Relay Race To Infinity The Developments In Mathematics From Euclid To Fermat
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Relay Race To Infinity The Developments In Mathematics From Euclid To Fermat
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Author : Derek Allan Holton
language : en
Publisher: World Scientific
Release Date : 2024-10-08
Relay Race To Infinity The Developments In Mathematics From Euclid To Fermat written by Derek Allan Holton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-08 with Mathematics categories.
Why were most historically important mathematicians wealthy? Why were they often lawyers and many had pastors for fathers? Why were original results sometimes discovered by two mathematicians independently within a short time of each other? Why did the Italian Fibonacci, speak Arabic?It all began a couple of years ago, when one of the authors started to write short biographies of important historical mathematicians for the teaching journal Australian Primary Mathematics Classroom. It was felt that teachers generally knew very little about the way the subject developed or the people who developed it. And it was felt that historical knowledge would help them see how the subject progressed and enable them to fit in with the historical episodes that would be of interest to students.Clearly, the book that developed contains mathematics up to the 17th century, but we are keen to set the subject in those times, to try to give short biographies of the people involved, as well as provide a perspective of the events that led up to the times and led up to the mathematics. Importantly, it is shown that the maths enterprise was not undertaken by a small few, but worked like a relay race. One or a few might take up an idea and develop it, but it often gets only so far. Later, others would take up the idea, the baton, and the relay race to find results continues.
The Relay Race To Infinity
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Author : DEREK ALLAN. STILLWELL HOLTON (JOHN.)
language : en
Publisher:
Release Date : 2025
The Relay Race To Infinity written by DEREK ALLAN. STILLWELL HOLTON (JOHN.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics categories.
"The book is not solely based on maths and the mathematicians who made important discoveries; maths and mathematicians are set against the world during their times; Maths has often been taught as a series of techniques. The human side of the topic has gotten lost. We are trying to show mathematicians as people with their own daily problems that they have to cope with. For example, Pascal and the very bad migraines that he suffered for virtually all of his life; In an effort to add a more personal side to their teaching, the various episodes in the book should enable teachers to provide their students with interesting stories. These will make the subject more compelling and will help them to remember aspects of the syllabus; We strongly believe that this approach is not only more fun, but also more enlightening; avoiding the sin of confronting students with concepts in modern form without any clues about their origins or motivation"--
Approaches To Algebra
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Author : N. Bednarz
language : en
Publisher: Springer
Release Date : 1996-06-30
Approaches To Algebra written by N. Bednarz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-30 with Education categories.
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
The Mathematician S Brain
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Author : David Ruelle
language : en
Publisher: Princeton University Press
Release Date : 2007-08-05
The Mathematician S Brain written by David Ruelle and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-05 with Mathematics categories.
Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.
The Crest Of The Peacock
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Author : George Gheverghese Joseph
language : en
Publisher: Penguin Group
Release Date : 1992
The Crest Of The Peacock written by George Gheverghese Joseph and has been published by Penguin Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Elements Of Number Theory
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-13
Elements Of Number Theory written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-13 with Mathematics categories.
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.
Stamping Through Mathematics
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Author : Robin J. Wilson
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-15
Stamping Through Mathematics written by Robin J. Wilson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-15 with Mathematics categories.
The astonishing variety and beauty of mathematical elements in stamp design is brought to life in this collection of more than 350 stamps, illustrated with mathematical figures, people, and content, each reproduced in enlarged format, in full color. It's a perfect gift book for anyone interested in stamps, or in the surprising use of mathematics in the real world. The author is widely known in the math community for his regular column on stamps in the magazine The Mathematical Intelligencer.
History In Mathematics Education
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Author : John Fauvel
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-07-31
History In Mathematics Education written by John Fauvel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-31 with Education categories.
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
The Equation That Couldn T Be Solved
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Author : Mario Livio
language : en
Publisher: Simon and Schuster
Release Date : 2005-09-19
The Equation That Couldn T Be Solved written by Mario Livio and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-19 with Mathematics categories.
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
Geometry Of Surfaces
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-02-03
Geometry Of Surfaces written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-03 with Mathematics categories.
The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. It includes exercises and informal discussions.