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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.

BooksJournals

    • Handbook of Mathematical Economics

      • 1st Edition
      • Volume 3
      • February 1, 1986
      • English
      • Hardback
        9 7 8 0 4 4 4 8 6 1 2 8 3
      • eBook
        9 7 8 0 0 8 0 9 3 3 6 0 3
      The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume I deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory. Volume II elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.

    • A Mathematical Introduction to Dirac's Formalism

      • 1st Edition
      • Volume 36
      • October 1, 1986
      • S.J.L. van Eijndhoven + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 6 8 4 4
      • eBook
        9 7 8 0 0 8 0 8 8 0 2 1 1
      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.

    • Matching Theory

      • 1st Edition
      • Volume 29
      • June 1, 1986
      • M.D. Plummer + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 3 2 2
      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.

    • Stability of Functional Differential Equations

      • 1st Edition
      • April 15, 1986
      • English
      • Paperback
        9 7 8 0 1 2 4 1 7 9 4 1 7
      • eBook
        9 7 8 0 0 8 0 9 6 3 1 4 3
      This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.

    • A Theory of Sets

      • 2nd Edition
      • Volume 108
      • May 27, 1986
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 2 7 2
      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
      • May 5, 1986
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 3 2 9
      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.

    • Fermat Days 85: Mathematics for Optimization

      • 1st Edition
      • Volume 129
      • January 1, 1986
      • J.-B. Hiriart-Urruty
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 4 0 7
      Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics. The main topics covered are: calculations of variations and nonlinear elasticity, optimal control, analysis and optimization in problems dealing with nondifferentiable data, duality techniques, algorithms in mathematical programming and optimal control.

Related subjects

Mathematics and applied mathematics

Statistics and probability