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1. |
Record Nr. |
UNINA9910780892603321 |
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Autore |
Xu Jiagu |
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Titolo |
Lecture Notes on Mathematical Olympiad Courses [[electronic resource] ] : For Junior Section (In 2 Volumes) - Volume 1 |
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Pubbl/distr/stampa |
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River Edge, : World Scientific Publishing Company, 2009 |
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ISBN |
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1-282-76204-4 |
9786612762048 |
981-4293-56-3 |
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Descrizione fisica |
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1 online resource (183 p.) |
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Collana |
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Mathematical Olympiad Series ; ; v.6 |
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Disciplina |
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Soggetti |
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Electronic books. -- local |
International Mathematical Olympiad |
Mathematics -- Competitions |
Mathematics -- Problems, exercises, etc |
Mathematics - General |
Mathematics |
Physical Sciences & Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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Contents; Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; 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 |
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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 |
Testing Question (10-A) |
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Sommario/riassunto |
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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 num |
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2. |
Record Nr. |
UNINA9910794218703321 |
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Autore |
Ullman Harlan |
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Titolo |
Anatomy of failure : why America loses every war it starts / / Harlan K. Ullman |
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Pubbl/distr/stampa |
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Annapolis, Maryland : , : Naval Institute Press, , [2017] |
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©2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (272 p.) |
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Disciplina |
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Soggetti |
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National security - United States - Decision making |
United States Military policy |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Sommario/riassunto |
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"In Anatomy of Failure, Harlan Ullman asserts that presidents and administrations have consistently failed to use sound strategic thinking and lacked sufficient understanding of the circumstances prior to deciding whether or not to employ force. He analyses the records of presidents from John F. Kennedy to Barack Obama and Donald Trump in using force or starting wars. His recommended solutions begin with a "brains-based" approach to sound strategic thinking to address one of the major causes of failure--the inexperience of too many of the nation's commanders-in-chief. Ullman reinforces his argument through the use of autobiographical vignettes that in some cases making public previously unknown history."--Provided by publisher. |
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