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Harmonic Morphisms Between Riemannian Manifolds
ISBN: 9780198503620 / Angielski / Twarda / 536 str. This is the first account in book form of the theory of harmonic morphisms between Riemannian manifolds. Harmonic morphisms are maps which preserve Laplace's equation. They can be characterized as harmonic maps which satisfy an additional first order condition. Examples include harmonic functions, conformal mappings in the plane, and holomorphic functions with values in a Riemann surface. There are connections with many concepts in differential geometry, for example, Killing fields, geodesics, foliations, Clifford systems, twistor spaces, Hermitian structures, isoparametric mappings, and...
This is the first account in book form of the theory of harmonic morphisms between Riemannian manifolds. Harmonic morphisms are maps which preserve La...


cena:
1155,84 zł 
Some Novel Types of Fractal Geometry
ISBN: 9780198508069 / Angielski / Twarda / 176 str. This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincare inequalities, concerning the relationship between the average behavior of a function and the average behavior of its smallscale oscillations. Remarkable results in the last few years through BourdonPajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to...
This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different ...


cena:
1155,84 zł 
Diagram Geometries
ISBN: 9780198534976 / Angielski / Twarda / 496 str. Diagram geometry, which introduces a range of techniques that enable an interaction between group theory and geometry, allows the mathematician to get information on a multidimensional geometric object from some knowledge of bidimensional properties. This exceptional introduction to the subject provides a wealth of descriptions and examples, explains basic concepts, and details the language of diagram geometrics. It provides an expert development of diagram geometry theory as well as more advanced concepts and techniques. Practical and rigorous, Diagram Geometries is the ideal introduction...
Diagram geometry, which introduces a range of techniques that enable an interaction between group theory and geometry, allows the mathematician to get...


cena:
1385,75 zł 
Complex Hyperbolic Geometry
ISBN: 9780198537939 / Angielski / Twarda / 336 str. Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary in complex hyperbolic spaces, known as spherical CR or Heisenberg geometry, reflects this richness. However, while there are a number of books on analysis in such spaces, this book is the first to focus on the geometry, both for complex hyperbolic space and its boundary. Motivated by applications of the theory to geometric structures, moduli spaces and discrete groups, it is designed to provide an...
Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group...


cena:
1328,27 zł 
Jan de Witt's Elementa Curvarum Linearum, Liber Primus: Text, Translation, Introduction, and Commentary by Albert W. Grootendorst
ISBN: 9780387987484 / Angielski / Twarda / 298 str. The present book is a translation into English of Elernenta CU'f'Varurn LinearurnLiber Prirnus, written in Latin, by the Dutch statesman and mathematician Jan de Witt (16251672). Together with its sequel, Ele rnenta CU'f'Varurn LinearurnLiber Secundus, it constitutes the first text book on Analytic Geometry, based on the ideas of Descartes, as laid down in his Geornetrie of 1637. The first edition of de Witt's work appeared in 1659 and this translation is its first translation into English. For more details the reader is referred to the Introduction. Apart from this translation and this...
The present book is a translation into English of Elernenta CU'f'Varurn LinearurnLiber Prirnus, written in Latin, by the Dutch statesman and mathemat...


cena:
642,77 zł 
History of Analytic Geometry
ISBN: 9780486438320 / Angielski / Miękka / 291 str. Specifically designed as an integrated survey of the development of analytic geometry, this classic study takes a unique approach to the history of ideas. The author, a distinguished historian of mathematics, presents a detailed view of not only the concepts themselves, but also the ways in which they extended the work of each generation, from before the Alexandrian Age through the eras of the great French mathematicians Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. Appropriate as an undergraduate text, this history is accessible to any...
Specifically designed as an integrated survey of the development of analytic geometry, this classic study takes a unique approach to the history of id...


cena:
73,69 zł 
Coordinate Geometry
ISBN: 9780486442617 / Angielski / Miękka / 298 str. A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.
A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and qu...


cena:
94,22 zł 
Analytical Geometry of Three Dimensions
ISBN: 9780486453132 / Angielski / Miękka / 144 str. Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics. Mathematician, physicist, and astronomer, William H. McCrea conducted research in many areas and is best known for his work on relativity and cosmology. McCrea studied and taught at universities around the world, and this book is based on a series of his lectures.
Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spher...


