186 books about Mathematics and 12
start with A

Advances in Modal Logic, Volume 1
Edited by Marcus Kracht, Maarten de Rijke, Heinrich Wansing, and Michael Zakhary
CSLI, 1998
Library of Congress BC199.M6A38 1998  Dewey Decimal 160
Modal logic originated in philosophy as the logic of necessity and possibility. Nowadays it has reached a high level of mathematical sophistication and found many applications in a variety of disciplines, including theoretical and applied computer science, artificial intelligence, the foundations of mathematics, and natural language syntax and semantics.
This volume represents the proceedings of the first international workshop on Advances in Modal Logic, held in Berlin, Germany, October 810, 1996. It offers an uptodate perspective on the field, with contributions covering its proof theory, its applications in knowledge representation, computing and mathematics, as well as its theoretical underpinnings.
"This collection is a useful resource for anyone working in modal logic. It contains both interesting surveys and cuttingedge technical results"
Edwin D. Mares
The Bulletin of Symbolic Logic, March 2002
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African Fractals: Modern Computing and Indigenous Design
Eglash, Ron
Rutgers University Press, 1999
Library of Congress GN650.E35 1999  Dewey Decimal 514.742096
Fractals are characterized by the repetition of similar patterns at everdiminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences.
Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and rightangle corners. In contrast, traditional African settlements tend to use fractal structurescircles of circles of circular dwellings, rectangular walls enclosing eversmaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems.
Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.
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After Euclid
Jesse Norman
CSLI, 2006
Library of Congress BC136.N67 2006  Dewey Decimal 160
What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and longdisregarded concept of visual reasoning and reasserts its potential as a formidable tool in our ability to grasp various kinds of geometrical knowledge. The first detailed philosophical case study of its kind, this text is essential reading for scholars in the fields of mathematics and philosophy.
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Algebras, Diagrams and Decisions in Language, Logic and Computation
Edited by Kees Vermeulen and Ann Copestake
CSLI, 2002
Library of Congress P39.A44 2001  Dewey Decimal 410.151
This exemplary volume shows how the shared interests of three different research areas can lead to significant and fruitful exchanges: six papers each very accessibly present an exciting contribution to the study and uses of algebras, diagrams, and decisions, ranging from indispensable overview papers about shared formal members to inspirational applications of formal tools to specific problems. Contributors include Pieter Adriaans, Sergei Artemov, Steven Givant, Edward Keenan, Almerindo Ojeda, Patrick Scotto di Luzio, and Edward Stabler.
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Algorithmes
Donald E. Knuth
CSLI, 2011
Library of Congress QA76.9.A43K578 2011  Dewey Decimal 005.1
This book is a French translation of seventeen papers by Donald Knuth on algorithms both in the field of analysis of algorithms and in the design of new algorithms. They cover fundamental concepts and techniques and numerous discrete problems such as sorting, searching, data compression, theoremproving, and cryptography, as well as methods for controlling errors in numerical computations.
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The Applicability of Mathematics as a Philosophical Problem
Mark Steiner
Harvard University Press, 1998
Library of Congress QC20.S743 1998  Dewey Decimal 530.15


Architecture and Geometry in the Age of the Baroque
George L. Hersey
University of Chicago Press, 2001
Library of Congress NA956.H47 2000  Dewey Decimal 724.16
The age of the Baroque—a time when great strides were made in science and mathematics—witnessed the construction of some of the world's most magnificent buildings. What did the work of great architects such as Bernini, Blondel, Guarini, and Wren have to do with Descartes, Galileo, Kepler, Desargues, and Newton? Here, George Hersey explores the ways in which Baroque architecture, with its dramatic shapes and playful experimentation with classical forms, reflects the scientific thinking of the time. He introduces us to a concept of geometry that encompassed much more than the science we know today, one that included geometrics (number and shape games), as well as the art of geomancy, or magic and prophecy using shapes and numbers.
Hersey first concentrates on specific problems in geometry and architectural design. He then explores the affinities between musical chords and several types of architectural form. He turns to advances in optics, such as artificial lenses and magic lanterns, to show how architects incorporated light, a heavenly emanation, into their impressive domes. With ample illustrations and lucid, witty language, Hersey shows how abstract ideas were transformed into visual, tactile form—the epicycles of the cosmos, the sexual mystique surrounding the cube, and the imperfections of heavenly bodies. Some two centuries later, he finds that the geometric principles of the Baroque resonate, often unexpectedly, in the work of architects such as Frank Lloyd Wright and Le Corbusier. A discussion of these surprising links to the past rounds out this brilliant reexamination of some of the longforgotten beliefs and practices that helped produce some of Europe's greatest masterpieces.
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Are Changing Constituencies Driving Rising Polarization in the U.S. House of Representatives?
Jesse Sussell
RAND Corporation, 2015
This report addresses two questions: first, whether the spatial distribution of the American electorate has become more geographically clustered over the last 40 years with respect to party voting and socioeconomic attributes; and second, whether this clustering process has contributed to rising polarization in the U.S. House of Representatives.
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Arithmetic
Paul Lockhart
Harvard University Press, 2017
Library of Congress QA115.L713 2017  Dewey Decimal 513
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and nonWestern—and weighs the pluses and minuses of each.
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Arrow Logic and MultiModal Logic
Edited by Maarten Marx, László Pólos, and Michael Masuch
CSLI, 1996
Library of Congress BC71.A77 1996  Dewey Decimal 160
Conceived by Johan van Benthem and Yde Venema, arrow logic started as an attempt to give a general account of the logic of transitions. The generality of the approach provided a wide application area ranging from philosophy to computer science. The book gives a comprehensive survey of logical research within and around arrow logic. Since the natural operations on transitions include composition, inverse and identity, their logic, arrow logic can be studied from two different perspectives, and by two (complementary) methodologies: modal logic and the algebra of relations. Some of the results in this volume can be interpreted as price tags. They show what the prices of desirable properties, such as decidability, (finite) axiomatisability, Craig interpolation property, Beth definability etc. are in terms of semantic properties of the logic. The research program of arrow logic has considerably broadened in the last couple of years and recently also covers the enterprise to explore the border between decidable and undecidable versions of other applied logics. The content of this volume reflects this broadening. The editors included a number of papers which are in the spirit of this generalised research program.
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Asset Prices and Monetary Policy
Edited by John Y. Campbell
University of Chicago Press, 2008
Library of Congress HG230.3.A733 2008  Dewey Decimal 339.53
Economic growth, low inflation, and financial stability are among the most important goals of policy makers, and central banks such as the Federal Reserve are key institutions for achieving these goals. In Asset Prices and Monetary Policy, leading scholars and practitioners probe the interaction of central banks, asset markets, and the general economy to forge a new understanding of the challenges facing policy makers as they manage an increasingly complex economic system.
The contributors examine how central bankers determine their policy prescriptions with reference to the fluctuating housing market, the balance of debt and credit, changing beliefs of investors, the level of commodity prices, and other factors. At a time when the public has never been more involved in stocks, retirement funds, and real estate investment, this insightful book will be useful to all those concerned with the current state of the economy.
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The Asymptotic Developments of Functions Defined by Maclaurin Series
By Walter B. Ford
University of Michigan Press, 1936


