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This conference proceedings book consists of selected papers presented at the 2nd International Conference on Mathematical Analysis and Applications (MAA 2025), held at the Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand, India, from 6 to 7 August 2025. It presents peer-reviewed research and survey papers in the recent topics of mathematical analysis that cover a broad range of areas including approximation theory, operator theory, function spaces, complex analysis, geometric and univalent function theory, control theory, fractional calculus, special functions, operation research, theory of inequalities, Fourier and wavelet analysis, mathematical physics, graph theory, stochastic orders, and numerical analysis. Some chapters discuss the applications in real-life situations. The book will be beneficial for researchers and students in the field of pure and applied mathematics.