Математика
  • формат pdf
  • размер 8.05 МБ
  • добавлен 13 августа 2011 г.
Tabak J. Algebra: Sets, Symbols, and the Language of Thought
Facts on File, 2011. - 538 pages. Series "The History of Mathematics".

For thousands of years, algebra consisted solely of expanding the list of problem-solving algorithms—a list of procedures similar in concept to the quadratic formula. But much of contemporary algebra focuses on identifying and describing the logical structures upon which mathematics is built. It is now clear that identifying and exploiting these structures is just as important for mathematical and scientific progress as the development of new algorithms.

Algebra, Revised Editiondescribes the history of both strands of algebraic thought. This updated resource describes some of the earliest progress in algebra as well as some of the mathematicians in Mesopotamia, Egypt, China, and Greece who contributed to this early period. It goes on to explore the many breakthroughs in algebraic techniques as well as how letters were used to represent numbers. New material has been added to the chapter on "mode" algebra, a type of mathematical research that continues to occupy the attention of many mathematicians today.
Похожие разделы
  1. Академическая и специальная литература
  2. Военные дисциплины
  3. Баллистика и динамика выстрела
  1. Академическая и специальная литература
  2. Исторические дисциплины
  3. История науки и техники
  1. Академическая и специальная литература
  2. Концепции современного естествознания (КСЕ)
  1. Академическая и специальная литература
  2. Математика
  3. Периодика по математике
  4. Историко-математические исследования
  1. Академическая и специальная литература
  2. Математика
  3. Философия математики
  1. Академическая и специальная литература
  2. Транспорт
  3. Судостроение
  4. Теория корабля, ТУС, устройство и живучесть судов
  1. Академическая и специальная литература
  2. Физика
  3. Астрономия и астрофизика
  1. Академическая и специальная литература
  2. Физика
  3. Механика
  1. Академическая и специальная литература
  2. Философские дисциплины
  3. История философии
  1. Академическая и специальная литература
  2. Философские дисциплины
  3. Философия науки и техники
  1. Документальная литература
  2. Жизнь выдающихся людей
  3. Ученые, изобретатели, деятели науки
Смотрите также

Bell E.T. The Development of Mathematics

  • формат djvu
  • размер 13.78 МБ
  • добавлен 07 февраля 2011 г.
McGraw-Hill Book Company, edition 1945. - 651 pages. In all historic times all civilized peoples have striven toward mathematics. The prehistoric origins are as irrecoverable as those of language and art, and even the civilized beginnings can only be conjectured from the behavior of primitive peoples today. Whatever its source, mathematics has come down to the present by the two main streams of number and form. The first carried along arithmetic...

Dauben J.W. Georg Cantor: His Mathematics and Philosophy of the Infinite

  • формат djvu
  • размер 4.67 МБ
  • добавлен 26 января 2012 г.
Princeton University Press, 1979. - 414 pages. One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has...

Hosch W.L. (editor) The Britannica Guide to Algebra and Trigonometry

  • формат pdf
  • размер 3.64 МБ
  • добавлен 01 ноября 2011 г.
The Rosen Publishing Group, 2011. - 538 pages. The universal language of numbers has allowed individuals to transcend cultural differences and make collaborative efforts to comprehend the world mathematically. Though many of these mathematicians may never have met the predecessors who made their own work possible, their collective works form the foundations of mathematics as it is known today. The books in this series introduce students not onl...

Kleiner I. A History of Abstract Algebra

  • формат pdf
  • размер 1.1 МБ
  • добавлен 05 апреля 2011 г.
Birkhauser, 2007. - 168 pages. This exposition provides a comprehensive historical account of the intellectual lineage behind the basic concepts, results, and theories of abstract algebra. Prior to the 19th century, the concept of "algebra" strictly referred to the study of the solution of polynomial equations. By the 20th century it came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. Abstract algebra c...

Pier J.-P. Mathematical Analysis During the 20th Century

  • формат djvu
  • размер 10.11 МБ
  • добавлен 24 декабря 2010 г.
Oxford University Press, USA, 2001. - 440 pages. For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavors to understand the developments of main trends, problems, and conjectures. It features chapters on general topology, 'classical' integration and measure theory, functional analysis, harmonic analys...

Priestley W.M. Calculus: A Liberal Art

  • формат djvu
  • размер 7.5 МБ
  • добавлен 06 сентября 2011 г.
Springer, 1998. - 445 pages. Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.

Tabak J. Beyond Geometry: A New Mathematics of Space and Form

  • формат pdf
  • размер 1.97 МБ
  • добавлен 17 августа 2011 г.
Facts on File, 2011. - 217 pages. For millennia, Euclidean geometry, the geometry of the ancient Greeks, set the standard for rigor in mathematics—it was the only branch of mathematics that had been developed axiomatically. Euclidean geometry, most philosophers and mathematicians agreed, was the language of mathematics. However, early in the 19th century, mathematicians developed geometries very different from Euclid’s simply by choosing axioms...

Tabak J. Geometry: The Language of Space and Form

  • формат pdf
  • размер 3.6 МБ
  • добавлен 18 октября 2011 г.
Facts on File, 2011. - 248 pages. 2 edition Geometric questions are frequently expressed in a language of points, lines, planes, curves, and surfaces, but humanity has always been interested in questions of line and form. Cave paintings from Lascaux, France, made during the last ice age show remarkably sophisticated pictures of wild animals. Created during the Stone Age, humans were hunting mammoths when these pictures were painted. The first w...

Tabak J. Mathematics and the Laws of Nature: Developing the Language of Science

  • формат pdf
  • размер 2.57 МБ
  • добавлен 16 августа 2011 г.
Facts on File, 2011. - 244 pages. Of all human activities, mathematics is one of the oldest. Mathematics can be found on the cuneiform tablets of the Mesopotamians, on the papyri of the Egyptians, and in texts from ancient China, the Indian subcontinent, and the indigenous cultures of Central America. Sophisticated mathematical research was carried out in the Middle East for several centuries after the birth of Muhammad, and advanced mathematics...

Tabak J. Probability and Statistics: The Science of Uncertainty

  • формат pdf
  • размер 3.12 МБ
  • добавлен 25 сентября 2011 г.
Facts on File, 2011. - 252 pages. Concepts from the fields of probability and statistics pervade our thinking-even those of us who believe in the existence of luck - and we routinely express ourselves using language borrowed from various branches of mathematics. News reports, weather reports, and even sports reports are some examples of the probabilistic and statistical thinking that seeps into our everyday lives. Probability and Statistics, R...