Proofs and Fundamentals: A First Course in Abstract Mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2003
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too exces sively pedagogical, and too full to distractions. Some of features of this text are the following: (1) Symbolic logic and the use of logical notation are kept to a minimum. We discuss only what is absolutely necessary - as is the case in most advanced mathematics courses that are not focused on logic per se |
| Beschreibung: | 1 Online-Ressource (XXI, 424p) |
| ISBN: | 9781461221302 9781461274261 |
| DOI: | 10.1007/978-1-4612-2130-2 |
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| 500 | |a In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too exces sively pedagogical, and too full to distractions. Some of features of this text are the following: (1) Symbolic logic and the use of logical notation are kept to a minimum. We discuss only what is absolutely necessary - as is the case in most advanced mathematics courses that are not focused on logic per se | ||
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Datensatz im Suchindex
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| author | Bloch, Ethan D. |
| author_facet | Bloch, Ethan D. |
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| bvnumber | BV042419987 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)879621401 (DE-599)BVBBV042419987 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2130-2 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461221302 9781461274261 |
| language | English |
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| spelling | Bloch, Ethan D. Verfasser aut Proofs and Fundamentals A First Course in Abstract Mathematics by Ethan D. Bloch Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (XXI, 424p) txt rdacontent c rdamedia cr rdacarrier In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too exces sively pedagogical, and too full to distractions. Some of features of this text are the following: (1) Symbolic logic and the use of logical notation are kept to a minimum. We discuss only what is absolutely necessary - as is the case in most advanced mathematics courses that are not focused on logic per se Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematics, general Mathematik Beweistheorie (DE-588)4145177-6 gnd rswk-swf Beweistheorie (DE-588)4145177-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-2130-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bloch, Ethan D. Proofs and Fundamentals A First Course in Abstract Mathematics Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematics, general Mathematik Beweistheorie (DE-588)4145177-6 gnd |
| subject_GND | (DE-588)4145177-6 |
| title | Proofs and Fundamentals A First Course in Abstract Mathematics |
| title_auth | Proofs and Fundamentals A First Course in Abstract Mathematics |
| title_exact_search | Proofs and Fundamentals A First Course in Abstract Mathematics |
| title_full | Proofs and Fundamentals A First Course in Abstract Mathematics by Ethan D. Bloch |
| title_fullStr | Proofs and Fundamentals A First Course in Abstract Mathematics by Ethan D. Bloch |
| title_full_unstemmed | Proofs and Fundamentals A First Course in Abstract Mathematics by Ethan D. Bloch |
| title_short | Proofs and Fundamentals |
| title_sort | proofs and fundamentals a first course in abstract mathematics |
| title_sub | A First Course in Abstract Mathematics |
| topic | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematics, general Mathematik Beweistheorie (DE-588)4145177-6 gnd |
| topic_facet | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematics, general Mathematik Beweistheorie |
| url | https://doi.org/10.1007/978-1-4612-2130-2 |
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