Authors:Steven G. Krantz, Harold R. Parks,
Publisher: Birkhäuser Boston
Keywords: cornerstones, theory, integration, geometric
Number of Pages: 339
Published: 2008-08-12
List price: $69.95
ISBN-10: 0817646760
ISBN-13: 9780817646769

This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. The text provides considerable background for the student and discusses techniques that are applicable to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics. To

Authors:Bert Jüttler, Ragni Piene,
Publisher: Springer
Keywords: geometry, algebraic, modeling, geometric
Number of Pages: 232
Published: 2007-11-12
List price: $129.00
ISBN-10: 3540721843
ISBN-13: 9783540721840

The two fields of Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. This contributed book presents, in 12 chapters written by leading experts, recent results which rely on the interaction of both fields. Some of these results have been obtained in the frame of the European GAIA II project (IST 2001-35512) entitled “Intersection algorithms for geometry-based IT applications using approximate

Authors:Miriam L. Zelditch, Donald L. Swiderski, David H She
Publisher: Academic Press
Keywords: biologists, morphometrics, geometric
Number of Pages: 416
Published: 2004-07-15
List price: $86.95
ISBN-10: 0127784608
ISBN-13: 9780127784601

Geometric Morphometrics for Biologists is an introductory textbook for a course on geometric morphometrics, written for graduate students and upper division undergraduates, covering both theory of shape analysis and methods of multivariate analysis. It is designed for students with minimal math background; taking them from the process of data collection through basic and more advanced statistical analyses. Many examples are given, beginning with simple although realistic case-studies, through examples of complex analyses requiring several different kinds of methods. The book also includes U

Author: J. Michael McCarthy
Publisher: Springer
Keywords: applied, mathematics, interdisciplinary, linkages, design, geometric
Number of Pages: 320
Published: 2000-04-26
List price: $109.00
ISBN-10: 0387989838
ISBN-13: 9780387989839

This book presents the mathematical theory of design for articulated systems called linkages. Robot manipulators, walking machines, and mechanical hands are examples of these systems, all of which rely on simple mechanical constraints to provide a complex workspace for an end-effector. The emphasis of this text is on linkage systems with fewer degrees of freedom than that of a typical robot arm and, therefore, more constraints. The focus is on sizing these constraints to guide the end-effector through a set of task positions. Formulated in this way the design problem is purely geometric in

Author: Victor Guillemin
Publisher: American Mathematical Society
Keywords: monographs, number, surveys, mathematical, asymptotics, geometric
Number of Pages: 480
Published: 1977-12-31
List price: $91.00
ISBN-10: 0821816330
ISBN-13: 9780821816332

Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence. Chapters included in this book are: Chapter I, Introduction. The method of stationary phase; Appendix I, Morse’s lemma and some generalizations; Chapter II, Differe

Author: Darryl D. Holm
Publisher: Imperial College Press
Keywords: translating, rolling, rotating, part, mechanics, geometric
Number of Pages: 312
Published: 2008-04-14
List price: $76.00
ISBN-10: 1848161557
ISBN-13: 9781848161559

This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level. Variational calculus

Author: Nicholas D. Kazarinoff
Publisher: Dover Publications
Keywords: geometric, constructions, problems, classic, round, ruler
Number of Pages: 160
Published: 2003-01-23
List price: $7.95
ISBN-10: 0486425150
ISBN-13: 9780486425153

A number of geometric constructions, although easy to comprehend and fun to do, are nevertheless impossible to complete with just a ruler and a compass. This book discusses the most famous of these "impossible" constructions. Part I, in exploring ground rules, history and angle trisection, considers--among other subjects--angle trisection and bird migration, constructed points, analytic geometry, algebraic classification of constructible numbers, fields of real numbers, cubic equations, and marked ruler, quadratrix, and hyperbola. Part II treats nonconstructible regular polygons and the algebr