Elements of Mathematics

Lingua: inglese

Editore: Springer, Palgrave Macmillan Sep 2022, 2022

3030750531 / 9783030750534

Serie: Libro 164 di 170 - Undergraduate Texts in Mathematics

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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Venditore AbeBooks dal 23 gennaio 2017

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This item is printed on demand - Print on Demand Titel. Neuware -This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and challenging problems inspired by mathematical contests motivate the theory, while frequent historical asides reveal the story of how the ideas were originally developed.Beginning with a thorough treatment of the natural numbers via Peanös axioms, the opening chapters focus on establishing the natural, integral, rational, and real number systems. Plane geometry is introduced via Birkhoff¿s axioms of metric geometry, and chapters on polynomials traverse arithmetical operations, roots, and factoring multivariate expressions. An elementary classification of conics is given, followed by an in-depth study of rational expressions. Exponential, logarithmic, and trigonometric functions complete the picture, driven by inequalities that compare them with polynomial and rational functions. Axioms and limits underpin the treatment throughout, offering not only powerful tools, but insights into non-trivial connections between topics.Elements of Mathematics is ideal for students seeking a deep and engaging mathematical challenge based on elementary tools. Whether enhancing the early undergraduate curriculum for high achievers, or constructing a reflective senior capstone, instructors will find ample material for enquiring mathematics majors. No formal prerequisites are assumed beyond high school algebra, making the book ideal for mathematics circles and competition preparation. Readers who are more advanced in their mathematical studies will appreciate the interleaving of ideas and illuminating historical details.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 544 pp. Englisch.…

Codice articolo 9783030750534

Titolo
Elements of Mathematics
Autore
Gabor Toth
Editore
Springer, Palgrave Macmillan Sep 2022
Anno di pubblicazione
2022
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3030750531
ISBN 13
9783030750534
Peso dell'articolo
913 grammi
Dimensioni
235x155x28 mm
Serie
Libro 164 di 170: Undergraduate Texts in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 23 gennaio 2017

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
Primo articoloEUR 60,00EUR 75,00
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