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

Differential-Difference Equations

1st Edition
Volume 6
January 1, 1963
Bellman
English
eBook
9 7 8 0 0 8 0 9 5 5 1 4 8

Differential Forms with Applications to the Physical Sciences by Harley Flanders

1st Edition
Volume 11
January 1, 1963
Harley Flanders
English
eBook
9 7 8 0 0 8 0 9 5 5 1 8 6

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.

Mathematical Theories of Traffic Flow

1st Edition
Volume 7
January 1, 1963
Haight
English
eBook
9 7 8 0 0 8 0 9 5 5 1 5 5

Optimum Design of Digital Control Systemsby Julius T Tou

1st Edition
Volume 10
January 1, 1963
Julius T. Tou
English
eBook
9 7 8 0 0 8 0 9 5 5 1 7 9

Differential geometry and symmetric spaces

1st Edition
Volume 12
January 1, 1962
Sigurdur Helgason
English
eBook
9 7 8 0 0 8 0 8 7 3 2 4 4

Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz

1st Edition
Volume 4
January 1, 1961
Joseph La Salle + 1 more
English
eBook
9 7 8 0 0 8 0 9 5 5 1 2 4

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; and methods 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 particular branches, such as optimal filtering and information compression.