Debnath P. Advanced Mathematical Analysis and its Applications 2023

Textbook in PDF and DJVU formats

Advanced Mathematical Analysis and its Applications presents state-of-the-art developments in mathematical analysis through new and original contributions and surveys, with a particular emphasis on applications in engineering and mathematical sciences. New research directions are indicated in each of the chapters, and while this book is meant primarily for graduate students, there is content that will be equally useful and stimulating for faculty and researchers.
The readers of this book will require minimum knowledge of real, complex, and functional analysis, and topology.
Features:
Suitable as a reference for graduate students, researchers, and faculty
Contains the most up-to-date developments at the time of writing.
The first half of the book (Chapters 1–11) are dedicated to the study of fixed point theory and applications. Chapters 12–17 present recent advancements in fractional calculus. Periodic Dirichlet series and special functions are studied in Chapter 18, whereas Lotka–Volterra dynamical system and its discretization are presented in Chapter 19. Chapter 20 contains a study on pseudomonotone equilibrium problems. In Chapter 21, convergence analysis of an inertial alternating minimization algorithm is discussed. Ball convergence has been studied in Chapter 22. An interesting investigation on inner product trapezoid type inequalities in Hilbert spaces is available in Chapter 23. Finally, Chapters 24 and 25 present theory and applications of some generalized random variables.
This book is meant for graduate students, faculties and researchers working in mathematical analysis and its applications. New research directions are suggested within most of the chapters to enable the researchers to further advance their research