#### **Geometry**

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## 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.

## 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.

## 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

## 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.

## 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.

## 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.

## Geometry

Available | : |

Author | : David A. Brannan,Matthew F. Esplen,Jeremy J. Gray |

Pages | : 602 |

ISBN | : 1107647835 |

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.

## 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.

## Stochastic Geometry

Available | : |

Author | : David Coupier |

Pages | : 232 |

ISBN | : 9783030135478 |

Release | : 2019-04-09 |

Editor | : Springer |

**DESCRIPTION OF THE BOOK:**

This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.

## 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.

## 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

## Elementary geometry

Available | : |

Author | : James Maurice Wilson |

Pages | : 329 |

ISBN | : OXFORD:591061158 |

Release | : 1878 |

Editor | : Unknown |

**DESCRIPTION OF THE BOOK:**

## 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:**

## Riemannian Geometry

Available | : |

Author | : Peter Petersen |

Pages | : 499 |

ISBN | : 9783319266541 |

Release | : 2016-03-18 |

Editor | : Springer |

**DESCRIPTION OF THE BOOK:**

Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory. The book will appeal to a readership that have a basic knowledge of standard manifold theory, including tensors, forms, and Lie groups. Important revisions to the third edition include: a substantial addition of unique and enriching exercises scattered throughout the text; inclusion of an increased number of coordinate calculations of connection and curvature; addition of general formulas for curvature on Lie Groups and submersions; integration of variational calculus into the text allowing for an early treatment of the Sphere theorem using a proof by Berger; incorporation of several recent results about manifolds with positive curvature; presentation of a new simplifying approach to the Bochner technique for tensors with application to bound topological quantities with general lower curvature bounds. From reviews of the first edition: "The book can be highly recommended to all mathematicians who want to get a more profound idea about the most interesting achievements in Riemannian geometry. It is one of the few comprehensive sources of this type." ―Bernd Wegner, ZbMATH

## 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

Available | : |

Author | : Simon Newcomb |

Pages | : 399 |

ISBN | : HARVARD:32044091902114 |

Release | : 1881 |

Editor | : Unknown |

**DESCRIPTION OF THE BOOK:**

## Descriptive Geometry

Available | : |

Author | : John Fry Heather |

Pages | : 118 |

ISBN | : WISC:89059857797 |

Release | : 1899 |

Editor | : Unknown |

**DESCRIPTION OF THE BOOK:**

## Elementary Synthetic Geometry

Available | : |

Author | : George Bruce Halsted |

Pages | : 164 |

ISBN | : UCAL:$B528047 |

Release | : 1892 |

Editor | : Unknown |

**DESCRIPTION OF THE BOOK:**

## 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

Available | : |

Author | : Thomas Grenfell Vyvyan |

Pages | : 130 |

ISBN | : HARVARD:32044091919084 |

Release | : 1894 |

Editor | : Unknown |

**DESCRIPTION OF THE BOOK:**