Geometry and Its Applications
ISBN: 9780123694270 / Angielski / Twarda / 539 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in realworld applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, nonEuclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's... Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is... 

cena:
415,75 zł 
Analysis on Symmetric Cones
ISBN: 9780198534778 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Analysis on Symmetric Cones is the first book to provide a systematic and clear introduction to the theory of symmetric cones, a subject of growing importance in number theory and multivariate analysis. Beginning with an elementary description of the Jordan algebra approach to the geometric and algebraic foundations of the theory, the book goes on to discuss harmonic analysis and special functions associated with symmetric cones, tying these results together with the study of holomorphic functions on bounded symmetric domains of tube type. Written by algebraic geometers, the book contains a...
Analysis on Symmetric Cones is the first book to provide a systematic and clear introduction to the theory of symmetric cones, a subject of growing im...


cena:
1208,34 zł 
Ideas of Space : Euclidean, NonEuclidean, and Relativistic
ISBN: 9780198539353 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Now in a revised and expanded new edition, this volume chronologically traces the evolution of Euclidean, nonEuclidean, and relativistic theories regarding the shape of the universe. A unique, highly readable, and entertaining account, the book assumes no special mathematical knowledge. It reviews the failed classical attempts to prove the parallel postulate and provides coverage of the role of Gauss, Lobachevskii, and Bolyai in setting the foundations of modern differential geometry, which laid the groundwork for Einstein's theories of special and general relativity. This updated account...
Now in a revised and expanded new edition, this volume chronologically traces the evolution of Euclidean, nonEuclidean, and relativistic theories reg...


cena:
538,02 zł 
Fractals: A User's Guide for the Natural Sciences
ISBN: 9780198545972 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This insightful work explains Mandelbrot's fractal geometry and describes some of its most interesting applications. Fractal geometry exploits a characteristic property of the real worldselfsimilarityto find simple rules for the assembly of complex natural objects. Beginning with the foundations of measurement in Euclidean geometry, the authors progress from analogues in the geometry of random fractals to applications spanning the natural sciences, including the developmental biology of neurons and pancreatic islets, fluctuations of bird populations, patterns in vegetative ecosystems,...
This insightful work explains Mandelbrot's fractal geometry and describes some of its most interesting applications. Fractal geometry exploits a chara...


cena:
727,66 zł 
Projective Geometry : An introduction
ISBN: 9780199298860 / Angielski / Miękka / 198 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinating a projective plane, nonDesarguesian planes, conics and quadrics in PG(3, F).
Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and... This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invaria...


cena:
364,85 zł 
Inversions
ISBN: 9780226034997 / Angielski / Miękka / 77 str. Termin realizacji zamówienia: ok. 1618 dni roboczych. In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory of inversions to classical construction problems in the plane.
The author also discusses the theory of pencils of circles, and he uses the... In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mat...


cena:
101,66 zł 
The Decomposition of Figures Into Smaller Parts
ISBN: 9780226063577 / Angielski / Miękka / 84 str. Termin realizacji zamówienia: ok. 1618 dni roboczych. In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of combinatorial geometry. Boltyanskii and Gohberg's book investigates this area, which has undergone particularly rapid growth in the last thirty years. By restricting themselves to two dimensions, the authors make the book uniquely accessible to interested high school students while maintaining a high level of rigor. They discuss a variety of problems on figures of constant width, convex figures, coverings, and illumination. The book offers a...
In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of c...


cena:
101,66 zł 
Was Pythagoras Chinese? : An Examination of Right Triangle Theory in Ancient China
ISBN: 9780271012384 / Angielski / Miękka / 108 str. Termin realizacji zamówienia: ok. 22 dni roboczych. The title of this monograph, while intended to intrigue and attract the otherwise unresponsive reader, is not whimsically conceived. Of course, the historical figure of mathematical fame known as Pythagoras, born on the island of Samos in the 6th century B.C., was Greek, not Chinese. But there is another "Pythagoras" equally deserving fame. He is the man who first proved the proposition that "the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse." For hundreds of years this theorem has borne the name of Pythagoras of Samos, but was he really the... The title of this monograph, while intended to intrigue and attract the otherwise unresponsive reader, is not whimsically conceived. Of course, the... 

