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Author: Eduardo Noble
Publisher: Springer Nature
ISBN: 3030938204
Category : Mathematics
Languages : en
Pages : 424
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Book Description
This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.
Author: Eduardo Noble
Publisher: Springer Nature
ISBN: 3030938204
Category : Mathematics
Languages : en
Pages : 424
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Book Description
This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.
Author: Javier Echeverria
Publisher: Walter de Gruyter
ISBN: 3110870290
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Author: W.R. Klemm
Publisher: Springer Science & Business Media
ISBN: 9400710976
Category : Science
Languages : en
Pages : 371
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Book Description
This book describes the author’s view of how the mind “thinks” at various levels of operation. These levels include nonconscious mind (as in spinal/brainstem reflexes and neuroendocrine controls), subconscious mind, and conscious mind. In the attempt to explain conscious mind, there is considerable critique of arguments over whether or not free will is an illusion. Finally, the author summarizes current leading theories for consciousness (Bayesian probability, chaos, and quantum mechanics) and then presents his own theory based on patterns of nerve impulses in circuits that are interlaced coherently into larger networks.
Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825
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Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 870
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Book Description
Author:
Publisher:
ISBN:
Category : Editions
Languages : en
Pages : 1160
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Book Description
Author: Matthias Beck
Publisher: American Mathematical Soc.
ISBN: 147042200X
Category : Mathematics
Languages : en
Pages : 325
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Book Description
Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.
Author: Dimitry Kozlov
Publisher: Springer Science & Business Media
ISBN: 9783540730514
Category : Mathematics
Languages : en
Pages : 416
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Book Description
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
Author: Charles Kurzman
Publisher: Harvard University Press
ISBN: 9780674039834
Category : History
Languages : en
Pages : 318
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Book Description
The shah of Iran, Mohammad Reza Pahlavi, would remain on the throne for the foreseeable future: This was the firm conclusion of a top-secret CIA analysis issued in October 1978. One hundred days later the shah--despite his massive military, fearsome security police, and superpower support was overthrown by a popular and largely peaceful revolution. But the CIA was not alone in its myopia, as Charles Kurzman reveals in this penetrating work; Iranians themselves, except for a tiny minority, considered a revolution inconceivable until it actually occurred. Revisiting the circumstances surrounding the fall of the shah, Kurzman offers rare insight into the nature and evolution of the Iranian revolution and into the ultimate unpredictability of protest movements in general. As one Iranian recalls, The future was up in the air. Through interviews and eyewitness accounts, declassified security documents and underground pamphlets, Kurzman documents the overwhelming sense of confusion that gripped pre-revolutionary Iran, and that characterizes major protest movements. His book provides a striking picture of the chaotic conditions under which Iranians acted, participating in protest only when they expected others to do so too, the process approaching critical mass in unforeseen and unforeseeable ways. Only when large numbers of Iranians began to think the unthinkable, in the words of the U.S. ambassador, did revolutionary expectations become a self-fulfilling prophecy. A corrective to 20-20 hindsight, this book reveals shortcomings of analyses that make the Iranian revolution or any major protest movement seem inevitable in retrospect.
Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 1192
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Book Description
