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How to study for a mathematics degree [[electronic resource] /] / Lara Alcock
| How to study for a mathematics degree [[electronic resource] /] / Lara Alcock |
| Autore | Alcock Lara |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2012 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 510.711 |
| Soggetto topico |
Mathematics - Study and teaching (Higher)
Mathematics - Vocational guidance |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-71345-4
0-19-163736-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Symbols; Introduction; Part 1 Mathematics; 1 Calculation Procedures; 1.1 Calculation at school and at university; 1.2 Decisions about and within procedures; 1.3 Learning from few (or no) examples; 1.4 Generating your own exercises; 1.5 Writing out calculations; 1.6 Checking for errors; 1.7 Mathematics is not just procedures; 2 Abstract Objects; 2.1 Numbers as abstract objects; 2.2 Functions as abstract objects; 2.3 What kind of object is that, really?; 2.4 Objects as the results of procedures; 2.5 Hierarchical organization of objects; 2.6 Turning processes into objects
2.7 New objects: relations and binary operations2.8 New objects: symmetries; 3 Definitions; 3.1 Axioms, definitions and theorems; 3.2 What are axioms?; 3.3 What are definitions?; 3.4 What are theorems?; 3.5 Understanding definitions: even numbers; 3.6 Understanding definitions: increasing functions; 3.7 Understanding definitions: commutativity; 3.8 Understanding definitions: open sets; 3.9 Understanding definitions: limits; 3.10 Definitions and intuition; 4 Theorems; 4.1 Theorems and logical necessity; 4.2 A simple theorem about integers; 4.3 A theorem about functions and derivatives 4.4 A theorem with less familiar objects4.5 Logical language: 'if '; 4.6 Logical language: everyday uses of 'if '; 4.7 Logical language: quantifiers; 4.8 Logical language: multiple quantifiers; 4.9 Theorem rephrasing; 4.10 Understanding: logical form and meaning; 5 Proof; 5.1 Proofs in school mathematics; 5.2 Proving that a definition is satisfied; 5.3 Proving general statements; 5.4 Proving general theorems using definitions; 5.5 Definitions and other representations; 5.6 Proofs, logical deductions and objects; 5.7 Proving obvious things 5.8 Believing counterintuitive things: the harmonic series5.9 Believing counterintuitive things: Earth and rope; 5.10 Will my whole degree be proofs?; 6 Proof Types and Tricks; 6.1 General proving strategies; 6.2 Direct proof; 6.3 Proof by contradiction; 6.4 Proof by induction; 6.5 Uniqueness proofs; 6.6 Adding and subtracting the same thing; 6.7 Trying things out; 6.8 'I would never have thought of that'; 7 Reading Mathematics; 7.1 Independent reading; 7.2 Reading your lecture notes; 7.3 Reading for understanding; 7.4 Reading for synthesis; 7.5 Using summaries for revision 7.6 Reading for memory7.7 Using diagrams for memory; 7.8 Reading proofs for memory; 8 Writing Mathematics; 8.1 Recognizing good writing; 8.2 Why should a student write well?; 8.3 Writing a clear argument; 8.4 Using notation correctly; 8.5 Arrows and brackets; 8.6 Exceptions and mistakes; 8.7 Separating out the task of writing; Part 2 Study Skills; 9 Lectures; 9.1 What are lectures like?; 9.2 What are lecturers like?; 9.3 Making lectures work for you; 9.4 Tackling common problems; 9.5 Learning in lectures; 9.6 Courtesy in lectures; 9.7 Feedback on lectures; 10 Other People 10.1 Lecturers as teachers |
| Record Nr. | UNINA-9910462168003321 |
Alcock Lara
|
||
| Oxford, : Oxford University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
How to study for a mathematics degree / Lara Alcock
| How to study for a mathematics degree / Lara Alcock |
| Autore | Alcock Lara |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2012 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 510.711 |
| Soggetto topico |
Mathematics - Study and teaching (Higher)
Mathematics - Vocational guidance |
| ISBN |
0-19-163737-8
1-283-71345-4 0-19-163736-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Symbols; Introduction; Part 1 Mathematics; 1 Calculation Procedures; 1.1 Calculation at school and at university; 1.2 Decisions about and within procedures; 1.3 Learning from few (or no) examples; 1.4 Generating your own exercises; 1.5 Writing out calculations; 1.6 Checking for errors; 1.7 Mathematics is not just procedures; 2 Abstract Objects; 2.1 Numbers as abstract objects; 2.2 Functions as abstract objects; 2.3 What kind of object is that, really?; 2.4 Objects as the results of procedures; 2.5 Hierarchical organization of objects; 2.6 Turning processes into objects
