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"This book offers a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. Includes nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts. Included in the presentation are, a section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter, thorough discussions of the analytical methods used to solve many types of integral equations, an introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations, over 80 illustrative examples that are explained in meticulous detail, nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts, and guides to computation to assist the student with particularly complicated algorithmic procedures."

"Designed to offer applied mathematicians, physicists, chemists, engineers, geophysicists, and other scientists an elementary level explanation of integral equations of the first kind. It maintains a casual, conversational approach. The book emphasizes understanding, while deliberately avoiding special methods of highly limited application."

"Annotation These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well asan overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions."

"This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory."

"The interconnection between probability and analysis also plays a central role in the present book. However, this book approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M. Kac's problems, the principle of imperceptibility of the boundary, signal theory). The essential part of the book is dedicated to problems of statistical physics (classical and quantum cases). We consider the corresponding statistical problems (Gibbs-type formulas, non-extensive statistical mechanics, Boltzmann equation) from the game point of view (the game between energy and entropy). One chapter is dedicated to the construction of special examples instead of existence theorems (D. Larson's theorem, Ringrose's hypothesis, the Kadison-Singer and Gohberg-Krein questions). This book also investigate the Bezoutiant operator. "

"ABSTRAKModel regresi sederhana dengan loncatan dalam peubah respon Y adalah gabungan dua atau lebih segmen garis regresi dimana segmen garis yang berdekatan mempunyai koefisien regresi yang berbeda. Titik pemisah antara dua segmen dinamakan posisi loncatan. Metode pendeteksi loncatan yang akan dibahas dalam paper ini didasarkan pada penggunaan regresi non parametrik dengan taksiran kuadrat terkecil. "