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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.

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2411-2420 of 2429 results in All results

Differential Geometry

  • 1st Edition
  • January 1, 1962
  • I. M. James
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 6 4 7 3 - 1
The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry contains all of Whitehead's published work on differential geometry, along with some papers on algebras. Most of these were written in the period 1929-1937, but a few later articles are included. The book begins with a list of Whitehead's works, in chronological order of writing as well as a biographical note by M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation by John Milnor. This is followed by separate chapters on topics such as linear connections; a method of obtaining normal representations for a projective connection; representation of projective spaces; convex regions in the geometry of paths; locally homogeneous spaces in differential geometry; and the decomposition of an infinitesimal group. Also included are chapters on locally homogeneous spaces in differential geometry; Maurer's equations; linear associative algebras; an expression of Hopf's invariant as an integral; and normalizators of transformation groups.

Curvature and homology

  • 1st Edition
  • Volume 11
  • January 1, 1962
  • Samuel I Goldberg
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 2 3 - 7

Plastic Flow and Fracture in Solids by Tracy Y Thomas

  • 1st Edition
  • Volume 2
  • January 1, 1961
  • Tracy Y. Thomas
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 5 1 1 - 7
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.

Analytical Quadrics

  • 1st Edition
  • Volume 14
  • January 1, 1960
  • Barry Spain
  • I. N. Sneddon + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 3 8 2 9 - 9
Analytical Quadrics focuses on the analytical geometry of three dimensions. The book first discusses the theory of the plane, sphere, cone, cylinder, straight line, and central quadrics in their standard forms. The idea of the plane at infinity is introduced through the homogenous Cartesian coordinates and applied to the nature of the intersection of three planes and to the circular sections of quadrics. The text also focuses on paraboloid, including polar properties, center of a section, axes of plane section, and generators of hyperbolic paraboloid. The book also touches on homogenous coordinates. Concerns include intersection of three planes; circular sections of central quadric; straight line; and circle at infinity. The book also discusses general quadric and classification and reduction of quadric. Discussions also focus on linear systems of quadrics and plane-coordinates. The text is a valuable reference for readers interested in the analytical geometry of three dimensions.

Homotopy Theory

  • 1st Edition
  • Volume 8
  • January 1, 1959
  • Sze-tsen HU
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 1 6 - 9

Elementary Analysis

  • 1st Edition
  • January 1, 1956
  • K. S. Snell + 1 more
  • W. J. Langford + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 3 7 0 8 - 7
Elementary Analysis, Volume 1 introduces the reader to elementary analysis in an informal manner and provides the practical experience in algebraic and analytic operations to lay a sound foundation of basic skills. The preliminary ideas are illustrated by applications to the simpler algebraic functions. Emphasis is on fundamental principles, rather than manipulative techniques. This volume is comprised of 14 chapters and begins with a discussion on number systems, covering concepts ranging from number scales to rational and real numbers, binary operations, and deductive methods. The following chapters deal with sets, vectors and congruences, and functions. Exponential and logarithmic functions, the straight line, and linear function are also considered. The remaining chapters focus on the quadratic function; the principle of mathematical induction and its applications; differentiation and the inverse process; and integration and its applications. Differential equations are presented, along with the definite integral. This book will be of particular value to teachers and students in training colleges.

The geometry of geodesics

  • 1st Edition
  • Volume 6
  • January 1, 1955
  • Herbert Busemann
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 1 4 - 5

Entire functions

  • 1st Edition
  • Volume 5
  • January 1, 1954
  • Ralph Philip Boas
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 1 3 - 8

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