Book Description
This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
Author : Herbert Busemann
Publisher : Courier Corporation
Page : 210 pages
File Size : 27,99 MB
Release : 2013-11-07
Category : Mathematics
ISBN : 0486154998
This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
Author : Alekseĭ Vasilʹevich Pogorelov
Publisher : American Mathematical Soc.
Page : 680 pages
File Size : 22,83 MB
Release : 1973
Category : Mathematics
ISBN : 9780821886618
Author : J. A. Thorpe
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 39,70 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461261538
In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.
Author : Yu.D. Burago
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 38,45 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 3662027518
A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.
Author : S.S. Kutateladze
Publisher : CRC Press
Page : 442 pages
File Size : 39,23 MB
Release : 2005-07-25
Category : Mathematics
ISBN : 0203643844
A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and r
Author : Peter M. Gruber
Publisher : Springer Science & Business Media
Page : 590 pages
File Size : 25,45 MB
Release : 2007-05-17
Category : Mathematics
ISBN : 3540711333
Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.
Author :
Publisher :
Page : 684 pages
File Size : 47,87 MB
Release : 1835
Category : Mathematics
ISBN :
Author : Michel Marie Deza
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 37,17 MB
Release : 2009-05-28
Category : Mathematics
ISBN : 364200234X
Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full. The book appears just as research intensifies into metric spaces and especially, distance design for applications. These distances are particularly crucial, for example, in computational biology, image analysis, speech recognition, and information retrieval. Here, an assessment of the practical questions arising during selection of a "good'' distance function has been left aside in favor of a comprehensive listing of the main available distances, a useful tool for the distance design community. This reader-friendly reference offers both independent introductions and definitions, while at the same time making cross-referencing easy through hyperlink-like boldfaced references to original definitions. This high-quality publication is a mix of reference resource and coffee-table book.
Author : M. Hazewinkel
Publisher : Springer
Page : 927 pages
File Size : 10,24 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1489937978
Author : Mark Dutton
Publisher : Jones & Bartlett Publishers
Page : 617 pages
File Size : 49,60 MB
Release : 2011-05-11
Category : Medical
ISBN : 076379757X
Begin the task of studying for the National Physical Therapy Examination (NPTE) for Physical Therapist Assistants (PTAs) by concentrating on those subject areas where you need the most help! Physical Therapist Assistant Exam Review Guide includes a bound-in online access code for JB TestPrep: PTA Exam Review. Both resources provide thorough exam preparation help for physical therapist assistant candidates preparing to sit for the certification exam.Physical Therapist Assistant Exam Review Guide incorporates thorough overviews of exam content consistent with the Guide to Physical Therapist Practice and the NPTE for PTAs detailing the fundamentals of the profession, the body's systems, and therapeutic procedures, and providing dedicated chapters on pediatrics, geriatrics, and pharmacology. Study questions in each chapter test reader comprehension; "Key Points" boxes highlight important information throughout; and tables and figures provide visual points of reference for learners. JB TestPrep: PTA Exam Review is a dynamic, web-based program includes interactive exam-style questions with instant feedback providing answers and explanations for review and study. Test-takers can also complete a full final exam and browse their results, including a performance analysis summary that highlights which topics require further study. All exam results are saved for later viewing to track progress and improvement.KEY FEATURES* Presents detailed content overviews consistent with the Guide to Physical Therapist Practice and the NPTE content* Includes basic, helpful information on taking the NPTE for PTAs* Contains the latest AHA CPR guidelines* Provides a variety of exam-style questions with answers and explanations * Gives instant feedback to sample exams in the online programAppendices Include: Guide For Conduct of the Physical Therapist Assistant; Standards of Ethical Conduct for the Physical Therapist Assistant; Standards of Practice for Physical Therapy; The 24-hour Clock; and Units of International MeasureBy the time you are done with the Physical Therapist Assistant Exam Review Guide and JB TestPrep: PTA Exam Review, you will feel confident and prepared to complete the final step in the certification process--passing the examination!