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A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics) - Daniel Rosenthal, David Rosenthal, Peter Rosenthal
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A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics) - libri usati

2014, ISBN: 3319056530

[EAN: 9783319056531], [SC: 9.9], [PU: Springer], Gebraucht - Wie neu - Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas i… Altro …

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ISBN: 9783319056531

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 b… Altro …

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ISBN: 9783319056531

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 b… Altro …

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ISBN: 9783319056531

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Rosenthal, Daniel, Rosenthal, David, Rosenthal, Peter:
Readable Introduction to Real Mathematics - libri usati

2014, ISBN: 9783319056531

Hardcover book. Published by Springer (2014) Media >

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Dettagli del libro
A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics)

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.

Informazioni dettagliate del libro - A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9783319056531
ISBN (ISBN-10): 3319056530
Copertina rigida
Anno di pubblicazione: 2014
Editore: Springer, Berlin

Libro nella banca dati dal 2014-05-06T22:08:02+02:00 (Rome)
Pagina di dettaglio ultima modifica in 2021-10-27T16:06:38+02:00 (Rome)
ISBN/EAN: 9783319056531

ISBN - Stili di scrittura alternativi:
3-319-05653-0, 978-3-319-05653-1
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : daniel rosenthal, rosenthal david, rose peter, rosentha, peter rosen
Titolo del libro: getting real, rosenthal, introduction introduction, undergraduate text, mathematics


Dati dell'editore

Autore: Daniel Rosenthal; David Rosenthal; Peter Rosenthal
Titolo: Undergraduate Texts in Mathematics; A Readable Introduction to Real Mathematics
Editore: Springer; Springer International Publishing
161 Pagine
Anno di pubblicazione: 2014-07-15
Cham; CH
Stampato / Fatto in
Peso: 3,908 kg
Lingua: Inglese
42,79 € (DE)
43,99 € (AT)
53,55 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Mathematik; Mathematik; Verstehen; trisection of angles; mathematical induction; RSA method; cardinality; complex numbers; Fermat's Theorem; natural numbers; B; Mathematics, general; Number Theory; Geometry; Mathematics and Statistics; Zahlentheorie; Geometrie; EA; BC; BB

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.

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