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Related lectures (24)
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Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Mathematical Induction: Basics and Applications
Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Mathematical Analysis: Functions and Composition
Covers the analysis of functions, composition, and mathematical induction.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
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The Languages of Isabelle: Isar, ML, and Scala
Explores the languages of Isabelle, focusing on Isar, ML, and Scala, covering proof schemes, Natural Deduction rules, inductive definitions, and the LCF approach.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
