Skip to main content
Elsevier
View Cart
openUserAccount

Books in Analysis

BooksJournals
1-10 of 42 results in All results

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

  • 1st Edition
  • February 10, 2022
  • Robert B. Gardner + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 9 8 8 - 4
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 2 0 0 7 - 1
Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

Advanced Mathematics for Engineering Students

  • 1st Edition
  • May 20, 2021
  • Brent J. Lewis + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 2 3 6 8 1 - 9
  • eBook
    9 7 8 - 0 - 1 2 - 8 2 3 6 8 2 - 6
Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox” for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

  • 1st Edition
  • February 5, 2018
  • Dumitru Motreanu
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 3 3 8 6 - 6
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 3 3 9 3 - 4
Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references.

Ulam Stability of Operators

  • 1st Edition
  • January 4, 2018
  • Janusz Brzdek + 3 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 0 9 8 2 9 - 5
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 9 8 3 0 - 1
Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations.

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

  • 1st Edition
  • January 4, 2018
  • Abraham Ungar
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 7 7 3 - 6
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 1 7 7 4 - 3
Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ∈ N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein’s special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas.

Means in Mathematical Analysis

  • 1st Edition
  • September 14, 2017
  • Gheorghe Toader + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 0 8 0 - 5
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 1 0 8 1 - 2
Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works (edited volumes), bringing together an extensive body of information. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences.

Computational Analysis of Structured Media

  • 1st Edition
  • September 11, 2017
  • Simon Gluzman + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 0 4 6 - 1
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 1 0 4 7 - 8
Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices.

Calculus and Its Applications

  • 1st Edition
  • May 12, 2014
  • P. Mainardi + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 9 5 6 0 - 5
Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Elementary Calculus

  • 1st Edition
  • May 12, 2014
  • P.R. Masani + 2 more
  • Ralph P. Boas
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 7 4 8 9 - 8
Elementary Calculus presents a three semester introductory course on calculus. This book reveals the conceptual development of the calculus, taking into cognizance the technical and applied sides and standards of clarity and rigor that prevail in mathematics. The topics discussed include the basic laws of numbers, classification of real functions, and concept of instantaneous velocity. The limits of functions defined on intervals, derivatives of the trigonometric functions, and standard logarithmic function are also reviewed. This text likewise considers integration by substitution, lengths of plane curves, and simple harmonic motion. This publication is designed for students who have a knowledge of elementary trigonometry, and either have had a one semester course on analytic or coordinate geometry or might take such a course with calculus.

Mathematical Analysis Fundamentals

  • 1st Edition
  • March 6, 2014
  • Agamirza Bashirov
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 0 2 6 9 - 5
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 1 0 5 0 - 1
The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.