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The Beauty of Fractals: Images of Complex Dynamical Systems
ISBN: 9783540158516 / Angielski / Twarda / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1953 I realized that the straight line leads to the downfall of mankind. But the straight line has become an absolute tyranny. The straight line is something cowardly drawn with a rule, without thought or feeling; it is the line which does not exist in nature. And that line is the rotten foundation of our doomed civilization. Even if there are places where it is recognized that this line is rapidly leading to perdition, its course continues to be plot ted . . . Any design undertaken with the straight line will be stillborn. Today we are witnessing the triumph of rationalist knowhow and...
In 1953 I realized that the straight line leads to the downfall of mankind. But the straight line has become an absolute tyranny. The straight line is...
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cena:
401,58 |
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Geometry Revisited
ISBN: 9780883856192 / Angielski / Miękka / 193 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal...
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cena:
132,18 |
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Complex Numbers and Geometry
ISBN: 9780883855102 / Angielski / Miękka / 201 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained - no background in complex numbers is assumed - and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a...
The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natu...
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cena:
195,91 |
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Underwood Dudley is well known for his collection of books on mathematical cranks. Here he offers yet another - angle trisectors. It is impossible to trisect angles with straightedge and compass alone, but many people try and think they have succeeded. This book is about angle trisections and the people who attempt them. According to Dudley: 'Hardly any mathematical training is necessary to read this book. There is a little trigonometry here and there, but it may be safely skipped. There are hardly any equations. There are no exercises and there will be no final examination. The worst victim...
Underwood Dudley is well known for his collection of books on mathematical cranks. Here he offers yet another - angle trisectors. It is impossible to ...
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cena:
107,70 |
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Differential Forms in Algebraic Topology
ISBN: 9780387906133 / Angielski / Twarda / 338 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord- ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some...
The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Acco...
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cena:
220,69 |
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Metric Spaces of Non-Positive Curvature
ISBN: 9783540643241 / Angielski / Twarda / 676 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept...
The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D....
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cena:
562,23 |
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Fourier Series
ISBN: 9780883857403 / Angielski / Twarda / 130 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications.
This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications.
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cena:
220,40 |
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Higher Operads, Higher Categories
ISBN: 9780521532150 / Angielski / Miękka / 448 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Category theory has experienced a resurgence in popularity recently because of new links with topology and mathematical physics. This book provides a clearly written account of higher order category theory and presents operads and multicategories as a natural language for its study. Tom Leinster has included necessary background material and applications as well as appendices containing some of the more technical proofs that might have disrupted the flow of the text.
Category theory has experienced a resurgence in popularity recently because of new links with topology and mathematical physics. This book provides a ...
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cena:
456,37 |
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Resources for the Study of Real Analysis
ISBN: 9780883857373 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A collection of materials gathered by the author while teaching real analysis over a period of years.
A collection of materials gathered by the author while teaching real analysis over a period of years.
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cena:
284,07 |
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Surgery on Contact 3-Manifolds and Stein Surfaces
ISBN: 9783540229445 / Angielski / Twarda / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The groundbreaking results of the near past - Donaldson's result on Lef schetz pencils on symplectic manifolds and Giroux's correspondence be tween contact structures and open book decompositions - brought a top ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stein category, and by Giroux's theory of convex surfaces, enabling us to perform surgeries on contact 3-manifolds. The main objective of these notes is to provide a...
The groundbreaking results of the near past - Donaldson's result on Lef schetz pencils on symplectic manifolds and Giroux's correspondence be tween co...
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cena:
522,07 |
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The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching
ISBN: 9780521824514 / Angielski / Twarda / 560 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Celebrating a century of geometry and geometry teaching, this volume includes popular articles on Pythagoras, the golden ratio and recreational geometry. Thirty "Desert Island Theorems" from distinguished mathematicians and educators disclose surprising results. (Contributors include a Nobel Laureate and a Pulitzer Prize winner.) Co-published with The Mathematical Association of America.
Celebrating a century of geometry and geometry teaching, this volume includes popular articles on Pythagoras, the golden ratio and recreational geomet...
