Lecture notes on Mathematical Olympiad courses :: for junior section. Vol. 1 /
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers a...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific,
©2010.
|
| Schriftenreihe: | Mathematical Olympiad series ;
v. 6. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number. |
| Beschreibung: | 1 online resource (xii, 170 pages) : illustrations |
| ISBN: | 9789814293563 9814293563 |
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| 245 | 1 | 0 | |a Lecture notes on Mathematical Olympiad courses : |b for junior section. |n Vol. 1 / |c Xu Jiagu. |
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| 505 | 0 | |a Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; Contents; 1 Operations on Rational Numbers; 1. Basic Rules on Addition, Subtraction, Multiplication, Division; 2. Rule for Removing Brackets; 3. Ingenious Ways for Calculating; Examples; Testing Questions (A); Testing Questions (B); 2 Monomials and Polynomials; Definitions; Operations on Polynomials; Examples; Testing Questions (A); Testing Questions (B); 3 Linear Equations of Single Variable; Usual Steps for Solving Equations; Examples; Testing Questions (A). | |
| 505 | 8 | |a Testing Questions (B)4 System of Simultaneous Linear Equations; Examples; Testing Questions (A); Testing Questions (B); 5 Multiplication Formulae; Basic Multiplication Formulae; Generalization of Formulae; Derived Basic Formulae; Examples; Testing Questions (A); Testing Questions (B); 6 Some Methods of Factorization; Basic Methods of Factorization; Examples; Testing Questions (A); Testing Questions (B); 7 Absolute Value and Its Applications; Basic Properties of Absolute Value; Examples; Testing Questions (A); Testing Questions (B); 8 Linear Equations with Absolute Values; Examples. | |
| 505 | 8 | |a Testing Questions (A)Testing Questions (B); 9 Sides and Angles of a Triangle; Basic Knowledge; Examples; Testing Questions (A); Testing Questions (B); 10 Pythagoras' Theorem and Its Applications; Examples; Testing Questions (A); Testing Questions (B); 11 Congruence of Triangles; Basic Criteria for Congruence of Two Triangles; Examples; Testing Questions (A); Testing Questions (B); 12 Applications of Midpoint Theorems; Examples; Testing Questions (A); Testing Questions (B); 13 Similarity of Triangles; Criteria for Similarity of Two Triangles; Basic Properties of Two Similar Triangles. | |
| 505 | 8 | |a Important Proportional Properties of SegmentsExamples; Testing Questions (A); Testing Questions (B); 14 Areas of Triangles and Applications of Area; Basic formulae for area of a triangle; Comparison of areas of triangles; Examples; Testing Questions (A); Testing Questions (B); 15 Divisions of Polynomials; Examples; Testing Questions (A); Testing Questions (B); Solutions to Testing Questions; Solutions to Testing Questions 1; Testing Questions (1-A); Testing Questions (1-B); Solutions to Testing Questions 2; Testing Questions (2-A); Testing Questions (2-B); Solutions to Testing Questions 3. | |
| 505 | 8 | |a Testing Questions (3-A)Testing Questions (3-B); Solutions to Test questions 4; Testing Questions (4-A); Testing Questions (4-B); Solutions to Testing Questions 5; Testing Question (5-A); Testing Questions (5-B); Solutions to Testing Questions (6); Testing Questions (6-A); Testing Questions (6-B); Solutions to Test Questions 7; Testing Questions (7-A); Testing Questions (7-B); Solutions to Testing Questions 8; Testing Question (8-A); Testing Questions (8-B); Solutions to Testing Questions 9; Testing Questions (9-A); Testing Questions (9-B); Solutions to Testing Questions 10. | |
| 520 | |a Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number. | ||
