

Applied Vector Analysis Matiur Rahman
Isaac Mulolani Publisher: CRC Press

Allied Health
Demonstrates practical applications of vector analysis while providing sufficient theoretical background
Contains a logical pedagogy, which starts with the basic definition of terms and ends with rigorous applications
States that the Poynting vector plays a significant role in evaluating electromagnetic energy
Derives Jacobian transformation with regard to the divergence of fluid flow velocity
Uses powerful tensor calculus to determine the scale factor in orthogonal coordinate systems
Covers new topics, such as orthogonal curvilinear coordinates, scale factor via metric tensor, particle paths, streamlines, streaklines, and the material derivative of a Jacobian
Includes over 175 exercises, 100 solved examples, and 120 line drawings
In engineering and applied science, the practical problems that arise are often described using mathematical models. In order to interpret these figures and make a judicious decision relating to such problems, engineers and scientists need ample knowledge of vector analysis. Illustrating the application of vector analysis to physical problems, this new edition of Applied Vector Analysis expands its coverage of the field to encompass new concepts, such as the divergence theorem, position vectors, and Berouilli's equation. It provides the grounding in vector analysis engineers and scientists require with an emphasis on practical applications
This userfriendly volume is divided into seven chapters, each providing a clear manifestation of theory and its application to reallife problems. Beginning with a brief historical background of vector calculus, the authors introduce the algebra of vectors using a single variable. Within this framework, the book goes on to discuss the Del operator, which plays a significant role in displaying physical problems in mathematical notation. Chapter 6 contains important integral theorems, such as Green's theorem, Stokes theorem, and divergence theorem. Specific applications of these theorems are described using selected examples in fluid flow, electromagnetic theory, and the Poynting vector in Chapter 7. The appendices supply important vector formulas at a glance and mathematical explanations to selected examples from within the text.
One of the most valuable branches of mathematics, vector analysis is pertinent to the investigation of physical problems encountered in many disciplines. Using realworld applications, concise explanations of fundamental concepts, and extensive examples, Applied Vector Analysis, Second Edition provides a clear cut exposition of the fields' practical uses.






 

