Banach Limit and Applications

Banach Limit and Applications
Author: Gokulananda Das
Publisher: CRC Press
Total Pages: 182
Release: 2021-10-25
Genre: Mathematics
ISBN: 1000467627

Banach Limits and Applications provides all the results in the area of Banach limit, its extensions, generalizations and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in the year 1932 , are scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Branch Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large number, Fourier series, uniform distribution of sequences, uniform density, core theorems, functional Banach limits are discussed in this book. Discovery of functional analysis such as Hahn-Banach theorem, Banach-Steinhaus Theorem helped the researchers to develop a modern, rich and unified theory of sequence spaces by enveloping classical summability theory via matrix transformation and the topics related to sequence spaces arose from the concept of Banach limit are presented in this book. The unique features of this book are as follows: It contains all the results in this area at one place which are scattered till now. The book is first of its kinds in the sense that there is no other competitive book . The contents of this monograph did not appear in any book form before. The audience of this book are the researchers in this area, the Ph.D. and advanced Masters students. The book is suitable for one or two semester course work for Ph. D. students, M.S. Students of North America and Europe, M. Phil and Masters Students of India.

Modeling and Applications in Operations Research

Modeling and Applications in Operations Research
Author: Jyotiranjan Nayak
Publisher: CRC Press
Total Pages: 285
Release: 2023-11-29
Genre: Technology & Engineering
ISBN: 1003802796

The text envisages novel optimization methods that significantly impact real-life problems, starting from inventory control to economic decision-making. It discusses topics such as inventory control, queueing models, timetable scheduling, fuzzy optimization, and the Knapsack problem. The book’s content encompass the following key aspects: Presents a new model based on an unreliable server, wherein the convergence analysis is done using nature-inspired algorithms. Discusses the optimization techniques used in transportation problems, timetable problems, and optimal/dynamic pricing in inventory control. Highlights single and multi-objective optimization problems using pentagonal fuzzy numbers. Illustrates profit maximization inventory model for non-instantaneous deteriorating items with imprecise costs. Showcases nature-inspired algorithms such as particle swarm optimization, genetic algorithm, bat algorithm, and cuckoo search algorithm. The text covers multi-disciplinary real-time problems such as fuzzy optimization of transportation problems, inventory control with dynamic pricing, timetable problem with ant colony optimization, knapsack problem, queueing modeling using the nature-inspired algorithm, and multi-objective fuzzy linear programming. It showcases a comparative analysis for studying various combinations of system design parameters and default cost elements. It will serve as an ideal reference text for graduate students and academic researchers in the fields of industrial engineering, manufacturing engineering, production engineering, mechanical engineering, and mathematics.

Mathematics Across Cultures

Mathematics Across Cultures
Author: Helaine Selin
Publisher: Springer Science & Business Media
Total Pages: 489
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401143013

Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Orissa Society of Americas 35th Annual Convention Souvenir

Orissa Society of Americas 35th Annual Convention Souvenir
Author:
Publisher: Odisha Society of the Americas
Total Pages: 242
Release:
Genre:
ISBN:

Orissa Society of Americas 35th Annual Convention Souvenir for Convention held in 2004 at Dallas, Texas re-published as Golden Jubilee Convention July 4-7, 2019 Atlantic City, New Jersey commemorativ edition. Odisha Society of the Americas Golden Jubilee Convention will be held in Atlantic City, New Jersey during July 4-7, 2019. Convention website is http://www.osa2019.org. Odisha Society of the Americas website is http://www.odishasociety.org

Mathematical Methods in Dynamical Systems

Mathematical Methods in Dynamical Systems
Author: S. Chakraverty
Publisher: CRC Press
Total Pages: 508
Release: 2023-05-19
Genre: Mathematics
ISBN: 1000833801

The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.

Integral Inequalities and Generalized Convexity

Integral Inequalities and Generalized Convexity
Author: Shashi Kant Mishra
Publisher: CRC Press
Total Pages: 531
Release: 2023-09-18
Genre: Mathematics
ISBN: 1000952096

The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus. The book contains integral inequalities of Hermite-Hadamard type, Hermite- Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions. Features: Covers Interval-valued calculus, Time scale calculus, Stochastic processes – all in one single book Numerous examples to validate results Provides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitioners Applications of some special means of real numbers are also discussed The book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area.