Real Analysis, Fourth Edition, covers the basic material that every reader should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in mathematics and familiarity with the fundamental concepts of analysis. Classical theory of functions, including the classical Banach spaces; General topology and the theory of general Banach spaces; Abstract treatment of measure and integration.
Literacy in America: An Encyclopedia of History, Theory, and Practice
Literacy, the bedrock of all education, used to be a simple matter of reading and writing. No longer. In today's schools and today's America, literacy means many things: conceptual understanding of texts, familiarity with electronic content, and the ability to create meaning from visual imagery and media messages.
This book provides an excellent detailed review of an important aspect of the geometric program, namely, the role of representation theory of affine Kac-Moody algebras (or loop algebras).
In a detailed reconstruction of the genesis of Feynman diagrams the author reveals that their development was constantly driven by the attempt to resolve fundamental problems concerning the uninterpretable infinities that arose in quantum as well as classical theories of electrodynamic phenomena. Accordingly, as a comparison with the graphical representations that were in use before Feynman diagrams shows, the resulting theory of quantum electrodynamics, featuring Feynman diagrams, differed significantly from earlier versions of the theory in the way in which the relevant phenomena were conceptualized and modelled.
Optimization and Optimal Control: Theory and Applications
Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems.
