Tensor and Vector Analysis (Paperback)

Springer Springer

ISBN 10: 0486498018 / ISBN 13: 9780486498010

Verlag: Dover Publications Inc., New York, 2012

Beschreibung

Paperback. Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry. Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9780486498010

Bibliografische Details

Titel: Tensor and Vector Analysis (Paperback)

Verlag: Dover Publications Inc., New York

Erscheinungsdatum: 2012

Einband: Paperback

Zustand: new

Über diesen Titel

Inhaltsangabe:

Assuming only a knowledge of basic calculus, this text presents an elementary and gradual development of tensor theory. From this treatment, the traditional material of courses on vector analysis is deduced as a particular case. In addition, the book forms an introduction to metric differential geometry. Reprint of The Ronald Press Company, New York, 1962 edition.

Über die Autorin bzw. den Autor:

C. E. Springer was Professor of Mathematics at the University of Oklahoma.