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| contents | Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; Contents; 1 Operations on Rational Numbers; 1. Basic Rules on Addition, Subtraction, Multiplication, Division; 2. Rule for Removing Brackets; 3. Ingenious Ways for Calculating; Examples; Testing Questions (A); Testing Questions (B); 2 Monomials and Polynomials; Definitions; Operations on Polynomials; Examples; Testing Questions (A); Testing Questions (B); 3 Linear Equations of Single Variable; Usual Steps for Solving Equations; Examples; Testing Questions (A). Testing Questions (B)4 System of Simultaneous Linear Equations; Examples; Testing Questions (A); Testing Questions (B); 5 Multiplication Formulae; Basic Multiplication Formulae; Generalization of Formulae; Derived Basic Formulae; Examples; Testing Questions (A); Testing Questions (B); 6 Some Methods of Factorization; Basic Methods of Factorization; Examples; Testing Questions (A); Testing Questions (B); 7 Absolute Value and Its Applications; Basic Properties of Absolute Value; Examples; Testing Questions (A); Testing Questions (B); 8 Linear Equations with Absolute Values; Examples. Testing Questions (A)Testing Questions (B); 9 Sides and Angles of a Triangle; Basic Knowledge; Examples; Testing Questions (A); Testing Questions (B); 10 Pythagoras' Theorem and Its Applications; Examples; Testing Questions (A); Testing Questions (B); 11 Congruence of Triangles; Basic Criteria for Congruence of Two Triangles; Examples; Testing Questions (A); Testing Questions (B); 12 Applications of Midpoint Theorems; Examples; Testing Questions (A); Testing Questions (B); 13 Similarity of Triangles; Criteria for Similarity of Two Triangles; Basic Properties of Two Similar Triangles. Important Proportional Properties of SegmentsExamples; Testing Questions (A); Testing Questions (B); 14 Areas of Triangles and Applications of Area; Basic formulae for area of a triangle; Comparison of areas of triangles; Examples; Testing Questions (A); Testing Questions (B); 15 Divisions of Polynomials; Examples; Testing Questions (A); Testing Questions (B); Solutions to Testing Questions; Solutions to Testing Questions 1; Testing Questions (1-A); Testing Questions (1-B); Solutions to Testing Questions 2; Testing Questions (2-A); Testing Questions (2-B); Solutions to Testing Questions 3. Testing Questions (3-A)Testing Questions (3-B); Solutions to Test questions 4; Testing Questions (4-A); Testing Questions (4-B); Solutions to Testing Questions 5; Testing Question (5-A); Testing Questions (5-B); Solutions to Testing Questions (6); Testing Questions (6-A); Testing Questions (6-B); Solutions to Test Questions 7; Testing Questions (7-A); Testing Questions (7-B); Solutions to Testing Questions 8; Testing Question (8-A); Testing Questions (8-B); Solutions to Testing Questions 9; Testing Questions (9-A); Testing Questions (9-B); Solutions to Testing Questions 10. |
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| genre | Problems and exercises fast |
| genre_facet | Problems and exercises |
| id | ZDB-4-EBA-ocn696128789 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:39Z |
| institution | BVB |
| isbn | 9789814293563 9814293563 |
| language | English |
| oclc_num | 696128789 |
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| physical | 1 online resource (xii, 170 pages) : illustrations |
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| series | Mathematical Olympiad series ; |
| series2 | Mathematical Olympiad series ; |
| spelling | Xu, Jiagu. Lecture notes on Mathematical Olympiad courses : for junior section. Vol. 1 / Xu Jiagu. Singapore ; Hackensack, N.J. : World Scientific, ©2010. 1 online resource (xii, 170 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematical Olympiad series ; vol. 6 Print version record. Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; Contents; 1 Operations on Rational Numbers; 1. Basic Rules on Addition, Subtraction, Multiplication, Division; 2. Rule for Removing Brackets; 3. Ingenious Ways for Calculating; Examples; Testing Questions (A); Testing Questions (B); 2 Monomials and Polynomials; Definitions; Operations on Polynomials; Examples; Testing Questions (A); Testing Questions (B); 3 Linear Equations of Single Variable; Usual Steps for Solving Equations; Examples; Testing Questions (A). Testing Questions (B)4 System of Simultaneous Linear Equations; Examples; Testing Questions (A); Testing Questions (B); 5 