R. K. Pandey – författare

Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with such equations and their relevance and significance in engineering. Special Functions in Fractional Calculus and Engineering highlights the significance and applicability of special functions in solving fractional-order differential equations with engineering applications. This book focuses on the non-local nature and memory effect of fractional calculus in modeling relevant to engineering science and covers a variety of important and useful methods using special functions for solving various types of fractional-order models relevant to engineering science. This book goes on to illustrate the applicability and usefulness of special functions by justifying their numerous and widespread occurrences in the solution of fractional-order differential, integral, and integrodifferential equations.This book holds a wide variety of interconnected fundamental and advanced topics with interdisciplinary applications that combine applied mathematics and engineering sciences, which are useful to graduate students, Ph.D. scholars, researchers, and educators interested in special functions, fractional calculus, mathematical modeling, and engineering.

Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with such equations and their relevance and significance in engineering. Special Functions in Fractional Calculus and Engineering highlights the significance and applicability of special functions in solving fractional-order differential equations with engineering applications. This book focuses on the non-local nature and memory effect of fractional calculus in modeling relevant to engineering science and covers a variety of important and useful methods using special functions for solving various types of fractional-order models relevant to engineering science. This book goes on to illustrate the applicability and usefulness of special functions by justifying their numerous and widespread occurrences in the solution of fractional-order differential, integral, and integrodifferential equations.This book holds a wide variety of interconnected fundamental and advanced topics with interdisciplinary applications that combine applied mathematics and engineering sciences, which are useful to graduate students, Ph.D. scholars, researchers, and educators interested in special functions, fractional calculus, mathematical modeling, and engineering.

The first textbook to provide in-depth treatment of electroceramics with emphasis on applications in microelectronics, magneto-electronics, spintronics, energy storage and harvesting, sensors and detectors, magnetics, and in electro-optics and acousto-optics

Electroceramics is a class of ceramic materials used primarily for their electrical properties. This book covers the important topics relevant to this growing field and places great emphasis on devices and applications. It provides sufficient background in theory and mathematics so that readers can gain insight into phenomena that are unique to electroceramics. Each chapter has its own brief introduction with an explanation of how the said content impacts technology. Multiple examples are provided to reinforce the content as well as numerous end-of-chapter problems for students to solve and learn. The book also includes suggestions for advanced study and key words relevant to each chapter.

Fundamentals of Electroceramics: Materials, Devices and Applications offers eleven chapters covering: 1.Nature and types of solid materials; 2. Processing of Materials; 3. Methods for Materials Characterization; 4. Binding Forces in Solids and Essential Elements of Crystallography; 5. Dominant Forces and Effects in Electroceramics; 6. Coupled Nonlinear Effects in Electroceramics; 7. Elements of Semiconductor; 8. Electroceramic Semiconductor Devices; 9. Electroceramics and Green Energy; 10.Electroceramic Magnetics;  and 11. Electro-optics and Acousto-optics.

Provides an in-depth treatment of electroceramics with the emphasis on fundamental theoretical concepts, devices, and applications with focus on non-linear dielectrics 

Fundamentals of Electroceramics: Materials, Devices and Applications is an invaluable academic textbook that will benefit all students, professors, researchers, scientists, engineers, and teachers of ceramic engineering, electrical engineering, applied physics, materials science, and engineering.

The first textbook to provide in-depth treatment of electroceramics with emphasis on applications in microelectronics, magneto-electronics, spintronics, energy storage and harvesting, sensors and detectors, magnetics, and in electro-optics and acousto-optics

Electroceramics is a class of ceramic materials used primarily for their electrical properties. This book covers the important topics relevant to this growing field and places great emphasis on devices and applications. It provides sufficient background in theory and mathematics so that readers can gain insight into phenomena that are unique to electroceramics. Each chapter has its own brief introduction with an explanation of how the said content impacts technology. Multiple examples are provided to reinforce the content as well as numerous end-of-chapter problems for students to solve and learn. The book also includes suggestions for advanced study and key words relevant to each chapter.

Fundamentals of Electroceramics: Materials, Devices and Applications offers eleven chapters covering: 1.Nature and types of solid materials; 2. Processing of Materials; 3. Methods for Materials Characterization; 4. Binding Forces in Solids and Essential Elements of Crystallography; 5. Dominant Forces and Effects in Electroceramics; 6. Coupled Nonlinear Effects in Electroceramics; 7. Elements of Semiconductor; 8. Electroceramic Semiconductor Devices; 9. Electroceramics and Green Energy; 10.Electroceramic Magnetics;  and 11. Electro-optics and Acousto-optics.

Provides an in-depth treatment of electroceramics with the emphasis on fundamental theoretical concepts, devices, and applications with focus on non-linear dielectrics 

Fundamentals of Electroceramics: Materials, Devices and Applications is an invaluable academic textbook that will benefit all students, professors, researchers, scientists, engineers, and teachers of ceramic engineering, electrical engineering, applied physics, materials science, and engineering.

The Encyclopaedia of Discrete Mathematics presents a through, Comprehensive Treatment of the subject using a Flexible Modular format. The Encyclopaedia is organized so that selected chapters in the book can either be studied together or used as a reference. The material in the Encyclopaedia is ideal for a freshman level in Computer Science or Mathematics. In addition, the author believes that the notion of proofs is important in most areas of study, and can be learned by any student, making it an effective alternative to the subject. The core of the Encyclopaedia consists of logical Reasoning ,Graph Theory, Binary Relations, Recurrence Relations, Combinatorics, Functions, Matrices. The remaining chapters can be selected according to individual course outlines.

The Encyclopaedia of Discrete Mathematics presents a through, Comprehensive Treatment of the subject using a Flexible Modular format. The Encyclopaedia is organized so that selected chapters in the book can either be studied together or used as a reference. The material in the Encyclopaedia is ideal for a freshman level in Computer Science or Mathematics. In addition, the author believes that the notion of proofs is important in most areas of study, and can be learned by any student, making it an effective alternative to the subject. The core of the Encyclopaedia consists of logical Reasoning ,Graph Theory, Binary Relations, Recurrence Relations, Combinatorics, Functions, Matrices. The remaining chapters can be selected according to individual course outlines.

This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. Shapes and Geometries: Analysis, Differential Calculus, and Optimization presents the extensive, recently developed theoretical foundation to shape optimization in a form that can be used by the engineering community. It also clearly explains the state-of-the-art developments in a mathematical language that will attract mathematicians to open questions in this important field.