really gifted. But it remains the best single text on the subject. Johnstone has a three-volume set on the current state of topos theory due to appear later this year. It may well become the standard reference. But it will not replace this book.
A classic book on topos theory |
6. Sketches of an Elephant: A Topos Theory Compendium Volume 2 (Oxford Logic Guides, 44) by Peter T. Johnstone | |
Hardcover: 730
Pages
(2002-11-21)
list price: US$299.00 -- used & new: US$199.95 (price subject to change: see help) Asin: 0198515987 Canada | United Kingdom | Germany | France | Japan | |
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7. Algebra in a Localic Topos With Application to Ring Theory (Lecture Notes in Mathematics 1038) by Francis Borceux | |
Paperback: 240
Pages
(1983-11)
list price: US$35.95 Isbn: 0387127119 Canada | United Kingdom | Germany | France | Japan | |
8. Topos Theory: Grothendieck Topology | |
Paperback: 38
Pages
(2010-05-31)
list price: US$14.14 -- used & new: US$14.13 (price subject to change: see help) Asin: 1156293219 Canada | United Kingdom | Germany | France | Japan | |
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9. Toposes, Triples and Theories (Grundlehren der mathematischen Wissenschaften) by M. Barr, C. Wells | |
Hardcover: 345
Pages
(1984-12-20)
list price: US$82.95 Isbn: 0387961151 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
Great book; out of print. |
10. Algebra in a Localic Topos with Applications to Ring Theory (Lecture Notes in Mathematics) by F. Borceux, G. Van den Bossche | |
Paperback: 240
Pages
(1983-11-30)
list price: US$46.00 -- used & new: US$35.90 (price subject to change: see help) Asin: 3540127119 Canada | United Kingdom | Germany | France | Japan | |
11. Sketches of an Elephant: A Topos Theory Compendiumm vol. 1 (Oxford Logic Guides, 43) by Peter T. Johnstone | |
Hardcover: 568
Pages
(2002-11-21)
list price: US$299.00 -- used & new: US$189.95 (price subject to change: see help) Asin: 0198534256 Canada | United Kingdom | Germany | France | Japan | |
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12. An introduction to fibrations, topos theory, the effective topos and modest sets (LFCS report series) by Wesley Phoa | |
Unknown Binding: 150
Pages
(1992)
Asin: B0000COKWY Canada | United Kingdom | Germany | France | Japan | |
13. Sketches of an Elephant: A Topos Theory Compendium. Vol. 1 by Peter T. Johnstone | |
Paperback:
Pages
(2002)
Asin: B000OLC54Y Canada | United Kingdom | Germany | France | Japan | |
14. First Order Categorical Logic: Model-Theoretical Methods in the Theory of Topoi and Related Categories (Lecture Notes in Mathematics) (Volume 0) by M. Makkai, G.E. Reyes | |
Paperback: 320
Pages
(1977-10-05)
list price: US$46.00 -- used & new: US$41.37 (price subject to change: see help) Asin: 3540084398 Canada | United Kingdom | Germany | France | Japan | |
15. Model Theory and Topoi (Lecture Notes in Mathematics) | |
Paperback: 364
Pages
(1975-09-09)
list price: US$46.00 -- used & new: US$42.26 (price subject to change: see help) Asin: 3540071644 Canada | United Kingdom | Germany | France | Japan | |
16. Diario de Un Skin: Un Topo En El Movimiento Neonazi Espanol (Spanish Edition) by Antonio Salas | |
Hardcover: 340
Pages
(2003-01)
-- used & new: US$40.91 (price subject to change: see help) Asin: 8484602508 Canada | United Kingdom | Germany | France | Japan | |
17. Another Sheaf by John Galsworthy | |
Kindle Edition:
Pages
(2010-06-16)
list price: US$4.00 Asin: B003SNK05G Canada | United Kingdom | Germany | France | Japan | |
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18. Another Sheaf by John Galsworthy | |
Kindle Edition:
Pages
(2010-10-24)
list price: US$3.85 Asin: B00495XS10 Canada | United Kingdom | Germany | France | Japan | |
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19. Regular Category: Category Theory, Limit, Coequalizer, Abelian Category, First-Order Logic, Complete Category, Morphism, Pullback, Epimorphism, Category of Sets, Topos, Ring Homomorphism | |
Paperback: 124
Pages
(2010-01-26)
list price: US$55.00 Isbn: 6130347766 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
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