Multiplication Formulae; Basic Multiplication Formulae; Generalization of Formulae; Derived Basic Formulae; Examples; Testing Questions (A); Testing Questions (B); 6 Some Methods of Factorization; Basic Methods of Factorization; Examples; Testing Questions (A); Testing Questions (B); 7 Absolute Value and Its Applications; Basic Properties of Absolute Value; Examples; Testing Questions (A); Testing Questions (B); 8 Linear Equations with Absolute Values; Examples. Testing Questions (A)Testing Questions (B); 9 Sides and Angles of a Triangle; Basic Knowledge; Examples; Testing Questions (A); Testing Questions (B); 10 Pythagoras' Theorem and Its Applications; Examples; Testing Questions (A); Testing Questions (B); 11 Congruence of Triangles; Basic Criteria for Congruence of Two Triangles; Examples; Testing Questions (A); Testing Questions (B); 12 Applications of Midpoint Theorems; Examples; Testing Questions (A); Testing Questions (B); 13 Similarity of Triangles; Criteria for Similarity of Two Triangles; Basic Properties of Two Similar Triangles. Important Proportional Properties of SegmentsExamples; Testing Questions (A); Testing Questions (B); 14 Areas of Triangles and Applications of Area; Basic formulae for area of a triangle; Comparison of areas of triangles; Examples; Testing Questions (A); Testing Questions (B); 15 Divisions of Polynomials; Examples; Testing Questions (A); Testing Questions (B); Solutions to Testing Questions; Solutions to Testing Questions 1; Testing Questions (1-A); Testing Questions (1-B); Solutions to Testing Questions 2; Testing Questions (2-A); Testing Questions (2-B); Solutions to Testing Questions 3. Testing Questions (3-A)Testing Questions (3-B); Solutions to Test questions 4; Testing Questions (4-A); Testing Questions (4-B); Solutions to Testing Questions 5; Testing Question (5-A); Testing Questions (5-B); Solutions to Testing Questions (6); Testing Questions (6-A); Testing Questions (6-B); Solutions to Test Questions 7; Testing Questions (7-A); Testing Questions (7-B); Solutions to Testing Questions 8; Testing Question (8-A); Testing Questions (8-B); Solutions to Testing Questions 9; Testing Questions (9-A); Testing Questions (9-B); Solutions to Testing Questions 10. Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number. International Mathematical Olympiad. http://id.loc.gov/authorities/names/n2002160737 International Mathematical Olympiad fast Mathematics Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85082154 Mathematics Competitions. http://id.loc.gov/authorities/subjects/sh85082144 MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Essays. bisacsh Mathematics fast Mathematics Competitions fast Problems and exercises fast Print version: Xu, Jiagu. Lecture notes on mathematical olympiad courses. Singapore : World Scientific, ©2010 9814293547 (OCoLC)498932414 Mathematical Olympiad series ; v. 6. http://id.loc.gov/authorities/names/no2009189669 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340655 Volltext |
| spellingShingle | Xu, Jiagu Lecture notes on Mathematical Olympiad courses : for junior section. Mathematical Olympiad series ; Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; Contents; 1 Operations on Rational Numbers; 1. Basic Rules on Addition, Subtraction, Multiplication, Division; 2. Rule for Removing Brackets; 3. Ingenious Ways for Calculating; Examples; Testing Questions (A); Testing Questions (B); 2 Monomials and Polynomials; Definitions; Operations on Polynomials; Examples; Testing Questions (A); Testing Questions (B); 3 Linear Equations of Single Variable; Usual Steps for Solving Equations; Examples; Testing Questions (A). Testing Questions (B)4 System of Simultaneous Linear Equations; Examples; Testing Questions (A); Testing Questions (B); 5 Multiplication Formulae; Basic Multiplication Formulae; Generalization of Formulae; Derived Basic Formulae; Examples; Testing Questions (A); Testing Questions (B); 6 Some Methods of Factorization; Basic Methods of Factorization; Examples; Testing Questions (A); Testing Questions (B); 7 Absolute Value and Its