Theory of Fuzzy Differential Equations and Inclusions (Mathematical Analysis and Applications)

Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.

Science & Math

Lakshmikantham, V.

Mohapatra, Ram N.

Mathematics

CRC-Press

Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.

Explains basic statistical methods and their most efficient applications to biomedical data. Includes microcomputer programs in BASIC that can accomplish the computational tasks called for in the text. Explains programs in full and applies them directly to specific procedures. Methods examined range from simple descriptive statistics, tabulation and graphical representation, to linear regression and the comparison of data from different sources. Distinguishes between methods appropriate to qualitative and quantitative data. Includes worked examples and numerous illustrations.

Biomedical Statistics with Computing (Medical Computing Series)

Medical Books

Regier, Mary H.

Mohapatra, Surya N.

Medicine

wiley

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Frontiers in Interpolation and Approximation (Pure and Applied Mathematics)

Computers & Technology

Nashed, Zuhair

Govil, N. K.

Mhaskar, H. N.

Szabados, J.

Computer Science

Chapman and Hall/CRC

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Books by Mohapatra, Ram N.