Starting with the useful concept of an elementary integral defined (axiomatically) on a family of elementary functions, 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.

Physics, 11th Edition provides students with the skills that they need to succeed in this course, by focusing on conceptual understanding; problem solving; and providing real-world applications and relevance. Conceptual Examples, Concepts and Calculations problems, and Check Your Understanding questions help students to understand physics principles. Math Skills boxes, multi-concept problems, and Examples with reasoning steps help students to improve their reasoning skills while solving problems. "The Physics Of" boxes show students how physics principles are relevant to their everyday lives.

Physics, 12th Edition focuses on conceptual understanding, problem solving, and providing real-world applications and relevance. Conceptual examples, Concepts and Calculations problems, and Check Your Understanding questions help students understand physics principles. Math Skills boxes, multi-concept problems, and Examples with reasoning steps help students improve their reasoning skills while solving problems. “The Physics Of” boxes, and new “Physics in Biology, Sports, and Medicine” problems show students how physics principles are relevant to their everyday lives. A wide array of tools help students navigate through this course, and keep them engaged by encouraging active learning. Animated pre-lecture videos (created and narrated by the authors) explain the basic concepts and learning objectives of each section. Problem-solving strategies are discussed, and common misconceptions and potential pitfalls are addressed. Chalkboard videos demonstrate step-by-step practical solutions to typical homework problems. Finally, tutorials that implement a step-by-step approach are also offered, allowing students to develop their problem-solving skills.

The Student Solutions Manual to accompany Physics 11E contains the complete solutions to those Problems in the text that are marked with an “SSM” icon. There are about 600 Problems, and they are found at the end of each chapter in the text. Step by step solutions are provided, and most are comprised of two parts, a REASONING part, followed by a SOLUTION part. The REASONING part explains what motivates the authors’ procedure for solving the problem, before any algebraic or numerical work is done. During the SOLUTION part, numerical calculations are performed, and the answer to the problem is obtained.