FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World


 Title: The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
 Author(s) Keith B. Oldham and Jerome Spanier
 Publisher: Dover Publications (April 28, 2006); eBook (Internet Archive Edition)
 License(s): Public Domain Mark 1.0
 Paperback: 234 pages
 eBook: PDF
 Language: English
 ASIN/ISBN10: 0486450015
 ISBN13: 9780486450018
 Share This:
Book Description
Not only does it explain the theory (Fractional Calculus) underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied.
About the Authors Keith B. Oldham is Professor of Chemistry at Trent University in Ontario, and Jerome Spanier is a research mathematician at the University of California at Irvine.
 Calculus and Mathematical Analysis
 Fractal Geometry and Fractals
 Geometry and Topology
 Differential Equations and Dynamical Systems
 The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
 The Mirror Site (1)  PDF
 The Relationship between Fractional Calculus and Fractal (Frank B. Tatom)

Special Functions: Fractional Calculus and the Pathway for Entropy
This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics. This analysis revealed a nonGaussian signal with harmonic content.

Fractal Geometry: Mathematical Foundations and Applications
This book has become a seminal text on the mathematics of Fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines.

Fractal Geometry (Mark McClure, et al.)
Fractal geometry is a new way of looking at the world. This book combines text and graphics to offer the most accessible amount that any reader is likely to find, helping in the overall move toward scientific literacy.

A Tale of Two Fractals (A.A. Kirillov)
This book provides an original treatment of Fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. It is designed to give young, nonspecialist mathematicians a solid foundation in the theory of fractals.

Fractals in Probability and Analysis (Christopher J. Bishop, et al.)
This is a mathematically rigorous introduction to Fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability. Chapters are designed to be read independently.

Strange Attractors: Creating Patterns in Chaos (Julien C. Sprott)
This book describes a simple method for generating an endless succession of beautiful Fractal patterns by iterating simple maps and ordinary differential equations with coefficients chosen automatically by the computer.

Conformal Fractals: Ergodic Theory Methods (Feliks Przytycki, ...)
This is a onestop introduction to the methods of Ergodic Theory applied to holomorphic iteration. Focus on the field of 1dimensional holomorphic iterations and underlying Fractal sets, from the point of view of geometric measure theory and rigidity.

Chaos and Fractals (Larry Bradley)
This book provides the reader with an elementary introduction to Chaos and Fractals, suitable for readers with a background in elementary algebra, without assuming prior coursework in calculus or physics.

Random Fractals (Peter Morters)
Random Fractals are the method of choice when it comes to modelling landscapes, clouds and other natural phenomena. Describes the fundamentals of random fractals and some of the basic methods for their generation.

The Fractal Geometry of Nature (Benoit Mandelbrot)
Explore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, etc.
:






















