Hardback
April 6, 2018 Forthcoming by Apple Academic Press
Reference - 352 Pages
ISBN 9781771886994
Provides a comprehensive study of spectral theory of linear operators defined on Banach spaces
Includes various essential spectra, but the author also considers some of the generalizations that have been studied
Presents a survey of results concerning various types of essential spectra and pseudospectra in a unified, axiomatic way
Discusses essential spectra, essential pseudospectra, structured essential pseudospectra, and their relative sets
Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been studied.
In recent years, spectral theory has witnessed an explosive development. This volume presents a survey of results concerning various types of essential spectra and pseudospectra in a unified, axiomatic way and also discusses several topics that are new but which relate to the concepts and methods emanating from the book. The main topics include essential spectra, essential pseudospectra, structured essential pseudospectra, and their relative sets.
This volume will be very useful for several researchers since it represents not only a collection of previously heterogeneous material but also includes discussions of innovation through several extensions. As the spectral theory of operators is an important part of functional analysis and has numerous applications in many areas of mathematics, the author suggests that some modest prerequisites from functional analysis and operator theory should be in place to be accessible to newcomers and graduate students of mathematics.
Introduction
Fundamentals
Spectra
Perturbation of Unbounded Linear Operators by Relative Boundedness
Essential Spectra
S-Essential Spectra of Closed Linear Operator on a Banach Space
S-Essential Spectrum and Measure of Non-Strict-Singularity
S-Pseudospectra and Structured S-Pseudospectra
Structured Essential Pseudospectra
Structured Essential Pseudospectra and Measure of Noncompactness
A Characterization of the Essential Pseudospectra
Conditional Pseudospectra
Hardback
July 15, 2018
Reference - 420 Pages - 50 B/W Illustrations
ISBN 9781138495784 -
This book enables one to understand some of the interconnections between number theory and algebra.
The revised edition has the potential for adoption as a class-room text suitable for senior Under-graduate students who wish to specialize in number theory or algebra or as a reference text for beginning graduate student.
The strong point is: Learn algebra via number theory and vice-versa.
Some of the contents of the original edition are recast in chapters of short length and presentation made precise.
The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.
Instructors
We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.
From Euclid to Lucas. Solutions of Congruences, Primitive Roots. The Chinese Remainder Theorem. Mobius Inversion. Quadratic Residues. Decomposition of a Number as a Sum of Two or Four Squares. Modular Arithmetical Functions. Dirichlet Algebra of Arithmetical Functions. Ramanujan Sums: I. Ramanujan Sums: II.
Series:De Gruyter Textbook
Paperback
Publication Date: 2018 March 2018
ISBN 978-3-11-052462-8
Covers key definitions and techniques in single variable calculus.
Presents derivations of theorems in separate sections.
Employs graphical and numerical approaches to explain concepts.
Concise and adapted to studentsf learning behaviors.
The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, definite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning difficulties, making it suitable for students and lecturers in mathematics, physics and engineering.
Details 24.0 x 17.0 cm
x, 414 pages 100 Fig. 0 Tables
Language: English
Type of Publication: Textbook
Subjects Mathematics > Analysis
Series:De Gruyter Studies in Mathematical Physics 44
Hardcover
Publication Date: May 2018
ISBN 978-3-11-058509-4
This monograph offers a concise overview of the theoretical description of various collective phenomena in condensed matter physics. These effects include the basic electronic structure in solid state physics, lattice vibrations, superconductivity, light-matter interaction and more advanced topics such as martensitic transistions.
Details 24.0 x 17.0 cm
xx, 350 pages 173 Fig.
Language: English
Type of Publication: Monograph
Subjects
Physics > Condensed Matter Physics
Physics > Quantum Physics
Physics > Electromagnetism, Optics and Photonics
Series:De Gruyter Expositions in Mathematics 65
The definitive source of information and open problems in finite group theory.
Contains hundreds of original exercises (with solutions for the more difficult ones).
Includes an extended list of about 1000 open problems.
This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1?5 and it is suitable for researchers and graduate students working in group theory.
Details 24.0 x 17.0 cm
Approx. xii, 400 pages
Language: English
Type of Publication: Monograph
Subjects
Mathematics > Algebra and Number Theory
ISBN: 978-1-118-86359-6
Aug 2018
220 pages
This book provides an excellent reference for applied researchers without getting too technical about the statistical background. Using an example based approach, topics such as includerobustness, expectiles, linear programming, decomposition and constrained optimization are featured along with graphical representations to illustrate each method. Examples from biostatistics and environmetrics as well as economics and finance are also featured.