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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344,56 zł |
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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267,98 zł |
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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813,76 zł |
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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796,89 zł |
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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1218,83 zł |
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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64,83 zł |
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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77,84 zł |
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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315,83 zł |
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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286,35 zł |
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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620,55 zł |
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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188,07 zł |
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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448,51 zł |
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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251,95 zł |
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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188,07 zł |
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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296,17 zł |
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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551,75 zł |
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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222,46 zł |
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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281,43 zł |
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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340,40 zł |
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:
433,77 zł |