Geometry and Symmetry

Author: Paul B. Yale

Publisher: Courier Corporation

ISBN: 0486169324

Category: Mathematics

Page: 288

View: 2004

DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div

Geometry and the Visual Arts

Author: Daniel Pedoe

Publisher: Courier Corporation

ISBN: 9780486244587

Category: Mathematics

Page: 296

View: 1113

This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.

Shapes, Space, and Symmetry

Author: Alan Holden

Publisher: Courier Corporation

ISBN: 9780486268514

Category: Mathematics

Page: 200

View: 719

Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.

Symmetry, Shape and Space

An Introduction to Mathematics Through Geometry

Author: L.Christine Kinsey,Teresa E. Moore

Publisher: Springer Science & Business Media

ISBN: 9781930190092

Category: Mathematics

Page: 494

View: 5096

This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.

Symmetry Discovered

Concepts and Applications in Nature and Science

Author: Joe Rosen

Publisher: Courier Corporation

ISBN: 048614500X

Category: Science

Page: 176

View: 1364

Newly enlarged classic covers basic concepts and terminology, lucid discussions of geometric symmetry, other symmetries and approximate symmetry, symmetry in nature, in science, more. Solutions to problems. Expanded bibliography. 1975 edition.

Differential Geometry

Author: Erwin Kreyszig

Publisher: Courier Corporation

ISBN: 9780486667218

Category: Mathematics

Page: 352

View: 3251

Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Geometry and Symmetry

Author: L. Christine Kinsey,Teresa E. Moore,Efstratios Prassidis

Publisher: John Wiley & Sons

ISBN: 0470499494

Category: Mathematics

Page: 459

View: 425

This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities take advantage of geometric software so they'll gain a better understanding of its capabilities. Mathematics teachers will be able to use this material to create exciting and engaging projects in the classroom.

Differential Geometric Structures

Author: Walter A. Poor

Publisher: Courier Corporation

ISBN: 048645844X

Category: Mathematics

Page: 338

View: 3067

Useful for independent study and as a reference work, this introduction to differential geometry features many examples and exercises. It defines geometric structure by specifying the parallel transport in an appropriate fiber bundle, focusing on the simplest cases of linear parallel transport in a vector bundle. The treatment opens with an introductory chapter on fiber bundles that proceeds to examinations of connection theory for vector bundles and Riemannian vector bundles. Additional topics include the role of harmonic theory, geometric vector fields on Riemannian manifolds, Lie groups, symmetric spaces, and symplectic and Hermitian vector bundles. A consideration of other differential geometric structures concludes the text, including surveys of characteristic classes of principal bundles, Cartan connections, and spin structures.

Deductive Geometry

Author: E.A. Maxwell

Publisher: Courier Dover Publications

ISBN: 0486809250

Category: Mathematics

Page: 192

View: 5081

This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level. The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.

Geometry from Euclid to Knots

Author: Saul Stahl

Publisher: Courier Corporation

ISBN: 0486134989

Category: Mathematics

Page: 480

View: 3262

This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.

Fearful Symmetry

Is God a Geometer?

Author: Ian Stewart,Martin Golubitsky

Publisher: Courier Corporation

ISBN: 0486477584

Category: Science

Page: 287

View: 2657

"From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 figures illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns"--

The Geometry of Geodesics

Author: Herbert Busemann

Publisher: Courier Corporation

ISBN: 0486442373

Category: Mathematics

Page: 432

View: 9056

A comprehensive approach to qualitative problems in intrinsic differential geometry, this text opens with an explanation of the basic concepts and proceeds to discussions of Desarguesian spaces, perpendiculars and parallels, and covering spaces. Concluding chapters examine the influence of the sign of the curvature on geodesics and homogenous spaces. 1955 edition. Includes 66 figures.

Prelude to Mathematics

Author: W. W. Sawyer

Publisher: Courier Corporation

ISBN: 0486152774

Category: Mathematics

Page: 224

View: 7114

This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.

College Geometry

An Introduction to the Modern Geometry of the Triangle and the Circle

Author: Nathan Altshiller-Court

Publisher: Courier Corporation

ISBN: 0486141373

Category: Mathematics

Page: 336

View: 8013

The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.

The Geometry of Art and Life

Author: Matila Costiescu Ghyka

Publisher: Courier Corporation

ISBN: 9780486235424

Category: Mathematics

Page: 174

View: 8269

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.

Differentialgeometrie von Kurven und Flächen

Author: Manfredo P. do Carmo

Publisher: Springer-Verlag

ISBN: 3322850722

Category: Technology & Engineering

Page: 263

View: 962

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Entertaining Mathematical Puzzles

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 9780486252117

Category: Juvenile Nonfiction

Page: 112

View: 3210

Playing with mathematical riddles can be an intriguing and fun-filled pastime — as popular science writer Martin Gardner proves in this entertaining collection. Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem. Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed. Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked." Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.

Linear Algebra and Geometry

A Second Course

Author: Irving Kaplansky

Publisher: Courier Corporation

ISBN: 9780486432335

Category: Mathematics

Page: 143

View: 2452

The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.