Numbers and Shapes Revisited: More Problems for Young Mathematicians - Brossura

Cofman, Judita

Brossura

ISBN 10: 0198534604 ISBN 13: 9780198534600

Casa editrice: Clarendon Press, 1995

Riassunto

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.

Su questo libro

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

Dettagli dell?edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 0198534604
• ISBN 13: 9780198534600
• Rilegatura: Copertina flessibile
• Numero di pagine: 320
• Contatto del produttore: non disponibile
• Persona responsabile: Ufficio Anagrafiche Messaggerie; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; 20090; Italia