Elements mathematics problem centered approach von toth gabor (5 Ergebnisse)
Sprache: Englisch
Verlag: Springer 2022
Serie: Undergraduate Texts in Mathematics, Buch 164 von 170. Buch 164 von 170 - Undergraduate Texts in Mathematics
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Paperback. Zustand: Brand New. 542 pages. 9.25x6.10x1.18 inches. In Stock.
Sprache: Englisch
Verlag: Springer 2021
Serie: Undergraduate Texts in Mathematics, Buch 164 von 170. Buch 164 von 170 - Undergraduate Texts in Mathematics
- Hardcover
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Zustand: New.
Sprache: Englisch
Verlag: Springer International Publishing, Springer Nature Switzerland 2022
Serie: Undergraduate Texts in Mathematics, Buch 164 von 170. Buch 164 von 170 - Undergraduate Texts in Mathematics
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 Peano's 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.
Sprache: Englisch
Verlag: Springer 2022
Serie: Undergraduate Texts in Mathematics, Buch 164 von 170. Buch 164 von 170 - Undergraduate Texts in Mathematics
- Softcover
Anbieter: preigu, Osnabrück, Deutschlandpreigu
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Taschenbuch. Zustand: Neu. Elements of Mathematics | A Problem-Centered Approach to History and Foundations | Gabor Toth | Taschenbuch | xv | Englisch | 2022 | Springer | EAN 9783030750534 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | An…bieter: preigu.
Sprache: Englisch
Verlag: Springer International Publishing, Springer Nature Switzerland 2021
Serie: Undergraduate Texts in Mathematics, Buch 164 von 170. Buch 164 von 170 - Undergraduate Texts in Mathematics
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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-provok…ing 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 Peano's 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.
