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Mathematics is primarily concerned with problem solving, and there is no better way of gaining an understanding of mathematics than by developing the independent thinking and ability to solve problems (and to set them). The mathematics syllabuses in today's secondary schools contain a wide range of notions and basic facts from various mathematical disciplines. Pupils interested in mathematics should be encouraged to explore the connections between the different topics they encounter, and this book attempts to help in pointing out these connections.
By focusing attention on the links between patterns of numbers and shapes, and on between algebraic relations and geometric and combinatorial configurations, the book aims to
* motivate deeper study of the concepts related to elementary mathematics
* emphasize the importance of the interrelations between mathematical phenomena
* foster the interplay of ideas involved in problem solving
The material is presented in the form of problems and will prove invaluable and enjoyable for pupils, their teachers, and those studying mathematics or its teaching at university.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
comprises 10 really interesting extended exercises in problem solving, with solutions, ranging from the Chinese remainder theorem to geometry in four dimensions (Ian Stewart, New Scientist, September 1995)
Excellent resource for independent study or problem-solving seminars. (American Mathematical Monthly)
Contenuti
- 1: The Fibonacci sequence, generalized Fibonacci sequences, and related topics
- 2: Patterns of dots and partitions of integers
- 3: Patterns, related to rational numbers: periodic decimal fractions, repunits, and visible lattice points
- 4: Reflected light rays and real numbers: a theorem of Kronecker
- 5: The Chinese remainder theorem and invisible lattice points
- 6: Two famous inequalities and some related problems
- 7: "Mysteries" of the their dimension: on cubes, pyramids, and spheres
- 8: A Glimpse of higher-dimensional spaces: hypercubes, lattice paths, and related number patterns
- 9: Do it with groups
- 10: From puzzles to research topics: selected problems of combinatorics
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Numbers and Shapes Revisited: More Problems for Young Mathematicians
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Numbers and Shapes Revisited. More Problems for Young Mathematicians
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Oxford. Clarendon Press, 1995
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Numbers and Shapes Revisited: More Problems for Young Mathematicians (Oxford Science Publications)
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Numbers and Shapes Revisited More Problems for Young Mathematicians
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Oxford University Press, New York, 1995
ISBN 10: 0198534604
ISBN 13: 9780198534600
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Softcover. Condizione: Very Good+. Only slight wear to card covers ; A bright, solid book.; Trade PB; Oxford Science Publications; B&W Illustrations; 9.10 X 6.10 X 0.80 inches; 308 pages; Numbers and Shapes Revisited is the ideal guide for high school and undergraduate students seeking to understand the connections between the wide range of mathematical methods and concepts that they may come across in their curriculum. Topics include elementary number theory, classical algebra, euclidean geometry, group theory, and combinatorics. Stimulating and enjoyable, the book will promote independent thinking and the ability to pose and answer questions. Codice articolo 16352
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Numbers and Shapes Revisited: More Problems for Young Mathematicians (eng)
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Numbers and Shapes Revisited: More Problems for Young Mathematicians
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Clarendon Press, Oxford, 1995
ISBN 10: 0198534604
ISBN 13: 9780198534600
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Numbers and Shapes Revisited: More Problems for Young Mathematicians (Oxford Science Publications)
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Numbers and Shapes Revisited: More Problems for Young Mathematicians
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Oxford University Press, 1995
ISBN 10: 0198534604
ISBN 13: 9780198534600
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