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"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. "

"ABSTRAK Dalam tugas akhir ini dibahas mengenai sifat irrotationaldan solenoidal yang terdapat pada persamaan Maxwell. Teoriyang digunakan adalah analisa vektor dan teorema-teorema padadiferensial dan integral. Pembahasan terdiri dari anti inatematis dari persarnaanMaxwell, bentuk integral dari persamaan Maxwell dan sedikitaplikasi pada persarnaan gelombang."

"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."

"ABSTRAK Integral Henstock-Kurzweil merupakan hasil dari perkembangan integral Riemann. Dalam tulisan ini akan ditunjukkan bagaimana sifat-sifat integral Riemann dan Integral Henstock-Kurzweil dari fungsi bernilai di ruang Banach. Selain itu, akan ditunjukkan perbandingan antara integral Riemann dan integral Henstock-Kurzweil untuk fungsi bernilai di ruang Banach berdimensi takhingga.

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ABSTRAK Henstock-Kurzweil integrable is Generalized Riemann integrable. In this paper, will show the property of Riemann integrable and Henstockk-Kurzweil integrable of function Banach-valued. And comparison Riemann integrable and Henstock- Kurzweil integrable for infinite Banach space."

"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."