2.7 New objects: relations and binary operations2.8 New objects: symmetries; 3 Definitions; 3.1 Axioms, definitions and theorems; 3.2 What are axioms?; 3.3 What are definitions?; 3.4 What are theorems?; 3.5 Understanding definitions: even numbers; 3.6 Understanding definitions: increasing functions; 3.7 Understanding definitions: commutativity; 3.8 Understanding definitions: open sets; 3.9 Understanding definitions: limits; 3.10 Definitions and intuition; 4 Theorems; 4.1 Theorems and logical necessity; 4.2 A simple theorem about integers; 4.3 A theorem about functions and derivatives 4.4 A theorem with less familiar objects4.5 Logical language: 'if '; 4.6 Logical language: everyday uses of 'if '; 4.7 Logical language: quantifiers; 4.8 Logical language: multiple quantifiers; 4.9 Theorem rephrasing; 4.10 Understanding: logical form and meaning; 5 Proof; 5.1 Proofs in school mathematics; 5.2 Proving that a definition is satisfied; 5.3 Proving general statements; 5.4 Proving general theorems using definitions; 5.5 Definitions and other representations; 5.6 Proofs, logical deductions and objects; 5.7 Proving obvious things 5.8 Believing counterintuitive things: the harmonic series5.9 Believing counterintuitive things: Earth and rope; 5.10 Will my whole degree be proofs?; 6 Proof Types and Tricks; 6.1 General proving strategies; 6.2 Direct proof; 6.3 Proof by contradiction; 6.4 Proof by induction; 6.5 Uniqueness proofs; 6.6 Adding and subtracting the same thing; 6.7 Trying things out; 6.8 'I would never have thought of that'; 7 Reading Mathematics; 7.1 Independent reading; 7.2 Reading your lecture notes; 7.3 Reading for understanding; 7.4 Reading for synthesis; 7.5 Using summaries for revision 7.6 Reading for memory7.7 Using diagrams for memory; 7.8 Reading proofs for memory; 8 Writing Mathematics; 8.1 Recognizing good writing; 8.2 Why should a student write well?; 8.3 Writing a clear argument; 8.4 Using notation correctly; 8.5 Arrows and brackets; 8.6 Exceptions and mistakes; 8.7 Separating out the task of writing; Part 2 Study Skills; 9 Lectures; 9.1 What are lectures like?; 9.2 What are lecturers like?; 9.3 Making lectures work for you; 9.4 Tackling common problems; 9.5 Learning in lectures; 9.6 Courtesy in lectures; 9.7 Feedback on lectures; 10 Other People 10.1 Lecturers as teachers |
| Record Nr. | UNINA-9910786357403321 |
|
Alcock Lara
|
||
| Oxford, : Oxford University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
How to study for a mathematics degree / / Lara Alcock
| How to study for a mathematics degree / / Lara Alcock |
| Autore | Alcock Lara |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2012 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 510.711 |
| Soggetto topico |
Mathematics - Study and teaching (Higher)
Mathematics - Vocational guidance |
| ISBN |
0-19-163737-8
1-283-71345-4 0-19-163736-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Symbols; Introduction; Part 1 Mathematics; 1 Calculation Procedures; 1.1 Calculation at school and at university; 1.2 Decisions about and within procedures; 1.3 Learning from few (or no) examples; 1.4 Generating your own exercises; 1.5 Writing out calculations; 1.6 Checking for errors; 1.7 Mathematics is not just procedures; 2 Abstract Objects; 2.1 Numbers as abstract objects; 2.2 Functions as abstract objects; 2.3 What kind of object is that, really?; 2.4 Objects as the results of procedures; 2.5 Hierarchical organization of objects; 2.6 Turning processes into objects
2.7 New objects: relations and binary operations2.8 New objects: symmetries; 3 Definitions; 3.1 Axioms, definitions and theorems; 3.2 What are axioms?; 3.3 What are definitions?; 3.4 What are theorems?; 3.5 Understanding definitions: even numbers; 3.6 Understanding definitions: increasing functions; 3.7 Understanding definitions: commutativity; 3.8 Understanding definitions: open sets; 3.9 Understanding definitions: limits; 3.10 Definitions and intuition; 4 Theorems; 4.1 Theorems and logical necessity; 4.2 A simple theorem about integers; 4.3 A theorem about functions and derivatives 4.4 A theorem with less familiar objects4.5 Logical language: 'if '; 4.6 Logical language: everyday uses of 'if '; 4.7 Logical language: quantifiers; 4.8 Logical language: multiple quantifiers; 4.9 Theorem rephrasing; 4.10 Understanding: logical form and meaning; 5 Proof; 5.1 Proofs in school mathematics; 5.2 Proving that a definition is satisfied; 5.3 Proving general statements; 5.4 Proving general theorems using definitions; 5.5 Definitions and other representations; 5.6 Proofs, logical deductions and objects; 5.7 Proving obvious things 5.8 Believing counterintuitive things: the harmonic series5.9 Believing counterintuitive things: Earth and rope; 5.10 Will my whole degree be proofs?; 6 Proof Types and Tricks; 6.1 General proving strategies; 6.2 Direct proof; 6.3 Proof by contradiction; 6.4 Proof by induction; 6.5 Uniqueness proofs; 6.6 Adding and subtracting the same thing; 6.7 Trying