37 products were found matching your search for Geometer in 1 shops:

Two classic tales of near-future politics and skulduggery are twice the bargain in this newest Tor Double. Superior reading by award-winning authors.

No dust jacket. Good hardcover with some shelfwear; may have previous owner's name inside. Standard-sized.

Buried beneath today's Midwestern towns, under several layers of earth and the accumulated debris of two thousand years, are the clues to an ancient mystery. A Native American people, now known as the Hopewell, lived and worked these lands, building earthworks which in some instances dwarf the ruins at Stonehenge. More significantly, these mammoth earthworks were built in different geometric shapes, using a standard unit of measure and aligned to the cycles of the sun and the moon. Using the foundation of existing scholarship, Mysteries of the Hopewell presents new discoveries showing the accomplishments of the Mound Builders in astronomy, geometry, measurement, and counting. William Romain then goes one step further to theorize why generations of people toiled to move millions of tons of earth to form these precise structures, joining the ranks of the Egyptians, Mayans, Greeks, Chinese, and other advanced ancient cultures. William Romain's Mysteries of the Hopewell will appeal to many readers, including anthropologists, mathematicians, and historians, but perhaps especially to readers curious about ancient cultures and seeking explanations for these magnificent earthen structures.

College Geometry Using The Geometer's Sketchpad(R) is unique in its truly discovery based approach to learning geometry with complete integration of Sketchpad. Through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries, students hone their understanding of geometry and their ability to write rigorous mathematical proofs. It is an ideal text for students planning to teach at the middle or secondary level. Each chapter follows the same format to best promote active learning: - Activities open each chapter allowing students the opportunity to explore topics and make conjectures using Sketchpad - Discussions cover important theorems and concepts that solidify the conjectures made in the activities - Exercises reinforce the discussions and advance student expertise with Sketchpad - Each new copy of the book is packaged with a valuable CD-ROM with Sketchpad documents that relate directly to the material in the text - These multi-page documents provide a starting point for every activity and provide dynamic interactive versions of all the figures in the text.

From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer’s Sketchpad. The book's truly discovery-based approach guides readers to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, readers hone their understanding of geometry and their ability to write rigorous mathematical proofs.

Starting with an analysis of the forms of symmetry, the authors show how a few key principles can help us understand everything from cat's movements, corn circles, and snow crystals to subatomic particles and the overall structure of the cosmos. 127 figures. of full-color illustrations.

Deals with the life and work of the great twentieth-century mathematician Shiing-Shen Chern. Included are numerous pages of photographs; an autobiographical article recounting the formation of a mathematical mind and of a great war; historical and personal reminiscences by thirty distinguished mathematicians and physicists including Bott, Griffiths, Lawson, Nirenberg, Singer, Yang, Yau, and others; and a discussion of 100 open problems in geometry. The book is essential for anyone who is interested in understanding Chern and his influence upon twentieth-century century mathematics.

Through these Sketchpad activities, students explore content from the domain of geometry and develop skills related to: - isosceles and right triangles - the Pythagorean theorem - translations, rotations, and reflections - areas of parallelograms, triangles, trapezoids, circles, and regular polygons - spatial visualization and three-dimensional models

Deals with the life and work of the great twentieth-century mathematician Shiing-Shen Chern. Included are numerous pages of photographs; an autobiographical article recounting the formation of a mathematical mind and of a great war; historical and personal reminiscences by thirty distinguished mathematicians and physicists including Bott, Griffiths, Lawson, Nirenberg, Singer, Yang, Yau, and others; and a discussion of 100 open problems in geometry. The book is essential for anyone who is interested in understanding Chern and his influence upon twentieth-century century mathematics.

Felix Klein, a great geometer of the nineteenth century, rediscovered an idea from Hindu mythology in mathematics: the heaven of Indra in which the whole Universe was mirrored in each pearl in a net of pearls. Practically impossible to represent by hand, this idea barely existed outside the imagination, until the 1980s when the authors embarked on the first computer investigation of Klein's vision. In this extraordinary book they explore the path from some basic mathematical ideas to the simple algorithms that create delicate fractal filigrees, most appearing in print for the first time. Step-by-step instructions for writing computer programs allow beginners to generate the images.

The power that analysis, topology and algebra bring to geometry has revolutionized the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on global analysis.

This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.

Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an important application of such curves, namely, to the construction of low-discrepancy sequences, needed for numerical methods in diverse areas. They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.

The power that analysis, topology and algebra bring to geometry has revolutionized the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on global analysis.

This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important.Non-Euclidean Geometry first examines the various attempts to prove Euclid's parallel postulate-by the Greeks, Arabs, and mathematicians of the Renaissance. Then, ranging through the 17th, 18th and 19th centuries, it considers the forerunners and founders of non-Euclidean geometry, such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachevski. In a discussion of later developments, the author treats the work of Riemann, Helmholtz and Lie; the impossibility of proving Euclid's postulate, and similar topics. The complete text of two of the founding monographs is appended to Bonola's study: "The Science of Absolute Space" by John Bolyai and "Geometrical Researches on the Theory of Parallels" by Nicholas Lobachevski. "Firmly recommended to any scientific reader with some mathematical inclination" — Journal of the Royal Naval Scientific Service. "Classic on the subject." — Scientific American.

Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.

The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination. Unabridged, with supplement.

This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo­ metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym­ metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications­ oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.

This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an important application of such curves, namely, to the construction of low-discrepancy sequences, needed for numerical methods in diverse areas. They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.