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

Mathematical Tools for Applied Multivariate Analysis

1st Edition
November 28, 1976
Paul E. Green
English
eBook
9 7 8 1 4 8 3 2 1 4 0 4 7

Mathematical Tools for Applied Multivariate Analysis provides information pertinent to the aspects of transformational geometry, matrix algebra, and the calculus that are most relevant for the study of multivariate analysis. This book discusses the mathematical foundations of applied multivariate analysis. Organized into six chapters, this book begins with an overview of the three problems in multiple regression, principal components analysis, and multiple discriminant analysis. This text then presents a standard treatment of the mechanics of matrix algebra, including definitions and operations on matrices, vectors, and determinants. Other chapters consider the topics of eigenstructures and linear transformations that are important to the understanding of multivariate techniques. This book discusses as well the eigenstructures and quadratic forms. The final chapter deals with the geometric aspects of linear transformations. This book is a valuable resource for students.

Ergodic Theory and Topological Dynamics

1st Edition
Volume 70
November 15, 1976
James R. Brown
English
eBook
9 7 8 0 0 8 0 8 7 3 8 6 2

Quantum Detection and Estimation Theory

1st Edition
Volume 123
July 6, 1976
Helstrom
English
eBook
9 7 8 0 0 8 0 9 5 6 3 2 9

Spectral Synthesis

1st Edition
Volume 66
June 28, 1976
John J. Benedetto
English
eBook
9 7 8 0 0 8 0 8 7 3 8 2 4

Automata, Languages, and Machines

1st Edition
Volume 59B
June 16, 1976
Samuel Eilenberg + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 3 7 5 6

Mathematical Cosmology and Extragalactic Astronomy

1st Edition
Volume 68
February 19, 1976
Irving Ezra Segal
English
eBook
9 7 8 0 0 8 0 8 7 3 8 4 8

Theory of Optimal Search

1st Edition
Volume 118
January 20, 1976
LAWRENCE D. STONE
English
eBook
9 7 8 0 0 8 0 9 5 6 2 7 5

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

Quantitative Techniques for the Analysis of Sediments

1st Edition
January 1, 1976
Daniel F Merriam
English
eBook
9 7 8 1 4 8 3 1 5 9 9 5 9

Quantitative Techniques for the Analysis of Sediments: An International Symposium is a compilation of studies about the integration and application of statistics, mathematics, and computers in the field of sedimentology. The book includes 13 studies from different experts in the field of sedimentology. These studies discuss topics such as the analysis and management of systems suitable for sedimentological data; the different methods of analysis and the numerical classification of different sedimentological data; and the assessment of quantitative methods in comparing lithological succession data. Also included is the trend analysis of sedimentary thickness data; numerical classification of multi-variate petrographic presence-absence data by association analysis; and the mathematical modeling and statistical recognition of terrestrial and marine sediments. The text will interest those in the field of sedimentology and geology, especially those who are engaged in research and wish to be aided by the different techniques included.

An Introduction to Algebraic and Combinatorial Coding Theory

1st Edition
January 1, 1976
Ian F. Blake + 1 more
English
eBook
9 7 8 1 4 8 3 2 6 0 2 9 7

An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.

Workbook for Introductory Statistics for the Behavioral Sciences

2nd Edition
January 1, 1976
Robert B. Ewen
English
eBook
9 7 8 1 4 8 3 2 5 7 8 4 6

Workbook for Introductory Statistics for the Behavioral Sciences, Second Edition provides an introduction to the concepts of statistics. This book aims to help students obtain the necessary practice in a first course in statistics, which is essential to learning and understanding the material. This edition begins with an overview of summation notation exercises with additional computational practices. This text then provides computational exercises for regular frequency distributions, grouped frequency distributions, cumulative frequency distribution, graphic representations, measures of central tendency, measures of variability, and general transformations. This book discusses as well the probability and the general strategy of inferential statistics as well as the differences between the means of two populations. The reader is also introduced to the main advantage of nonparametric and distribution-free statistical tests in which they do not require the population being sampled to the normally distributed. This book is a valuable resource for students of behavioral and social sciences.

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