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A User's Guide to Spectral Sequences
ISBN: 9780521567596 / Angielski / Miękka / 578 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein...
Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examp...
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cena:
295,64 |
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From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes
ISBN: 9780521589567 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, Chern and Euler classes, Thom...
De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characte...
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cena:
245,07 |
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Global Analysis on Foliated Spaces
ISBN: 9780521613057 / Angielski / Miękka / 293 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo)-differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This book presents a complete proof of this...
Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspon...
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cena:
330,19 |
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Orthonormal Systems and Banach Space Geometry
ISBN: 9780521624626 / Angielski / Twarda / 564 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of...
Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysi...
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cena:
764,10 |
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Geometric Approaches to Differential Equations
ISBN: 9780521775984 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The authors present an overview of this developing subject and introduce a number of related topics, including twistor theory, vortex filament dynamics, calculus of variations, exterior differential systems and Backlund transformations. The book is an ideal starting point for graduate students embarking on research.
Here is a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The authors present an overvi...
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cena:
249,71 |
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Algebraic Topology
ISBN: 9780521795401 / Angielski / Miękka / 558 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many...
In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is sui...
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cena:
252,71 |
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Deterministic Observation Theory and Applications
ISBN: 9780521805933 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work presents a general theory as well as constructive methodology in order to solve "observation problems," namely, those problems that pertain to reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but practical applications in the chemical and petroleum industries are shown.
This work presents a general theory as well as constructive methodology in order to solve "observation problems," namely, those problems that pertain ...
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cena:
529,87 |
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An Introduction to Invariants and Moduli
ISBN: 9780521809061 / Angielski / Twarda / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Incorporated in this volume are the first two books in Mukai's series on Moduli Theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial ingredient in the proof of Fermat's last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Among other things this volume includes an improved presentation of the classical foundations of...
Incorporated in this volume are the first two books in Mukai's series on Moduli Theory. The notion of a moduli space is central to geometry. However, ...
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cena:
658,47 |
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Hinged Dissections: Swinging and Twisting
ISBN: 9780521811927 / Angielski / Twarda / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. If you enjoy beautiful geometry and relish the challenge and excitement of something new, the mathematical art of hinged dissections is for you. Using this book, you can explore ways to create hinged collections of pieces that swing together to form a figure. Swing them another way and then, like magic, they form another figure The profuse illustrations and lively text will show you how to find a wealth of hinged dissections for all kinds of polygons, stars and crosses, curved and even three-dimensional figures. The author includes careful explanation of ingenious new techniques, as well as...
If you enjoy beautiful geometry and relish the challenge and excitement of something new, the mathematical art of hinged dissections is for you. Using...
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cena:
580,39 |
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Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory
ISBN: 9780521813310 / Angielski / Twarda / 432 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.
This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The autho...
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cena:
635,50 |
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Algebra and Geometry
ISBN: 9780521813624 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry including groups of isometries, rotations, and spherical geometry. The emphasis is on the interaction among these topics. The text is divided into short sections, with exercises at the end of each section.
This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and ve...
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cena:
460,98 |
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The Geometry of Efficient Fair Division
ISBN: 9780521842488 / Angielski / Twarda / 472 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. What is the best way to divide a cake and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large...
What is the best way to divide a cake and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and ...
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cena:
649,28 |
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Combinatorial and Computational Geometry
ISBN: 9780521848626 / Angielski / Twarda / 630 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the past few decades, the gradual merger of Discrete Geometry and the newer discipline of Computational Geometry has provided enormous impetus to mathematicians and computer scientists interested in geometric problems. This volume, which contains 32 papers on a broad range of topics of current interest in the field, is an outgrowth of that synergism. It includes surveys and research articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in...
During the past few decades, the gradual merger of Discrete Geometry and the newer discipline of Computational Geometry has provided enormous impetus ...
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cena:
447,20 |
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Further Advances in Twistor Theory: Volume II: Integrable Systems, Conformal Geometry and Gravitation
ISBN: 9780582004658 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space.
Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the... Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum th...
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cena:
630,22 |
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Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
ISBN: 9780684865249 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip... Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Gree...
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cena:
72,18 |
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Modern Methods in Complex Analysis (Am-137), Volume 137: The Princeton Conference in Honor of Gunning and Kohn. (Am-137)
ISBN: 9780691044286 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems,... The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis ... |
cena:
484,79 |
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Discrete Groups in Space and Uniformization Problems
ISBN: 9780792302162 / Angielski / Twarda / 482 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, this volume presents a comprehensive treatment of the geometric theory of discrete groups and the associated tessellations of the underlying space. Also
A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, th...
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cena:
403,47 |
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Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis
ISBN: 9780792331919 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called Nonstandard analysis'. Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier.
During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been... In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called Nonstandard analysis'. Nonstandard' here refers t...
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cena:
605,23 |
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Closure Spaces and Logic
ISBN: 9780792341109 / Angielski / Twarda / 230 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved...
This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract...
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cena:
605,23 |
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The Mathematics of Long-Range Aperiodic Order
ISBN: 9780792345060 / Angielski / Twarda / 556 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. THEOREM: Rotational symmetries of order greater than six, and also five-fold rotational symmetry, are impossible for a periodic pattern in the plane or in three-dimensional space. The discovery of quasicrystals shattered this fundamental 'law', not by showing it to be logically false but by showing that periodicity was not synonymous with long-range order, if by 'long-range order' we mean whatever order is necessary for a crystal to produce a diffraction pat- tern with sharp bright spots. It suggested that we may not know what 'long-range order' means, nor what a 'crystal' is, nor how...
THEOREM: Rotational symmetries of order greater than six, and also five-fold rotational symmetry, are impossible for a periodic pattern in the plane o...
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cena:
1210,50 |
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