General Geometry

e-books in this category

A Modern Course on Curves and Surfaces
by Richard S. Palais - virtualmathmuseum.org , 2003
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; ODE; and more.
(2484 views)

A Sampler of Riemann-Finsler Geometry
by D. Bao, R. Bryant, S. Chern, Z. Shen - Cambridge University Press , 2004
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.
(1767 views)

A Text-Book of Geometry
by G. A. Wentworth - Ginn & Company , 1898
Introduction to geometry, the straight line, circle, proportional lines and similar polygons, areas of polygons, regular polygons and circles. The book includes exercises: theorems, problems of construction, loci, and problems of computation.
(7182 views)

Algebraic Topology
by Allen Hatcher - Cambridge University Press , 2001
Introductory text suitable for use in a course or for self-study, it covers fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The geometric aspects of the subject are emphasized.
(6727 views)

Analytic Geometry
by L. P. Siceloff, G. Wentworth, D. E. Smith - Ginn and Company , 1922
Contents: Geometric Magnitudes; Loci and their Equations; The Straight Line; The Circle; Transformation of Coordinates; The Parabola; The Ellipse; The Hyperbola; Conics in General; Polar Coordinates; Higher Plane Curves; Point, Plane, and Line; etc.
(2155 views)

CK-12 Geometry
by V. Cifarelli, A. Gloag, D. Greenberg, J. Sconyers, B. Zahner - CK-12 Foundation , 2009
Contents: Reasoning and Proof; Parallel and Perpendicular Lines; Congruent Triangles; Relationships Within Triangles; Quadrilaterals; Similarity; Right Triangle Trigonometry; Circles; Perimeter and Area; Surface Area and Volume; Transformations.
(2553 views)

Comparison Geometry
by Karsten Grove, Peter Petersen - Cambridge University Press , 1997
This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach.
(603 views)

Conic Sections Treated Geometrically
by W. H. Besant - George Bell and Sons , 1895
In the present Treatise the Conic Sections are defined with reference to a focus and directrix, and I have endeavoured to place before the student the most important properties of those curves, deduced, as closely as possible, from the definition.
(1943 views)

Convex Geometric Analysis
by Keith Ball, Vitali Milman - Cambridge University Press , 1998
Convex bodies are at once simple and amazingly rich in structure. This collection involves researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis.
(1000 views)

Coordinate Geometry
by Henry B. Fine, Henry D. Thompson - The MacMillan Company , 1911
Contents: Coordinates; The Straight Line; The Circle; The Parabola; The Ellipse; The Hyperbola; Transformation Of Coordinates; The General Equation Of The Second Degree; Sections Of A Cone; Systems Of Conics; Tangents And Polars Of The Conic; etc.
(813 views)

Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry
by Florentin Smarandache - Amer Research Pr , 2000
A collection of definitions, questions, and theorems such as Smarandache type conjectures, problems, numerical bases, T-numbers, progressions, series, functions, Non-Euclidean geometries, paradoxes, linguistic tautologies, and more.
(3881 views)

Euclid's Elements
by D.E.Joyce , 1998
Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.
(3654 views)

Flatland: A Romance of Many Dimensions
by Edwin A. Abbot - Datum , 2008
The book gives some accessible and charming explanations of geometry and physics for the curious non-mathematician. Flatland imagines a two-dimensional world inhabited by sentient geometric shapes who think their planar world is all there is.
(5134 views)

Flavors of Geometry
by Silvio Levy - Cambridge University Press , 1997
This book collects accessible lectures on four geometrically flavored fields of mathematics that have experienced great development in recent years: hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation.
(798 views)

Foundations of geometry for university students and high-school students
by Ruslan Sharipov - arXiv , 2007
This is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning. It can also be used in mathematics coteries and self-education groups.
(773 views)

Fractal Geometry
by Michael Frame, Benoit Mandelbrot, Nial Neger - Yale University , 2009
This is an introduction to fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences.
(2865 views)

Fundamentals of Geometry
by Oleg A. Belyaev - Moscow State University , 2007
A continually updated book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers.
(3138 views)

Geometric Theorems and Arithmetic Functions
by Jozsef Sandor - American Research Press , 2002
Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.
(3551 views)

Geometry and Billiards
by Serge Tabachnikov , 1991
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods are tested.
(2455 views)

