Mathematician Ian Stewart tells readers what he wishes he had known when he was a student.
Author: Ian Stewart
Publisher: Basic Books
ISBN: 0465082327
Category: Mathematics
Page: 224
View: 527
Mathematician Ian Stewart tells readers what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical-what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.
The first is that many students quickly come to dislike mathematics as they pass through the school system. They find it rigid, boring, repetitive, and, worst of all, difficult. Answers are either right or wrong, and no amount of clever ...
Author: Ian Stewart
Publisher: Hachette UK
ISBN: 9780465008414
Category: Mathematics
Page: 224
View: 331
The first scientific entry in the acclaimed Art of Mentoring series from Basic Books, Letters to a Young Mathematician tells readers what Ian Stewart wishes he had known when he was a student and young faculty member. Subjects ranging from the philosophical to the practical -- what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others -- are dealt with in Stewart's much-admired style, which combines subtle, easygoing humor with a talent for cutting to the heart of the matter. In the tradition of G.H. Hardy's classic A Mathematician's Apology, this book is sure to be a perennial favorite with students at all levels, as well as with other readers who are curious about the frequently incomprehensible world of mathematics.
Shares what the author wishes he had known when he was a student, such as the relationship between logic and proof, the function of beauty in mathematical thinking, and how to handle the peculiarities of the mathematical community.
Author: Ian Stewart
Publisher: Turtleback Books
ISBN: 1417780649
Category: Mathematics
Page:
View: 494
Shares what the author wishes he had known when he was a student, such as the relationship between logic and proof, the function of beauty in mathematical thinking, and how to handle the peculiarities of the mathematical community.
Letters of Advice Seneca's practice of couching advice or commentary on a particular topic in the form of letters has ... Sanford Brustein) Letters to a BuddhistJew (Akiva Tatz and David Gottlieb) Letters to a Young Mathematician (Ian ...
Author: Patrick Gray
Publisher: Baker Books
ISBN: 9780801039225
Category: Religion
Page: 192
View: 722
An experienced teacher provides an accessible textbook on the Pauline letters that orients beginning students to the genre in which Paul writes.
With an Appendix of Practical Gauging John Ward Samuel Clark (Teacher of mathematics). 2. The Indices last found , are the two Extreams of four Numbers in Arithmetical Progreffion , the lesser Mean being the Index of the first Letter of ...
The Indices last found , are the two Extreams of four Nonbers in Arithmetical Progression , the leffer Mean being the Index of the first Letter of the third Word ; and the greater Mean is the Index of the fourth and laft Letter of the ...
He is talking to someone who is committed to mathematics, and is worried about how to make a living at it. Of course, there is a very realistic kind of ... Over 20 are listed in the front matter of “Letters to a Young Mathematician.
Author: Reuben Hersh
Publisher: American Mathematical Soc.
ISBN: 9780821894200
Category: Mathematics
Page: 282
View: 745
The question ``What am I doing?'' haunts many creative people, researchers, and teachers. Mathematics, poetry, and philosophy can look from the outside sometimes as ballet en pointe, and at other times as the flight of the bumblebee. Reuben Hersh looks at mathematics from the inside; he collects his papers written over several decades, their edited versions, and new chapters in his book Experiencing Mathematics, which is practical, philosophical, and in some places as intensely personal as Swann's madeleine. --Yuri Manin, Max Planck Institute, Bonn, Germany What happens when mid-career a mathematician unexpectedly becomes philosophical? These lively and eloquent essays address the questions that arise from a crisis of reflectiveness: What is a mathematical proof and why does it come after, not before, mathematical revelation? Can mathematics be both real and a human artifact? Do mathematicians produce eternal truths, or are the judgments of the mathematical community quasi-empirical and historically framed? How can we be sure that an infinite series that seems to converge really does converge? This collection of essays by Reuben Hersh makes an important contribution. His lively and eloquent essays bring the reality of mathematical research to the page. He argues that the search for foundations is misleading, and that philosophers should shift from focusing narrowly on the deductive structure of proof, to tracing the broader forms of quasi-empirical reasoning that star the history of mathematics, as well as examining the nature of mathematical communities and how and why their collective judgments evolve from one generation to the next. If these questions keep you up at night, then you should read this book. And if they don't, then you should read this book anyway, because afterwards, they will! --Emily Grosholz, Department of Philosophy, Penn State, Pennsylvania, USA Most mathematicians, when asked about the nature and meaning of mathematics, vacillate between the two unrealistic poles of Platonism and formalism. By looking carefully at what mathematicians really do when they are doing mathematics, Reuben Hersh offers an escape from this trap. This book of selected articles and essays provides an honest, coherent, and clearly understandable account of mathematicians' proof as it really is, and of the existence and reality of mathematical entities. It follows in the footsteps of Poincare, Hadamard, and Polya. The pragmatism of John Dewey is a better fit for mathematical practice than the dominant ``analytic philosophy''. Dialogue, satire, and fantasy enliven the philosophical and methodological analysis. Reuben Hersh has written extensively on mathematics, often from the point of view of a philosopher of science. His book with Philip Davis, The Mathematical Experience, won the National Book Award in science. Hersh is emeritus professor of mathematics at the University of New Mexico.
The Indices last found , are the Two Extreames of Four Numbers in Arithmetical Progression , the Lefler Mean being the Index of the First Letter of the Third Word And the Greater Mean is the Index of the Fourth and Last Letter of the ...
The Indices last found , are the two Extreams of four Numbers in Arithmetical Progression , the lesser Mean being the Index of the first Letter of the third Word ; and the greater Mean is the Index of the fourth and laft Letter of the ...
The Third and last Letter of the Second Word , Also the Third Letter of the Third Word , are the same with the Second Letter of the first Word . Hence the Letters will stand thus , Soli Deo Glo ' * it 4 2 na ,, ee ܝ 41 7.