The transmission of forces from without to within solid medium comprises a mathematical challenge of utmost complexity. The sources of difficulties are as follows: 1. Surface indeterminate conditions 2. Medium indeterminate relationships 3- Spatial indeterminate continuity 4. Fixing and loading indeterminate conditions 5. Inertial rotational indeterminate equilibrium STATICS OF STRESS Navier's Partial differential equations of stress Surface conditions for projection of stress Cauchy's quadratic or surface of normal stresses Spherical stress tensor Stress deviator tensor Vanishing deviator of...

This is the third book written by the author on the Egyptian Revolution. The other two books are: (1) "Chain Reaction: Egypt's Revolt 2011 Illustrated" and (2) "A Matter of FAITH: The Islamic Spring." The three books comprise the views of an Egyptian immigrant to the United Stated, left Egypt in 1984 while Mubarak was in power, never returned home due to Mubarak's pervasive corruption and destruction of Egypt. About ten million Egyptians face the same fate of the author of alienating the Nile Valley and never return. Many more millions of Egyptians could not flee from the grip of oppression...

This is combined English-Arabic text of the third book written by the author on the Egyptian Revolution. The other two books are: (1) "Chain Reaction: Egypt's Revolt 2011 Illustrated" and (2) "A Matter of FAITH: The Islamic Spring." The three books comprise the views of an Egyptian immigrant to the United Stated, left Egypt in 1984 while Mubarak was in power, never returned home due to Mubarak's pervasive corruption and destruction of Egypt. About ten million Egyptians face the same fate of the author of alienating the Nile Valley and never return. Many more millions of Egyptians could not...

College Level Mathematics Personal Study Notes This book comprises three hundred and thirty solved examples in college mathematics, a prerequisite for completion of bachelor degree in electrical engineering, nuclear engineering, physics, or mathematics. Each chosen example represents a unique concept in applied mathematics that is essential in preparing the undergraduate student to advance to higher level mathematics and physics. In most chapters, unsolved exercises are added for practicing. Thus, the book represents the essential needs of study of mathematics during the five intense study...

The thought of publishing my personal study notes that covered fifteen years of undergraduate, graduate, and postdoctoral learning and research dates to the year 1969. The only difference between my forty year old thought and the present is the phenomenal invention and growth of the Internet and computer software. Then, our copy machines were run by ammonia deposits on chemically treated paper. The stencil tissues and engravers were the common tools for small size publication. None of those was economically viable during my years as student with total dependency on scholarships and family...

This is Part II of my personal study notes in advanced mathematics. It entails theoretical analysis, solved examples, and exercises on the following topics: 9. FUNCTIONS OF COMPLEX VARIABLE Introduction to complex numbers The real and imaginary parts of a complex number Modulus and Argument of a complex number Complex number as vectors Cartesian and Polar representation of complex numbers Pure Real and Imaginary numbers Representation of complex numbers on a Riemann Sphere Algebraic operations on complex numbers. Conformal Mapping Inverse Transformation Series of complex numbers Cauchy's...