Explore tips, opinions, and features on Sheaves in Geometry and Logic sold at 74.27 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds Sheaves also appear in logic as carriers for models of set theory This text presents topos theory as it has developed from the study of sheaves Beginning with several examples it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic
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Explore tips, opinions, and features on Sheaves in Geometry and Logic sold at 58.83 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds Sheaves also appear in logic as carriers for models of set theory This text presents topos theory as it has developed from the study of sheaves Beginning with several examples it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic
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Discover information, advice, and prices for Vitalsource Technologies Inc Sheaves in sold for 84.99 $ , available in the Books & Magazines category; this product is sold by Textbooks.com and made by Vitalsource Technologies, Inc..
A digital copy of Sheaves in Geometry and Logic by Saunders MacLane Ieke Moerdijk Download is immediately available upon purchase
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Find tips, reviews, and features on Springer Verlag New York Sheaves sold for 25.5 $ , available in the Books & Magazines category; this product belongs to Springer-Verlag New York and is sold by Textbooks.com.
A digital copy of Sheaves in Geometry and Logic by Maclane Download is immediately available upon purchase
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Discover information, advice, and prices for Mathematische Strukturen From Linear Algebra, priced at 78.73 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .
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Explore tips, opinions, and features on Algebraic Geometry 2 Sheaves and sold at 73.25 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Modern algebraic geometry is built upon two fundamental notions schemes and sheaves The theory of schemes was explained in Algebraic Geometry 1 From Algebraic Varieties to Schemes see Volume 185 in the same series Translations of Mathematical Monographs In the present book Ueno turns to the theory of sheaves and their cohomology Loosely speaking a sheaf is a way of keeping track of local information defined on a topological space such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle To study schemes it is useful to study the sheaves defined on them especially the coherent and quasicoherent sheaves The primary tool in understanding sheaves is cohomology For example in studying ampleness it is frequently useful to translate a property of sheaves into a statement about its cohomology The text covers the important topics of sheaf theory including types of sheaves and the fundamental operations on them such as coherent and quasicoherent sheaves proper and projective morphisms direct and inverse images Cech cohomology For the mathematician unfamiliar with the language of schemes and sheaves algebraic geometry can seem distant However Ueno makes the topic seem natural through his concise style and his insightful explanations He explains why things are done this way and supplements his explanations with illuminating examples As a result he is able to make algebraic geometry very accessible to a wide audience of nonspecialists
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Explore tips, opinions, and features on Algebraic Geometry 2 Sheaves and sold at 80.38 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Modern algebraic geometry is built upon two fundamental notions schemes and sheaves The theory of schemes was explained in Algebraic Geometry 1 From Algebraic Varieties to Schemes see Volume 185 in the same series Translations of Mathematical Monographs In the present book Ueno turns to the theory of sheaves and their cohomology Loosely speaking a sheaf is a way of keeping track of local information defined on a topological space such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle To study schemes it is useful to study the sheaves defined on them especially the coherent and quasicoherent sheaves The primary tool in understanding sheaves is cohomology For example in studying ampleness it is frequently useful to translate a property of sheaves into a statement about its cohomology The text covers the important topics of sheaf theory including types of sheaves and the fundamental operations on them such as coherent and quasicoherent sheaves proper and projective morphisms direct and inverse images Cech cohomology For the mathematician unfamiliar with the language of schemes and sheaves algebraic geometry can seem distant However Ueno makes the topic seem natural through his concise style and his insightful explanations He explains why things are done this way and supplements his explanations with illuminating examples As a result he is able to make algebraic geometry very accessible to a wide audience of nonspecialists
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Discover information, advice, and prices for Linear Algebra and Geometry Logic, priced at 142.24 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .
