Quantum Geometry: A Framework for Quantum General Relativity
ISBN: 9780792316404 / Angielski / Twarda / 530 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present monograph provides a systematic and basicaIly self-eontained introduetion to a mathematieal framework eapable of ineOIporating those fundamental physical premises of general relativity and quantum meehanics which are not mutually ineonsistent, and which ean be therefore retained in the unifieation of these two fundamental areas of twentieth eentury physics. Thus, its underlying thesis is that the equivalenee principle of classical general relativity remains true at the quantum level, where it has to be reeonciled, however, with the uneertainty principle. As will be discussed in...
The present monograph provides a systematic and basicaIly self-eontained introduetion to a mathematieal framework eapable of ineOIporating those funda...
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cena:
767,51 zł |
Hamiltonian Mechanical Systems and Geometric Quantization
ISBN: 9780792323068 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is a revised and updated version of the lectures given by the author at the University of Timi oara during the academic year 1990-1991. Its goal is to present in detail someold and new aspects ofthe geometry ofsymplectic and Poisson manifolds and to point out some of their applications in Hamiltonian mechanics and geometric quantization. The material is organized as follows. In Chapter 1 we collect some general facts about symplectic vector spaces, symplectic manifolds and symplectic reduction. Chapter 2 deals with the study ofHamiltonian mechanics. We present here the gen eral...
The book is a revised and updated version of the lectures given by the author at the University of Timi oara during the academic year 1990-1991. Its g...
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cena:
191,85 zł |
Nilpotent Lie Algebras
ISBN: 9780792339328 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nilpotent Ue algebras have played an Important role over the last ye US: either In the domain at Algebra when one considers Its role In the classlftcation problems of Ue algebras, or In the domain of geometry since one knows the place of nilmanlfolds In the Illustration, the description and representation of specific situations. The first fondamental results In the study of nilpotent Ue algebras are obvlsouly, due to Umlauf. In his thesis (leipZig, 1991), he presented the first non trlvlal classifications. The systematic study of real and complex nilpotent Ue algebras was Independently begun...
Nilpotent Ue algebras have played an Important role over the last ye US: either In the domain at Algebra when one considers Its role In the classlftca...
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cena:
575,62 zł |
The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds
ISBN: 9780792341741 / Angielski / Twarda / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra...
The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the...
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cena:
614,00 zł |
Meromorphic Functions and Projective Curves
ISBN: 9780792355052 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter consists of holomorphic maps from a compact Riemann surface to complex projective space. Our emphasis is on families of meromorphic functions and holomorphic curves. Our approach is more geometric than algebraic along the lines of Griffiths-Harrisl]. AIso, we have relied on the books Namba] and Arbarello-Cornalba-Griffiths-Harris] to agreat exten- nearly every result in Chapters 1 through 4 can be found in the union of these two books. Our...
This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter c...
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cena:
383,73 zł |
Semi-Riemannian Maps and Their Applications
ISBN: 9780792356615 / Angielski / Twarda / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps.
The first three chapters are devoted to the development of fundamental concepts and formulas in semi-Riemannian geometry which are used throughout... A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric p...
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cena:
383,73 zł |
Smooth Quasigroups and Loops
ISBN: 9780792359203 / Angielski / Twarda / 249 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure of...
During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our wor...
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cena:
191,85 zł |
Noncommutative Differential Geometry and Its Applications to Physics: Proceedings of the Workshop at Shonan, Japan, June 1999
ISBN: 9780792369301 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments.
However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation... Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of fol...
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cena:
575,62 zł |
Dirac Operators in Representation Theory
ISBN: 9780817632182 / Angielski / Twarda / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential... This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying th... |
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cena:
383,73 zł |
Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces
ISBN: 9780817635268 / Angielski / Twarda / 207 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji, and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the... Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mat... |
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cena:
383,73 zł |
Complex Tori
ISBN: 9780817641030 / Angielski / Twarda / 255 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A complex torus is a connected compact complex Lie group. Any complex 9 9 torus is of the form X =
A complex torus is a connected compact complex Lie group. Any complex 9 9 torus is of the form X =
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cena:
383,73 zł |
Symmetry in Mechanics: A Gentle, Modern Introduction
ISBN: 9780817641450 / Angielski / Miękka / 193 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modem undergraduate students - not the ideal stu dents that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but ap preciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler...
"And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modem undergraduate...
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cena:
211,04 zł |
Geometric Function Theory: Explorations in Complex Analysis
ISBN: 9780817643393 / Angielski / Twarda / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. * Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations
* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research |
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cena:
345,36 zł |
Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics
ISBN: 9780817643522 / Angielski / Twarda / 289 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.
This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces... |
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cena:
191,85 zł |
Representation Theory and Automorphic Forms
ISBN: 9780817645052 / Angielski / Twarda / 214 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume. This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that tra... |
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cena:
498,87 zł |
Differential Geometry, Calculus of Variations, and Their Applications
ISBN: 9780824772673 / Angielski / Miękka / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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1446,77 zł |
Finsler and Lagrange Geometries: Proceedings of a Conference Held on August 26-31, Iaşi, Romania
ISBN: 9781402013904 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra ov, Romania (1994), Seattle, USA (1995), Edmonton, Canada (1998), besides the Seminars that periodically are held in Japan and Romania. All these meetings produced important progress in the field and brought forth the appearance of some reference volumes. Along this line, a new International Conference on Finsler and Lagrange Geometry took place August 26-31,2001 at the "Al.I.Cuza" University in Ia i, Romania. This Conference was organized in the framework of a Memorandum of...
In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra ov, Romania (1994), Seattle, U...
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cena:
383,73 zł |
Matrix Groups: An Introduction to Lie Group Theory
ISBN: 9781852334703 / Angielski / Miękka / 330 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter.
The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group... Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a mo...
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cena:
134,28 zł |
Differential Geometry in Array Processing
ISBN: 9781860944222 / Angielski / Twarda / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized. Differential geometry is mainly confined to the investigation of the geometric properties of manifolds in three-dimensional Euclidean space R3 and in real spaces of higher dimension.Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array...
In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical too...
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cena:
490,88 zł |
Differential Geometry in Array Processing
ISBN: 9781860944239 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized. Differential geometry is mainly confined to the investigation of the geometric properties of manifolds in three-dimensional Euclidean space R3 and in real spaces of higher dimension.Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array...
In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical too...
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cena:
299,69 zł |