Mathematics : Geometry

The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied mathematics. This systematic introduction to the subject first develops the fundamentals of Hessian structures on the basis of a certain pair of a flat connection and a Riemannian metric, and then describes these related fields as applications of the theory. more...

Price: $75.40

The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. more...

Price: $79.95

Boost Your grades with this illustrated quick-study guide. You will use it. from college to graduate school and beyond. Features.:.; Clear and concise explanations.; Difficult concepts are explained in simple terms.; Illustrated with graphs and diagrams.; Designed for optimal navigation on PDA, Smartphone, Tablet, and desktop devices.; Formatted to display on all electronic devices including Smartphones and Mobile Devices with a small display. Table of Contents. Geometry Background.:.; Euclidean Geometry.; Euclidean Space.; Line.; Line Segment.; Incidence of planes and lines.:.; Incidence Structure.; Euclidean Distance.:.; One-dimensional distance.; Two-dimensional distance.; Three-dimensional distance.; Postulate.; The Plane Areas of Mathematics.; Translation.; Translational Symmetry.; Similarity. Triangles.:.; Triangle.:.; Types of triangles.; Points, lines and circles associated with a triangle.; Computing the area of a triangle.; Using vectors.; Using trigonometry.; Using coordinates.; Using Heron's formula.; Ceva's Theorem.; Heron's Formula.; Equilateral Triangle.; Right Angle.; Pythagorean Theorem.; Pythagorean Triple.; Heronian Triangle.; Triangle Inequality.; Pedoe's Inequality.; Similar triangles. Parallel Lines.:.; Congruence.; Parallel Postulate. Polygons.:.; Convex polygon.; Internal Angle.; Diagonal.; Perimeter.; Quadrilateral.:.; Isosceles Trapezoid.; Parallelogram.; Kite.; Rhombus, Rhomboid.; Rectangle.; Square.; Cyclic Quadrilateral, Brahmagupta's formula.; Tangential Quadrilateral.; Star Polygon. Circles.:.; Analytic results.; Properties.; Calculating the parameters.; Area of a Disk.; Circular Sector.; Circular Segment.; Circumference.; Nine-point Circle. Transformational Geometry.:.; Scaling.; Rotation,.:.; Euler's Formula,.; Rotation Matrix,.; Quaternions and Spatial Rotation.; Reflection.:.; Coordinate Rotations and Reflections.; Linear Map. Solid Geometry.:.; Dihedral angle and Solid angle.; The Cube.:.; Cuboid.; Hypercube Graph.; Parallelepiped more...

Price: $19.99

Presents a complete proof of Connes' Index Theorem generalized to foliated spaces, alongside the necessary background from analysis, geometry, and topology. It thus provides a natural introduction to the basic ideas of noncommutative topology. This edition has improved exposition, an updated bibliography, an index, and covers new developments and applications. more...

Price: $34.00

Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics. more...

Price: $275.00