A Source Book in Mathematics, 1200-1800, Struik Dirk Jan

Автор: John Stillwell
Название: Mathematics and Its History
ISBN: 1461426324 ISBN-13(EAN): 9781461426325
Издательство: Springer
Рейтинг:
Цена: 51200.00 T
Наличие на складе: Поставка под заказ.
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
Рейтинг:
Цена: 204970.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Stillwell John
Название: Reverse Mathematics: Proofs from the Inside Out
ISBN: 0691177171 ISBN-13(EAN): 9780691177175
Издательство: Wiley
Рейтинг:
Цена: 23230.00 T
Наличие на складе: Поставка под заказ.
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.

Автор: Roberts
Название: Elliptic and Hyperelliptic Integrals and Allied Theory
ISBN: 1316607011 ISBN-13(EAN): 9781316607015
Издательство: Cambridge Academ
Рейтинг:
Цена: 40120.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originally published in 1938, this book focuses on the area of elliptic and hyperelliptic integrals and allied theory. The text was a posthumous publication by William Westropp Roberts (1850-1935), who held the position of Vice-Provost at Trinity College, Dublin from 1927 until shortly before his death.

Автор: Smilga, Voldemar (-)
Название: In the search for beauty: unravelling non-euclidean geometry
ISBN: 9813274352 ISBN-13(EAN): 9789813274358
Издательство: World Scientific Publishing
Рейтинг:
Цена: 73920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.

Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.

Автор: A.M. Ungar; A. Szab?
Название: The Beginnings of Greek Mathematics
ISBN: 9048183499 ISBN-13(EAN): 9789048183494
Издательство: Springer
Рейтинг:
Цена: 198450.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the `Elements`.

Автор: Williams, Kim
Название: Architecture and mathematics from antiquity to the future: v.I: Antiquity to the 1500s
ISBN: 3319001361 ISBN-13(EAN): 9783319001364
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order.

Автор: C. Jones
Название: Femininity, Mathematics and Science, 1880–1914
ISBN: 1349364096 ISBN-13(EAN): 9781349364091
Издательство: Springer
Рейтинг:
Цена: 83850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Through the prism of gender, this text explores the contrasting cultures and practice of mathematics and science and asks how they impacted on women. Claire Jones assesses nineteenth-century ideas about women`s intellect, femininity and masculinity, and assesses how these attitudes shaped women`s experiences as students and practitioners.

Автор: Baaz
Название: Kurt G?del and the Foundations of Mathematics
ISBN: 1107677998 ISBN-13(EAN): 9781107677999
Издательство: Cambridge Academ
Рейтинг:
Цена: 65470.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume commemorates the life, work and foundational views of Kurt Goedel by exploring the impact of his work on current research and its future implications not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science.

Автор: Rutherford
Название: Modular Invariants
ISBN: 1107493765 ISBN-13(EAN): 9781107493766
Издательство: Cambridge Academ
Рейтинг:
Цена: 20050.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originally published in 1932 as number twenty-seven in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account of the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett. Appendices are included.

Автор: Struik Dirk Jan
Название: A Source Book in Mathematics, 1200-1800
ISBN: 0691610517 ISBN-13(EAN): 9780691610511
Издательство: Wiley
Рейтинг:
Цена: 79200.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton

Название: The Golden Ratio: The Divine Beauty of Mathematics
ISBN: 163106486X ISBN-13(EAN): 9781631064869
Издательство: Quarto
Рейтинг:
Цена: 19350.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Golden Ratio is a lush volume filled with the gorgeous illustrations of renowned artist Rafael Araujo-the consummate golden ratio keepsake.