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cena:
586,30 |
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ALGEBRA AND TILING
ISBN: 9780883850282 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Often questions about tiling space or a polygon lead to questions concerning algebra. For instance, tiling by cubes raises questions about finite abelian groups. Tiling by triangles of equal areas soon involves Sperner's lemma from topology and valuations from algebra. The first six chapters of Algebra and Tiling form a self-contained treatment of these topics, beginning with Minkowski's conjecture about lattice tiling of Euclidean space by unit cubes, and concluding with Laczkowicz's recent work on tiling by similar triangles. The concluding chapter presents a simplified version of Redei's...
Often questions about tiling space or a polygon lead to questions concerning algebra. For instance, tiling by cubes raises questions about finite abel...
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cena:
200,80 |
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Combinatorics, Geometry and Probability: A Tribute to Paul Erdös
ISBN: 9780521584722 / Angielski / Twarda / 584 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The areas represented in this collection range from set theory and geometry through graph theory, group theory and combinatorial probability, to randomized algorithms and statistical physics. Erdos himself was able to give a survey of recent progress made on his favorite problems. Consequently this volume, comprised of in-depth studies at the frontier of research, provides a valuable panorama across the breadth of combinatorics as it is today.
The areas represented in this collection range from set theory and geometry through graph theory, group theory and combinatorial probability, to rando...
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cena:
771,90 |
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Braids and Coverings: Selected Topics
ISBN: 9780521384797 / Angielski / Twarda / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on a graduate course taught by the author at the University of Maryland. The lecture notes have been revised and augmented by examples. The first two chapters develop the elementary theory of Artin Braid groups, both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin Braid group on n strings.
This book is based on a graduate course taught by the author at the University of Maryland. The lecture notes have been revised and augmented by examp...
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cena:
516,69 |
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Projective and Cayley-Klein Geometries
ISBN: 9783540356448 / Angielski / Twarda / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebraic geometry and has many applications to differential geometry. The book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of the first chapter. The second chapter covers the most important classical geometries which are systematically developed following the principle founded by Cayley and Klein, which rely on distinguishing an absolute and then studying the... Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebra... |
cena:
401,58 |
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The Symmetries of Things
ISBN: 9781568812205 / Angielski / Twarda / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Start with a single shape. Repeat it in some way--translation, reflection over a line, rotation around a point--and you have created symmetry.
Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. ... Start with a single shape. Repeat it in some way--translation, reflection over a line, rotation around a point--and you have created symmetry.
Symm... |
cena:
426,05 |
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Crystal Models on the Type of an Ordinary Plait
ISBN: 9781899618682 / Angielski / Miękka / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Plaiting and braiding have a long history. They encompass decorating hair, weaving and basket-making as well as making knots. So it is surprising that John Gorham seems to have been the first person to have looked at the subject systematically. The main part of this book is a reprint of his 1888 work on plaiting crystal models has been an inspiration to many others working in this field, notably Robert Pargeter and Jean Pedersen. Along with Robert Pargeter and James Brunton's articles in the Mathematical Gazette Gorham's work is here reproduced. The ideas were extensively covered in...
Plaiting and braiding have a long history. They encompass decorating hair, weaving and basket-making as well as making knots. So it is surprising that...
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cena:
120,34 |
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CURVE AND SURFACE DESIGN
ISBN: 9780898712810 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.
This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practic...
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cena:
489,77 |
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Proximity Approach to Problems in Topology and Analysis
ISBN: 9783486589177 / Angielski / Twarda / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Dieses Buch konzentriert das aktuelle Gesamtwissen zum Proximity-Konzept und stellt es dem Leser in gut strukturierter Form dar. Hauptaugenmerk liegt auf den vielfaltigen Moglichkeiten, die sich aus dem Proximity-Konzept der raumlichen Nahe und seiner Verallgemeinerung im Nearness-Konzept ergeben.
Dieses Buch konzentriert das aktuelle Gesamtwissen zum Proximity-Konzept und stellt es dem Leser in gut strukturierter Form dar. Hauptaugenmerk liegt ...
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cena:
402,53 |
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An Introduction to Involutive Structures
ISBN: 9780521878579 / Angielski / Twarda / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some...
Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five...
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cena:
628,06 |
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