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The Elements of Cantor Sets - Robert W. Vallin - Bog - John Wiley & Sons Inc - Plusbog.dk

The Elements of Cantor Sets - Robert W. Vallin - Bog - John Wiley & Sons Inc - Plusbog.dk

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature by providing an introductory and integrated perspective, thereby preparing readers for further study and building a deeper understanding of analysis, topology, set theory, number theory, and algebra. The Elements of Cantor Sets provides coverage of: - - Basic definitions and background theorems as well as comprehensive mathematical details - - A biography of Georg Ferdinand Ludwig Philipp Cantor, one of the most significant mathematicians of the last century - - Chapter coverage of fractals and self-similar sets, sums of Cantor Sets, the role of Cantor Sets in creating pathological functions, p -adic numbers, and several generalizations of Cantor Sets - - A wide spectrum of topics from measure theory to the Monty Hall Problem - An ideal text for courses in real analysis, topology, algebra, and set theory for undergraduate and graduate-level courses within mathematics, computer science, engineering, and physics departments, The Elements of Cantor Sets is also appropriate as a useful reference for researchers and secondary mathematics education majors.

DKK 776.00
3

Mathematical Foundations of Fuzzy Sets - Hsien Chung Wu - Bog - John Wiley & Sons Inc - Plusbog.dk

Mathematical Foundations of Fuzzy Sets - Hsien Chung Wu - Bog - John Wiley & Sons Inc - Plusbog.dk

Mathematical Foundations of Fuzzy Sets Introduce yourself to the foundations of fuzzy logic with this easy-to-use guide Many fields studied are defined by imprecise information or high degrees of uncertainty. When this uncertainty derives from randomness, traditional probabilistic statistical methods are adequate to address it; more everyday forms of vagueness and imprecision, however, require the toolkit associated with ''fuzzy sets'' and ''fuzzy logic''. Engineering and mathematical fields related to artificial intelligence, operations research and decision theory are now strongly driven by fuzzy set theory. Mathematical Foundations of Fuzzy Sets introduces readers to the theoretical background and practical techniques required to apply fuzzy logic to engineering and mathematical problems. It introduces the mathematical foundations of fuzzy sets as well as the current cutting edge of fuzzy-set operations and arithmetic, offering a rounded introduction to this essential field of applied mathematics. The result can be used either as a textbook or as an invaluable reference for working researchers and professionals. Mathematical Foundations of Fuzzy Sets offers thereader: - - Detailed coverage of set operations, fuzzification of crisp operations, and more - - Logical structure in which each chapter builds carefully on previous results - - Intuitive structure, divided into ''basic'' and ''advanced'' sections, to facilitate use in one- or two-semester courses - Mathematical Foundations of Fuzzy Sets is essential for graduate students and academics in engineering and applied mathematics, particularly those doing work in artificial intelligence, decision theory, operations research, and related fields.

DKK 906.00
1

Ones and Zeros - Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets - Bog af John R. Gregg - Paperback

Ones and Zeros - Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets - Bog af John R. Gregg - Paperback

Mathematics Ones and Zeros Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets Ones and Zeros explains, in lay terms, Boolean algebra, the suprisingly simple system of mathematical logic used in digital computer circuitry. Anecdotal in style and often funny, Ones and Zeros follows the development of this logic system from its origins in Victorian England to its rediscovery in this century as the foundation of all modern computing machinery. Readers will learn about the interesting..

DKK 926.95
2

Data Science in Theory and Practice - Osei Kofi Tweneboah - Bog - John Wiley & Sons Inc - Plusbog.dk

Data Science in Theory and Practice - Osei Kofi Tweneboah - Bog - John Wiley & Sons Inc - Plusbog.dk

DATA SCIENCE IN THEORY AND PRACTICE EXPLORE THE FOUNDATIONS OF DATA SCIENCE WITH THIS INSIGHTFUL NEW RESOURCE Data Science in Theory and Practice delivers a comprehensive treatment of the mathematical and statistical models useful for analyzing data sets arising in various disciplines, like banking, finance, health care, bioinformatics, security, education, and social services. Written in five parts, the book examines some of the most commonly used and fundamental mathematical and statistical concepts that form the basis of data science. The authors go on to analyze various data transformation techniques useful for extracting information from raw data, long memory behavior, and predictive modeling. The book offers readers a multitude of topics all relevant to the analysis of complex data sets. Along with a robust exploration of the theory underpinning data science, it contains numerous applications to specific and practical problems. The book also provides examples of code algorithms in R and Python and provides pseudo-algorithms to port the code to any other language. Ideal for students and practitioners without a strong background in data science, readers will also learn from topics like: Analyses of foundational theoretical subjects, including the history of data science, matrix algebra and random vectors, and multivariate analysisA comprehensive examination of time series forecasting, including the different components of time series and transformations to achieve stationarityIntroductions to both the R and Python programming languages, including basic data types and sample manipulations for both languagesAn exploration of algorithms, including how to write one and how to perform an asymptotic analysisA comprehensive discussion of several techniques for analyzing and predicting complex data sets Perfect for advanced undergraduate and graduate students in Data Science, Business Analytics, and Statistics programs, Data Science in Theory and Practice will also earn a place in the libraries of practicing data scientists, data and business analysts, and statisticians in the private sector, government, and academia.

DKK 987.00
4

Hadamard Matrices - Jennifer Seberry - Bog - John Wiley & Sons Inc - Plusbog.dk

Hadamard Matrices - Jennifer Seberry - Bog - John Wiley & Sons Inc - Plusbog.dk

Up-to-date resource on Hadamard matrices Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including: Gauss sums, Jacobi sums and relative Gauss sumsCyclotomic numbersPlug-in matrices, arrays, sequences and M-structureGalois rings and Menon Hadamard differences setsPaley difference sets and Paley type partial difference setsSymmetric Hadamard matrices, skew Hadamard matrices and amicable Hadamard matricesA discussion of asymptotic existence of Hadamard matricesMaximal determinant matrices, embeddability of Hadamard matrices and growth problem for Hadamard matrices The book can be used as a textbook for graduate courses in combinatorics, or as a reference for researchers studying Hadamard matrices. Utilized in the fields of signal processing and design experiments, Hadamard matrices have been used for 150 years, and remain practical today. Hadamard Matrices combines a thorough discussion of the basic concepts underlying the subject matter with more advanced applications that will be of interest to experts in the area.

DKK 711.00
4