Elements Mathematics Problem Centered Approach by Toth Gabor (12 results)
Language: English
Published by Springer, 2021
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Hardcover
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Language: English
Published by Springer, 2021
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Hardcover
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Language: English
Published by Springer, 2022
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Softcover
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Language: English
Published by Springer, 2021
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Hardcover
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Language: English
Published by Springer, 2021
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Hardcover
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Condition: New.
Language: English
Published by Springer, 2022
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Softcover
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Condition: New. 1st ed. 2021 edition NO-PA16APR2015-KAP.
Language: English
Published by Springer, 2022
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Softcover
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Taschenbuch. Condition: 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. Thoug…ht-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.
Language: English
Published by Springer, 2022
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Softcover
Seller: preigu, Osnabrück, Germanypreigu
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Taschenbuch. Condition: 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 |…Anbieter: preigu.
Language: English
Published by Springer International Publishing, Springer Nature Switzerland, 2021
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Hardcover
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Buch. Condition: 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-prov…oking 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.
Language: English
Published by Springer, 2022
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Softcover
- Print on Demand
Seller: Majestic Books, Hounslow, United KingdomMajestic Books
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Condition: New. Print on Demand.
Language: English
Published by Springer, 2022
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Softcover
- Print on Demand
Seller: Biblios, frankfurt am main, HESSE, GermanyBiblios
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£ 83.36
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Condition: New. PRINT ON DEMAND.
Language: English
Published by Springer, 2021
Series: Book 164 of 170 - Undergraduate Texts in Mathematics
- Hardcover
- Print on Demand
Seller: preigu, Osnabrück, Germanypreigu
Contact seller5-star sellerCondition: New
£ 55.13
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Buch. Condition: Neu. Elements of Mathematics | A Problem-Centered Approach to History and Foundations | Gabor Toth | Buch | xv | Englisch | 2021 | Springer | EAN 9783030750503 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: prei…gu Print on Demand.
