Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA241.SPR FCT 81996 (Browse shelf) | 1 | Available |
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QA241.SPR FCT 81585 Analytic number theory, approximation theory, and special functions | QA241.SPR FCT 81603 Transcendental numbers | QA241.SPR FCT 81626 Combinatorial and additive number theory | QA241.SPR FCT 81996 A readable introduction to real mathematics | QA241.SPR FCT 82153 Elementary number theory, cryptography and codes | QA241.SPR FCT 82294 Teoria dei numeri | QA241.SPR FCT 82462 Eta products and theta series identities |
Colocação: Online
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.
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