Jacob T. Schwartz Knihy

This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician―treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.

In this pioneering work, Schwartz and Sharir present a groundbreaking approach to the problem of object recognition in real-world situations. Drawing on insights from computational geometry, their algorithms are able to identify partially obscured objects with a high degree of accuracy. This book is essential reading for anyone interested in the science of perception and pattern recognition.

Culturally significant, this work has been preserved from its original artifact to maintain authenticity. It includes original copyright references and library stamps, reflecting its historical importance and the scholarly efforts to keep it intact. The reproduction aims to provide a true representation of the original text, offering readers insight into the knowledge base of civilization.

Focusing on the groundbreaking contributions of Professor Jacob T. Schwartz, this text explores computational logic and set theory through the lens of proof verification techniques. It introduces the ÆtnaNova system, a prototype for verifying mathematical proofs in set theory. Key topics include leveraging first-order theories for reasoning in computer science and mathematics, automated proof verification for large software systems, and critical proof-engineering issues. An appendix provides formalized proofs of ordinals, transitive closure properties, induction principles, and Zorn's lemma.

This title, first published in 1965, provides an analysis of the forces and mechanisms governing the formation of the overall level of money prices. Even though this problem has a long history, and in spite of its obvious practical importance, it remains one of the most poorly understood questions in economic theory. This title will be of interest to students of monetary economics and the history of economic thought.

An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.