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Trends in Differential Equations and Applications
This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current m…
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- 978-3-319-32013-7
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Treks into Intuitive Geometry The World of Polygons and Polyhedra
This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theo…
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- 978-4-431-55843-9
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The Fractal Dimension of Architecture
Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenma…
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- 1
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- 978-3-319-32426-5
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- XVII, 423, 202 b/w illustrations
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- Mathematics and the Built Environment
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The Foundations of Computability Theory
This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and f…
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- 1
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- 978-3-662-62421-0
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- XXI, 422
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Programs as Diagrams
It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions. In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; prog…
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- 1
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- 978-3-031-34827-3
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- XVII, 252, 1 b/w illustrations
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- Theory and Applications of Computability
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A First Course in Random Matrix Theory for Physicists, Engineers and Data Sc…
The real world is perceived and broken down as data, models and algorithms in the eyes of physicists and engineers. Data is noisy by nature and classical statistical tools have so far been successful in dealing with relatively smaller levels of randomness. The recent emergence of Big Data and the required computing power to analyse them have rendered classical tools outdated and insufficient. T…
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- 9781108768900
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Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isomet…
This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well …
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- 9783319442716
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- VII, 50 halaman
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- ICME-13 Topical Surveys
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- 510 SWO e
Coupled Multiscale Simulation and Optimization in Nanoelectronics
Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functiona…
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- 9783662466728
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- 510
The Finite Element Method and Applications in Engineering Using ANSYS®
This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contain…
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- 1
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- 978-1-4899-7550-8
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- XIV, 657, 475 b/w illustrations
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Nice Numbers
In this intriguing book, John Barnes takes us on a journey through aspects of numbers much as he took us on a geometrical journey in Gems of Geometry. Similarly originating from a series of lectures for adult students at Reading and Oxford University, this book touches a variety of amusing and fascinating topics regarding numbers and their uses both ancient and modern. The author informs and…
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- 1
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- 978-3-319-46830-3
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- XIII, 329
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