Mathematical Circles Revisited
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| Author | : Jaakko Hintikka |
| Publisher | : Cambridge University Press |
| Total Pages | : 308 |
| Release | : 1998-04-28 |
| Genre | : Mathematics |
| ISBN | : 9780521624985 |
This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.
| Author | : Howard W. Eves |
| Publisher | : Mathematical Association of America |
| Total Pages | : 396 |
| Release | : 2004-06-24 |
| Genre | : Mathematics |
| ISBN | : 9780883855447 |
For many years, famed mathematics historian and master teacher Howard Eves collected stories and anecdotes about mathematics and mathematicians, gathering them together in six Mathematical Circles books. Thousands of teachers of mathematics have read these stories and anecdotes for their own enjoyment and used them in the classroom - to add entertainment, to introduce a human element, to inspire the student, and to forge some links of cultural history. All six of the Mathematical Circles books have been reissued as a three-volume edition. This three-volume set is a must for all who enjoy the mathematical enterprise, especially those who appreciate the human and cultural aspects of mathematics.
| Author | : Ivars Peterson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 187 |
| Release | : 2020-08-03 |
| Genre | : Mathematics |
| ISBN | : 1470458519 |
| Author | : H. S. M. Coxeter |
| Publisher | : American Mathematical Society |
| Total Pages | : 193 |
| Release | : 2021-12-30 |
| Genre | : Mathematics |
| ISBN | : 1470466414 |
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
| Author | : Howard W. Eves |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 319 |
| Release | : 2020-08-03 |
| Genre | : Mathematics |
| ISBN | : 1470457407 |
| Author | : R.W. Carroll |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 534 |
| Release | : 2002-12-31 |
| Genre | : Computers |
| ISBN | : 9781402010606 |
In this book the details of many calculations are provided for access to work in quantum groups, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge theory, quantum integrable systems, braiding, finite topological spaces, some aspects of geometry and quantum mechanics and gravity.
| Author | : Judita Cofman |
| Publisher | : |
| Total Pages | : 334 |
| Release | : 1995 |
| Genre | : Education |
| ISBN | : |
By focusing attention on the links between patterns of numbers and shapes, and on connections 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, and foster the interplay of ideas involved in problem solving.
| Author | : John Parker |
| Publisher | : MAA |
| Total Pages | : 406 |
| Release | : 2005 |
| Genre | : Biography & Autobiography |
| ISBN | : 9780883855508 |
"Publications of Robert Lee Moore"--P. 359-363.
| Author | : Martin Gardner |
| Publisher | : MAA |
| Total Pages | : 386 |
| Release | : 2006-12-14 |
| Genre | : Games & Activities |
| ISBN | : 9780883855515 |
Previously published separately, the two books aha! Gotcha and aha! Insight are here combined as a single volume. The aha! books, as they are referred to by fans of Martin Gardner, contain 144 wonderful puzzles from the reigning king of recreational mathematics. In this combined volume, you will find puzzles ranging over geometry, logic, probability, statistics, number, time, combinatorics, and word play. Gardner calls these puzzles aha! problems, that 'seem difficult, and indeed are difficult if you go about trying to solve them in traditional ways. But if you can free your mind from standard problem solving techniques, you may be receptive to an aha! reaction that leads immediately to a solution. Don't be discouraged if, at first, you have difficulty with these problems. After a while you will begin to catch the spirit of offbeat, nonlinear thinking, and you may be surprised to find your aha! ability improving.'
| Author | : Seth Braver |
| Publisher | : MAA |
| Total Pages | : 250 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0883859793 |
A historical introduction to non-Euclidean geometry.
