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Mathematical Methods: Linear Algebra, Normed Spaces, Distributions, Integrationby Jacob Korevaar
Synopses & ReviewsPublisher Comments:Rigorous but not abstract, this intensive introductory treatment provides many of the advanced mathematical tools used in applications. It also supplies the theoretical background that will make most other parts of modern mathematical analysis accessible. Author Jacob Korevaar, Professor Emeritus at the University of Amsterdam, based this text on his intensive beginning graduate course for students in the physical sciences and applied mathematics. His introductory and relatively general material prepares students for such subjects as orthogonal series, linear operators in Hilbert space, integral equations, SturmLiouville problems, and partial differential equations. The threepart treatment begins with relevant topics in linear algebra, with emphasis on the basic concepts of vector spaces and linear transformation. The second part introduces functional analysis and discusses distributions. The final section addresses integration theory, developing the properties of Lebesgue integral functions and related topics. A year of advanced calculus is the principal prerequisite for this text, in addition to some knowledge of elementary linear algebra and elementary differential equations. Synopsis:Rigorous but not abstract, this intensive introductory treatment provides many advanced mathematical tools used in applications, plus theoretical background that makes most other parts of modern mathematical analysis accessible. 1968 edition. Synopsis:Rigorous but not abstract, this intensive introductory treatment provides many advanced mathematical tools used in applications, plus theoretical background that makes most other parts of modern mathematical analysis accessible. 1968 edition. Table of ContentsPreface I. Algebraic Theory of Vector Spaces II. Introduction to Functional Analysis. Distributions III. The Lebesgue Integral and Related Topics Subject and Author Index Index of Notation What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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