- Main
- Mathematics
- Visual Thinking in Mathematics
Visual Thinking in Mathematics
Marcus GiaquintoSukakah anda buku ini?
Bagaimana kualiti fail ini?
Muat turun buku untuk menilai kualitinya
Bagaimana kualiti fail yang dimuat turun?
Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemologicalfunctions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually hasepistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry,arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal toscholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.
Kategori:
Tahun:
2007
Penerbit:
Oxford University Press, USA
Bahasa:
english
Halaman:
298
ISBN 10:
0199285942
ISBN 13:
9780199285945
Fail:
PDF, 3.05 MB
Tag anda:
IPFS:
CID , CID Blake2b
english, 2007
Selama 1-5 menit fail akan dihantar ke e-mel anda.
Dalam masa 1-5 minit fail akan dihantar ke akaun Telegram anda.
Perhatian: Pastikan bahawa anda telah memautkan akaun anda kepada bot Telegram Z-Library.
Dalam masa 1-5 minit fail akan dihantar ke peranti Kindle anda.
Harap maklum: anda perlu mengesahkan setiap buku yang ingin dihantar ke Kindle anda. Semak e-mel anda untuk pasti ada e-mel pengesahan dari Amazon Kindle Support.
Penukaran menjadi sedang dijalankan
Penukaran menjadi gagal
Faedah Status Premium
- Menghantar ke pembaca elektronik
- Peningkatan had muat turun
- Tukar fail
- Lebih banyak hasil carian
- Faedah lain