ANTIEIGENVALUE ANALYSIS

With Applications To Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance And Optimization

By: GUSTAFSON KARL

Write A Review

Hardcover | 27 December 2011

At a Glance

Hardcover
260 Pages

Dimensions(cm)
22.86 x 15.24 x 1.6

Hardcover

RRP $171.99

$154.99

10%OFF

or 4 interest-free payments of $38.75 with

or

Ships in 15 to 25 business days

Karl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance.Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Mathematics

The Infinite Game

From the bestselling author of Start With Why

Paperback

RRP $29.99

$24.99

17%
OFF

Primary Mathematics

4th Edition - Integrating Theory with Practice

Paperback

RRP $122.95

$102.99

16%
OFF

How to Win At Chess

The Ultimate Guide for Beginners and Beyond

Hardcover

RRP $45.00

$35.75

21%
OFF

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $42.99

$32.99

23%
OFF

The Art of Gathering

How We Meet and Why It Matters

Paperback

RRP $26.99

$22.99

15%
OFF

The Selfish Gene

40th Anniversary Edition

Paperback

RRP $32.95

$26.99

18%
OFF

The Mending of Broken Bones

A Modern Guide to Classical Algebra

Hardcover

RRP $51.95

$40.75

22%
OFF

$Math with Bad Drawings : Illuminating the Ideas That Shape Our Reality - Ben Orlin$

Math with Bad Drawings

Illuminating the Ideas That Shape Our Reality

Paperback

RRP $32.99

$26.99

18%
OFF

$Math Games with Bad Drawings : 75 1/4 Simple, Challenging, Go-Anywhere Games & And Why They Matter - Ben Orlin$

$41.75

24%
OFF

Fooled By Randomness

The Hidden Role of Chance in Life and in the Markets

Paperback

RRP $26.99

$22.99

15%
OFF

Oxford Maths for Australian Schools Year 4 Value Pack : 3rd Edition - Annie Facchinetti

$24.99

17%
OFF

The Equation of Knowledge : From Bayes' Rule to a Unified Philosophy of Science - Lê Nguyên Hoang

$18.75

25%
OFF

Abel-Gontcharoff Pseudopolynomials and Stochastic Applications : ISTE Invoiced - Philippe Picard

