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Eigenvalues in Riemannian Geometry
ISBN: 9780121706401 / Angielski / Twarda / 362 str. The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.
The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic tech...


cena:
266,12 zł 
A History of NonEuclidean Geometry: Evolution of the Concept of a Geometric Space
ISBN: 9780387964584 / Angielski / Twarda / 471 str. The Russian edition of this book appeared in 1976 on the hundredandfiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of nonEuclidean geometry. The importance of the discovery of nonEuclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last...
The Russian edition of this book appeared in 1976 on the hundredandfiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI d...


cena:
650,12 zł 
Automorphisms of Surfaces After Nielsen and Thurston
ISBN: 9780521349857 / Angielski / Miękka / 112 str. This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition of the work of Neilsen and Thurston on the automorphisms of surfaces. The reader requires only an understanding of basic topology and linear algebra, while the early chapters on hyperbolic geometry and geometric structures on surfaces can profitably be read by anyone with a knowledge of standard Euclidean geometry...
This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as a...


cena:
212,72 zł 
Integration of OneForms on PAdic Analytic Spaces. (Am162)
ISBN: 9780691128627 / Angielski / Miękka / 168 str. Among the many differences between classical and padic objects, those related to differential equations occupy a special place. For example, a closed padic analytic oneform defined on a simplyconnected domain does not necessarily have a primitive in the class of analytic functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic oneforms on certain smooth padic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth padic analytic spaces of higher dimension, but the spaces... Among the many differences between classical and padic objects, those related to differential equations occupy a special place. For example, a clo... 

cena:
247,93 zł 
The NonEuclidean Revolution: With an Introduction by H.S.M Coxeter
ISBN: 9780817642372 / Angielski / Miękka / 270 str. Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The NonEuclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and... Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The NonEuclidean Revolution. Fir... 

cena:
328,19 zł 
Hyperbolic Geometry
ISBN: 9781852339340 / Angielski / Miękka / 276 str. Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity Includes full solutions for all exercises Successful first edition sold over 800 copies in North America Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicit... 

cena:
167,22 zł 
Lectures on Hyperbolic Geometry
ISBN: 9783540555346 / Angielski / Miękka / 330 str. In recent years hyperbolic geometry has been the object and the preparation for extensive study that has produced important and often amazing results and also opened up new questions. The book concerns the geometry of manifolds and in particular hyperbolic manifolds; its aim is to provide an exposition of some fundamental results, and to be as far as possible selfcontained, complete, detailed and unified. Since it starts from the basics and it reaches recent developments of the theory, the book is mainly addressed to graduatelevel students approaching research, but it will also be a helpful...
In recent years hyperbolic geometry has been the object and the preparation for extensive study that has produced important and often amazing results ...


cena:
236,21 zł 
NonEuclidean Geometry
ISBN: 9780486462646 / Angielski / Miękka / 208 str. This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of nonEuclidean geometry.
Starting with fundamental assumptions, the author examines the theorems of Hjelmslev, mapping a plane into a circle, the angle of parallelism and area of a polygon, regular polygons, straight lines and planes in space, and the horosphere. Further development of the theory covers hyperbolic functions, the geometry of... This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest pr...


cena:
58,00 zł 
Projective Geometry
ISBN: 9780863153938 / Angielski / Miękka / 347 str. Presents an understanding of the intriguing qualities of projective geometry. Illustrated with over 200 instructive diagrams and exercises, this book reveals the secrets of space to those who work through them. It is suitable for SteinerWaldorf teachers.
Presents an understanding of the intriguing qualities of projective geometry. Illustrated with over 200 instructive diagrams and exercises, this book ...


cena:
93,56 zł 
Euclidean and NonEuclidean Geometries: Development and History
ISBN: 9780716799481 / Angielski / Twarda / 637 str. This is the definitive presentation of the history, development and philosophical significance of nonEuclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic... This is the definitive presentation of the history, development and philosophical significance of nonEuclidean geometry as well as of the rigorous... 

cena:
902,24 zł 
The NonEuclidean Revolution
ISBN: 9780817647827 / Angielski / Miękka / 270 str. Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The NonEuclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Polya Prize, a distinguished award from the Mathematical Association of America.
Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The NonEuclidean Revolution. Fir... 

