26.2 Abstract Algebra, Papers and Shorter Works 26.2.1 Automorphism. 363Ģ6 ABSTRACT ALGEBRA 26.1 Abstract Algebra, Books and Longer Works 26.1.1 Automorphism. 362 25.2 Topology and Geometry, books and longer works. Ģ5 TOPOLOGY and GEOMETRY 362 25.1 Topology and Geometry. 342 24 PROBABILITY, RANDOM, STATISTICS, 24.1 Bayes. 319 23 PHYSICS 23.1 Astrophysics, books and longer works 23.2 Optics, books and longer works. 21.3 Medical, books and longer works 21.4 Neuro, books and longer works. Ģ0 LOGIC 303 20.1 Logic, books and longer works. 18.7 Transportation, books and longer works. 18.2 Industrial Organization, books and longer works. 278 18 INDUSTRIAL and APPLIED MATHEMATICS 18.1 Control. 277 17 HISTORY OF SCIENCE, HISTORY OF MATH 278 17.1 History of Science, History of Math, books and longer works. 249 15 GAME THEORYġ6 GRAPH THEORY and DISCRETE MATH 267 16.1 Graph Theory, books and longer works. 247 14 GEOPHYSICAL SCIENCE, CLIMATE MODELING 248 14.1 Geophysical Science, Climate Modeling, books and longer works. 244 13 FRACTIONAL DIMENSION, INTEGRODIFFERENTIATION OF ARBITRARY ORDER 245 13.1 Fractional Dimension, books and longer works. 238 12 FLOWS, FLUID, WATER, WAVES 12.1 Flows. ġ1 FINANCIAL 238 11.1 Financial, books and longer works. 10.3 Construction, books and longer works. ġ0 ENGINEERING, MATERIALS, MECHANICS 10.1 Automobile, books and longer works.
9.8 Piezoelectricity and Energy Harvesting 9.9 Robots, books and longer works. Remote Sensing and Compressed Sensing, books and longer works Signals. Image processing, books and longer works. worksĮxpert System and Machine Learning, books and longer works. 7.4 Data and Search, books and longer works 7.5 Expert System and Machine Learning.
ħ COMPUTER and COMPUTING 7.1 Applications, books and longer works. 6.2 Spectroscopy, books and longer works. Ħ CHEMISTRY 6.1 Chemistry, books and longer works. Ĥ APPROXIMATIONS, NUMERICAL METHODS 4.1 Approximations, Numerical Methods, books and longer works. 2.6 Analysis, books and longerģ APPLIED ANALYSIS 3.1 Applied Analysis, books and longer works. These ideas have considerable scope for further development, and a list of problems and lines of research is included.Math reading list 2015, a survey of the literature Stephen Cox, B.S., University of Central Florida, Orlando, Florida, USA December 19, 2015ġ AEROSPACE 1.1 Aerospace, books and longer works. This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are "visually fractal", i.e. The last and most original part of the book introduces the notion of a "view" as part of a framework for studying the structure of sets within a given space. Hutchinson's invariant sets (sets composed of smaller images of themselves) is developed, with a study of when such a set is tiled by its images and a classification of many invariant sets as either regular or residual. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures.
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