An elementary introduction to hypergeometric functions is provided, focusing on their generalization of standard elementary functions. The textbook features numerous solved exercises, catering to a broad audience, including undergraduate students in mathematics, physics, and engineering. It emphasizes hypergeometric functions of a real variable, requiring only foundational knowledge of real analysis as a prerequisite.
Focusing on an elementary introduction to number theory, this textbook covers a variety of topics including approximation of real numbers, irrationality, continued fractions, and Diophantine equations. With 12 chapters and over 200 solved exercises, it is designed for undergraduates, graduate students, and high school mathematics teachers. The clear and concise presentation makes it accessible to anyone interested in the intriguing field of number theory.
Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. This textbook may be used by undergraduates and graduate students.