4-Manifolds (Oxford Graduate Texts in Mathematics) by Selman Akbulut

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An technique through Randers areas" solely bargains with a distinct category of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the examine on basic Relativity idea and feature been utilized in lots of components of the normal sciences.

Mathematical Concepts

The most goal of this e-book is to explain and boost the conceptual, structural and summary deliberating arithmetic. particular mathematical buildings are used to demonstrate the conceptual process; delivering a deeper perception into mutual relationships and summary universal beneficial properties. those rules are conscientiously inspired, defined and illustrated through examples in order that a few of the extra technical proofs will be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a sequence of Monographs on natural and utilized arithmetic, quantity VII: smooth basic Topology makes a speciality of the tactics, operations, rules, and methods hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The book first elaborates on set, cardinal and ordinal numbers, simple suggestions in topological areas, and numerous topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal capabilities, Fractal Surfaces, and Wavelets, moment variation, is the 1st systematic exposition of the speculation of neighborhood iterated functionality platforms, neighborhood fractal features and fractal surfaces, and their connections to wavelets and wavelet units. The publication is predicated on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and likelihood theory—to introduce readers to this intriguing topic.