Daniel Rosenthal & David Rosenthal 
A Readable Introduction to Real Mathematics [PDF ebook] 

Ủng hộ

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.

€41.64
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Mục lục

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.

Giới thiệu về tác giả

Daniel Rosenthal is a mathematics student at the University of Toronto. David Rosenthal is Associate Professor of Mathematics at St. John’s University in New York City. Peter Rosenthal is Professor Emeritus of Mathematics at the University of Toronto.

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Ngôn ngữ Anh ● định dạng PDF ● Trang 161 ● ISBN 9783319056548 ● Nhà xuất bản Springer International Publishing ● Thành phố Cham ● Quốc gia CH ● Được phát hành 2014 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 3311751 ● Sao chép bảo vệ DRM xã hội

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