cena:
236,21 zł 
Generalized CauchyRiemann Systems with a Singular Point
ISBN: 9780582292802 / Angielski / Twarda / 232 str. A theory of generalized CauchyRiemann systems with polar singularities of order not less than one is presented and its application to study of infinitesimal bending of surfaces having positive curvature and an isolated flat point is given. The book contains results of investigations obtained by the author and his collaborators.
A theory of generalized CauchyRiemann systems with polar singularities of order not less than one is presented and its application to study of infini...


cena:
641,90 zł 
Hyperbolic Geometry
ISBN: 9780521435284 / Angielski / Miękka / 316 str. Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics
Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hy...


cena:
311,67 zł 
Living with Geometry: Coming to an Understanding with God, Life and the Universe...
ISBN: 9781432728182 / Angielski / Miękka / 330 str. The secrets of life and the Universe revealed... Living with Geometry is about how civilization has been using and abusing Geometry and other related scientific subject areas for our finite needs in the physical, material plane for ages gone by, and how we must now turn to the natural world, learn from it and employ the ancient and trusted sciences of a wondrous yesteryear to carry on in future, in order for the human spirit to be freed from its material confines, and how the physical environment can be saved along with us. It is about what went missing, what went wrong, and... The secrets of life and the Universe revealed... Living with Geometry is about how civilization has been using and abusing Geometry and othe... 

cena:
103,74 zł 
SOURCES OF HYPERBOLIC GEOMETRY
ISBN: 9780821809228 / Angielski / Miękka / 153 str. This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics. It sets out to provide recognition of Beltrami comparable to that given the pioneering works of Bolyai and Labachevsky, not only because Beltrami rescued hyperbolic geometry from oblivion by proving to be logically consistent, but because he gave it a concrete meaning (a model) that made hyperbolic geometry part of ordinary mathematics. The models subsequently discovered by Klein and Poincare brought hyperbolic geometry even...
This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of...


cena:
278,07 zł 
Introduction to Hyperbolic Geometry
ISBN: 9780387943398 / Angielski / Miękka / 289 str. This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis without proof. The book goes well beyond the standard course in later chapters, and there is enough material for an honors course, or for supplementary reading. Indeed, parts of the book have been used for both kinds of courses. Even some of what is in...
This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a s...


cena:
328,19 zł 
GEOMETRY AND THE IMAGINATION
ISBN: 9780821819982 / Angielski / Twarda / 357 str. Suitable for beginners and experienced mathematicians, this book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. It offers a discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way.
Suitable for beginners and experienced mathematicians, this book begins with examples of the simplest curves and surfaces, including thread constructi...


cena:
257,28 zł 
Outer Billiards on Kites (Am171)
ISBN: 9780691142494 / Angielski / Miękka / 306 str. Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B. H. Neumann introduced this system in the 1950s, and J. Moser popularized it as a toy model for celestial mechanics. All along, the socalled MoserNeumann question has been one of the central problems in the field. This question asks whether or not one can have an outer billiards system with an unbounded orbit. The MoserNeumann question is an idealized version of the question of whether, because of small disturbances in its orbit, the Earth can break out of its orbit and fly away from the Sun.... Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B. H. Neumann introduced this system in the 1950s, and... 

cena:
266,64 zł 
A Gyrovector Space Approach to Hyperbolic Geometry
ISBN: 9781598298222 / Angielski / Miękka / 196 str. The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar....
The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themse...


cena:
235,76 zł 
Hyperbolic Manifolds and Discrete Groups
ISBN: 9780817649128 / Angielski / Miękka / 470 str. The main goal of the book is to present a proof of the following. Thurston's Hyperbolization Theorem ("The Big Monster"). Suppose that M is a compact atoroidal Haken 3manifold that has zero Euler characteristic. Then the interior of M admits a complete hyperbolic metric of finite volume. This theorem establishes a strong link between the geometry and topology 3 of 3manifolds and the algebra of discrete subgroups of Isom(JH ). It completely changed the landscape of 3dimensional topology and theory of Kleinian groups. Further, it allowed one to prove things that were beyond the reach of the...
The main goal of the book is to present a proof of the following. Thurston's Hyperbolization Theorem ("The Big Monster"). Suppose that M is a compact ...


cena:
374,18 zł 