Orbital Integrals on Reductive Lie Groups and Their Algebras

Orbital Integrals on Reductive Lie Groups and Their Algebras: The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.

Real Analysis

Real Analysis: This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.

Manifolds

Manifolds: From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.

The Benefits of the New Economy: Resolving the Global Economic Crisis Through Mutual Guarantee

The Benefits of the New Economy: Resolving the Global Economic Crisis Through Mutual Guarantee: The aim of the book is to point out the causes of today's economic turmoil and how it can be solved. The road toward solution lies not in any remedy from the past. Rather, it lies with a society where all support each other in mutual guarantee.

String Theory and Branes

String Theory and Branes: This course will introduce string theory, which has become the dominant framework for a complete theory of all physical phenomena. As such it is in some sense a course to introduce the modern view of particle physics at its most fundamental level.