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- Real Mathematical Analysis Pugh Pdf
- Real Mathematical Analysis Springer Pdf
- Charles Chapman Pugh Real Mathematical Analysis Pdf
- Real Mathematical Analysis Second Edition Pdf
- Principles Of Mathematical Analysis Pdf
Introduction to real analysis / William F. ISBN 0-13-045786-8 1. QA300.T6672003 515-dc369 Free Edition1.04, April 2010 This book was publishedpreviouslybyPearson Education. This free editionis made available in the hope that it will be useful as a textbook or refer-ence.
Lectures: 2 sessions / week, 1.5 hours / session
Real Mathematical Analysis Pugh Pdf
Recitations: 1 session / week, 1 hour / session
Prerequisites
Real Mathematical Analysis Springer Pdf
18.02 Multivariable Calculus; 18.03 Differential Equations; or 18.034 Honors Differential Equations
Description
This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts and teaches an understanding and construction of proofs. MIT students may choose to take one of three versions of Real Analysis; this version offers three additional units of credit for instruction and practice in written and oral presentation.
The three options for 18.100:
- Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible.
- Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology.
- Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication. This fulfills the MIT CI requirement.
Textbook
Charles Chapman Pugh Real Mathematical Analysis Pdf
Rudin, Walter. Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics). 3rd ed. McGraw-Hill, 1976. ISBN: 9780070542358.
Other Recommended Readings
Apostol, Tom M. Mathematical Analysis. 2nd ed. Pearson Education, 1974. ISBN: 9780201002881.
Spivak, Michael. Calculus. 4th ed. Publish or Perish, 2008. ISBN: 9780914098911.
Grading Policy
ACTIVITIES | PERCENTAGES |
---|---|
Problem sets (10) | 25% |
CI requirement (including writing assignments) | 25% |
Midterm exams (2) | 25% |
Final exam | 25% |
Note: In order to pass the course, you do have to satisfy the minimum requirements for the CI recitations, including attendance.
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Real Mathematical Analysis Second Edition Pdf
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