cena:
124,37 zł 
Research Problems in Discrete Geometry
ISBN: 9780387238159 / Angielski / Twarda / 499 str. Termin realizacji zamówienia: ok. 30 dni roboczych. Discrete Geometry is the kind of area in which problems can be quickly expressed and understood by a wide audience, as usually only elementary geometry is involved. This longawaited book is based on William O.J. Moser's problem collection that has been circulating in the community for many years. The authors state a much extended variety of problems. For each problem they provide the historical background and give comprehensive references. The book will be of great value to any graduate student and researcher in discrete geometry.Bernard Chazelle (Princeton University): This will be a...
Discrete Geometry is the kind of area in which problems can be quickly expressed and understood by a wide audience, as usually only elementary geometr...


cena:
386,14 zł 
The Foundations of Geometry and the NonEuclidean Plane
ISBN: 9780387906942 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 30 dni roboczych. This book is a text for junior, senior, or firstyear graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for inservice teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 20) very quickly and begin earnest study with the theory of parallels and isometries...
This book is a text for junior, senior, or firstyear graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. Th...


cena:
291,24 zł 
Topology
ISBN: 9780387908922 / Angielski / Twarda / 193 str. Termin realizacji zamówienia: ok. 30 dni roboczych. Contents: Introduction.  Fundamental Concepts.  Topological Vector Spaces. The Quotient Topology.  Completion of Metric Spaces.  Homotopy.  The Two Countability Axioms.  CWComplexes.  Construction of Continuous Functions on Topological Spaces.  Covering Spaces.  The Theorem of Tychonoff.  Set Theory (by T. Brcker).  References.  Table of Symbols. Index.
Contents: Introduction.  Fundamental Concepts.  Topological Vector Spaces. The Quotient Topology.  Completion of Metric Spaces.  Homotopy.  The ...


cena:
244,07 zł 
Fibre Bundles
ISBN: 9780387940878 / Angielski / Twarda / 356 str. Termin realizacji zamówienia: ok. 30 dni roboczych. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. The new edition of this text includes two additional chapters, one on the gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical educa... 

cena:
305,45 zł 
Homology Theory: An Introduction to Algebraic Topology
ISBN: 9780387941264 / Angielski / Twarda / 245 str. Termin realizacji zamówienia: ok. 30 dni roboczych. The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda...
The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generati...


cena:
362,46 zł 
Combinatorial Convexity and Algebraic Geometry
ISBN: 9780387947556 / Angielski / Twarda / 374 str. Termin realizacji zamówienia: ok. 30 dni roboczych. The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades. This relation is known as the theory of toric varieties or sometimes as torus embeddings. Chapters IIV provide a selfcontained introduction to the theory of convex poly topes and polyhedral sets and can be used independently of any applications to algebraic geometry. Chapter V forms a link between the first and second part of the book. Though its material belongs to combinatorial...
The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebr...


cena:
362,46 zł 
Foundations of Geometry and Induction
ISBN: 9780415225458 / Angielski / Twarda / 292 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.


cena:
1063,09 zł 
Integrable Hamiltonian Systems : Geometry, Topology, Classification
ISBN: 9780415298056 / Angielski / Twarda / 752 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants.
The authors, both of whom have contributed significantly to the field, develop the classification theory for integrable systems with two degrees of freedom. This theory allows one to distinguish such systems up to two natural equivalence relations: the equivalence... Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of...


cena:
759,65 zł 
Handbook of Knot Theory
ISBN: 9780444514523 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry.
* Survey of mathematical knot theory This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3dimensional space: imag...


cena:
698,96 zł 
Handbook of Differential Geometry
ISBN: 9780444520524 / Angielski / Twarda / 360 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).
All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry,... In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field o...


cena:
1073,21 zł 
Theory of Convex Structures
ISBN: 9780444815057 / Angielski / Twarda / 539 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. Presented in this monograph is the current stateoftheart in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of orderconvex sets (Birkhoff) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the midSeventies, resulting in the present volume, in which graphs appear...
Presented in this monograph is the current stateoftheart in the theory of convex structures. The notion of convexity covered here is considerably b...


cena:
253,87 zł 
Handbook of Geometric Topology
ISBN: 9780444824325 / Angielski / Twarda / 1133 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an uptodate overview of this flourishing branch of mathematics.
Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects suc...


cena:
1138,95 zł 