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Algebraic Geometry: A First Course
ISBN: 9780387977164 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the...
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title sugg...
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242,07 zł |
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Rational Points on Elliptic Curves
ISBN: 9780387978253 / Angielski / Twarda / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended for junior and senior mathematics majors, were recorded, tran- scribed, and printed in mimeograph form. Since that time they have been widely distributed as photocopies of ever decreasing legibility, and por- tions have appeared in various textbooks (Husemoller 1], Chahal 1]), but they have never appeared in their entirety. In view of the recent inter- est in the theory of elliptic curves for subjects ranging from cryptogra- phy...
In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "Rational Points on Cubic Curves. " These lectures,...
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149,10 zł |
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Introduction to Elliptic Curves and Modular Forms
ISBN: 9780387979663 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians...
This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "...
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221,73 zł |
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Algebraic Surfaces and Holomorphic Vector Bundles
ISBN: 9780387983615 / Angielski / Twarda / 329 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on courses given at Columbia University on vector bun- dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald- son invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing Donaldson invariants. Since that time, the focus of 4-manifold topology has shifted dramatically, at first be-...
This book is based on courses given at Columbia University on vector bun- dles (1988) and on the theory of algebraic surfaces (1992), as well as lectu...
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322,77 zł |
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Moduli of Curves
ISBN: 9780387984292 / Angielski / Miękka / 369 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Aims Theaimofthisbookistoprovideaguidetoarichandfascinatings- ject: algebraic curves, and how they vary in families. The revolution that the ?eld of algebraic geometry has undergone with the introd- tion of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understandthebehaviorofcurvesinwaysthatsimplywerenotpos- ble a half-century ago. This in turn has led, over the last few decades, to a burst of activity in the area, resolving long-standing problems and generating new and unforeseen results and questions. We hope to...
Aims Theaimofthisbookistoprovideaguidetoarichandfascinatings- ject: algebraic curves, and how they vary in families. The revolution that the ?eld of a...
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262,25 zł |
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Introduction to the Mori Program
ISBN: 9780387984650 / Angielski / Twarda / 478 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable way with lots of background motivation. Prerequisites are those covered in Hartshorne's book "Algebraic Geometry." This is the first book in this extremely important and active field of research and will become a key resource for graduate students wanting to get into the area.
Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of high...
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cena:
403,47 zł |
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Intersection Theory
ISBN: 9780387985497 / Angielski / Miękka / 470 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic...
From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last tw...
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484,18 zł |
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The Geometry of Schemes
ISBN: 9780387986371 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice. Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applie... |
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262,25 zł |
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The Geometry of Schemes
ISBN: 9780387986388 / Angielski / Twarda / 294 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice. Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applie... |
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298,40 zł |
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Algebraic Surfaces
ISBN: 9780387986685 / Angielski / Twarda / 259 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is based on a series of talks given by the author in the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest. The main goal is the classification of nonsingular projective surfaces (also called simply surfaces). In the context of complex algebraic varieties, the classification was obtained by Enriques and Castelnuovo. Around 1960, Kodaira Kodl, Kod2] revived and simplified the...
The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arb...
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cena:
322,77 zł |
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Diophantine Geometry: An Introduction
ISBN: 9780387989754 / Angielski / Twarda / 561 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises. This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make... |
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363,12 zł |
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An Invitation to Algebraic Geometry
ISBN: 9780387989808 / Angielski / Twarda / 164 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.
The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and ...
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282,42 zł |
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Power Geometry in Algebraic and Differential Equations: Volume 57
ISBN: 9780444502971 / Angielski / Twarda / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.
The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems. The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics.... The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the ...
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721,86 zł |
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Principles of Algebraic Geometry
ISBN: 9780471050599 / Angielski / Miękka / 832 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Changes in algebraic geometry have made the subject increasingly inaccessible to all but specialists in the field. This comprehensive, self-contained monograph presents some of the main, general results of the theory accompanied by, and with emphasis on, their applications to the study of interesting examples and to the development of computational tools. The effective utilization of the techniques of elementary complex analysis and topology synthesize the classical and the modern into a cohesive presentation.
Changes in algebraic geometry have made the subject increasingly inaccessible to all but specialists in the field. This comprehensive, self-contained ...
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cena:
747,85 zł |
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Geometric Algebra
ISBN: 9780471608394 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group.
This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition i...
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cena:
1080,12 zł |
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Algebraic Geometry
ISBN: 9780486446110 / Angielski / Miękka / 233 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra.
The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field,... This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topol...
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cena:
57,46 zł |
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Advanced Euclidean Geometry
ISBN: 9780486462370 / Angielski / Miękka / 319 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises.
The author makes liberal use of circular inversion, the theory of pole and polar, and... For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other...
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cena:
68,99 zł |
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Compactification of Siegel Moduli Schemes
ISBN: 9780521312530 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms.
The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic ge...
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cena:
356,78 zł |
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Complex Functions: An Algebraic and Geometric Viewpoint
ISBN: 9780521313667 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great revival of interest in these topics not only for their own sake but also because of their applications to so many areas of mathematical research from group theory and number theory to topology and differential equations. In this book the authors give elementary accounts of many aspects of classical complex function theory including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. A distinctive feature of...
Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great revival of in...
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cena:
278,39 zł |
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Geometry and Interpolation of Curves and Surfaces
ISBN: 9780521321532 / Angielski / Twarda / 430 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic...
This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applicatio...
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cena:
605,81 zł |
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