Conformal differential geometry plays an important role in many areas of differential geometry and other fields of mathematics. Since the late 1800s, various developments in this field have occurred. The main notions discussed in the book include the importance of surfaces with isometric or spherical curvature lines, canal surfaces, congruence of circles, and three-orthogonal systems of surface.
Conformal differential geometry plays an important role in many areas of differential geometry and other fields of mathematics. Since the late 1800s, ...
This textbook presents the foundations of tensor calculus and the elements of tensor analysis, in addition to considering numerous applications of tensors to geometry, mechanics and physics. While developing tensor calculus, the authors emphasize its relationship with linear algebra. Necessary notions and theorems of linear algebra are introduced and proved in connection with the construction of the apparatus of tensor calculus; prior knowledge is not assumed. For simplicity and to enable the reader to visualize concepts more clearly, all exposition is conducted in three-dimensional space....
This textbook presents the foundations of tensor calculus and the elements of tensor analysis, in addition to considering numerous applications of ten...
In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.
The authors introduce the above mentioned methods and apply them to a series of concrete...
In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometr...
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches....
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't s...
