Essential Mathematics for Undergraduates

A Guided Approach to Algebra, Geometry, Topology and Analysis

AvSimon G. Chiossi

Häftad, Engelska, 2023

638 kr

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Beskrivning

Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between algebra and geometry.Two appendices form Part 5: the Greek etymology of frequent terms and a list of mathematicians mentioned in the book.

Produktinformation

Utgivningsdatum:2023-02-18
Mått:155 x 235 x 33 mm
Vikt:774 g
Format:Häftad
Språk:Engelska
Antal sidor:490
Förlag:Springer Nature Switzerland AG
ISBN:9783030871765

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Simon G. Chiossi is a lecturer at Fluminense Federal University in Brazil. He was awarded a Ph.D. in mathematics from the University of Genoa in 2003. His research interests lie in complex differential geometry and Lie theory, with focus on special geometry in dimensions 4--8.

Recensioner i media

“The book being reviewed is a collection of what the author considers to be essential material for undergraduates … . it has to be said that many students will find that there is plenty to learn from this well-written book, which would also be a useful reference text had there been a properly compiled index.” (Peter Shiu, The Mathematical Gazette, Vol. 107 (570), November, 2023)

Innehållsförteckning

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.