| Titre : |
An Introduction to Mathematical Proofs : Textbooks in Mathematics |
| Type de document : |
texte imprimé |
| Auteurs : |
Nicholas A. Loehr, Auteur |
| Editeur : |
CRC Press |
| Année de publication : |
2020 |
| Importance : |
412 p. |
| Présentation : |
couv:ill. |
| Format : |
30cm |
| ISBN/ISSN/EAN : |
978-1-03-247522-6 |
| Langues : |
Anglais (eng) |
| Catégories : |
51 Mathématiques :510 Considérations fondamentales et générales sur les mathématiques. Fondement. Logique.:510.2 Fondements des mathématiques
|
| Mots-clés : |
logic, proofs, integers, relation and function , equivalence relation and partial orders, cardinality, real numbers. |
| Index. décimale : |
510 Principes fondamentaux des mathématiques |
| Résumé : |
An Introduction to Mathematical Proofspresents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.
New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics.
Features
Study aids including section summaries and over 1100 exercises
Careful coverage of individual proof-writing skills
Proof annotations and structural outlines clarify tricky steps in proofs
Thorough treatment of multiple quantifiers and their role in proofs
Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations |
An Introduction to Mathematical Proofs : Textbooks in Mathematics [texte imprimé] / Nicholas A. Loehr, Auteur . - CRC Press, 2020 . - 412 p. : couv:ill. ; 30cm. ISBN : 978-1-03-247522-6 Langues : Anglais ( eng)
| Catégories : |
51 Mathématiques :510 Considérations fondamentales et générales sur les mathématiques. Fondement. Logique.:510.2 Fondements des mathématiques
|
| Mots-clés : |
logic, proofs, integers, relation and function , equivalence relation and partial orders, cardinality, real numbers. |
| Index. décimale : |
510 Principes fondamentaux des mathématiques |
| Résumé : |
An Introduction to Mathematical Proofspresents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.
New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics.
Features
Study aids including section summaries and over 1100 exercises
Careful coverage of individual proof-writing skills
Proof annotations and structural outlines clarify tricky steps in proofs
Thorough treatment of multiple quantifiers and their role in proofs
Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations |
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