Obote: Second Liberation

History

Gupta, Vijay

Africa

Stosius Inc/Advent Books Division

Applications of q-Calculus in Operator Theory

Science & Math

Agarwal, Ravi P.

Aral, Ali

Mathematics

Springer

AN INTRODUCTION TO MECHANICS OF MATERIALS attempts to deal with the subject as an engineering science with a clear elaboration of the central scheme of dealing with this subject, namely, delinking the geometry aspects of the subject from the materials aspects. This is achieved by using explicitly the three-step scheme of macro (forces) to micro (stresses) conversion, transforming at the micro level (from stresses to strains), and then converting back to the macro level (deformations), or vice versa. Another aspect which has been emphasised considerably is the construction of idealized models of the physical structures such that they are amenable to analysis with the mathematical tools available with a beginning engineering student. The level of mathematics used has been kept at the very minimum, without sacrificing the rigour. In the belief that not all readers would have sufficient familiarity with the engineering aspects of many applications discussed, considerable amount of details about these have been included wherever feasible.

An Introduction to Mechanics of Materials

Physics

Alpha Science

This text, written as an introduction to fluid mechanics for students of all engineering disciplines, emphasizes fluid flow phenomena and their modelling. The level of mathematics is kept at the minimum so that a student can pay full attention to the complexities of the fundamental physical concepts and develop a physical feel of the subject. Common misapplications, misunderstandings and over-generalizations made by students are anticipated and cautioned against. Relatively newer and simpler treatments have been used in several topics such as Euler acceleration formula, Reynolds transport theorem and Bernoulli equation, and a new unified treatment of modelling, similitude and the basis of approximations has been presented. A preview of fluid flow phenomena in Chapter 1 and an overview in the epilogue are included. A whole array of applications from diverse engineering disciplines has been introduced through numerous solved examples and over five hundred carefully graded problems. In this new edition, Chapter 9 on Similitude and Modelling has been re-written so as to make it easier to understand, and suggestions of several users have been incorporated.
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Fluid Mechanics and Its Applications

Gupta, Santosh K.

New Academic Science

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics.  Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators. 

Recent Advances in Constructive Approximation Theory (Springer Optimization and Its Applications, 138)

Rassias, Themistocles M.

Agrawal, P. N.

Acu, Ana Maria

Moments of Linear Positive Operators and Approximation (SpringerBriefs in Mathematics)

Rassias, Michael Th.

The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new and more efficient methods of applying this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches.

Convergence Estimates in Approximation Theory

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.

Approximation with Positive Linear Operators and Linear Combinations (Developments in Mathematics, 50)

Tachev, Gancho

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of  real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.  

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