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Euclidean Geometry and Transformations
ISBN: 9780486434766 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. -A good textbook.- ― Mathematical Gazette. This introduction to Euclidean geometry emphasizes both the theory and the practical application of isometries and similarities to geometric transformations. Each chapter begins with an optional commentary on the history of geometry. Contents include modern elementary geometry, isometries and similarities in the plane, vectors and complex numbers in geometry, inversion, and isometries in space. Numerous exercises appear throughout the text, many of which have corresponding answers and hints at the back of the book. Prerequisites for this...
-A good textbook.- ― Mathematical Gazette. This introduction to Euclidean geometry emphasizes both the theory and the practical applicati...
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86,51 zł |
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Elementary Mathematics from an Advanced Standpoint: Geometry
ISBN: 9780486434810 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. Concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and m...
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64,83 zł |
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The 4th Dimension Simply Explained
ISBN: 9780486438894 / Angielski / Miękka / 251 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. To remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable or is it? Understanding the world of Einstein and curved space requires a logical conception of the fourth dimension. To remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable o... |
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69,16 zł |
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Projective Geometry
ISBN: 9780486453262 / Angielski / Miękka / 129 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. It derives the projective properties of the conic and discusses representation by the general equation of the 2nd degree, concluding with a study of the relationship between Euclidean and projective geometry. 1960 edition.
Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. It derives the projective properties of the coni...
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43,14 zł |
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Proof in Geometry: With "mistakes in Geometric Proofs"
ISBN: 9780486453545 / Angielski / Miękka / 128 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This single-volume compilation of two books explores the construction of geometric proofs. In addition to offering useful criteria for determining correctness, it presents examples of faulty proofs that illustrate common errors. High-school geometry is the sole prerequisite.
Proof in Geometry, the first in this two-part compilation, discusses the construction of geometric proofs and presents criteria useful for determining whether a proof is logically correct and whether it actually constitutes proof. It features sample invalid proofs, in which the errors are explained and... This single-volume compilation of two books explores the construction of geometric proofs. In addition to offering useful criteria for determining cor...
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43,14 zł |
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College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
ISBN: 9780486458052 / Angielski / Miękka / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952. World-renowned writer and researcher Nathan Altshiller-Court (1881-1968) was a professor of mathematics at the University of Oklahoma for more than thirty years. His revised introduction to modern geometry offers today's students the benefits of his many years of teaching experience.
The first part of the text stresses construction problems, proceeding to surveys of similitude and homothecy, properties of the... Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and ...
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77,84 zł |
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The Thirteen Books of the Elements, Vol. 3
ISBN: 9780486600901 / Angielski / Miękka / 560 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the definitive edition of one of the very greatest classics of all time--the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath encompasses almost 2500 years of mathematical and historical study upon Euclid.
This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus which analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical anayses of Euclid's ideas; classical,... This is the definitive edition of one of the very greatest classics of all time--the full Euclid, not an abridgement. Utilizing the text established b...
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130,10 zł |
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The Theory of Spinors
ISBN: 9780486640709 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The French mathematician Elie Cartan (1869-1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to... The French mathematician Elie Cartan (1869-1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mat... |
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64,83 zł |
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Geometry: A Comprehensive Course
ISBN: 9780486658124 / Angielski / Miękka / 464 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "A lucid and masterly survey." -- Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and...
"A lucid and masterly survey." -- Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in bo...
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cena:
151,56 zł |
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Introduction to Topology: Third Edition
ISBN: 9780486663524 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.The author begins with an informal discussion of set...
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduc...
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73,72 zł |
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Topological Topics: Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of His Sixtieth Birthday
ISBN: 9780521275811 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book...
Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of t...
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cena:
188,07 zł |
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Euclidean and Non-Euclidean Geometry: An Analytic Approach
ISBN: 9780521276351 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link...
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to...
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242,12 zł |
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Polytopes and Symmetry
ISBN: 9780521277396 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Convex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a fresh approach to the classification of these objects according to their symmetry properties, based on ideas of topology and transformation group theory. Although there is considerable agreement with traditional treatments, a number of new concepts emerge that present classical ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the familiar set of five Platonic...
Convex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a...
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cena:
188,07 zł |
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Introduction to Differential Topology
ISBN: 9780521284707 / Angielski / Miękka / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.
This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain ...
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cena:
386,98 zł |
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Cellular Structures in Topology
ISBN: 9780521327848 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great...
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for...
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cena:
399,42 zł |
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Algebraic Homotopy
ISBN: 9780521333764 / Angielski / Twarda / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a general outlook on homotopy theory.
This book gives a general outlook on homotopy theory.
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cena:
699,17 zł |
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The Geometry of Fractal Sets
ISBN: 9780521337052 / Angielski / Miękka / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse...
This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions...
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cena:
251,95 zł |
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Groups: A Path to Geometry
ISBN: 9780521347938 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Mobius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book...
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questio...
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cena:
227,38 zł |
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Cohomological Methods in Transformation Groups
ISBN: 9780521350228 / Angielski / Twarda / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the large and thriving field of compact transformation groups an important role has long been played by cohomological methods. This book aims to give a contemporary account of such methods, in particular the applications of ordinary cohomology theory and rational homotopy theory with principal emphasis on actions of tori and elementary abelian p-groups on finite-dimensional spaces. For example, spectral sequences are not used in Chapter 1, where the approach is by means of cochain complexes; and much of the basic theory of cochain complexes needed for this chapter is outlined in an...
In the large and thriving field of compact transformation groups an important role has long been played by cohomological methods. This book aims to gi...
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cena:
699,17 zł |
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Advances in Homotopy Theory: Papers in Honour of I M James, Cortona 1988
ISBN: 9780521379076 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a collection of the recorded lectures given at a conference to celebrate the 60th birthday of Professor Ioan James, who has made significant contributions to homotopy theory, highlighting problems and initiating new methods. The present volume contains papers from internationally distinguished research workers that reflect recent exciting breakthroughs in this field. It will be important for all homotopy theorists as both a statement of current research and as a signpost for new directions. This should prove interesting to research workers in algebraic topology.
This is a collection of the recorded lectures given at a conference to celebrate the 60th birthday of Professor Ioan James, who has made significant c...
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cena:
192,98 zł |
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