Mathematics Books Geometry Books

The Geometry of the Sphere

The Geometry of the Sphere

The Geometry of the Sphere

Tis book covers the following topics related to the Geometry of the Sphere: Basic information about spheres, Area on the sphere, The area of a spherical triangle, Girard's Theorem, Consequences of Girard's Theorem and a Proof of Euler's formula.

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Topics in Geometry Dirac Geometry Lecture Notes

Topics in Geometry Dirac Geometry Lecture Notes

This is an introductory note in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry.

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Geometry in Two Dimensions

Geometry in Two Dimensions

This note is intended for students who have a background in multivariable calculus and some experience in proof-based mathematics. Topics covered includes: Euclidean geometry, Polygons, Triangulations and Tilings, The Chord Theorem, Tangrams and Scissors Congruence, Spherical Geometry, Hyperbolic geometry, Euclids axioms and the parallel postulate, Incidence geometry and Hyperbolic isometries.

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Teaching Geometry in Grade 8 and High School According to the Common Core Standards

Teaching Geometry in Grade 8 and High School According to the Common Core Standards

This is the companion article to Teaching Geometry according to the Common Core Standards. Topics covered includes: Basic rigid motions and congruence, Dilation and similarity, The angle-angle criterion for similarity, The Pythagorean Theorem, The angle sum of a triangle, Volume formulas, basic rigid motions and assumptions, Congruence criteria for triangles, Typical theorems, Constructions with ruler and compass.

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Geometry Lectures

Geometry Lectures

This note explains the following topics: Vectors, Cartesian Coordinates, The Scalar Product, Intersections of Planes and Systems of Linear Equations, Gaubian Elimination and Echelon Form, Vector Product, Matrices, Determinants, Linear Transformations, Eigenvectors and Eigenvalues.

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Fundamentals of Geometry

Fundamentals of Geometry

This book explains the following topics: Classical Geometry, Absolute (Neutral) Geometry, Betweenness and Order, Congruence, Continuity, Measurement, and Coordinates, Elementary Euclidean Geometry, Elementary Hyperbolic Geometry, Elementary Projective Geometry.

s256 Pages
Problems In Plane And Solid Geometry

Problems In Plane And Solid Geometry

The book is addressed to high school students, teachers of mathematics, mathematical clubs, and college students.The collection consists of two parts. It is based on three Russian editions of Prasolovís books on plane geometry. Topics covered includes: Similar Triangles, Inscribed Angles, Circles, Area, Polygons, Loci, Constructions, Geometric Inequalities, Inequalities Between The Elements Of A Triangle, Calculations And Metric Relations, Vectors, The Symmetry Through A Line, Homothety and Rotational Homothety, Convex and Nonconvex Polygons, Divisibility, Invariants, Colorings.

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Discovering Geometry Text Book With Parent's Guide and Tests

Discovering Geometry Text Book With Parent's Guide and Tests

This is a geometry textbook that is being distributed freely on the Internet in separate segments (according to chapter). I united the Parents Guide, the Geometry Lessons, & the tests, and compiled them into a single pdf file

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Geometry Formulas and Facts

Geometry Formulas and Facts

This book covers the following topics: Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines, Polygons, Circles, Conics, Three-Dimensional Geometry.

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The Eightfold Way The Beauty of Klein's Quartic Curve(1999)

The Eightfold Way The Beauty of Klein's Quartic Curve(1999)

This book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects.

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Computational Geometry by MIT

Computational Geometry by MIT

This lecture note covers the following topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces, Non-linear solvers and intersection problems, Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees, Robustness of geometric computations, Interval methods, Finite and boundary element discretization methods for continuum mechanics problems, Scientific visualization, Variational geometry, Tolerances and Inspection methods.

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THREEDIMENSIONAL GEOMETRY

THREEDIMENSIONAL GEOMETRY

Currently this section contains no detailed description for the page, will update this page soon.

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Geometry and Group Theory

Geometry and Group Theory

Currently this section contains no detailed description for the page, will update this page soon.

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Riemann surfaces, dynamics and geometry Course Notes

Riemann surfaces, dynamics and geometry Course Notes

Currently this section contains no detailed description for the page, will update this page soon.

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Geometric Asymptotics

Geometric Asymptotics

Currently this section contains no detailed description for the page, will update this page soon.

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