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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

    • Recent Topics in Nonlinear PDE II

      • 1st Edition
      • September 1, 1986
      • K. Masuda + 1 more
      • English
      • Paperback
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      • eBook
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      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.

    • Handbook of Econometrics

      • 1st Edition
      • Volume 3
      • June 1, 1986
      • Michael D. Intriligator + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 8 6 1 8 7 0
      • Paperback
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      • eBook
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      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.

    • Approximation of Continuously Differentiable Functions

      • 1st Edition
      • Volume 130
      • November 1, 1986
      • J.G. Llavona
      • English
      • Paperback
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      • eBook
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      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.

    • Transform Analysis of Generalized Functions

      • 1st Edition
      • Volume 119
      • January 1, 1986
      • O.P. Misra + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 1 8 3
      • eBook
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      Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.

    • Intensional Mathematics

      • 1st Edition
      • Volume 113
      • January 1, 1985
      • S. Shapiro
      • English
      • Paperback
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      • eBook
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      ``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects...'' FROM THE INTRODUCTIONAmong the aims of this book are: - The discussion of some important philosophical issues using the precision of mathematics. - The development of formal systems that contain both classical and constructive components. This allows the study of constructivity in otherwise classical contexts and represents the formalization of important intensional aspects of mathematical practice. - The direct formalization of intensional concepts (such as computability) in a mixed constructive/classic... context.

    • Equivalents of the Axiom of Choice, II

      • 1st Edition
      • Volume 116
      • March 1, 1985
      • H. Rubin + 1 more
      • English
      • eBook
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      This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.

    • Analysis on Real and Complex Manifolds

      • 2nd Edition
      • Volume 35
      • December 1, 1985
      • R. Narasimhan
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.

    • Positive Operators

      • 1st Edition
      • Volume 119
      • October 8, 1985
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 3 8 8

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