Essential Mathematics for Undergraduates

Essential Mathematics for Undergraduates

A Guided Approach to Algebra, Geometry, Topology and Analysis

Chiossi, Simon G.

Springer Nature Switzerland AG

02/2022

490

Dura

Inglês

9783030871734

15 a 20 dias

928

Descrição não disponível.
Part I: Basic Objects and Formalisation - Round-up of Elementary Logic.- Naive Set Theory.- Functions.- More Set Theory and Logic.- Boolean Algebras. Part 2: Numbers and Structures - Intuitive Arithmetics.- Real Numbers.- Totally Ordered Spaces.- Part 3: Elementary Real Functions - Real Polynomials.- Real Functions of One Real Variables.- Algebraic Functions.- Elementary Transcendental Functions.- Complex Numbers.- Enumerative Combinatorics.- Part 4: Geometry through Algebra - Vector Spaces.- Orthogonal Operators.- Actions & Representations.- Elementary Plane Geometry.- Metric Spaces.- Part 5: Appendices - Etymologies.- Index of names.- Main figures.- Glossary.- References.
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algebra;geometry;topology;logic;set theory;functions;real numbers;polynomials;complex numbers;vector spaces;metric structures;Boolean algebras;combinatorics