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Fractional Calculus: An Introduction For Physicists (2nd Edition) (英语) 精装 – 2014年3月5日

by Richard Herrmann (作者)

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Latest Edition: Fractional Calculus: An Introduction for Physicists (3rd Edition)The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.The contents are devoted to the application of fractional calculus to physical problems. The fractional concept is applied to subjects in classical mechanics, group theory, quantum mechanics, nuclear physics, hadron spectroscopy and quantum field theory and it will surprise the reader with new intriguing insights.This new, extended edition now also covers additional chapters about image processing, folded potentials in cluster physics, infrared spectroscopy and local aspects of fractional calculus. A new feature is exercises with elaborated solutions, which significantly supports a deeper understanding of general aspects of the theory. As a result, this book should also be useful as a supporting medium for teachers and courses devoted to this subject.

基本信息

出版社: World Scientific Publishing Co Pte Ltd; 2nd Revised edition (2014年3月5日)
精装: 500页
语种： 英语
ISBN: 9814551074
条形码: 9789814551076
商品尺寸: 15.2 x 2.7 x 22.9 cm
商品重量: 417 g
ASIN: 9814551074
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商品描述

Introduction; Functions; The Fractional Derivative; Friction Forces; Fractional Calculus; The Fractional Harmonic Oscillator; Wave Equations and Parity; Nonlocality and Memory Effects; The Generalized Fractional Derivative; Fractional Calculus in Multidimensional Space - 3D-Folded Potentials; Quantum Mechanics; The Fractional Schrodinger Equation with the Infinite Well Potential; Uniqueness of a Fractional Derivative; Fractional Spin - A Property of Particles Described with the Fractional Schrodinger Equation; Factorization; Symmetries; The Fractional Symmetric Rigid Rotor; Q-Deformed Lie Algebras and Fractional Calculus; Infrared Spectroscopy of Diatomic Molecules; Fractional Spectroscopy of Hadrons; Magic Numbers in Atomic Nuclei; Magic Numbers in Metal Clusters; Fractors - Fractional Tensor Calculus; Fractional Fields; Gauge Invariance in Fractional Field Theories; On the Origin of Space; Outlook.

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美国亚马逊： 3 条评论

Book_Reader

Does not teach anything

2016年6月13日 - 已在美国亚马逊上发表

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Unfortunately, this book is mostly a collection of formulas that generalize well known calculus results.
All motivation looks overstated. The book does not answer the main question: Why a scientist should learn this huge set of formulas?
In my opinion, some of the topics are not that empty. For example, q-deformed oscillator algebra has real and beautiful applications in mathematical physics but I did not find anything like that in this book.

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Kindle Customer

Five Stars

2014年8月21日 - 已在美国亚马逊上发表

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Very comprehensive and well wiritten. A classic in the making !

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Jack

Wonderful book and actually somewhat easy to understand

2015年3月2日 - 已在美国亚马逊上发表

Got this from my library, but just had to say it here. Wonderful book and actually somewhat easy to understand, and I'm not even a math major (Electrical engineering, physics minor, sophomore). It's really a shame this isn't emphasized more in university math courses (Only a few of my school's math professors had even heard of it and my engineering professors thought I was talking crazy) because it's really cool and gives a great new way to think about it, and some really neat ways to make some problems that I run into in my EE classes much clearer.

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