ANALYSIS II
Sequences and series of functions. Uniform convergence. Uniform continuity and integration. Topology of Rn. The contraction mapping theorem. Differentiation in Rn. Integration in Rn. Multi-linear algebra. Integration with differential forms. Manifolds.
Analysis II, written by D. Chua, based on lectures by N. Wickramasekera, 2015, University of Cambridge.
Analysis, by T. W. Körner, 2001, University of Cambridge.
Analysis II, written by P. Minter, based on lectures by N. Wickramasekera, 2015, University of Cambridge.
Analysis II, written by Q. Kuang, based on lectures by J. Rasmussen, 2017, University of Cambridge.
Analysis II, based on lectures by V. Guillemin, 2005, Massachusetts Institute of Technology.
Lecture Notes on Multivariable Calculus, written by B. Niethammer and A. Dancer, based on lectures by B. Szendröi, 2020, University of Oxford.
Introduction to Manifolds, by K. McGerty, 2021, University of Oxford.
- With Solutions
Math 125B: Real Analysis, by J. K. Hunter, 2013, University of California, Davis. - Without Solutions
University of Cambridge: 2002 to 2018
University of Oxford: 2020, 2021
Analysis II, by A. Parzygnat, 2018, University of Connecticut.
Real Analysis II, by Jaikrishnan J., 2021, Indian Institute of Technology Palakkad.
Basic Analysis I, by J. Lebl, 2021, Oklahoma State University.
Basic Analysis II, by J. Lebl, 2021, Oklahoma State University.
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Principles of Mathematical Analysis, by W. Rudin, 3rd ed., 1976, McGraw-Hill Education.
Mathematical Analysis, by T. Apostol, 2nd ed., 1974, Pearson.
Analysis II, by T. Tao, 3rd ed., 2016, Hindustan Book Agency, Springer.
Introduction to Analysis, by M. Rosenlicht, 1986, Dover Publications.
A First Course in Analysis, by J. B. Conway, 2017, Cambridge University Press.
Schaum’s Outline of Advanced Calculus, by R. Wrede and M. Spiegel, 3rd ed., 2010, McGraw Hill.
Counterexamples in Analysis, by B. R. Gelbaum, J. M. H. Olmsted, 2003, Dover Publications.