Real analysis and applications : including fourier series and the calculus of variations

By: Frank MorganMaterial type: TextTextPublication details: Rhode Island: American Mahematical Society, [c2005]Description: 197 pISBN: 978-1-4704-6501-8Subject(s): MathematicsLOC classification: QA300
Contents:
Part I: Real Numbers and Limits Part II: Topology Part III: Calculus Part IV: Fourier Series Part V: The Calculus of Variations
Summary: Real Analysis and Applications starts with a streamlined, but complete, approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof of the correctness of the theory [of General Relativity]."The text not only provides clear, logical proofs, but also shows the student how to derive them. The excellent exercises come with select solutions in the back. This is a text that makes it possible to do the full theory and significant applications in one semester.---Summary provided by publisher
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA300 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00975
Total holds: 0

Part I: Real Numbers and Limits
Part II: Topology
Part III: Calculus
Part IV: Fourier Series
Part V: The Calculus of Variations

Real Analysis and Applications starts with a streamlined, but complete, approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof of the correctness of the theory [of General Relativity]."The text not only provides clear, logical proofs, but also shows the student how to derive them. The excellent exercises come with select solutions in the back. This is a text that makes it possible to do the full theory and significant applications in one semester.---Summary provided by publisher

There are no comments on this title.

to post a comment.