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.

"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.

Mike Sullivan loves his adopted city of San Francisco, and he loves trees. In The Trees of San Francisco he has combined his passions, offering a striking and handy compendium of botanical information, historical tidbits, cultivation hints, and more. Sullivan's introduction details the history of trees in the city, a fairly recent phenomenon. The text then piques the reader's interest with discussions of 71 city trees. Each tree is illustrated with a photograph--with its common and scientific names prominently displayed--and its specific location within San Francisco, along with other sites; frequently a close-up shot of the tree is included. Sprinkled throughout are 13 sidelights relating to trees; among the topics are the city's wild parrots and the trees they love; an overview of the objectives of the Friends of the Urban Forest; and discussions about the link between Australia's trees and those in the city, such as the eucalyptus. The second part of the book gets the reader up and about, walking the city to see its trees. Full-page color maps accompany the seven detailed tours, outlining the routes; interesting factoids are interspersed throughout the directions. A two-page color map of San Francisco then highlights 25 selected neighborhoods ideal for viewing trees, leading into a checklist of the neighborhoods and their trees.