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Undergraduate Algebraic Geometry
ISBN: 9780521356626 / Angielski / Miękka / 140 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of prerequisites, Dr. Reid introduces the reader to the basic concepts of algebraic geometry, including: plane conics, cubics and the group law, affine and projective varieties, and nonsingularity and dimension. He stresses the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book contains numerous examples and exercises illustrating the theory.
Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of pr...
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181,55 zł |
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Twistor Geometry and Field Theory
ISBN: 9780521422680 / Angielski / Miękka / 532 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part,...
This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in...
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cena:
439,79 zł |
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Complex Algebraic Curves
ISBN: 9780521423533 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properti...
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cena:
246,10 zł |
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Lectures on Elliptic Curves
ISBN: 9780521425308 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to...
The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in nu...
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cena:
181,55 zł |
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Complex Projective Geometry: Selected Papers
ISBN: 9780521433525 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: What is the geometric content of syzygies and of bundles derived from them? How can they be used for giving good compactifications of natural families? Which differential techniques are needed for the study of families of projective varieties? These questions are addressed in this cohesive volume, where results, work in progress, conjectures, and modern accounts of classical ideas are presented.
Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been dev...
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cena:
333,72 zł |
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The Geometry of Total Curvature on Complete Open Surfaces
ISBN: 9780521450546 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral ge...
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cena:
536,63 zł |
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An Introduction to Twistor Theory
ISBN: 9780521456890 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.
This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate lev...
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cena:
218,43 zł |
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97 Algebraic Curves Over Finite Fields
ISBN: 9780521459013 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Among the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri's proof of the Reimann hypothesis for function fields, with consequences for the estimation of exponential sums in one variable; Goppa's theory of error-correcting codes constructed from linear systems on algebraic curves; there is also a new proof of the...
In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the t...
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cena:
273,78 zł |
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Methods of Algebraic Geometry: Volume 3
ISBN: 9780521467759 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods, such as valuation theory.
In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods...
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cena:
333,72 zł |
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Methods of Algebraic Geometry: Volume 1
ISBN: 9780521469005 / Angielski / Miękka / 452 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasised throughout.
This first volume is divided into two parts. The first is devoted to pure algebra: the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is concerned with the definitions and basic properties of projective space in n... This work provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental c...
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cena:
421,34 zł |
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Methods of Algebraic Geometry: Volume 2
ISBN: 9780521469012 / Angielski / Miękka / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of these methods to some of the more important varieties that occur in projective geometry.
Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of th...
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cena:
273,78 zł |
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Lectures on Arakelov Geometry
ISBN: 9780521477093 / Angielski / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analytic tools such as currents on complex manifolds and the spectrum of Laplace operators. It has been used by Faltings and Vojta in their proofs of outstanding conjectures in diophantine geometry. This account presents the work of Gillet and Soule, extending Arakelov geometry to higher dimensions. It includes a proof of Serre's conjecture on intersection multiplicities and an arithmetic Riemann-Roch theorem. To aid number theorists, background...
Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analy...
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cena:
246,10 zł |
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Lectures on Vector Bundles
ISBN: 9780521481823 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work consists of two sections on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic curves. The author also discusses the construction and elementary properties of the moduli spaces of stable bundles. In particular Le Potier constructs HilbertSHGrothendieck schemes of vector bundles, and treats Mumford's geometric invariant theory. The second part centers on the structure of the moduli space of semistable sheaves on the projective plane. The author sketches existence conditions for sheaves of given rank, and Chern class and...
This work consists of two sections on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic cu...
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cena:
670,37 zł |
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Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
ISBN: 9780521483704 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial cases they can find all rational points. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not...
The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of t...
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cena:
342,95 zł |
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Complex Algebraic Surfaces
ISBN: 9780521495103 / Angielski / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The...
The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active...
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cena:
596,59 zł |
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Arithmetic of Diagonal Hypersurfaces Over Finite Fields
ISBN: 9780521498340 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures in this area are of great interest to researchers in number theory and algebraic geometry. This book deals with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help nonspecialists gain...
There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures in this area are of great interest to rese...
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cena:
227,66 zł |
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Complex Algebraic Surfaces
ISBN: 9780521498425 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The...
The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active...
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cena:
195,37 zł |
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Abelian Functions
ISBN: 9780521498777 / Angielski / Miękka / 724 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincare, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century the methods and ideas of topology, commutative algebra and Grothendieck's schemes enriched it and seemed to have replaced once and forever the somewhat naive language of classical algebraic geometry. This classic book, written in 1897, covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and...
Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincare, Clebsch, Jacobi and other outstanding math...
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cena:
421,34 zł |
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Vector Bundles in Algebraic Geometry
ISBN: 9780521498784 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Successive waves of migrant concepts, largely from mathematical physics, have stimulated the study of vector bundles over algebraic varieties in the past few years. But the subject has retained its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on vector bundles in algebraic geometry brought together some of the leading researchers in the field to further explore these interactions. This book is a collection of survey articles by the main speakers at the Symposium and presents to the mathematical world an overview of the key areas of research...
Successive waves of migrant concepts, largely from mathematical physics, have stimulated the study of vector bundles over algebraic varieties in the p...
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cena:
296,84 zł |
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Computational Algebraic Geometry
ISBN: 9780521536509 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.
Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings ...
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cena:
176,93 zł |
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