This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan's mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics.

Chapter 1. Multiple Gamma Functions and Multiple Hurwitz Zeta Functions.- Chapter 2. Recent Topics on Fixed Point Theory and its Applications.- Chapter 3. Quantizations with and without symmetries.- Chapter 4. Some systems of multivariate orthogonal polynomials.- Chapter 5. Inverse Source problems for Partial Differential Equations involving Fractional Derivatives.- Chapter 6. On Hermite-Fejer Interpolation of Functions of Bounded Variation.- Chapter 7. Step Forward in Fractional Calculus: Theory, Methods and Applications.- Chapter 8. Recent Results on Fractional Order Chaotic Systems.- Chapter 9. Quadratic reciprocity and Riemann's non-differentiable function.- Chapter 10. Integrability theorem for Weyl Algebra and its relation with the Heisenberg Uncertainty Principle.- Chapter 11. Beta Functions Of First And Double Summation Formulae.- Chapter 12. Non-Linear Differential Polynomials Sharing Small Function With Finite Weight.- Chapter 13. On the Inverse of Pesudi-Differential Operators on S1.- Chapter 14. Certain Image Formulas Of Generalized K-Bessel Function.- Chapter 15. Polar Coordinate Form of Bicomplex Number System In Clifford Analysis.- Chapter 16. Existence Theorems Of Generalized Quasi-Variational-Like Inequalities For Upper Hemi-Continuous And Pseudo-Monotone Type Ii Operators On Non-Compact Sets.- Chapter 17. Certain Class Of Meromorphically Multivalent Functions Defined By A Differential Operator.- Chapter 18. An Extension Of The Shannon Wavelet For Numerical Solution Of Integro-Differential Equations.- Chapter 19. A Problem with Two Nonlocal Boundary Conditions for a Mixed Type Equation with Singular Coefficient.- Chapter 20. The Univalently Solvability Of One Nonlocal Boundary Value Problem With Variable Coeffcients For The Mixed Type Equation Of The Second Kind Of The Second Order In A Rectangle.- Chapter 21. A Study of Generalized Fractional Differentiation for Saigo Operators Involving a Multivariable Polynomial, H-Function and the Aleph Function.- Chapter 22. Graphical and Database Analysis of Generalized K-Mittag-Leer Function with MATLAB Implementation.