Mathematical tools of physics for philosophers
Syllabus
1. Elementary calculus
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Numbers
Functions
Sequences, series
Continuity
Differentation
Integration
Sequences, series of functions
Differential equations
2. Multivariable calculus
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Vectors
Functions of several variables
Partial derivative
Integration on curves and surfaces
Elements of vector analysis
3. Abstract structures
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Metrics
Topology
Norms
Measures
Manifolds
M. Ryan: Calculus Essentials for Dummies, Wiley Publishing, Indianapolis, 2010
R. Courant and H. Robbins: What Is Mathematics? An Elementary Approach
to Ideas and Methods, Oxford University Press, Oxford, 1996
K. A. Ross: Elementary Analysis: The Theory of Calculus, Springer, New York, 1980
W. Rudin: Principles of Mathematical Analysis, McGraw–Hill Publishing,
New York, 1976
A. Browder: Mathematical analysis: an introduction, Springer, New York, 1996