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Introduction to Geometric Probability
ISBN: 9780521596541 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little more than first-year graduate mathematics. Klein and Rota present the theory of intrinsic volumes due to Hadwiger, McMullen, Santalo and others, along with a complete and elementary proof of Hadwiger's characterization theorem of invariant measures in Euclidean n-space. They develop the theory of the Euler characteristic from an integral-geometric point of view. The authors then prove the fundamental theorem of integral geometry, namely, the...
Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little mo...
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252,22 |
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Tame Topology and O-Minimal Structures
ISBN: 9780521598385 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. It starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal setting and show how these notions are easier to handle than in ordinary...
Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebr...
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cena:
349,66 |
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Invariants of Quadratic Differential Forms
ISBN: 9780521604840 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written in the wake of the advent of Relativity by an author who made important contributions to projective and differential geometry, and topology, this early Cambridge Tract in Mathematics and Theoretical Physics aimed to assist students of the time from the fields of differential geometry and mathematical physics. Beginning by introducing formal preliminaries, the text continues, bringing the underlying differential invariant theory that to this day remains relevant in a range of geometrical and physical applications, to the fore.
Written in the wake of the advent of Relativity by an author who made important contributions to projective and differential geometry, and topology, t...
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cena:
229,29 |
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Poisson Geometry, Deformation Quantisation and Group Representations
ISBN: 9780521615051 / Angielski / Miękka / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid;...
Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quant...
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cena:
409,97 |
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Fundamentals of Hyperbolic Manifolds: Selected Expositions
ISBN: 9780521615587 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book includes reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of some of Thurston's pioneering Princeton Notes, with a new introduction describing recent advances, including an up-to-date bibliography. Part II expounds the theory of convex hull boundaries: a new appendix describes recent work. Part III is Thurston's famous paper on earthquakes in hyperbolic geometry. The final part introduces the theory of measures on the limit set. Graduate students and researchers will welcome this rigorous introduction to the modern theory of hyperbolic...
This book includes reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of some of Thurston's pioneering Prince...
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cena:
467,73 |
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Spaces of Kleinian Groups
ISBN: 9780521617970 / Angielski / Miękka / 390 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution of many longstanding conjectures. This volume contains important expositions and original work by some of the main contributors on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory, computer explorations and projective structures. Researchers in these and related areas will find much of interest here from the explosion in the area over recent years, including important and original...
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the res...
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cena:
467,73 |
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Riemannian Geometry: A Modern Introduction
ISBN: 9780521619547 / Angielski / Miękka / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the...
Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics...
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cena:
353,09 |
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Flavors of Geometry
ISBN: 9780521629621 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Flavors of Geometry is a collection of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. It presents chapters by masters in their fields on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and many of the lectures are richly illustrated. The book includes...
Flavors of Geometry is a collection of lectures on four geometrically-influenced fields of mathematics that have experienced great development in rece...
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cena:
201,18 |
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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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