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Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.
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This volume contains papers by participants in the National Symposium on Functional Analysis, Optimization and Applications held at the University of Newcastle in March 1998. The Symposium was a joint acivity organised by the Department of Mathematics and the Centre for Integrated dynamics and Control (CIDAC), which is associated with the Department of Electrical and Computer Engineering, all at the University of Newcastle.
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This volume contains papers by participants in the National Symposium on Functional Analysis, Optimization and Applications held at the University of Newcastle in March 1998. The Symposium was a joint acivity organised by the Department of Mathematics and the Centre for Integrated dynamics and Control (CIDAC), which is associated with the Department of Electrical and Computer Engineering, all at the University of Newcastle.
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This volume contains papers by participants in the National Symposium on Functional Analysis, Optimization and Applications held at the University of Newcastle in March 1998. The Symposium was a joint acivity organised by the Department of Mathematics and the Centre for Integrated dynamics and Control (CIDAC), which is associated with the Department of Electrical and Computer Engineering, all at the University of Newcastle.
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Pocket Book of Integrals and Mathematical Formulas, a revision of a very successful pocket book, provides a handy desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. Topics range from pre-calculus to vector analysis and from Fourier transforms to statistics.This third edition contains: A new chapter on business and financial mathematics - providing information on progressions, especially geometric progressions, which is the basis for many formulas related to annuities, growth of funds, and interest payments Additional topics in statistics - including sample size calculations for testing differences and proportionsFeaturing numerical tables of probability distributions, the book also includes Discussions on formula listings and differential equations Fourier series Laplace and z-transforms Vector analysis Orthogonal polynomialsMany other handbooks go too far in their attempts, essentially mimicking larger comprehensive texts they try to summarize. The result is a reference less detailed than the full texts and too big to be conveniently portable. Most scientists do not carry them.Through a careful selection of topics and detail, Pocket Book of Integrals and Mathematical Formulas truly meets the needs of engineers and scientists - a convenient, usable supplementary text providing worked examples where most necessary. Its comprehensive information and convenient arrangement of tables makes it an essential and easy to use reference.
Functional analysis --- Integrals --- Mathematics
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