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Elementary Functions
This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation. This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software. After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main ...
Handbook of Floating-Point Arithmetic
Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
Adorno
'Even the biographical individual is a social category', wrote Adorno. ‘It can only be defined in a living context together with others.’ In this major new biography, Stefan Müller-Doohm turns this maxim back on Adorno himself and provides a rich and comprehensive account of the life and work of one of the most brilliant minds of the twentieth century. This authoritative biography ranges across the whole of Adorno's life and career, from his childhood and student years to his years in emigration in the United States and his return to postwar Germany. At the same time, Muller-Doohm examines the full range of Adorno's writings on philosophy, sociology, literary theory, music theory and cu...
Helvetica
An ode to the beloved typeface Helvetica is a sans-serif typeface. It is simple and clean, and commonly seen in advertising, signage, and literature. The R has a curved leg, and the i and j have square dots. The Q has a straight angled tail, and the counterforms inside the O, Q, and C are oval. It is an all-purpose type design that can deliver practically any message clearly and efficiently. It is one of the most popular typefaces of all time. Helvetica: Homage to a Typeface presents 400 examples of Helvetica in action, selected from two diametrically opposed worlds. Superb applications by renowned designers are juxtaposed with an anonymous collection of ugly, ingenious, charming, and hair-raising samples of its use.
Geometry, Analysis and Probability
This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian K-I. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields.
Computer Arithmetic
Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementatio...
Finite Precision Number Systems and Arithmetic
Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
The Mathematical-Function Computation Handbook
This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally...
Good Government
Faced with government's ineptitude, people are attracted to strong leaders and bold action. As Pierre Rosanvallon demonstrates, "presidentialism" may reflect the particular concerns of today, but its many precursors show that democracy has always struggled with tension between popular government and concentrated authority.
Shields
Published to accompany the exhibition held at the Mona Bismarck Foundation, Paris, 10 September - 28 November 1998, and then touring Europe.
