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Birational Geometry of Algebraic Varieties
ISBN: 9780521632775 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate...
One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be gen...
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cena:
535,26 |
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Foundations of Convex Geometry
ISBN: 9780521639705 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the foundations of Euclidean geometry from the point of view of mathematics, taking advantage of all the developments since the appearance of Hilbert's classic work. Here, real affine space is characterized by a small number of axioms involving points and line segments making the treatment self-contained and thorough. This treatment is accessible for final year undergraduates and graduate students, and can also serve as an introduction to other areas of mathematics such as matroids and antimatroids, combinatorial convexity, the theory of polytopes, projective geometry and...
This book presents the foundations of Euclidean geometry from the point of view of mathematics, taking advantage of all the developments since the app...
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cena:
252,22 |
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New Trends in Algebraic Geometry
ISBN: 9780521646598 / Angielski / Miękka / 496 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing seventeen survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A, D, E classification, centered around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric...
This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing seventeen survey and research articles selected from the mo...
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cena:
335,74 |
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
ISBN: 9780521655958 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type objects, such as strange attractors for dynamical systems, and those fractals used as models in the sciences. The author provides a firm and unified foundation for the subject and develops all the main tools used in its study, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Besicovitch-Federer theory of rectifiable sets, which form in a sense...
The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type obje...
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cena:
372,86 |
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Geometry and Topology for Mesh Generation
ISBN: 9780521682077 / Angielski / Miękka / 190 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book combines mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation) in order to solve the conceptual and technical problems in the combining of elements of combinatorial and numerical algorithms. The book develops methods from areas that are amenable to combination and explains recent breakthrough solutions to meshing that fit into this category. It should be an ideal graduate text for courses on mesh generation. The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, are...
This book combines mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation) in order to solve the concept...
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cena:
215,10 |
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Synthetic Differential Geometry
ISBN: 9780521687386 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Synthetic Differential Geometry is a method of reasoning in differential geometry and differential calculus, based on the assumption of sufficiently many nilpotent elements on the number line, in particular numbers d such that d2=0. The use of nilpotent elements allows one to replace the limit processes of calculus by purely algebraic calculations and notions. For the first half of the book, first published in 2006, familiarity with differential calculus and abstract algebra is presupposed during the development of results in calculus and differential geometry on a purely axiomatic/synthetic...
Synthetic Differential Geometry is a method of reasoning in differential geometry and differential calculus, based on the assumption of sufficiently m...
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cena:
368,21 |
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Lectures on the Ricci Flow
ISBN: 9780521689472 / Angielski / Miękka / 124 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed...
Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare conj...
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cena:
284,70 |
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Elliptic Cohomology: Geometry, Applications, and Higher Chromatic Analogues
ISBN: 9780521700405 / Angielski / Miękka / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with...
Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened ...
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cena:
343,93 |
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Algebraic Cycles and Motives: Volume 1
ISBN: 9780521701747 / Angielski / Miękka / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using...
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebra...
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cena:
382,14 |
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Algebraic Cycles and Motives: Volume 2
ISBN: 9780521701754 / Angielski / Miękka / 374 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This book is one of two volumes that provide a self-contained account of the subject as it stands. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using...
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebra...
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cena:
317,17 |
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Algebraic and Analytic Geometry
ISBN: 9780521709835 / Angielski / Miękka / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
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cena:
451,73 |
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Modular Forms and Galois Cohomology
ISBN: 9780521770361 / Angielski / Twarda / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of Taylor-Wiles proof of Fermat's last theorem. Hida begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and recent results on elliptic modular forms, including a substantial simplification of the Taylor-Wiles proof by Fujiwara and Diamond. He offers a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology...
This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of Taylor-Wiles proof of Fermat's last th...
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cena:
628,06 |
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Singularities of Plane Curves
ISBN: 9780521789592 / Angielski / Miękka / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves covers both the classical and modern aspects of the field. It gives a unified treatment with complete proofs and presents modern results which have only appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference. With new, previously unpublished results as well as applications to algebra and algebraic geometry, this book will be useful as a reference text for researchers in the field. It...
This comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves covers both the classical and modern...
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cena:
358,93 |
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Electromagnetic Theory and Computation: A Topological Approach
ISBN: 9780521801607 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their...
Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a la...
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cena:
539,90 |
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Elementary Geometry of Differentiable Curves
ISBN: 9780521804530 / Angielski / Twarda / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is a genuine introduction to the differential geometry of plane curves for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. This well-illustrated text contains several hundred worked examples and exercises, making it suitable for adoption as a course text. Key concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The author introduces the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes,...
Here is a genuine introduction to the differential geometry of plane curves for undergraduates in mathematics, or postgraduates and researchers in the...
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cena:
512,05 |
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Floer Homology Groups in Yang-Mills Theory
ISBN: 9780521808033 / Angielski / Twarda / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for self-dual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future...
This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was dev...
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cena:
600,21 |
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Frobenius Manifolds and Moduli Spaces for Singularities
ISBN: 9780521812962 / Angielski / Twarda / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For those working in singularity theory or other areas of complex geometry, this volume will open the door to the study of Frobenius manifolds. In the first part Hertling explains the theory of manifolds with a multiplication on the tangent bundle. He then presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will benefit from this careful and sound study of the fundamental structures and results in this exciting branch of mathematics.
For those working in singularity theory or other areas of complex geometry, this volume will open the door to the study of Frobenius manifolds. In the...
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cena:
539,90 |
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Introduction to Circle Packing: The Theory of Discrete Analytic Functions
ISBN: 9780521823562 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The topic of circle packing was born of the computer age but takes its inspiration and themes from core areas of classical mathematics. A circle packing is a configuration of circles having a specified pattern of tangencies, as introduced by William Thurston in 1985. This book lays out their study, from first definitions to latest theory, computations, and applications. The topic can be enjoyed for the visual appeal of the packing images - over 200 in the book - and the elegance of circle geometry, for the clean line of theory, for the deep connections to classical topics, or for the emerging...
The topic of circle packing was born of the computer age but takes its inspiration and themes from core areas of classical mathematics. A circle packi...
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cena:
433,18 |
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Computational Algebraic Geometry
ISBN: 9780521829649 / Angielski / Twarda / 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:
488,86 |
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
ISBN: 9780521831864 / Angielski / Twarda / 262 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. This book provides a rapid route for graduate students and researchers to contemplate the frontiers of contemporary research in this classic subject. The authors include exercises and historical and cultural comments relating the basic ideas to a broader context.
Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. This book provides a rapid route for graduate students and...
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cena:
539,90 |
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