College Geometry

College Geometry
Available:
Author: Nathan Altshiller-Court
Pages: 313
ISBN: 9780486458052
Release: 2007-04-19
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952. World-renowned writer and researcher Nathan Altshiller-Court (1881–1968) was a professor of mathematics at the University of Oklahoma for more than thirty years. His revised introduction to modern geometry offers today's students the benefits of his many years of teaching experience. The first part of the text stresses construction problems, proceeding to surveys of similitude and homothecy, properties of the triangle and the quadrilateral, and harmonic division. Subsequent chapters explore the geometry of the circle — including inverse points, orthogonals, coaxals, and the problem of Apollonius and triangle geometry, focusing on Lemoine and Brocard geometry, isogonal lines, Tucker circles, and the orthopole. Numerous exercises of varying degrees of difficulty appear throughout the text.

The Wonder Book of Geometry

The Wonder Book of Geometry
Available:
Author: David Acheson
Pages: 288
ISBN: 9780198846383
Release: 2020-10-22
Editor: Oxford University Press, USA

DESCRIPTION OF THE BOOK:

David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.

Precalculus Mathematics in a Nutshell Geometry Algebra Trigonometry

Precalculus Mathematics in a Nutshell  Geometry  Algebra  Trigonometry
Available:
Author: George F. Simmons
Pages: 128
ISBN: 9781592441303
Release: 2003-01-14
Editor: Wipf and Stock Publishers

DESCRIPTION OF THE BOOK:

ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

Geometry A Comprehensive Course

Geometry  A Comprehensive Course
Available:
Author: Dan Pedoe
Pages: 464
ISBN: 9780486131733
Release: 2013-04-02
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Fundamentals of Differential Geometry

Fundamentals of Differential Geometry
Available:
Author: Serge Lang
Pages: 540
ISBN: 038798593X
Release: 2001-09-21
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER

Handbook of Differential Geometry

Handbook of Differential Geometry
Available:
Author: Franki J.E. Dillen,Leopold C.A. Verstraelen
Pages: 574
ISBN: 0080461204
Release: 2005-11-29
Editor: Elsevier

DESCRIPTION OF THE BOOK:

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

Lectures on Classical Differential Geometry

Lectures on Classical Differential Geometry
Available:
Author: Dirk Jan Struik
Pages: 232
ISBN: 0486656098
Release: 1961-01-01
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

Geometry

Geometry
Available:
Author: David A. Brannan,Matthew F. Esplen,Jeremy J. Gray
Pages: 602
ISBN: 9781139503709
Release: 2011-12-22
Editor: Cambridge University Press

DESCRIPTION OF THE BOOK:

This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

Geometry

Geometry
Available:
Author: Harold R. Jacobs
Pages: 780
ISBN: 0716743612
Release: 2003-03-14
Editor: Macmillan

DESCRIPTION OF THE BOOK:

Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today’s students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Practical Linear Algebra

Practical Linear Algebra
Available:
Author: Gerald Farin,Dianne Hansford
Pages: 514
ISBN: 9781466579569
Release: 2013-08-19
Editor: CRC Press

DESCRIPTION OF THE BOOK:

Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for the primary interests: math, engineering, science, computer graphics, and geometric modeling. New to the Third Edition More exercises and applications Coverage of singular value decomposition and its application to the pseudoinverse, principal components analysis, and image compression More attention to eigen-analysis, including eigenfunctions and the Google matrix Greater emphasis on orthogonal projections and matrix decompositions, which are tied to repeated themes such as the concept of least squares To help students better visualize and understand the material, the authors introduce the fundamental concepts of linear algebra first in a two-dimensional setting and then revisit these concepts and others in a three-dimensional setting. They also discuss higher dimensions in various real-life applications. Triangles, polygons, conics, and curves are introduced as central applications of linear algebra. Instead of using the standard theorem-proof approach, the text presents many examples and instructional illustrations to help students develop a robust, intuitive understanding of the underlying concepts. The authors’ website also offers the illustrations for download and includes Mathematica® code and other ancillary materials.

The Geometry of Art and Life

The Geometry of Art and Life
Available:
Author: Matila Costiescu Ghyka
Pages: 174
ISBN: 0486235424
Release: 1977-01-01
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.

Elementary geometry

Elementary geometry
Available:
Author: James Maurice Wilson
Pages: 329
ISBN: OXFORD:591061158
Release: 1878
Editor: Unknown

DESCRIPTION OF THE BOOK:

Plane and Solid Geometry

Plane and Solid Geometry
Available:
Author: Arthur A. Dodd,B. Thomas Chace
Pages: 406
ISBN: UOM:39015064334975
Release: 1898
Editor: Unknown

DESCRIPTION OF THE BOOK:

Axiomatic Geometry

Axiomatic Geometry
Available:
Author: John M. Lee
Pages: 469
ISBN: 9780821884782
Release: 2013-04-10
Editor: American Mathematical Soc.

DESCRIPTION OF THE BOOK:

The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.

Algebraic Geometry and Singularities

Algebraic Geometry and Singularities
Available:
Author: Antonio Campillo Lopez,Luis Narvaez Macarro
Pages: 407
ISBN: 3764353341
Release: 1995-01-26
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

The volume contains both general and research papers. Among the first ones are papers showing recent and original developments or methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The research papers deal on topics related to, or close to, those listed_above. The contributions are organized in three parts according to their contents. Part I presents a set of papers on resolution of singularities, a topic of renewed activity. It deals with important topics of current interest, such as canonical, algorithmic, combinatorial and graphical procedures (Villamayor, Oka, Marijmin), as well as special results on desingularization in characteristic p (Cossart, Moh), and connections between resolution and structure of the space of arcs through a singularity (Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of papers on the study~of singularities and its connections with differential systems and deformation or perturbation theo­ ries. Two expository papers (Maisonobe-Briam;on, :'vlebkhout) describe, in an algebro-geometric way, the interaction between singularities and D-module t.he­ ory including recent progress on Bernstein polynomials and Newton polygon techniques. Geometry of foliations (Henaut, Garcfa-Reguera), polar varieties and stratifications (Hajto) are also topics treated here. Two other papers (Wall, Greuel-Pfister) deal with quasihomogeneous singularities in the contexts of per­ turbations and moduli spaces. Globalization of deformations of singularities (de Jong) and determination of complex topology from the real one (~10nd) com­ plete this series of papers. Part III consists of papers on algebraic geometry of curves and surfaces.

Elements of Geometry

Elements of Geometry
Available:
Author: Simon Newcomb
Pages: 399
ISBN: HARVARD:32044091902114
Release: 1881
Editor: Unknown

DESCRIPTION OF THE BOOK:

Descriptive Geometry

Descriptive Geometry
Available:
Author: John Fry Heather
Pages: 118
ISBN: WISC:89059857797
Release: 1899
Editor: Unknown

DESCRIPTION OF THE BOOK:

Elementary Synthetic Geometry

Elementary Synthetic Geometry
Available:
Author: George Bruce Halsted
Pages: 164
ISBN: UCAL:$B528047
Release: 1892
Editor: Unknown

DESCRIPTION OF THE BOOK:

Lessons in Geometry

Lessons in Geometry
Available:
Author: George Anthony Hill
Pages: 182
ISBN: STANFORD:36105049277473
Release: 1889
Editor: Unknown

DESCRIPTION OF THE BOOK:

Analytical Geometry for Beginners

Analytical Geometry for Beginners
Available:
Author: Thomas Grenfell Vyvyan
Pages: 130
ISBN: HARVARD:32044091919084
Release: 1894
Editor: Unknown

DESCRIPTION OF THE BOOK: