This book explores how various compactness conditions—like compactness, local compactness, and total boundedness—affect the structure and behavior of topological rings, combining methods from topology and algebra.
Introduction to Fourier Analysis and Wavelets by Mark A. Pinsky provides a rigorous yet accessible introduction to the core concepts of Fourier analysis, with a natural transition into the theory of wavelets. The book is suitable for advanced undergraduate or beginning graduate students in mathematics, physics, or engineering. It covers classical Fourier series, the Fourier transform, and discr…
This introductory differential equations book is one of the first to integrate technology throughout the text. Using a computer algebra system (CAS) helps students to solve problems (both specific and general cases), to reason spatially through visualization, to compare changing variables and parameters, to make inferences, and to evaluate outcomes. Students learn how and when to use technology…
An accessible, calculus-based introduction to setting up and analyzing probabilistic models of real-world phenomena. This second edition adds updated and expanded chapters, numerous worked examples, and exercises (with solutions at the end), making it well-suited for undergraduates in mathematics, engineering, and related fields.
Adams Calculus is intended for the three semester calculus course.Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of applications across the sciences. The Fifth Edition features the inclusion of…