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An Introduction to Mathematical Analysis
An Introduction to Mathematical Analysis
An elementary text on the theory of functions of one real variable this book is intended for students with a good understanding of calculus as it begins with material on the real number system as a Dedekind complete ordered field and continuous functions. Pointwise and uniform convergence of series of functions, power series are discussed...
Generalized Fractional Calculus: New Advancements and Applications (Studies in Systems, Decision and Control, 305)
Generalized Fractional Calculus: New Advancements and Applications (Studies in Systems, Decision and Control, 305)

This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and...

Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)
Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced...

Mathematics and Computation in Imaging Science and Information Processing
Mathematics and Computation in Imaging Science and Information Processing

Rapid advances in communication, sensing and computational power have led to an explosion of data. The usefulness of this resource for human knowledge is determined by its accessibility and portability, which present fresh challenges to existing techniques in terms of transmission, storage, querying, display and numerical manipulation. As a...

Computing for Numerical Methods Using Visual C++
Computing for Numerical Methods Using Visual C++
A visual, interdisciplinary approach to solving problems in numerical methods

Computing for Numerical Methods Using Visual C++ fills the need for a complete, authoritative book on the visual solutions to problems in numerical methods using C++. In an age of boundless research, there is a need for a programming language that can successfully...

Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis

This state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field, including cosmic microwave background analysis, human cortex image denoising, and wireless communication. The work is the first one that combines spline theory (from a numerical or...

Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis)
Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis)

This concisely written book gives an elementary introduction to a classical area of mathematics – approximation theory – in a way that naturally leads to the modern field of wavelets.  The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the...

The Calculus Gallery: Masterpieces from Newton to Lebesgue
The Calculus Gallery: Masterpieces from Newton to Lebesgue
More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and...
Data-Driven Modeling: Using MATLAB® in Water Resources and Environmental Engineering (Water Science and Technology Library)
Data-Driven Modeling: Using MATLAB® in Water Resources and Environmental Engineering (Water Science and Technology Library)

“Data-Driven Modeling: Using MATLAB® in Water Resources and Environmental Engineering” provides a systematic account of major concepts and methodologies for data-driven models and presents a unified framework that makes the subject more accessible to and applicable for researchers and practitioners. It integrates important...

Plastic Analysis and Design of Steel Structures
Plastic Analysis and Design of Steel Structures
Simple introduction to plastic analysis of complex steel structures

The plastic analysis method has been used extensively by engineers for designing steel structures. Simpler structures can be analyzed using the basic virtual work formulation, but more complex frames are evaluated with specialist computer software. This new
...
Meta-Learning in Computational Intelligence (Studies in Computational Intelligence)
Meta-Learning in Computational Intelligence (Studies in Computational Intelligence)

In the early days of pattern recognition and statistical data analysis life was rather simple: datasets were relatively small, collected from well-designed experiments, analyzed using a few methods that had good theoretical background. Explosive growth of the use of computers led to the creation of huge amounts of data of all kinds,...

Introduction to Finite Element Analysis Using MATLAB® and Abaqus
Introduction to Finite Element Analysis Using MATLAB® and Abaqus

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite...

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