Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
            
  Top » Catalog » Books » Mathematics and Statistics » My Account  |  Cart Contents  |  Checkout   
Quick Find
  
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Effectiveness of Ace Inhibitors and ARBs in Heart Disease Treatment
$275.00
Shopping Cart more
0 items
Information
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Bestsellers
01.Algebra for Athletes 2nd Edition
02.Advanced Mathematics for Engineers with Applications in Stochastic Processes
03.Pseudo-Matroids and Cuts of Matroids
04.Dynamic Fuzzy Logic and its Applications
05.Advanced Mathematics for Engineers with Applications in Stochastic Processes
06.How to Solve Problems: New Methods and Ideas
07.Introduction to Graph and Hypergraph Theory
08.Engineering Perspectives of Human Society: Application of Control Theory, Game Theory, and Information Theory to Social Phenomena
09.Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing
10.The Mathematics of the Periodic Table
Notifications more
NotificationsNotify me of updates to Foundations and Applications of Variational and Perturbation Methods
Tell A Friend
 
Tell someone you know about this product.
Foundations and Applications of Variational and Perturbation Methods
Retail Price: $130.00
10% Online Discount
You Pay:

$117.00
Authors: S. Raj Vatsya (Senior Research Officer, National Research Council of Canada) 
Book Description:
Variational and perturbation methods, together with their hybrids, are the most widely used techniques employed by applied mathematicians, physical scientists and engineers. This book presents the topic as a unified and coherent discipline encompassing the problem specific procedures. Usable results are deduced, rigorously increasing their clarity, reliability and scope of their applications. The concepts are developed from the premise assuming that the background of the reader is one expected of an advanced undergraduate student in scientific and applied mathematics discipline and is presumed to increase the accessibility and appeal to students and researchers in a broad range of areas. In this text, material scattered in literature is collected together and a number of results available so far only in the journal papers and specialized monographs included. The concepts and their contents are illustrated with comments and examples to facilitate their comprehension. The results and techniques to exploit them are illustrated by a copious use of worked out examples from a broad range of disciplines, constituting about half of the volume. The examples are selected to illustrate the applications of the results, each to a class of problems. A discerning reader can use suitable results and techniques illustrated in this text to solve a specific problem encountered. The applications part is aimed at filling the void between the foundational and the computational literature.

Table of Contents:
Preface
I. Foundations

1. Integration and vector spaces
1.i. Preliminaries
1.ii. Integration
1.ii.1. Basic Concepts
1.ii.2. Integration over trajectories
1.iii. Vector spaces

2. Operators in vector spaces
2.i. Operators in Banach Spaces
2.ii. Operators in Hilbert spaces
2.iii. Forms in Hilbert spaces
2.iv. Integral transforms
2.v. Differential operators

3. Variational methods
3.i. Formulation
3.ii. Convergence
3.ii.1. Basic results
3.ii.2. Compact operators
3.ii.3. Bounded operators
3.ii.4. Semi-bounded operators
3.ii.5. Unbounded operators
3.iii. Padé approximants
3.iii.1. Formulation
3.iii.2. Representations
3.iii.3. Convergence and applications
3.iv. Monotonic convergence
3.iv.1. Diagonal forms
3.iv.2. Eigenvalues

4. Perturbation methods
4.i. Perturbed operator
4.ii. Spectral perturbation
4.ii.1. Resolvent and point spectrum
4.ii.2. Continuous spectrum
4.iii. Spectral differentiation
4.iv. Iteration

II. Applications

5. Matrices
5.i. Tridiagonal matrices
5.ii. Structured matrices
5.iii. Conjugate residual-like methods

6. Atomic systems
6.i. Preliminaries
6.ii. Eigenvalues and critical points
6.ii.1. Helium atom
6.ii.2. Short range potentials
6.iii. Scattering
6.iii.1. Formulation
6.iii.2. Born series
6.iii.3. Schwinger’s method
6.iii.4. Hulthén-Kohn methods
6.iii.5. Rotated Hamiltonians

7. Supplementary examples
7.i. Ray tomography
7.ii. Maxwell’s equations
7.iii. Positivity lemma for the elliptic operators
7.iii.1. Basic results
7.iii.2. Applications
7.iv. Transport and propagation
7.iv.1. Reaction-diffusion
7.iv.2. Heat transfer
7.iv.3. Radiative transfer
7.iv.4. Turbulent diffusion
7.iv.5. Optical beam propagation
7.v. Quantum theory

References

Index

   Binding: Hardcover
   Pub. Date: 2009
   Pages: 7 x 10, 337 pp.
   ISBN: 978-1-60692-591-1
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
Customers who bought this product also purchased
Radiation Biophysics (Ionizing Radiations)
Radiation Biophysics (Ionizing Radiations)
China's Trade with the United States and the World
China's Trade with the United States and the World
A Guide to the Economics and Fiscal Performance of the Federal Government (1976-2007)
A Guide to the Economics and Fiscal Performance of the Federal Government (1976-2007)
New Concepts, Ideas, and Innovations in Aerospace and Technology and Human Science
New Concepts, Ideas, and Innovations in Aerospace and Technology and Human Science
A System Architecture Approach to the Brain: From Neurons to Consciousness
A System Architecture Approach to the Brain: From Neurons to Consciousness
Autonomous Robots Research Advances
Autonomous Robots Research Advances
Special Focus Titles
01.The Bronze Mask: Protagonists of English Literature
02.Biotechnological Applications of Seaweeds
03.The Lonely Ape that Told Himself Stories: The Necessity of Stories for Human Survival
04.Different Aspects on Chemotherapy of Trypanosomatids
05.Pediatric Surgery Handbook for Residents and Medical Students
06.Fighting for a Gender[ed] Identity: An Ethnographic Examination of White Collar Boxers
07.Blood Viscosity: Its Role in Cardiovascular Pathophysiology and Hematology
08.Neonatal and Perinatal Mortality: Global Challenges, Risk Factors and Interventions
09.Trichotillomania (Hair Pulling Disorder): Clinical Characteristics, Psychological Interventions and Emotional Effects
10.Thyroid Nodules and Cancer: A Simplified Case Oriented Approach
11.Biliary Diseases with Pancreatic Counterparts: A New Disease Concept
12.SAFETY & PERFORMANCE
Total Respect Management (TR3M): A Novel Approach to Achieve Safety and Performance Proactively in Any Organisation

Nova Science Publishers
© Copyright 2004 - 2017

Foundations and Applications of Variational and Perturbation Methods