An Elementary Treatise on Spherical Trigonometry [microform]
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Note-book on Plane Geometrical Drawing
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Plane Trigonometry for the Use of Colleges and Schools [microform]
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Combinatorial Topology; 1
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A Treatise on Conic Sections
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Curves for the Mathematically Curious
Ten amazing curves personally selected by one of today's most important math writers Curves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of one curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre B矇zier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves--and now you can share in this adventure. Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling.
Kuranishi Structures and Virtual Fundamental Chains
The package of Gromov's pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics. The Kuranishi structure was introduced by two of the authors of the present volume in the mid-1990s to apply this machinery on general symplectic manifolds without assuming any specific restrictions. It was further amplified by this book's authors in their monograph Lagrangian Intersection Floer Theory and in many other publications of theirs and others. Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of Kuranishi structures.Part I discusses the theory on a single space equipped with Kuranishi structure, called a K-space, and its relevant basic package. First, the definition of a K-space and maps to the standard manifold are provided. Definitions are given for fiber products, differential forms, partitions of unity, and the notion of CF-perturbations on the K-space. Then, using CF-perturbations, the authors define the integration on K-space and the push-forward of differential forms, and generalize Stokes' formula and Fubini's theorem in this framework. Also, "virtual fundamental class" is defined, and its cobordism invariance is proved.Part II discusses the (compatible) system of K-spaces and the process of going from "geometry" to "homological algebra". Thorough explanations of the extension of given perturbations on the boundary to the interior are presented. Also explained is the process of taking the "homotopy limit" needed to handle a system of infinitely many moduli spaces. Having in mind the future application of these chain level constructions beyond those already known, an axiomatic approach is taken by listing the properties of the system of the relevant moduli spaces and then a self-contained account of the construction of the associated algebraic structures is given. This axiomatic approach makes the exposition contained here independent of previously published construction of relevant structures.
Blow-Up Theory for Elliptic Pdes in Riemannian Geometry (Mn-45)
Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schr繹dinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev space consisting of square integrable functions whose gradient is also square integrable. This splitting is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and methods that lead to sharp pointwise estimates. These estimates have important applications when dealing with sharp constant problems (a case where the energy is minimal) and compactness results (a case where the energy is arbitrarily large). The authors carefully and thoroughly describe pointwise behavior when the energy is arbitrary. Intended to be as self-contained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields.
How to Solve Word Problems in Geometry
Word problems No problem!! Be prepared for the word-problem section of your test! With this easy-to-use pocket guide, solving word problems in geometry becomes almost fun. This anxiety-quelling guide helps you get ready for those daunting word problems, one step at a time. The fully explained examples show you how easy it can be to translate word problems into solvable geometric formulas--and get the answers right! You have complete directions for solving problems that involve extensive use of figures, visual calculations, and more. There's no geometry word problem too rough for How to Solve Word Problems in Geometry!
Contributions of Geometry to the Main Stream of Mathematics
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Geometry: A Comprehensive Course
Geometry is a mathematical branch that deals with the questions of size, shape, relative position of figures and the properties of space. Some of the fundamental concepts of geometry include concepts of line, surface, point, plane, angle and curve as well as the notions of manifold and topology. Geometry is applied in many fields such as architecture, physics, art and other branches of mathematics. A few of the sub-disciplines within this field are Euclidean geometry, differential geometry and algebraic geometry. Euclidean geometry is applied in the fields of computer graphics, computational geometry, incidence, geodesy and navigation. Differential geometry involves the usage of techniques of calculus and linear algebra for studying geometric problems. The topics included in this book on geometry are of utmost significance and bound to provide incredible insights to readers. It elucidates new techniques and their applications in a multidisciplinary approach. Those in search of information to further their knowledge will be greatly assisted by this book.
The Elements Of Non Euclidean Geometry
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A Course Of Differential Geometry
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Elementary Mathematics From an Advanced Standpoint
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The Ontario High School Geometry [microform]
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A Text-book of Euclid's Elements [microform]
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Elementary Plane Geometry
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Some Proofs in Elementary Geometry
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Geometry Of Time And Space
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Advanced Geometry for High Schools
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A System of Geometry and Trigonometry
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The Foundations of Geometry,
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Elementary Geometry, Plane
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Diophantine Geometry
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Algebraic Surfaces
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Geometry for Today
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A Treatise on Elementary Trigonometry [microform]
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The Circle and Straight Line [microform]
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Solid Analytical Geometry And Determinants
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A Treatise on Plane and Advanced Trigonometry
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Contributions of Geometry to the Main Stream of Mathematics
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Introduction to the Geometry of Complex Numbers
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On Metric Algebras
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The Poems of Henry Constable
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Differential Geometry of Three Dimensions; 1
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Diophantine Geometry
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Introduction to Elementary Functions
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Paper Folding for the Mathematics Class
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Lectures on Analytic and Projective Geometry. --
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Elementary Coordinate Geometry
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Finite Dimensional Vector Spaces; 2nd Edition
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Conic Sections and Analytical Geometry; Theoretically and Practically Illustrated
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Euclid or Einstein; a Proof of the Parallel Theory and a Critique of Metageometry
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Nova Scotia High School Geometry
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Geometry for Schools [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Arithmetica Universalis
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Inversive Geometry
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A Course Of Differential Geometry
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.