Interval Linear Algebra

Interval Linear Algebra PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731266
Category : Mathematics
Languages : en
Pages : 249

Get Book Here

Book Description
Interval Arithmetic, or Interval Mathematics, was developed in the 1950s and 1960s as an approach to rounding errors in mathematical computations. However, there was no methodical development of interval algebraic structures to this date.This book provides a systematic analysis of interval algebraic structures, viz. interval linear algebra, using intervals of the form [0, a].

Interval Linear Algebra

Interval Linear Algebra PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731266
Category : Mathematics
Languages : en
Pages : 249

Get Book Here

Book Description
Interval Arithmetic, or Interval Mathematics, was developed in the 1950s and 1960s as an approach to rounding errors in mathematical computations. However, there was no methodical development of interval algebraic structures to this date.This book provides a systematic analysis of interval algebraic structures, viz. interval linear algebra, using intervals of the form [0, a].

Interval Methods for Systems of Equations

Interval Methods for Systems of Equations PDF Author: A. Neumaier
Publisher: Cambridge University Press
ISBN: 052133196X
Category : Mathematics
Languages : en
Pages : 275

Get Book Here

Book Description
Mathematics of Computing -- Numerical Analysis.

Introduction to Interval Analysis

Introduction to Interval Analysis PDF Author: Ramon E. Moore
Publisher: SIAM
ISBN: 089871771X
Category : Mathematics
Languages : en
Pages : 223

Get Book Here

Book Description
An update on the author's previous books, this introduction to interval analysis provides an introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.

Interval Analysis

Interval Analysis PDF Author: Günter Mayer
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110499460
Category : Mathematics
Languages : en
Pages : 532

Get Book Here

Book Description
This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation. Contents Preliminaries Real intervals Interval vectors, interval matrices Expressions, P-contraction, ε-inflation Linear systems of equations Nonlinear systems of equations Eigenvalue problems Automatic differentiation Complex intervals

Introduction to Interval Computation

Introduction to Interval Computation PDF Author: Gotz Alefeld
Publisher: Academic Press
ISBN: 0080916368
Category : Mathematics
Languages : en
Pages : 352

Get Book Here

Book Description
This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material.

Algebraic Structures Using Natural Class of Intervals

Algebraic Structures Using Natural Class of Intervals PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731355
Category : Mathematics
Languages : en
Pages : 172

Get Book Here

Book Description


Linear Algebra As An Introduction To Abstract Mathematics

Linear Algebra As An Introduction To Abstract Mathematics PDF Author: Bruno Nachtergaele
Publisher: World Scientific Publishing Company
ISBN: 9814723797
Category : Mathematics
Languages : en
Pages : 209

Get Book Here

Book Description
This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.

Methods and Applications of Interval Analysis

Methods and Applications of Interval Analysis PDF Author: Ramon E. Moore
Publisher: SIAM
ISBN: 9781611970906
Category : Mathematics
Languages : en
Pages : 190

Get Book Here

Book Description
This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing.

Algebraic Structures Using Super Inter Interval Matrices

Algebraic Structures Using Super Inter Interval Matrices PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731533
Category : Mathematics
Languages : en
Pages : 289

Get Book Here

Book Description


College Algebra

College Algebra PDF Author: Jay Abramson
Publisher:
ISBN: 9789888407439
Category : Mathematics
Languages : en
Pages : 892

Get Book Here

Book Description
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory