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

Introduction to Interval Computation

1st Edition
November 28, 1983
Gotz Alefeld + 1 more
English
eBook
9 7 8 0 0 8 0 9 1 6 3 6 1

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.

Algebra

1st Edition
Volume 110
November 1, 1983
Larry C. Grove
English
eBook
9 7 8 0 0 8 0 8 7 4 2 9 6

Observers for Linear Systems

1st Edition
August 18, 1983
John O'Reilly
English
eBook
9 7 8 0 0 8 0 9 5 9 9 9 3

My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.

Fundamentals of the Theory of Operator Algebras. V1

1st Edition
Volume 100I
June 29, 1983
Richard V. Kadison + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 4 1 6 6

Semi-Riemannian Geometry With Applications to Relativity

1st Edition
Volume 103
June 28, 1983
Barrett O'Neill
English
Hardback
9 7 8 0 1 2 5 2 6 7 4 0 3
eBook
9 7 8 0 0 8 0 5 7 0 5 7 0

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

Renormalization

1st Edition
Volume 106
June 23, 1983
Edward B. Manoukian
English
eBook
9 7 8 0 0 8 0 8 7 4 2 5 8

Riesz Spaces II

1st Edition
Volume 30
May 1, 1983
A.C. Zaanen
English
eBook
9 7 8 0 0 8 0 9 6 0 1 8 0

While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.

Vector Bundles - Vol 1

1st Edition
Volume 101I
February 18, 1983
Howard Osborn
English
eBook
9 7 8 0 0 8 0 8 7 4 2 0 3

Fast Transforms Algorithms, Analyses, Applications

1st Edition
January 28, 1983
Douglas F. Elliott + 1 more
English
eBook
9 7 8 0 0 8 0 9 1 8 0 6 8

This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

The Theory of Error-Correcting Codes

1st Edition
Volume 16
January 1, 1983
F.J. MacWilliams + 1 more
English
Hardback
9 7 8 0 4 4 4 8 5 1 9 3 2

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