Applications; Basic Properties of Absolute Value; Examples; Testing Questions (A); Testing Questions (B); 8 Linear Equations with Absolute Values; Examples. Testing Questions (A)Testing Questions (B); 9 Sides and Angles of a Triangle; Basic Knowledge; Examples; Testing Questions (A); Testing Questions (B); 10 Pythagoras' Theorem and Its Applications; Examples; Testing Questions (A); Testing Questions (B); 11 Congruence of Triangles; Basic Criteria for Congruence of Two Triangles; Examples; Testing Questions (A); Testing Questions (B); 12 Applications of Midpoint Theorems; Examples; Testing Questions (A); Testing Questions (B); 13 Similarity of Triangles; Criteria for Similarity of Two Triangles; Basic Properties of Two Similar Triangles. Important Proportional Properties of SegmentsExamples; Testing Questions (A); Testing Questions (B); 14 Areas of Triangles and Applications of Area; Basic formulae for area of a triangle; Comparison of areas of triangles; Examples; Testing Questions (A); Testing Questions (B); 15 Divisions of Polynomials; Examples; Testing Questions (A); Testing Questions (B); Solutions to Testing Questions; Solutions to Testing Questions 1; Testing Questions (1-A); Testing Questions (1-B); Solutions to Testing Questions 2; Testing Questions (2-A); Testing Questions (2-B); Solutions to Testing Questions 3. Testing Questions (3-A)Testing Questions (3-B); Solutions to Test questions 4; Testing Questions (4-A); Testing Questions (4-B); Solutions to Testing Questions 5; Testing Question (5-A); Testing Questions (5-B); Solutions to Testing Questions (6); Testing Questions (6-A); Testing Questions (6-B); Solutions to Test Questions 7; Testing Questions (7-A); Testing Questions (7-B); Solutions to Testing Questions 8; Testing Question (8-A); Testing Questions (8-B); Solutions to Testing Questions 9; Testing Questions (9-A); Testing Questions (9-B); Solutions to Testing Questions 10. International Mathematical Olympiad. http://id.loc.gov/authorities/names/n2002160737 International Mathematical Olympiad fast Mathematics Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85082154 Mathematics Competitions. http://id.loc.gov/authorities/subjects/sh85082144 MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Essays. bisacsh Mathematics fast Mathematics Competitions fast |
| subject_GND | http://id.loc.gov/authorities/names/n2002160737 http://id.loc.gov/authorities/subjects/sh85082154 http://id.loc.gov/authorities/subjects/sh85082144 |
| title | Lecture notes on Mathematical Olympiad courses : for junior section. |
| title_auth | Lecture notes on Mathematical Olympiad courses : for junior section. |
| title_exact_search | Lecture notes on Mathematical Olympiad courses : for junior section. |
| title_full | Lecture notes on Mathematical Olympiad courses : for junior section. Vol. 1 / Xu Jiagu. |
| title_fullStr | Lecture notes on Mathematical Olympiad courses : for junior section. Vol. 1 / Xu Jiagu. |
| title_full_unstemmed | Lecture notes on Mathematical Olympiad courses : for junior section. Vol. 1 / Xu Jiagu. |
| title_short | Lecture notes on Mathematical Olympiad courses : |
| title_sort | lecture notes on mathematical olympiad courses for junior section |
| title_sub | for junior section. |
| topic | International Mathematical Olympiad. http://id.loc.gov/authorities/names/n2002160737 International Mathematical Olympiad fast Mathematics Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85082154 Mathematics Competitions. http://id.loc.gov/authorities/subjects/sh85082144 MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Essays. bisacsh Mathematics fast Mathematics Competitions fast |
| topic_facet | International Mathematical Olympiad. International Mathematical Olympiad Mathematics Problems, exercises, etc. Mathematics Competitions. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. MATHEMATICS Essays. Mathematics Mathematics Competitions Problems and exercises |
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| work_keys_str_mv | AT xujiagu lecturenotesonmathematicalolympiadcoursesforjuniorsectionvol1 |