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Math Proofs Demystified
ISBN: 9780071445764 / Angielski / Miękka / 290 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard "Demystified" level, questions...
Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition,...
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cena:
110,63 zł |
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Geometry and Its Applications
ISBN: 9780123694270 / Angielski / Twarda / 539 str. Termin realizacji zamówienia: ok. 5-8 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 real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean 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:
467,70 zł |
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Analysis on Symmetric Cones
ISBN: 9780198534778 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 5-8 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...
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cena:
1593,96 zł |
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Fractals: A User's Guide for the Natural Sciences
ISBN: 9780198545972 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 5-8 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 world--self-similarity--to 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...
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cena:
1135,56 zł |
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Projective Geometry : An introduction
ISBN: 9780199298860 / Angielski / Miękka / 216 str. Termin realizacji zamówienia: ok. 5-8 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, non-Desarguesian 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...
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cena:
453,66 zł |
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Inversions
ISBN: 9780226034997 / Angielski / Miękka / 77 str. Termin realizacji zamówienia: ok. 5-8 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...
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cena:
118,85 zł |
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The Decomposition of Figures Into Smaller Parts
ISBN: 9780226063577 / Angielski / Miękka / 80 str. Termin realizacji zamówienia: ok. 5-8 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...
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cena:
118,85 zł |
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Was Pythagoras Chinese? : An Examination of Right Triangle Theory in Ancient China
ISBN: 9780271012384 / Angielski / Miękka / 108 str. Termin realizacji zamówienia: ok. 5-8 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:
141,50 zł |
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Parallel Coordinates : Visual Multidimensional Geometry and Its Applications
ISBN: 9780387215075 / Angielski / Twarda / 554 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The breakthrough idea of parallel coordinates has enchanted many people with its cleverness and power. Al Inselberg, the source of that cleverness and power, ?nally shares the depth and breadth of his invention in this historically important book. I've been waiting impatiently for this exposition since I was captivated by Inselberg'slectureattheUniversityofMarylandin1979.Hehadalreadyunderstood the potential parallel coordinates has for generating insights into high-dimensional analysis and information visualization. In the following decades he polished the arguments, built effective software,...
The breakthrough idea of parallel coordinates has enchanted many people with its cleverness and power. Al Inselberg, the source of that cleverness and...
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cena:
379,89 zł |
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Research Problems in Discrete Geometry
ISBN: 9780387238159 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 5-8 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 long-awaited 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...
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cena:
211,03 zł |
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Applications of Centre Manifold Theory
ISBN: 9780387905778 / Angielski / Miękka / 142 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation...
These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown Univ...
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cena:
548,75 zł |
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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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cena:
253,08 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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cena:
232,14 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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265,74 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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cena:
358,79 zł |
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Combinatorial Convexity and Algebraic Geometry
ISBN: 9780387947556 / Angielski / Twarda / 374 str. Termin realizacji zamówienia: ok. 5-8 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 I-IV provide a self-contained 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...
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cena:
337,68 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 on Perspective
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:
422,11 zł |
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Foundations of Geometry and Induction
ISBN: 9780415225458 / Angielski / Twarda / 292 str. Termin realizacji zamówienia: ok. 5-8 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.
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cena:
1236,61 zł |
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Integrable Hamiltonian Systems : Geometry, Topology, Classification
ISBN: 9780415298056 / Angielski / Twarda / 746 str. Termin realizacji zamówienia: ok. 5-8 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...
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cena:
967,77 zł |
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Handbook of Knot Theory
ISBN: 9780444514523 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 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 3-dimensional 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
* Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate... This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imag...
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cena:
741,96 zł |