Home eBooks Download › the founders of index theory

The Founders Of Index Theory

Download The Founders Of Index Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Founders Of Index Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

The Founders Of Index Theory

DOWNLOAD
Author : Shing-Tung Yau
language : en
Publisher:
Release Date : 2009

The Founders Of Index Theory written by Shing-Tung Yau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

Index Theory is one of the most exciting and consequential accomplishments of 20th-century mathematics. This book contemplates the four great mathematicians who developed index theory - Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I M Singer. It presents a variety of material of a personal as well as mathematical nature. This second edition of Founders of Index Theory remembers the late and much beloved Raoul Bott - in the affectionate words of those three men, as well as family members and long-time friends and colleagues. What emerges is the portrait of a compelling mathematical mind informed by a warm and magnetic personality that was both a joy and inspiration to those who knew him. This volume includes a generous collection of color and black-and-white photographs - many rarely seen - of the four principal figures together with their family, friends, and colleagues. The Founders of Index Theory, Second Edition is a valuable portrayal of four men who transformed mathematics in a profound manner, and who belong to a class of researchers whose interest and influence transcend the conventional boundaries of mathematical fields.

Index Theory

DOWNLOAD
Author : Michael Francis Atiyah (Mathematician, Great Britain)
language : en
Publisher:
Release Date : 1988

Index Theory written by Michael Francis Atiyah (Mathematician, Great Britain) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Collected Works Michael Atiyah Collected Works

DOWNLOAD
Author : Michael Atiyah
language : de
Publisher: Oxford University Press
Release Date : 1988-04-28

Collected Works Michael Atiyah Collected Works written by Michael Atiyah and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-28 with Biography & Autobiography categories.

This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses index theory.

Michael Atiyah Collected Works

DOWNLOAD
Author : Michael Atiyah
language : en
Publisher: Oxford University Press
Release Date : 1988-04-28

Michael Atiyah Collected Works written by Michael Atiyah and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-28 with Biography & Autobiography categories.

This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses index theory.

Index Theory Beyond The Fredholm Case

DOWNLOAD
Author : Alan Carey
language : en
Publisher: Springer Nature
Release Date : 2022-11-30

Index Theory Beyond The Fredholm Case written by Alan Carey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Mathematics categories.

This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case'. Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein's spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly. The book is aimed at experts in index theory as well as newcomers to the field.

Index Theory

DOWNLOAD
Author : Michael Francis Atiyah
language : de
Publisher:
Release Date :

Index Theory written by Michael Francis Atiyah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematicians categories.

Higher Index Theory

DOWNLOAD
Author : Rufus Willett
language : en
Publisher: Cambridge University Press
Release Date : 2020-07-02

Higher Index Theory written by Rufus Willett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-02 with Mathematics categories.

A friendly introduction to higher index theory, a rapidly-developing subject at the intersection of geometry, topology and operator algebras. A well-balanced combination of introductory material (with exercises), cutting-edge developments and references to the wider literature make this book a valuable guide for graduate students and experts alike.