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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.

  • 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
  • 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
  • Number Theory

    • 1st Edition
    • Volume 20
    • English
    This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.
  • Logic, Methodology and Philosophy of Science VII

    • 1st Edition
    • Volume 114
    • R. Barcan Marcus + 2 more
    • English