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Undergraduate Texts in Mathematics: A Readable Introduction to Real Mathematics
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Undergraduate Texts in Mathematics: A Readable Introduction to Real Mathematics - gebunden oder broschiert

2014, ISBN: 9783319056531

[ED: Buch, gebundene Ausgabe], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: 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 engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra some trigonometry is needed for Chapters 9 and 12. 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 - constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book. BUCHBESPRECHUNG: "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) "Daniel Rosenthal and Peter Rosenthal (both, Univ. of Toronto) and David Rosenthal (St. John's Univ.) present 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) INHALT: _1. Introduction to the Natural Numbers.- 2. Mathematical Induction.- 3. Modular Arithmetic.- 4. The Fundamental Theorem of Arithmetic.- 5. Fermat's Theorem and Wilson's Theorem.- 6. Sending and Receiving Coded Messages.- 7. The Euclidean Algorithm and Applications.- 8. Rational Numbers and Irrational Numbers.- 9. The Complex Numbers.- 10. Sizes of Infinite Sets.- 11. Fundamentals of Euclidean Plane Geometry.- 12. Constructability., [SC: 0.00], Neuware, gewerbliches Angebot, H: 243mm, B: 157mm, T: 7mm, [GW: 408g]

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A Readable Introduction To Real Mathematics - Springer International Publishing Ag
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A Readable Introduction To Real Mathematics - neues Buch

2014, ISBN: 9783319056531

ID: 18975193

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 engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical. 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 engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. 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 - constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book. Books, Science and Geography~~Mathematics, A Readable Introduction To Real Mathematics~~Book~~9783319056531~~Peter Rosenthal, David Rosenthal, Daniel Rosenthal, , A Readable Introduction To Real Mathematics, Peter Rosenthal, 9783319056531, Springer International Publishing Ag, 07/04/2014, , , , Springer International Publishing Ag

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A Readable Introduction to Real Mathematics - Daniel Rosenthal, David Rosenthal, Peter Rosenthal
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Daniel Rosenthal, David Rosenthal, Peter Rosenthal:
A Readable Introduction to Real Mathematics - gebunden oder broschiert

ISBN: 3319056530

[SR: 226641], Hardcover, [EAN: 9783319056531], Springer, Springer, Book, [PU: Springer], Springer, 952156, Geometry & Topology, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952170, Mathematical Analysis, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952174, Pure Mathematics, 952206, Fractals, 952204, Predicate & Propositional Calculus, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 956516, Geometry & Topology, 956520, Algebraic Geometry, 956522, Analytic Geometry, 956524, Differential Geometry, 956526, Non-Euclidean Geometries, 956528, Topology, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956424, Mathematical Analysis, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956490, Calculus, 956454, Pure Mathematics, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956492, Number Theory, 956454, Pure Mathematics, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 15306831, Calculus, 15306811, Mathematics, 15306801, Sciences, 15115321, Textbooks, 927726, Subjects, 916520, Books, 15306841, Geometry, 15306811, Mathematics, 15306801, Sciences, 15115321, Textbooks, 927726, Subjects, 916520, Books

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A Readable Introduction to Real Mathematics - Rosenthal, Daniel; Rosenthal, David; Rosenthal, Peter
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Rosenthal, Daniel; Rosenthal, David; Rosenthal, Peter:
A Readable Introduction to Real Mathematics - gebunden oder broschiert

2014, ISBN: 3319056530

ID: A22633215

2014 Gebundene Ausgabe Analysis, Calculus, Geometrie, Raumlehre, MATHEMATICS / Mathematical Analysis, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH]

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A Readable Introduction to Real Mathematics - Daniel Rosenthal; David Rosenthal; Peter Rosenthal
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Daniel Rosenthal; David Rosenthal; Peter Rosenthal:
A Readable Introduction to Real Mathematics - gebunden oder broschiert

2014, ISBN: 9783319056531

ID: 29272863

2014, Hardcover, Buch, [PU: Springer International Publishing]

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A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics)
Autor:

Daniel Rosenthal, David Rosenthal, Peter Rosenthal

Titel:

A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics)

ISBN-Nummer:

9783319056531

Detailangaben zum Buch - A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9783319056531
ISBN (ISBN-10): 3319056530
Gebundene Ausgabe
Erscheinungsjahr: 2014
Herausgeber: Springer, Berlin

Buch in der Datenbank seit 06.05.2014 22:08:02
Buch zuletzt gefunden am 17.10.2016 01:16:46
ISBN/EAN: 9783319056531

ISBN - alternative Schreibweisen:
3-319-05653-0, 978-3-319-05653-1

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