Skip to main content
View Cart

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.

  • Approximation of Continuously Differentiable Functions

    • 1st Edition
    • Volume 130
    • J.G. Llavona
    • English
    This self-contained book brings together the important results of a rapidly growing area.As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.

  • Boole's Logic and Probability

    A Critical Exposition from the Standpoint of Contemporary Algebra, Logic and Probability Theory
    • 2nd Edition
    • Volume 85
    • T. Hailperin
    • English
    Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition.Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.

  • A Mathematical Introduction to Dirac's Formalism

    • 1st Edition
    • Volume 36
    • S.J.L. van Eijndhoven + 1 more
    • English
    This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part.The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.

  • Recent Topics in Nonlinear PDE II

    • 1st Edition
    • K. Masuda + 1 more
    • English
    This volume is the result of lectures delivered at the second meeting on the subject of nonlinear partial differential equations, held at Tohoku University, 27-29 February 1984. The topics presented at the conference range over various fields of mathematical physics.

  • Introduction to Lie Groups and Lie Algebra, 51

    • 1st Edition
    • Arthur A. Sagle + 1 more
    • English

  • Nonstandard Methods in Stochastic Analysis and Mathematical Physics

    • 1st Edition
    • Volume 122
    • English

  • Fundamentals of the Theory of Operator Algebras. V2

    Advanced Theory
    • 1st Edition
    • Volume 100II
    • English

  • Matching Theory

    • 1st Edition
    • Volume 29
    • M.D. Plummer + 1 more
    • English
    This study of matching theory deals with bipartite matching, network flows, and presents fundamental results for the non-bipartite case. It goes on to study elementary bipartite graphs and elementary graphs in general. Further discussed are 2-matchings, general matching problems as linear programs, the Edmonds Matching Algorithm (and other algorithmic approaches), f-factors and vertex packing.

  • Handbook of Econometrics

    • 1st Edition
    • Volume 3
    • Michael D. Intriligator + 1 more
    • English
    The Handbook is a definitive reference source and teaching aid for econometricians. It examines models, estimation theory, data analysis and field applications in econometrics. Comprehensive surveys, written by experts, discuss recent developments at a level suitable for professional use by economists, econometricians, statisticians, and in advanced graduate econometrics courses.

  • A Theory of Sets

    • 2nd Edition
    • Volume 108
    • English
    This book provides graduate students and professional mathematicians with a formal unified treatment of logic and set theory. The formalization can be used without change to build just about any mathematical structure on some suitable foundation of definitions and axioms. In addition to most of the topics considered standard fare for set theory several special ones are treated. This book will be found useful as a text for a substantial one-semester course in set theory and that the student will find continuing use for the formal and highly flexible language

Related subjects