Geometry for Elementary School
- Wikibooks , 2007
This book is intended for use by a parent and a child. It is recommended that the parent have some familiarity with geometry, but this is not necessary. The parent can simply read the chapter before teaching the child and then learn it together.
(2988 views)

Kerala Mathematics
- Government of Kerala , 2004
This textbook covers Geometry and Algebra for a high-school audience. From the table of contents: arithmetic progression, circles, real numbers, quadratic equations, tangents, polynomials, solids, trigonometry, analytic geometry, statistics.
(4041 views)

Lectures on Discrete and Polyhedral Geometry
by Igor Pak - University of Minnesota , 2008
This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.
(1723 views)

Lectures on the Geometry of Quantization
by Sean Bates, Alan Weinstein - University of California at Berkeley , 1997
An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.
(2605 views)

Mathematical Illustrations: A Manual of Geometry and PostScript
by Bill Casselman - Cambridge University Press , 2005
The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.
(3507 views)

Neutral and Non-Euclidean Geometries
by David C. Royster - UNC Charlotte , 2000
In this course the students are introduced, or re-introduced, to the method of Mathematical Proof. You will be introduced to new and interesting areas in Geometry, with most of the time spent on the study of Hyperbolic Geometry.
(163 views)

Non-Euclidean Geometry
by Henry Manning - Ginn and Company , 1901
This book gives a simple and direct account of the Non-Euclidean Geometry, and one which presupposes but little knowledge of Mathematics. The entire book can be read by one who has taken the mathematical courses commonly given in our colleges.
(2020 views)

Plane Geometry
by George Wentworth, David E. Smith - Ginn and Company , 1913
For a generation this was the leading textbook on the subject of plane geometry in America. Topics covered: rectilinear figures, the circle, proportion, similar polygons, areas of polygons, regular polygons and circles, etc.
(721 views)

Projective Geometry
by Nigel Hitchin , 2003
The techniques of projective geometry provide the technical underpinning for perspective drawing and in particular for the modern version of the Renaissance artist, who produces the computer graphics we see every day on the web.
(2501 views)

Researches on Curves of the Second Order
by George Whitehead Hearn - Project Gutenberg , 2005
Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.
(133 views)

Solid Geometry, with Problems and Applications
by H. E. Slaught, N. J. Lennes - Allyn and Bacon , 1919
From the table of contents: Introduction; Axioms and Theorems from Plane Geometry; Properties of the Plane; Regular Polyhedrons; Prisms and Cylinders; Pyramids and Cones; The Sphere; Portraits and biographical sketches; and more.
(2089 views)

The Elements Of Non-Euclidean Geometry
by Julian Lowell Coolidge - Oxford At The Clarendon Press , 1909
Chapters include: Foundation For Metrical Geometry In A Limited Region; Congruent Transformations; Introduction Of Trigonometric Formulae; Analytic Formulae; Consistency And Significance Of The Axioms; Geometric And Analytic Extension Of Space; etc.
(159 views)

The Foundations of Geometry
by David Hilbert - Project Gutenberg , 1902
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.
(2218 views)

The Pythagorean Theorem: Crown Jewel of Mathematics
by John C. Sparks - AuthorHouse , 2008
The book chronologically traces the Pythagorean theorem from the beginning, through 4000 years of Pythagorean proofs. The text presents some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the theorem.
(4588 views)

Theory of Symmetry and Ornament
by Slavik V. Jablan - Matematicki Institut , 1995
This work is a comparative analysis of the theory of discrete and visually presentable continuous symmetry groups in the plane E2 or in E2\{O}: Symmetry Groups of Rosettes, Friezes and Ornaments, Similarity Symmetry Groups in E2, etc.
(2028 views)

Topics in Finite Geometry: Ovals, Ovoids and Generalized Quadrangles
by S. E. Payne - University of Colorado Denver , 2007
The present book grew out of notes written for a course by the same name taught by the author during in 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.
(1941 views)

Virtual Polyhedra: The Encyclopedia of Polyhedra
by George W. Hart , 2000
Polyhedra have an enormous aesthetic appeal and the subject is fun and easy. This is a collection of thousands of virtual reality polyhedra for you to explore. There are hundreds here which have never been illustrated in any previous publication.
(1906 views)