things out; 6.8 'I would never have thought of that'; 7 Reading Mathematics; 7.1 Independent reading; 7.2 Reading your lecture notes; 7.3 Reading for understanding; 7.4 Reading for synthesis; 7.5 Using summaries for revision 7.6 Reading for memory7.7 Using diagrams for memory; 7.8 Reading proofs for memory; 8 Writing Mathematics; 8.1 Recognizing good writing; 8.2 Why should a student write well?; 8.3 Writing a clear argument; 8.4 Using notation correctly; 8.5 Arrows and brackets; 8.6 Exceptions and mistakes; 8.7 Separating out the task of writing; Part 2 Study Skills; 9 Lectures; 9.1 What are lectures like?; 9.2 What are lecturers like?; 9.3 Making lectures work for you; 9.4 Tackling common problems; 9.5 Learning in lectures; 9.6 Courtesy in lectures; 9.7 Feedback on lectures; 10 Other People 10.1 Lecturers as teachers |
| Record Nr. | UNINA-9910818449303321 |
|
Alcock Lara
|
||
| Oxford, : Oxford University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
How to think about analysis [[electronic resource] /] / Lara Alcock
| How to think about analysis [[electronic resource] /] / Lara Alcock |
| Autore | Alcock Lara |
| Pubbl/distr/stampa | Oxford, : OUP, 2014 |
| Descrizione fisica | 1 online resource (xvii, 246 p.) : ill |
| Disciplina | 515 |
| Soggetto topico | Mathematical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9780191035371 (e-book)
9780198723530 (pbk.) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part 1: Studying Analysis -- 1: What is Analysis like? -- 2: Axioms, Definitions and Theorems -- 3: Proofs -- 4: Learning Analysis -- Part 2: Concepts in Analysis -- 5: Sequences -- 6: Series -- 7: Continuity -- 8: Differentiability -- 9: Integrability -- 10: The Real Numbers -- Conclusion -- Bibliography -- Index. |
| Record Nr. | UNINA-9910458472303321 |
|
Alcock Lara
|
||
| Oxford, : OUP, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
How to think about analysis / / Lara Alcock
| How to think about analysis / / Lara Alcock |
| Autore | Alcock Lara |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Oxford, United Kingdom : , : Oxford University Press, , 2014 |
| Descrizione fisica | 1 online resource (xvii, 246 p.) : ill |
| Disciplina | 515 |
| Soggetto topico | Mathematical analysis |
| ISBN |
0-19-103538-6
0-19-103537-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part 1: Studying Analysis -- 1: What is Analysis like? -- 2: Axioms, Definitions and Theorems -- 3: Proofs -- 4: Learning Analysis -- Part 2: Concepts in Analysis -- 5: Sequences -- 6: Series -- 7: Continuity -- 8: Differentiability -- 9: Integrability -- 10: The Real Numbers -- Conclusion -- Bibliography -- Index. |
| Record Nr. | UNINA-9910791158203321 |
|
Alcock Lara
|
||
| Oxford, United Kingdom : , : Oxford University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
How to think about analysis / / Lara Alcock
| How to think about analysis / / Lara Alcock |
| Autore | Alcock Lara |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Oxford, United Kingdom : , : Oxford University Press, , 2014 |
| Descrizione fisica | 1 online resource (xvii, 246 p.) : ill |
| Disciplina | 515 |
| Soggetto topico | Mathematical analysis |
| ISBN |
0-19-103538-6
0-19-103537-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part 1: Studying Analysis -- 1: What is Analysis like? -- 2: Axioms, Definitions and Theorems -- 3: Proofs -- 4: Learning Analysis -- Part 2: Concepts in Analysis -- 5: Sequences -- 6: Series -- 7: Continuity -- 8: Differentiability -- 9: Integrability -- 10: The Real Numbers -- Conclusion -- Bibliography -- Index. |
| Record Nr. | UNINA-9910824890003321 |
|
Alcock Lara
|
||
| Oxford, United Kingdom : , : Oxford University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wie man erfolgreich Mathematik studiert : Besonderheiten eines nicht-trivialen Studiengangs / / von Lara Alcock
| Wie man erfolgreich Mathematik studiert : Besonderheiten eines nicht-trivialen Studiengangs / / von Lara Alcock |
| Autore | Alcock Lara |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2017 |
| Descrizione fisica | 1 online resource (XVIII, 272 S. 45 Abb.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Mathematics—Study and teaching Mathematics, general Mathematics Education |
| ISBN | 3-662-50385-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Vorwort -- Symbole -- Teil I - Mathematik -- Rechenverfahren -- Abstrakte Objekte -- Sätze -- Beweise -- Beweisarten und Tricks -- Wie man Mathematik liest -- Wie man Mathematik schreibt -- Teil II - Lerntechniken fürs Studium -- Vorlesungen -- Dozenten, Kommilitonen und andere gute Geister -- Zeitmanagement -- Panik -- (Nicht) der Beste sein -- Was Mathematikdozenten tun. . |
| Record Nr. | UNINA-9910483647303321 |
|
Alcock Lara
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||