Topological Complexity of Smooth Random Functions

This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s–1960s. The original methods and constructions from these works are properly

There are examples aplenty in the macroscopic world that demonstrate the form of objects directing their functions and properties. On the other hand, the fabrication of extremely small objects having

The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and mod

This is the second volume of "A Course in Analysis" and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as

This is the second volume of "A Course in Analysis" and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed a

Halsey L. Royden's Real Analysis has contributed to educating generations of mathematical analysis students. The 5th Edition of this classic text presents some important updates while presenting the measure theory, integration theory and elements of metric, topological, Hilbert and Banach spaces that a modern analyst should know. Part I continues to consider Lebesgue measure and integration for functions of a real variable. In this revision, the treatment of general measure and integration is moved to Part II rather than Part III; material formerly in Part II is placed in Part III and a brief Part IV. This brings measure and integration on Euclidean space closer to their origin, the case of real variables; it also presents the opportunity to foreshadow more strongly, in the context of general measure and integration, concepts which later appear in general spaces. The text assumes an undergraduate course on the fundamental concepts of analysis.