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The Foundations of Geometry and the Non-Euclidean Plane
ISBN: 9780387906942 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a text for junior, senior, or first-year 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 in-service 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 first-year graduate courses traditionally titled Foundations of Geometry and/or Non- Euclidean Geometry. Th...
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234,35 zł |
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Fundamentals of Diophantine Geometry
ISBN: 9780387908373 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is...
Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of...
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429,96 zł |
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Basic Topology
ISBN: 9780387908397 / Angielski / Twarda / 251 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Stude...
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191,35 zł |
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Topology
ISBN: 9780387908922 / Angielski / Twarda / 193 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Br-cker). - References. - Table of Symbols. -Index.
Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The ...
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214,97 zł |
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Problems in Geometry
ISBN: 9780387909714 / Angielski / Twarda / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The textbook Geometry, published in French by CEDICjFernand Nathan and in English by Springer-Verlag (scheduled for 1985) was very favorably re ceived. Nevertheless, many readers found the text too concise and the exercises at the end of each chapter too difficult, and regretted the absence of any hints for the solution of the exercises. This book is intended to respond, at least in part, to these needs. The length of the textbook (which will be referred to as B] throughout this book) and the volume of the material covered in it preclude any thought of publishing an expanded version, but we...
The textbook Geometry, published in French by CEDICjFernand Nathan and in English by Springer-Verlag (scheduled for 1985) was very favorably re ceived...
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cena:
273,60 zł |
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Fibre Bundles
ISBN: 9780387940878 / Angielski / Twarda / 356 str. Termin realizacji zamówienia: ok. 5-8 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... |
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246,08 zł |
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Homology Theory: An Introduction to Algebraic Topology
ISBN: 9780387941264 / Angielski / Twarda / 245 str. Termin realizacji zamówienia: ok. 5-8 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...
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332,24 zł |
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Modern Geometry with Applications
ISBN: 9780387942223 / Angielski / Miękka / 204 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to the theory and applications of "modern geometry" roughly speaking, geometry that was developed after Euclid. It covers three major areas of non-Euclidean geometry and their applica- tions: spherical geometry (used in navigation and astronomy), projective geometry (used in art), and spacetime geometry (used in the Special The- ory of Relativity). In addition it treats some of the more useful topics from Euclidean geometry, focusing on the use of Euclidean motions, and includes a chapter on conics and the orbits of planets. My aim in writing this book was to...
This book is an introduction to the theory and applications of "modern geometry" roughly speaking, geometry that was developed after Euclid. It covers...
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cena:
234,51 zł |
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Strange Phenomena in Convex and Discrete Geometry
ISBN: 9780387947341 / Angielski / Miękka / 158 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.
Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - suc...
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cena:
195,42 zł |
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Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra Via Geometric Constructibility
ISBN: 9780387948485 / Angielski / Twarda / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an attempt to communicate to undergraduate math- ematics majors my enjoyment of abstract algebra. It grew out of a course offered at California State University, Northridge, in our teacher preparation program, titled Foundations of Algebra, that was intended to provide an advanced perspective on high-school mathe- matics. When I first prepared to teach this course, I needed to select a set of topics to cover. The material that I selected would clearly have to have some bearing on school-level mathematics, but at the same time would have to be substantial enough for a...
This book is an attempt to communicate to undergraduate math- ematics majors my enjoyment of abstract algebra. It grew out of a course offered at Cali...
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cena:
234,51 zł |
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Smooth Manifolds and Observables
ISBN: 9780387955438 / Angielski / Twarda / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory. This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an al... |
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195,42 zł |
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Numerical Geometry of Images: Theory, Algorithms, and Applications
ISBN: 9780387955629 / Angielski / Twarda / 209 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry,...
Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape f...
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cena:
195,42 zł |
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Geometry: A High School Course
ISBN: 9780387966540 / Angielski / Twarda / 394 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. The book also teaches the student fundamental concepts and the difference between important reults and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course. There are many examples and exercises.
This text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of geometry...
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cena:
234,51 zł |
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Geometry: A Metric Approach with Models
ISBN: 9780387974125 / Angielski / Twarda / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text....
Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a ri...
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312,69 zł |
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Brook Taylor's Work on Linear Perspective: A Study of Taylor's Role in the History of Perspective Geometry. Including Facsimiles of Taylor's Two Books
ISBN: 9780387974866 / Angielski / Twarda / 259 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to make accessible the two important but rare works of Brook Taylor and to describe his role in the history of linear perspective. Taylor's works, Linear Perspective and New Principles on Linear Perspective, are among the most important sources in the history of the theory of perspective. This text focuses on two aspects of this history. The first is the development, starting in the beginning of the 17th century, of a mathematical theory of perspective where gifted mathematicians used their creativity to solve basic problems of perspective and simultaneously were...
The aim of this book is to make accessible the two important but rare works of Brook Taylor and to describe his role in the history of linear perspect...
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cena:
390,87 zł |
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Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics
ISBN: 9780387975061 / Angielski / Twarda / 199 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.
Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of b...
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cena:
508,15 zł |
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Geometry for the Classroom: Exercises and Solutions
ISBN: 9780387975658 / Angielski / Miękka / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Suitable for college courses for prospective or in-service secondary school teachers of geometry, this workbook contains solutions and commentary to the numerous exercises in the accompanying workbook.
Suitable for college courses for prospective or in-service secondary school teachers of geometry, this workbook contains solutions and commentary to t...
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175,88 zł |
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Geometry: Plane and Fancy
ISBN: 9780387983066 / Angielski / Twarda / 162 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to...
GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at...
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cena:
195,42 zł |
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An Introduction to Riemann-Finsler Geometry
ISBN: 9780387989488 / Angielski / Twarda / 435 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe?
It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a... In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riem...
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cena:
332,24 zł |
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The Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry
ISBN: 9780391041912 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry is the third in Lo Bello's series on the Elements. Lo Bello provides the first modern translation of a key Latin text of the Elements in the Middle Ages, the commentary of the Dominican scholastic philosopher Albertus Magnus (d. 1280), the teacher of Thomas Aquinas. The volume includes a translation, notes on the translation, and a critical examination of the mathematical content of the three commentaries on Euclid's Elements of Geometry thus far treated in this series. The Three Volumes are also available as...
The Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry is the third in Lo Bello's series on the Elements. Lo Bello provides the ...
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cena:
624,77 zł |
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