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In this book, the author traces the development of the study of spherical minimal immersions over the past 30 plus years. In trying to make this monograph accessible not just to research mathematicians but mathematics graduate students as well, the author included sizeable pieces of material from upper level undergraduate courses, additional graduate level topics such as Felix Klein s classic treatise of the icosahedron, and a valuable selection of exercises at the end of each chapter.
Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http://mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems
During the last few years, routine applications of NMR techniques have been further developed. Spectrometers of the latest generation offer new types of experiments, such as spinlock and inverse-detected methods. In this third, revised and expanded edition, new methodology is introduced and incorporated into new exercises. In addition, a new chapter has been introduced which demonstrates the fully detailed interpretation of two typical examples.
Thereafter, the glacial erosion on karst, the karstic features of glaciokarsts, the development of these features, the karstic zones of glaciokarsts, surface development of glaciokarsts, case studies on glaciokarsts and an overview of the glaciokarsts of the Earth are presented.
Thereafter, the glacial erosion on karst, the karstic features of glaciokarsts, the development of these features, the karstic zones of glaciokarsts, surface development of glaciokarsts, case studies on glaciokarsts and an overview of the glaciokarsts of the Earth are presented.
This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set-measures of symmetry-and the degree to which convex sets that nearly minimize such measures of symmetry are themselves nearly symmetric-the phenomenon of stability.
"Spherical soap bubbles", isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry.
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