Sinossi
This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to 'stretch' geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: 'Triangles,' 'Quadrilaterals,' 'Circles,' and 'Areas' has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.At the end of the book, the 'Solutions and Answers' section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and ― for many skeptics ― discover that learning geometry can be fun and enjoyable!
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
Kiev, Ukraine native Boris Pritsker worked as a math teacher in a special school for gifted and talented high school students with advanced programs in algebra, geometry, trigonometry, and calculus. His teaching experience led to his publication of numerous articles and problems in mathematical magazines in the former Soviet Union, United States, Australia, and Singapore.
Pritkser is the author of the internationally acclaimed books Geometrical Kaleidoscope (1st edition), Dover Publications, 2017; The Equations World, Dover Publications, 2019; Mathematical Labyrinths. Pathfinding, World Scientific, 2021; Expanding Mathematical Toolbox: Interviewing Topics, Problems, and Solutions, Chapman and Hall/CRC; 2023; and Geometrical Kaleidoscope (2nd Edition), World Scientific, 2024.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Paperback. Condizione: New. This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to "stretch" geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: "Triangles," "Quadrilaterals," "Circles," and "Areas" has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.At the end of the book, the "Solutions and Answers" section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and - for many skeptics - discover that learning geometry can be fun and enjoyable! Codice articolo LU-9789819817641
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Paperback. Condizione: new. Paperback. This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to 'stretch' geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: 'Triangles,' 'Quadrilaterals,' 'Circles,' and 'Areas' has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.At the end of the book, the 'Solutions and Answers' section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and for many skeptics discover that learning geometry can be fun and enjoyable! This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9789819817641
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Paperback. Condizione: new. Paperback. This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to 'stretch' geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: 'Triangles,' 'Quadrilaterals,' 'Circles,' and 'Areas' has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.At the end of the book, the 'Solutions and Answers' section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and for many skeptics discover that learning geometry can be fun and enjoyable! This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9789819817641
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to 'stretch' geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: 'Triangles, ' 'Quadrilaterals, ' 'Circles, ' and 'Areas' has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.At the end of the book, the 'Solutions and Answers' section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and -- for many skeptics -- discover that learning geometry can be fun and enjoyable! Codice articolo 9789819817641
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