# Related eBooks

##### An Introduction to Sobolev Spaces

eISBN: 978-1-68108-913-3

ISBN: 978-1-68108-914-0

**Introduction**

Sobolev spaces were firstly defined by the Russian mathematician, Sergei L. Sobolev (1908-1989) in the 1930s. Several properties of these spaces have been studied by mathematicians until today. Functions that ....

##### Analysis and Optimal Control of Phase-Field Transition System: Fractional Steps Methods

eISBN: 978-1-60805-350-6

ISBN: 978-1-60805-647-7

**Introduction**

All developments in mathematics and computer science facilitate development of industrial applications. This e-book approaches the subject in a profoundly interdisciplinary manner. The spectrum of subjects covered in this e-book ....

##### Applied Computational Mathematics in Social Sciences

eISBN: 978-1-60805-089-5

ISBN: 978-1-60805-009-3

**Introduction**

Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate ....

##### Calculus: The Logical Extension of Arithmetic

eISBN: 978-1-68108-203-5

ISBN: 978-1-68108-204-2

**Introduction**

Understanding Calculus as a Logical Extension of Arithmetic re-examines the calculus paradigm by expanding the set of ‘indeterminate forms’ espoused by l’Hôpital 320 years ago. Starting from the 54 possible ....

##### Complex Analyses in Engineering, Science and Technology

eISBN: 978-1-68108-042-0

ISBN: 978-1-68108-043-7

**Introduction**

Complex Analysis for Science and Technology is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The book begins with an introduction to basic ....

##### Concepts and Recent Advances in Generalized Information Measures and Statistics

eISBN: 978-1-60805-760-3

ISBN: 978-1-60805-761-0

**Introduction**

1. Since the introduction of the information measure widely known as Shannon entropy, quantifiers based on information theory and concepts such as entropic forms and statistical complexities have proven to ....

##### Convergence Theorems for Lattice Group-Valued Measures

eISBN: 978-1-68108-009-3

ISBN: 978-1-68108-010-9

**Introduction**

Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the ....

##### Differential and Integral Calculus Theory and Cases

eISBN: 978-981-14-6512-3

ISBN: 978-981-14-6510-9

**Introduction**

<p></p> Differential and Integral Calculus - Theory and Cases is a complete textbook designed to cover basic calculus at introductory college and undergraduate levels. Chapters provide information about calculus fundamentals ....

##### Discrete Calculus By Analogy

eISBN: 978-1-60805-086-4

ISBN: 978-1-60805-662-0

**Introduction**

Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral inequality with an independent parameter. In ....

##### Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

eISBN: 978-1-60805-291-2

ISBN: 978-1-60805-610-1

**Introduction**

This e-book presents several research areas of elliptical problems solved by differential equations. The mathematical models explained in this e-book have been contributed by experts in the field and can ....