Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

Books Journals

Introductory Analysis

1st Edition
June 14, 2000
Richard J. Bagby
English
eBook
9 7 8 0 0 8 0 5 4 9 4 2 2

Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.

Linear Algebra and Linear Operators in Engineering

1st Edition
Volume 3
June 12, 2000
H. Ted Davis + 1 more
English
eBook
9 7 8 0 0 8 0 5 1 0 2 4 8

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics.

Difference Equations

2nd Edition
May 5, 2000
Walter G. Kelley + 1 more
English
Hardback
9 7 8 0 1 2 4 0 3 3 3 0 6

Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.

Computable Structures and the Hyperarithmetical Hierarchy

1st Edition
Volume 144
June 16, 2000
C.J. Ash + 1 more
English
eBook
9 7 8 0 0 8 0 5 2 9 5 2 3

This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).

Handbook of Applied Multivariate Statistics and Mathematical Modeling

1st Edition
April 26, 2000
Howard E.A. Tinsley + 1 more
English
eBook
9 7 8 0 0 8 0 5 3 3 5 6 8

Multivariate statistics and mathematical models provide flexible and powerful tools essential in most disciplines. Nevertheless, many practicing researchers lack an adequate knowledge of these techniques, or did once know the techniques, but have not been able to keep abreast of new developments. The Handbook of Applied Multivariate Statistics and Mathematical Modeling explains the appropriate uses of multivariate procedures and mathematical modeling techniques, and prescribe practices that enable applied researchers to use these procedures effectively without needing to concern themselves with the mathematical basis. The Handbook emphasizes using models and statistics as tools. The objective of the book is to inform readers about which tool to use to accomplish which task. Each chapter begins with a discussion of what kinds of questions a particular technique can and cannot answer. As multivariate statistics and modeling techniques are useful across disciplines, these examples include issues of concern in biological and social sciences as well as the humanities.

Handbook of Algebra

1st Edition
Volume 2
April 6, 2000
M. Hazewinkel
English
Hardback
9 7 8 0 4 4 4 5 0 3 9 6 1
eBook
9 7 8 0 0 8 0 5 3 2 9 6 7

Algebra of Polynomials

1st Edition
Volume 5
April 1, 2000
Hans Lausch + 1 more
English

Statistical Aspects of Water Quality Monitoring

1st Edition
Volume 27
September 22, 2011
A.H. El-Shaarawi + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 0 1 8 2

This volume contains selected papers from the ``Workshop on the Statistical Aspects of Water Quality Monitoring'', held on October 7-10 1985, at the National Water Research Institute in Burlington, Ontario, Canada. The prime objective of the Workshop was to generate interaction between the statistical community and scientists working in the area of Water Quality Monitoring. To this end, topics covered in this Workshop fall into two categories: (1) Methods Development, and (2) the Imaginative Application of Existing Methodologies. Subjects covered include: Time Series, Estimation of Loading, Clustering, Model Development, Censoring Data Analysis, Quality Control and Data Acquisition.In the area of environmental sciences, statistical applications are still in their infancy, with few attempts to systematically develop techniques dealing with environmental issues. The publication of this book is one step towards identifying appropriate statistical techniques and diagnosing problems in Water Quality Monitoring which require new statistical methodologies. The papers presented in this volume represent international expertise, consolidating detailed information on both conventional and new methods.

Provability, Computability and Reflection

1st Edition
Volume 13
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 0 0 8 0 9 5 7 3 3 3

Provability, Computability and Reflection

1st Edition
Volume 20
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 0 0 8 0 9 5 7 4 0 1

Studies in Logic publishes monographs and occasionally edited volumes in the area of mathematical logic and its applications.

Related subjects

Mathematics and applied mathematics

Statistics and probability

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health

Books in Mathematics

Introductory Analysis

Linear Algebra and Linear Operators in Engineering

Difference Equations

Computable Structures and the Hyperarithmetical Hierarchy

Handbook of Applied Multivariate Statistics and Mathematical Modeling

Handbook of Algebra

Algebra of Polynomials

Statistical Aspects of Water Quality Monitoring

Provability, Computability and Reflection

Provability, Computability and Reflection

Related subjects