Expanded coverage includes generic cyclical calendars, astronomical lunar calendars, and the Korean, Vietnamese, Aztec, and Tibetan calendars.

This book makes accurate calendrical algorithms readily available for computer use.

This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java

Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ...[it] provides. Joseph Dauben, EASTM, 2011 ...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, ..., make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013

Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them. The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts. Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.

Calendar and Community traces the development of the Jewish calendar from its origins until it reached, in the tenth century CE, its present form. Drawing on a wide range of often neglected sources - literary, documentary, epigraphic, Jewish, Graeco-Roman and Christian - it is the first comprehensive work to have been written on the subject. It will be useful not only to historians and epigraphists for the interpretation of early Jewish datings, but also as a historical study of early Judaism in its own right. Its main theme is that the Jewish calendar evolved in the course of this period from considerable diversity (with a variety of solar and lunar calendars) to unity (with the normative rabbinic calendar). The unification of the calendar was one element in the unification of Jewish identity in later antiquity and the early medieval world.

This book analyzes the discovery of Chinese logic as a paradigmatic case of the epistemic shifts that have shaped interpretations of China’s intellectual heritage. Reconstructing the transcultural genealogy of a modern discourse, it adds a neglected chapter to the global history of philosophy.

First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

The Oxford Illustrated History of Science is the first ever fully illustrated global history of science, from Aristotle to the atom bomb - and beyond. The first part of the book tells the story of science in both East and West from antiquity to the Enlightenment: from the ancient Mediterranean world to ancient China; from the exchanges between Islamic and Christian scholars in the Middle Ages to the Chinese invention of gunpowder, paper, and the printing press; from the Scientific Revolution of sixteenth and seventeenth century Europe to the intellectual ferment of the eighteenth century. The chapters that follow focus on the increasingly specialized story of science since end of the eighteenth century, covering experimental science in the laboratory from Michael Faraday to CERN; the exploration of nature, from intrepid Victorian explorers to twentieth century primatologists; the mapping of the universe, from the discovery of Uranus to Big Bang theory; the impact of evolutionary ideas, from Lamarck, Darwin, and Wallace to DNA; and the story of theoretical physics, from James Clark Maxwell to Quantum Theory and beyond. A concluding chapter reflects on how scientists have communicated their work to a wider public, from the Great Exhibition of 1851 to the internet in the early twenty-first century.