cena:
49,06 zł 
Beyond Geometry: Classic Papers from Riemann to Einstein
ISBN: 9780486453507 / Angielski / Miękka / 209 str. Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This original Dover publication is the only Englishlanguage collection of these important papers, some of which are extremely hard to find.
Contents include "On the Hypotheses which Lie at the Foundations of Geometry" by Georg Friedrich Riemann; "On the Facts which Lie at the Foundations of Geometry" and "On the Origin and Significance of Geometrical Axioms" by Hermann von Helmholtz; "A Comparative Review of Recent Researches in Geometry" by Felix... Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This origin...


cena:
61,37 zł 
Analytical Conics
ISBN: 9780486457734 / Angielski / Miękka / 145 str. This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments.
The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at... This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathe...


cena:
44,95 zł 
The Geometry of Ren Descartes: With a Facsimile of the First Edition
ISBN: 9780486600680 / Angielski / Miękka / 272 str. This is an unabridged republication of the definitive English translation of one of the very greatest classics of science. Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that...
This is an unabridged republication of the definitive English translation of one of the very greatest classics of science. Originally published in 163...


cena:
53,16 zł 
Analysis and Geometry on Groups
ISBN: 9780521353823 / Angielski / Twarda / 172 str. The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups, and the methods used are analytical, but are not concerned with what is described these days as real analysis. Most of the results described in this book have a dual formulation: they have a "discrete version" related to a finitely generated discrete group and a continuous version related to a Lie group. The authors chose to center this book around Lie groups, but could easily have pushed it in several other directions as it interacts with the theory of second order...
The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups, and the methods used are ana...


cena:
679,09 zł 
Minkowski Geometry
ISBN: 9780521404723 / Angielski / Twarda / 368 str. This is a comprehensive treatment of Minkowski geometry. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of twodimensional spaces and characterizations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spacesa fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look...
This is a comprehensive treatment of Minkowski geometry. The author begins by describing the fundamental metric properties and the topological propert...


cena:
742,60 zł 
Algebraic Varieties
ISBN: 9780521426138 / Angielski / Miękka / 176 str. In this book Professor Kempf gives an introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint. By taking this view he is able to give a clean and lucid account of the subject which will be easily accessible to all newcomers to algebraic varieties, graduate students or experts from other fields alike. Anyone who goes on to study schemes will find that this book is an ideal preparatory text.
In this book Professor Kempf gives an introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint. By taking this...


cena:
341,94 zł 
The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
ISBN: 9780521463003 / Angielski / Twarda / 188 str. This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on AtiyahSinger index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the ChernGaussBonnet theorem. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions. The author develops the AtiyahSinger index theorem and its applications (without complete proofs) via the heat equation method. Rosenberg also...
This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on AtiyahSinger index theo...


cena:
806,12 zł 
The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
ISBN: 9780521468312 / Angielski / Miękka / 188 str. This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on AtiyahSinger index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the ChernGaussBonnet theorem. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions. The author develops the AtiyahSinger index theorem and its applications (without complete proofs) via the heat equation method. Rosenberg also...
This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on AtiyahSinger index theo...


cena:
317,51 zł 
Manifolds and Geometry
ISBN: 9780521562164 / Angielski / Twarda / 331 str. Brought together in this book are papers from a conference on differential geometry held in Pisa, in honour of Eugenio Calabi. The contributions are from many of the leading authorities in this field and together they cover a wide spectrum of topics that give an unsurpassed overview of research into differential geometry. All whose research interests lie in this area will find much of interest in this volume.
Brought together in this book are papers from a conference on differential geometry held in Pisa, in honour of Eugenio Calabi. The contributions are f...


cena:
610,69 zł 
Riemannian Geometry
ISBN: 9780521619547 / Angielski / Miękka / 471 str. 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...


cena:
317,51 zł 
Riemannian Geometry: A Modern Introduction
ISBN: 9780521853682 / Angielski / Twarda / 471 str. 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...


cena:
781,68 zł 
Computers, Rigidity, and Moduli: The LargeScale Fractal Geometry of Riemannian Moduli Space
ISBN: 9780691118895 / Angielski / Twarda / 192 str. This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that... This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to expla... 

cena:
315,59 zł 