$13.75

19%
OFF

Intro to Geometry

Grades 6 - 8

Paperback

RRP $24.99

$18.99

24%
OFF

Preface	p. ix
Introduction	p. 1
Perspective	p. 1
A Recent Referee Speaks	p. 2
The Original Motivation	p. 2
The Essential Entities	p. 3
Simple Examples and a Picture	p. 6
Applications to-Date	p. 9
Organization of this Book	p. 10
Commentary	p. 12
Exercises	p. 14
The Original Motivation: Operator Semigroups	p. 15
Perspective	p. 15
Abstract Initial Value Problems	p. 16
The Hille-Yosida-Phillips-Lumer Theorem	p. 17
The Rellich-Kato-Nelson-Gustafson Theorem	p. 17
The Multiplicative Perturbation Theorem	p. 18
When are Positive Operator Products Positive?	p. 20
Nonnegative Contraction Semigroups	p. 21
Commentary	p. 22
Exercises	p. 23
The Essentials of Antieigenvalue Theory	p. 25
Perspective	p. 25
Convexity Properties of Norm Geometry	p. 26
The Min-Max Theorem	p. 27
The Euler Equation	p. 33
Higher Antieigenvalues and Antieigenvectors	p. 39
The Triangle Inequality	p. 46
Extended Operator Trigonometry	p. 47
Commentary	p. 49
Exercises	p. 50
Applications in Numerical Analysis	p. 53
Perspective	p. 53
Gradient Descent: Kantorovich Bound is Trigonometric	p. 54
Minimum Residual Ax = b Solvers	p. 56
Richardson Relaxation Schemes (e.g. SOR)	p. 57
Very Rich Trigonometry Underlies ADI	p. 60
Domain Decomposition Multilevel Schemes	p. 61
Preconditioning and Condition Numbers	p. 63
Commentary	p. 55
Exercises	p. 67
Applications in Wavelets, Control, Scattering	p. 69
Perspective	p. 59
The Time Operator of Wavelets	p. 70
Frame Operator Trigonometry	p. 74
Wavelet Reconstruction is Trigonometric	p. 76
New Basis Trigonometry	p. 78
Trigonometry of Lyapunov Stability	p. 85
Multiplicative Perturbation and Irreversibility	p. 86
Commentary	p. 88
Exercises	p. 89
The Trigonometry of Matrix Statistics	p. 91
Perspective	p. 91
Statistical Efficiency	p. 91
The Euler Equation versus the Inefficiency Equation	p. 101
Canonical Correlations and Rayleigh Quotients	p. 105
Other Statistics Inequalities	p. 107
Prediction Theory: Association Measures	p. 112
Antieigenmatrices	p. 115
Commentary	p. 116
Exercises	p. 118
Quantum Trigonometry	p. 123
Perspective	p. 123
Bell-Wigner-CHSH Inequalities	p. 125
Trigonometric Quantum Spin Identities	p. 129
Quantum Computing: Phase Issues	p. 132
Penrose Twisters	p. 135
Elementary Particles	p. 142
Trigonometry of Quantum States	p. 144
Commentary	p. 152
Exercises	p. 153
Financial Instruments	p. 155
Perspective	p. 155
Some Remarks on Mathematical Finance	p. 161
Quantos: Currency Options	p. 167
Multi-Asset Pricing: Spread Options	p. 172
Portfolio Rebalancing	p. 175
American Options with Random Volatility	p. 177
Risk Measures for Incomplete Markets	p. 179
Commentary	p. 181
Exercises	p. 182
Other Directions	p. 183
Perspective	p. 183
Operators	p. 183
Angles	p. 186
Optimization	p. 189
Equalities	p. 191
Geometry	p. 194
Applications	p. 199
Commentary	p. 200
Exercises	p. 200
Linear Algebra	p. 203
Matrix Analysis	p. 203
Operator Theory	p. 204
Hints and Answers to Exercises	p. 205
Bibliography	p. 229
Index	p. 241
Table of Contents provided by Ingram. All Rights Reserved.

ANTIEIGENVALUE ANALYSIS

With Applications To Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance And Optimization

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematics

The Infinite Game

From the bestselling author of Start With Why

Primary Mathematics

4th Edition - Integrating Theory with Practice

How to Win At Chess

The Ultimate Guide for Beginners and Beyond

The Maths Book

Big Ideas Simply Explained

The Art of Gathering

How We Meet and Why It Matters

The Selfish Gene

40th Anniversary Edition

The Mending of Broken Bones

A Modern Guide to Classical Algebra

Math with Bad Drawings

Illuminating the Ideas That Shape Our Reality

Math Games with Bad Drawings

75 1/4 Simple, Challenging, Go-Anywhere Games & And Why They Matter

The Art of Uncertainty

How to Navigate Chance, Ignorance, Risk and Luck

Fooled By Randomness

The Hidden Role of Chance in Life and in the Markets

Oxford Maths for Australian Schools Year 4 Value Pack

3rd Edition

Maths in Focus 11 Mathematics Advanced Student Book with Nelson MindTap

Essays in Analysis

Routledge Revivals

Algebra Workbook Grades 6-8

Algebra

Woo's Wonderful World of Maths

The Equation of Knowledge

From Bayes' Rule to a Unified Philosophy of Science

Guide to Multiple Regression

Geometry

Grades 6 - 8

Abel-Gontcharoff Pseudopolynomials and Stochastic Applications

ISTE Invoiced

Metric Spaces

University Texts in the Mathematical Sciences

Mathematics of Deep Learning

Grade 4 Word Problems

Kumon Math Workbooks

Intro to Geometry

Grades 6 - 8

This product is categorised by