The Muslim Contribution to Mathematics, Al-Daffa`

Автор: Flood, Raymond; Rice, Adrian; Wilson, Robin
Название: Mathematics in Victorian Britain
ISBN: 0199601399 ISBN-13(EAN): 9780199601394
Издательство: Oxford Academ
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Описание: With a foreword by Adam Hart-Davis, this book constitutes perhaps the first general survey of the mathematics of the Victorian period. It charts the institutional development of mathematics as a profession, as well as exploring the numerous innovations made during this time, many of which are still familiar today.

Автор: John Stillwell
Название: Mathematics and Its History
ISBN: 1461426324 ISBN-13(EAN): 9781461426325
Издательство: Springer
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Цена: 7680.00 р.
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Описание: From a review of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations.

Автор: Friedman, Michael.
Название: A history of folding in mathematics :
ISBN: 331972486X ISBN-13(EAN): 9783319724867
Издательство: Springer
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Цена: 30745.00 р.
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Описание: While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised?Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete.In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.

Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana)
Название: Mathematical Methods in Engineering
ISBN: 1107037042 ISBN-13(EAN): 9781107037045
Издательство: Cambridge Academ
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Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.

Автор: Weyl, Hermann
Название: Philosophy of mathematics and natural science
ISBN: 0691141207 ISBN-13(EAN): 9780691141206
Издательство: Wiley
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Описание: Examines how advances in philosophy were led by scientific discoveries - the more humankind understood about the physical world, the more curious we became. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, this book helps readers understand science through the lens of philosophy.

Автор: Borwein
Название: Mathematicians on Creativity
ISBN: 0883855747 ISBN-13(EAN): 9780883855744
Издательство: Cambridge Academ
Цена: 3010.00 р.
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Описание: In their own words, many of the world's foremost mathematicians discuss the art and practice of their work in this book, which shines a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-calibre working mathematicians. This approach highlights the creative aspects of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Organised alphabetically, this book is meant for a general audience and is best read by browsing. It can be used as a supplementary text in mathematics history and mathematics education courses.

Автор: Al-Daffa`
Название: The Muslim Contribution to Mathematics
ISBN: 1138947393 ISBN-13(EAN): 9781138947399
Издательство: Taylor&Francis
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Описание: This book, first published in 1977, discusses the Muslim contribution to mathematics during the golden age of Muslim learning from the seventh to the thirteenth century. It was during this period that Muslim culture exerted powerful economic, political and religious influence over a large part of the civilised world. The work of the Muslim schol

Автор: Henderson
Название: Applied Nonparametric Econometrics
ISBN: 0521279682 ISBN-13(EAN): 9780521279680
Издательство: Cambridge Academ
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Описание: The majority of empirical research in economics ignores the potential benefits of nonparametric methods, while the majority of advances in nonparametric theory ignore the problems faced in applied econometrics. This book helps bridge this gap between applied economists and theoretical nonparametric econometricians, discussing basic to advanced nonparametric methods with applications.

Автор: Russell Bertrand
Название: Principles of Mathematics
ISBN: 0415487412 ISBN-13(EAN): 9780415487412
Издательство: Taylor&Francis
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Описание: A precursor to Russell`s famous Principa Mathematica, this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.

Автор: Stillwell John
Название: Reverse Mathematics: Proofs from the Inside Out
ISBN: 0691177171 ISBN-13(EAN): 9780691177175
Издательство: Wiley
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Описание:

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic.

Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the "right axiom" to prove it.

By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.