Practical Mathematics
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An Elementary Treatise on Fourier's Series And Spherical, Cylindrical, And
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The Young Mathematician’s Guide
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Tilings of the Plane
The aim of the book is to study symmetries and tesselation, which have long interested artists and mathematicians. Famous examples are the works created by the Arabs in the Alhambra and the paintings of the Dutch painter Maurits Escher. Mathematicians did not take up the subject intensively until the 19th century. In the process, the visualisation of mathematical relationships leads to very appealing images. Three approaches are described in this book.In Part I, it is shown that there are 17 principally different possibilities of tesselation of the plane, the so-called 'plane crystal groups'. Complementary to this, ideas of Harald Heesch are described, who showed how these theoretical results can be put into practice: He gave a catalogue of 28 procedures that one can use creatively oneself - following in the footsteps of Escher, so to speak - to create artistically sophisticated tesselation.In the corresponding investigations forthe complex plane in Part II, movements are replaced by bijective holomorphic mappings. This leads into the theory of groups of M繹bius transformations: Kleinian groups, Schottky groups, etc. There are also interesting connections to hyperbolic geometry.Finally, in Part III, a third aspect of the subject is treated, the Penrose tesselation. This concerns results from the seventies, when easily describable and provably non-periodic parquetisations of the plane were given for the first time.
Fuzzy Logic and Soft Computing
The present book contains 14 papers accepted and published in the Special Issue of the MDPI Mathematics journal, entitled "Fuzzy Logic and Soft Computing - Dedicated to the Centenary of the Birth of Lotfi A. Zadeh (1921-2017)", which covers a wide range of topics connected to the theory and applications of fuzzy logic and soft computing. More precisely, these topics include: mathematical programming problems with coefficients and/or decision variables expressed by fuzzy numbers; soft computing methods in a fuzzy environment; fuzzy inner product spaces; M-hazy vector spaces; interval ranges of fuzzy sets; arithmetic operations of fuzzy sets; gradual numbers; Interval-valued fuzzy soft sets; interval-valued fuzzy soft topology; preference relationships; L-fuzzy sub-effect algebras; Fuzzy differential subordinations; m-polar fuzzy set in semigroups; practical use of the marks; the fuzzy logic approach for decision-making systems in management control; multigranulation rough sets; the multigranulation roughness of an intuitionistic fuzzy set; decision-making algorithms, etc.We hope that this book will be useful for those who work in the domains of fuzzy logic and soft computing or for those who want to familiarize themselves with the most advanced knowledge in the field of fuzzy mathematics.
Fuzzy Decision Making and Soft Computing Applications
This Special Issue collects original research articles discussing cutting-edge work as well as perspectives on future directions in the whole range of theoretical and practical aspects in these research areas: i) Theory of fuzzy systems and soft computing; ii) Learning procedures; iii) Decision-making applications employing fuzzy logic and soft computing.
Differential Calculus
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A Strange Discovery
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Rational Amusement for Winter Evenings, Or, a Collection of Above 200 Curious and Interesting Puzzles and Paradoxes Relating to Arithmetic, Geometry, Geography, &c
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Differential Calculus
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Spons’ Dictionary of Engineering, Civil, Mechanical, Military, and Naval; With Technical Terms in French, German, Italian, and Spanish; Volume 3
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A Treatise On the Method of Least Squares
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The Romance of Modern Engineering
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Tales of the Castle
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On the Partial Difference Equations of Mathematical Physics
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Rational Amusement for Winter Evenings, Or, a Collection of Above 200 Curious and Interesting Puzzles and Paradoxes Relating to Arithmetic, Geometry, Geography, &c
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Graded Mental Arithmetic
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Einf羹hrung in das Studium der Theoretischen Physik
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Introduction to the Mathematical Theory of the Stress and Strain of Elastic Solids
Mathematical Tracts on the Lunar and Planetary Theories
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Lehrbuch der Arithmetik und Algebra fur Lehrer und Studirende
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A Practical System of Mensuration of Superficies and Solids
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Mathematical Tracts on the Lunar and Planetary Theories
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Introduction to the Mathematical Theory of the Stress and Strain of Elastic Solids
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Shop Mathematics
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Graded Mental Arithmetic
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Mathematical Philosophy
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The Tutor's Assistant
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Spons’ Dictionary of Engineering, Civil, Mechanical, Military, and Naval; With Technical Terms in French, German, Italian, and Spanish; Volume 3
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The Astrophysical Journal, Volumes 1-25
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Practical Mathematics
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On the Partial Difference Equations of Mathematical Physics
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Mathematics for the Practical Man
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Treatise on Conic Sections
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Theory And Application Of Infinite Series
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Mathematics for the Practical Man
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Researches Into the Mathematical Principles of the Theory of Wealth
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Principia Mathematica
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The Principles of Mathematics
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Principia Mathematica
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Researches Into the Mathematical Principles of the Theory of Wealth
Hydrodynamics
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A Primer of Higher Space (The Fourth Dimension)
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