This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering.To benefit most from the book, st...

This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number...

Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students' under

This book reviews the evolution, development, and application of medicinal compounds, beginning with their historical context and advancing to modern innovations. The book describes the therapeutic potential of bioactive compounds from microorganisms, the role of antioxidants and anti-inflammatory agents in managing chronic diseases, and the use of small molecules in pain management and mental healthcare. It further explores immunomodulatory compounds, epigenetic modifiers, and the latest ...