Algebraic Geometry

Download E-books Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics) PDF

Based on a direction given to proficient high-school scholars at Ohio collage in 1988, this e-book is basically a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It properly bridges the distance among conventional books on topology/analysis and extra really good treatises on fractal geometry. The e-book treats such subject matters as metric areas, degree conception, measurement concept, or even a few algebraic topology. It takes into consideration advancements within the material seeing that 1990. Sections are transparent and targeted. The e-book includes lots of examples, routines, and reliable illustrations of fractals, together with sixteen colour plates.

Show description

Read or Download Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics) PDF

Similar Algebraic Geometry books

Fractured Fractals and Broken Dreams: Self-Similar Geometry through Metric and Measure (Oxford Lecture Series in Mathematics and Its Applications)

Fractal styles have emerged in lots of contexts, yet what precisely is a development? How can one make distinct the buildings mendacity inside gadgets and the relationships among them? This booklet proposes new notions of coherent geometric constitution to supply a clean method of this regularly occurring box. It develops a brand new idea of self-similarity known as "BPI" or "big items of itself," which makes the sector a lot more uncomplicated for individuals to go into.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The speculation of elliptic curves is uncommon by way of its lengthy heritage and by way of the range of the tools which were utilized in its research. This booklet treats the mathematics method in its sleek formula, by utilizing easy algebraic quantity concept and algebraic geometry. Following a quick dialogue of the mandatory algebro-geometric effects, the publication proceeds with an exposition of the geometry and the formal crew of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and international fields.

A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228)

This ebook introduces the idea of modular varieties, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner thought; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms.

Extra resources for Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

Show sample text content

Rated 4.64 of 5 – based on 12 votes