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In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." Mathematical Reviews
Short turnaround has become critical in the design of electronic systems. Software- programmable components such as microprocessors and digital signal processors have been used extensively in such systems since they allow rapid design revisions. However, the inherent performance limitations of software-programmable systems mean that they are inadequate for high-performance designs. Designers thus turned to gate arrays as a solution. User-programmable gate arrays (field-programmable gate arrays, FPGAs) have recently emerged and are changing the way electronic systems are designed and implemented. The growing complexity of the logic circuits that can be packed onto an FPGA chip means that it has become important to have automatic synthesis tools that implement logic functions on these architectures. Logic Synthesis for Field-Programmable Gate Arrays describes logic synthesis for both look-up table (LUT) and multiplexor-based architectures, with a balanced presentation of existing techniques together with algorithms and the system developed by the authors. Audience: A useful reference for VLSI designers, developers of computer-aided design tools, and anyone involved in or with FPGAs.
Between the eighth and eleventh centuries, many defining features of classical Sunni Islam began to take shape. Among these was the formation of medieval Sunnism around the belief in the unimpeachable orthodoxy of four eponymous founders and their schools of law. In this original study, Ahmad Khan explores the history and cultural memory of one of these eponymous founders, Abū Ḥanīfa. Showing how Abū Ḥanīfa evolved from being the object of intense religious exclusion to a pillar of Sunni orthodoxy, Khan examines the concepts of orthodoxy and heresy, and outlines their changing meanings over the course of four centuries. He demonstrates that orthodoxy and heresy were neither fixed theological categories, nor pious fictions, but instead were impacted by everything from law and politics, to society and culture. This book illuminates the significant yet often neglected transformations in Islamic social, political and religious thought during this vibrant period.
A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis. Mathematical Analysis is composed of ...
A thorough introduction to graduate classical numerical analysis, with all important topics covered rigorously.