Introduction to Analysis
by Irena Swanson
Publisher: Reed College 2016
Number of pages: 323
In this course, students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.
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The book places emphasis on Mathematics as a human activity and on the people who made it. From the table of contents: Historical background; Differential calculus; Integral calculus; Differential equations; Solutions to the problems.
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This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
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