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Sprache: Englisch
Verlag: Springer Nature Switzerland AG, CH, 2021
ISBN 10: 3030807312 ISBN 13: 9783030807313
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In den WarenkorbPaperback. Zustand: New. 2nd ed. 2018. Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the beauty and elegance of mathematics. The book contains a large number of exercises of varying difficulty, some of which are designed to help reinforce basic concepts and others of which will challenge virtually all readers. The sole prerequisite for reading this text is high school algebra. Topics covered include: * mathematical induction * modular arithmetic * the Fundamental Theorem of Arithmetic * Fermat's Little Theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry * constructibility (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass)* infinite series * higher dimensional spaces.This textbook is suitable for a wide variety of courses and for a broad range of students of mathematics and other subjects. Mathematically inclined senior high school students will also be able to read this book.From the reviews of the first edition:"It is carefully written in a precise but readable and engaging style. I thoroughly enjoyed reading this recent addition to the Springer Undergraduate Texts in Mathematics series and commend this clear, well-organised, unfussy text to its target audiences." (Nick Lord, The Mathematical Gazette, Vol. 100 (547), 2016) "The book is an introduction to real mathematics and is very readable. . The book is indeed a joy to read, and would be an excellent text for an 'appreciation of mathematics' course, among other possibilities." (G.A. Heuer, Mathematical Reviews, February, 2015)"Many a benighted book misguidedly addresses the need [to teach mathematical thinking] by framing reasoning, or narrowly, proof, not as pervasive modality but somehow as itself an autonomous mathematical subject. Fortunately, the present book gets it right. [presenting] well-chosen, basic, conceptual mathematics, suitably accessible after a K-12 education, in a detailed, self-conscious way that emphasizes methodology alongside content and crucially leads to an ultimate clear payoff. . Summing Up: Recommended. Lower-division undergraduates and two-year technical program students; general readers." (D.V. Feldman, Choice, Vol. 52 (6), February, 2015).
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Verlag: Springer-Verlag, 2014
ISBN 10: 3319056530 ISBN 13: 9783319056531
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In den WarenkorbHardcover. Zustand: Brand New. 2nd edition. 218 pages. 9.50x6.25x0.75 inches. In Stock.
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In den WarenkorbPaperback. Zustand: Brand New. 2nd edition. 236 pages. 9.25x6.10x0.50 inches. In Stock.
Sprache: Englisch
Verlag: Springer Nature Switzerland AG, CH, 2021
ISBN 10: 3030807312 ISBN 13: 9783030807313
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In den WarenkorbPaperback. Zustand: New. 2nd ed. 2018. Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the beauty and elegance of mathematics. The book contains a large number of exercises of varying difficulty, some of which are designed to help reinforce basic concepts and others of which will challenge virtually all readers. The sole prerequisite for reading this text is high school algebra. Topics covered include: * mathematical induction * modular arithmetic * the Fundamental Theorem of Arithmetic * Fermat's Little Theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry * constructibility (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass)* infinite series * higher dimensional spaces.This textbook is suitable for a wide variety of courses and for a broad range of students of mathematics and other subjects. Mathematically inclined senior high school students will also be able to read this book.From the reviews of the first edition:"It is carefully written in a precise but readable and engaging style. I thoroughly enjoyed reading this recent addition to the Springer Undergraduate Texts in Mathematics series and commend this clear, well-organised, unfussy text to its target audiences." (Nick Lord, The Mathematical Gazette, Vol. 100 (547), 2016) "The book is an introduction to real mathematics and is very readable. . The book is indeed a joy to read, and would be an excellent text for an 'appreciation of mathematics' course, among other possibilities." (G.A. Heuer, Mathematical Reviews, February, 2015)"Many a benighted book misguidedly addresses the need [to teach mathematical thinking] by framing reasoning, or narrowly, proof, not as pervasive modality but somehow as itself an autonomous mathematical subject. Fortunately, the present book gets it right. [presenting] well-chosen, basic, conceptual mathematics, suitably accessible after a K-12 education, in a detailed, self-conscious way that emphasizes methodology alongside content and crucially leads to an ultimate clear payoff. . Summing Up: Recommended. Lower-division undergraduates and two-year technical program students; general readers." (D.V. Feldman, Choice, Vol. 52 (6), February, 2015).
Sprache: Englisch
Verlag: Springer, Heidelberg, Etc., 2014
ISBN 10: 3319056530 ISBN 13: 9783319056531
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In den WarenkorbOriginal decorated boards. Zustand: New. With diagrams. Light shelfwear. ; 6.25 X 0.5 X 9.25 inches; 176 pages.
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Sprache: Englisch
Verlag: Springer International Publishing, 2019
ISBN 10: 303000631X ISBN 13: 9783030006310
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In den WarenkorbZustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents sophisticated ideas in algebra and geometry in an elementary fashionIncludes exercises of varying difficulty to help motivate and teach the readerDevelops mathematical thinking that will be useful for future mathematics teachers an.
Sprache: Englisch
Verlag: Springer International Publishing, 2021
ISBN 10: 3030807312 ISBN 13: 9783030807313
Anbieter: moluna, Greven, Deutschland
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In den WarenkorbKartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents sophisticated ideas in algebra and geometry in an elementary fashionIncludes exercises of varying difficulty to help motivate and teach the readerSolutions to selected exercises are freely available in PDFDaniel Rosentha.