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Prelude to Mathematics (Dover Books on Mathematics)
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Mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction.
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- No mathematician can be a complete mathematician unless he is also something of a poet. — K. WeierstrassIn this lively and stimulating account, noted mathematician and educator W. W. Sawyer (Professor Emeritus, University of Toronto) defines mathematics as the classification and study of all possible patterns. It is a broad definition, but one that seems appropriate to the great scope and depth of the topic. Indeed, mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction.Gearing his approach to the layman whose grasp of things mathematical may be a bit precarious, Professor Sawyer offers a lucid, accessible introduction to the mathematician's cast of mind. Five well-written preliminary chapters explore the beauty, power and mysticism of mathematics; the role of math as an adjunct in utilitarian matters; and the concepts of pattern, generalization and unification as both tools and goals of mathematical thought.After developing this conceptual groundwork, the author goes on to treat of more advanced topics: non-Euclidean geometry, matrices, projective geometry, determinants, transformations and group theory. The emphasis here is not on mathematics with great practical utility, but on those branches which are exciting in themselves — mathematics which offers the strange, the novel, the apparently impossible — for example, an arithmetic in which no number is larger than four.Mathematicians will appreciate the author's grasp of a wide range of important mathematical topics, and his ability to illuminate the complex issues involved; laymen, especially those with a minimal math background, will appreciate the accessibility of much of the book, which affords not only a portrait of mathematics as a matchless tool for probing the nature of the universe, but a revealing glimpse of that mysterious entity called the mathematical mind. Professor Sawyer has further enhanced this new Dover edition with updated material on group theory, appearing here in English for the first time.
| Publisher | Dover Publications |
| Publication date | February 17, 2011 |
| Edition | Revised |
| Language | English |
| Print length | 224 pages |
| ISBN-10 | 9780486244013 |
| ISBN-13 | 978-0486244013 |
| Item Weight | 10.4 ounces (294.84 grams) |
| Dimensions | 5.51 x 0.47 x 8.46 inches (14 x 1.2 x 21.5 cm) |
| Part of series | Dover Books on Mathematics |
Who Should Buy?
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Mathematics Students
Ideal for high school or college students seeking a strong foundation in mathematical concepts and problem-solving skills.
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Self-Learners
Great for individuals interested in self-study to enhance their understanding of mathematics at a fundamental level.
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Educators and Tutors
Useful resource for teachers who want to present mathematical concepts engagingly and clearly to their students.
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Advanced Mathematicians
Not suitable for those with advanced knowledge looking for in-depth or specialized mathematical topics and theories.
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características y beneficios
- Accessible introduction to complex mathematical concepts.
- Explores beauty, power, and mysticism of mathematics.
- Covers advanced topics such as non-Euclidean geometry and group theory.
- Engaging for both mathematicians and laymen.
- Enhancements include updated material on group theory.
- A probing tool for understanding the universe.
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