Elements of Mathematics (Paperback)

Lingua: inglese

Editore: Springer Nature Switzerland AG, Cham, 2022

3030750531 / 9783030750534

Serie: Libro 164 di 170 - Undergraduate Texts in Mathematics

Da: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller

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Venditore AbeBooks dal 22 giugno 2007

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Paperback. 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 Peanos axioms, the opening chapters focus on establishing the natural, integral, rational, and real number systems. Plane geometry is introduced via Birkhoffs 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. A ProblemCentered Approach to History and Foundations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9783030750534

Titolo
Elements of Mathematics (Paperback)
Autore
Gabor Toth
Editore
Springer Nature Switzerland AG, Cham
Anno di pubblicazione
2022
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
3030750531
ISBN 13
9783030750534
Serie
Libro 164 di 170: Undergraduate Texts in Mathematics

AussieBookSeller

Truganina, VIC, Australia

Venditore con 5 stelle

Venditore AbeBooks dal 22 giugno 2007

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

ArticoloDa 25 a 45 giorni lavorativiDa 8 a 14 giorni lavorativi
Primo articoloEUR 31,86EUR 37,89
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