This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics Differing from existing textbooks in approach the work illustrates the manysided applications and connections of linear algebra with functional analysis quantum mechanics and algebraic and differential geometry The subjects covered in some detail include normed linear spaces functions of linear operators the basic structures of quantum mechanics and an introduction to linear programming Also discussed are Kahlers metic the theory of Hilbert polynomials and projective and affine geometries Unusual in its extensive use of applications in physics to clarify each topic this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics and to lecturers in linear and multilinear algebra linear programming and quantum mechanics
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Explore tips, opinions, and features on Toposes Algebraic Geometry and Logic sold at 36.06 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Toposes Algebraic Geometry and Logic Dalhousie University Halifax January 1619 1971 Lecture Notes in Mathematics paperback Lawvere F W Oct 20 1972
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Find tips, reviews, and features on Toposes Algebraic Geometry and Logic sold for 38.94 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Toposes Algebraic Geometry and Logic Dalhousie University Halifax January 1619 1971 Lecture Notes in Mathematics paperback Lawvere F W Oct 20 1972
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Find tips, reviews, and features on Sheaves on Manifolds With a sold for 49.95 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Sheaf Theory is modern active field of mathematics at the intersection of algebraic topology algebraic geometry and partial differential equations This volume offers a comprehensive and selfcontained treatment of Sheaf Theory from the basis up with emphasis on the microlocal point of view From the reviews Clearly and precisely written and contains many interesting ideas it describes a whole largely new branch of mathematics Bulletin of the LMS
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Explore tips, opinions, and features on Sheaves on Manifolds With a sold at 172 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Sheaf Theory is modern active field of mathematics at the intersection of algebraic topology algebraic geometry and partial differential equations This volume offers a comprehensive and selfcontained treatment of Sheaf Theory from the basis up with emphasis on the microlocal point of view From the reviews Clearly and precisely written and contains many interesting ideas it describes a whole largely new branch of mathematics Bulletin of the LMS
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Discover information, advice, and prices for Complex Differential Geometry AMS IP sold for 134.87 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
Discusses the differential geometric aspects of complex manifolds This work contains standard materials from general topology differentiable manifolds and basic Riemannian geometry It discusses complex manifolds and analytic varieties sheaves and holomorphic vector bundles It also gives a brief account of the surface classification theory
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Discover information, advice, and prices for Topological Methods in Algebraic Geometry sold for 37.93 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
In recent years new topological methods especially the theory of sheaves founded by J LERAY have been applied successfully to algebraic geometry and to the theory of functions of several complex variables H CARTAN and J P SERRE have shown how fundamental theorems on holomorphically complete manifolds STEIN manifolds can be for mulated in terms of sheaf theory These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete J P SERRE has obtained important results on algebraic manifolds by these and other methods Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic K KODAIRA and D C SPENCER have also applied sheaf theory to algebraic geometry with great success Their methods differ from those of SERRE in that they use techniques from differential geometry harmonic integrals etc but do not make any use of the theory of STEIN manifolds M F ATIYAH and W V D HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory I was able to work together with K KODAIRA and D C SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954
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Discover information, advice, and prices for Hodge Theory and Complex Algebraic sold for 49.99 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
This is a modern introduction to Kaehlerian geometry and Hodge structure Coverage begins with variables complex manifolds holomorphic vector bundles sheaves and cohomology theory with the latter being treated in a more theoretical way than is usual in geometry The book culminates with the Hodge decomposition theorem In between the author proves the Kaehler identities which leads to the hard Lefschetz theorem and the Hodge index theorem The second part of the book investigates the meaning of these results in several directions
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Discover information, advice, and prices for Topological Methods in Algebraic Geometry sold for 60.76 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
In recent years new topological methods especially the theory of sheaves founded by J LERAY have been applied successfully to algebraic geometry and to the theory of functions of several complex variables H CARTAN and J P SERRE have shown how fundamental theorems on holomorphically complete manifolds STEIN manifolds can be for mulated in terms of sheaf theory These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete J P SERRE has obtained important results on algebraic manifolds by these and other methods Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic K KODAIRA and D C SPENCER have also applied sheaf theory to algebraic geometry with great success Their methods differ from those of SERRE in that they use techniques from differential geometry harmonic integrals etc but do not make any use of the theory of STEIN manifolds M F ATIYAH and W V D HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory I was able to work together with K KODAIRA and D C SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954
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Find tips, reviews, and features on Geometry Plane and Practical Books sold for 102.21 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
A review of the fundamental concepts of geometry covers mathematical logic triangles quadrilaterals polygons circles space solid figures and trigonometery
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Discover information, advice, and prices for Algebraic Geometry 1 From Varieties sold for 27.31 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
This is the first of three volumes on algebraic geometry The second volume Algebraic Geometry 2 Sheaves and Cohomology is available from the AMS as Volume 197 in the Translations of Mathematical Monographs series Early in the 20th century algebraic geometry underwent a significant overhaul as mathematicians notably Zariski introduced a much stronger emphasis on algebra and rigor into the subject This was followed by another fundamental change in the 1960s with Grothendiecks introduction of schemes Today most algebraic geometers are wellversed in the language of schemes but many newcomers are still initially hesitant about them Uenos book provides an inviting introduction to the theory which should overcome any such impediment to learning this rich subject The book begins with a description of the standard theory of algebraic varieties Then sheaves are introduced and studied using as few prerequisites as possible Once sheaf theory has been well understood the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring By studying algebraic varieties over a field Ueno demonstrates how the notion of schemes is necessary in algebraic geometry This first volume gives a definition of schemes and describes some of their elementary properties It is then possible with only a little additional work to discover their usefulness Further properties of schemes will be discussed in the second volume
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Find tips, reviews, and features on Hodge Theory and Complex Algebraic sold for 70.85 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
This is a modern introduction to Kaehlerian geometry and Hodge structure Coverage begins with variables complex manifolds holomorphic vector bundles sheaves and cohomology theory with the latter being treated in a more theoretical way than is usual in geometry The book culminates with the Hodge decomposition theorem In between the author proves the Kaehler identities which leads to the hard Lefschetz theorem and the Hodge index theorem The second part of the book investigates the meaning of these results in several directions
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Discover information, advice, and prices for Synergetics Explorations in the Geometry, priced at 72.82 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .
Using an inspired combination of geometric logic and metaphors from familiar human experience Bucky invites readers to join him on a trip through a fourdimensional Universe where concepts as diverse as entropy Einsteins relativity equations and the meaning of existence become clear understandable and immediately involving
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