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Author: John Tabak Publisher: Infobase Publishing ISBN: 0816068747 Category : Counting Languages : en Pages : 239
Book Description
Presents a survey of the history and evolution of the use of numbers and numerical quantities by different civilizations around the world.
Author: John Tabak Publisher: Infobase Publishing ISBN: 0816068747 Category : Counting Languages : en Pages : 239
Book Description
Presents a survey of the history and evolution of the use of numbers and numerical quantities by different civilizations around the world.
Author: FIB – International Federation for Structural Concrete Publisher: FIB - International Federation for Structural Concrete ISBN: Category : Technology & Engineering Languages : en Pages : 481
Author: Karine Chemla Publisher: Springer Nature ISBN: 3030983617 Category : Science Languages : en Pages : 764
Book Description
This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.
Author: James W. Cortada Publisher: Routledge ISBN: 1315287757 Category : Business & Economics Languages : en Pages : 181
Book Description
This book studies how a technological innovation -- in this case the computer -- progresses from its origin as an idea in someone's mind to its eventual manifestation as a useable and marketable consumer product.
Author: Michel Rigo Publisher: John Wiley & Sons ISBN: 1119042860 Category : Technology & Engineering Languages : en Pages : 151
Book Description
The interplay between words, computability, algebra and arithmetic has now proved its relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite automata (such as that initiated by J.R. Büchi) or between combinatorics on words and number theory has paved the way to recent dramatic developments, for example, the transcendence results for the real numbers having a "simple" binary expansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unified exposition. Objects are considered with a perspective that comes both from theoretical computer science and mathematics. Theoretical computer science offers here topics such as decision problems and recognizability issues, whereas mathematics offers concepts such as discrete dynamical systems. The main goal is to give a quick access, for students and researchers in mathematics or computer science, to actual research topics at the intersection between automata and formal language theory, number theory and combinatorics on words. The second of two volumes on this subject, this book covers regular languages, numeration systems, formal methods applied to decidability issues about infinite words and sets of numbers.
Author: Publisher: IOS Press ISBN: Category : Languages : en Pages : 6097
Author: Michel Rigo Publisher: John Wiley & Sons ISBN: 1119008220 Category : Computers Languages : en Pages : 330
Book Description
Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.
Author: Lluís Feliu Publisher: Walter de Gruyter GmbH & Co KG ISBN: 1501503693 Category : History Languages : en Pages : 516
Book Description
This volume is dedicated to Miguel Civil in celebration of his 90th birthday. Civil has been one of the most influential scholars in the field of Sumerian studies over the course of his long career. This anniversary presents a welcome occasion to reflect on some aspects of the field in which he has been such a driving force.
Author: John Tabak
Author: John Tabak
Author: FIB – International Federation for Structural Concrete
Author: Karine Chemla
Author: Anton Glaser
Author: James W. Cortada
Author: Michel Rigo
Author: 
Author: Michel Rigo
Author: Lluís Feliu
Author: Ruth Solski