This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.

102 Top Picks makes it easy for home educators to select the right curriculum for each family situation and each child's learning style. Widely-recognized curriculum expert Cathy Duffy walks you through the curriculum selection process. This is an updated and extensively revised edition of 101 Top Picks for Homeschool Curriculum.

The chemical compounds which lack carbon-hydrogen bond are known as inorganic compounds. Inorganic chemistry is a branch of chemistry that focuses on the study of the behavior and synthesis of inorganic compounds. Inorganic chemistry is broadly divided into a few major sub-fields which are involved in studying different aspects of inorganic compounds. Some of these sub-fields are descriptive inorganic chemistry, theoretical inorganic chemistry and mechanistic inorganic chemistry. It is utilized in diverse industries such as materials science, surfactants, medications, fuels, pigments and agriculture. This book is a valuable compilation of topics, ranging from the basic to the most complex theories and principles in the field of inorganic chemistry. Some of the diverse topics covered herein address the varied branches that fall under this category. For all those who are interested in inorganic chemistry, this textbook can prove to be an essential guide.

"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.