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What is Mathematics?
  • Language: en
  • Pages: 566

What is Mathematics?

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Mathematics
  • Language: en
  • Pages: 180

Mathematics

Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.

What is Mathematics, Really?
  • Language: en
  • Pages: 343

What is Mathematics, Really?

Reflecting an insider's view of mathematical life, the author argues that mathematics must be historically evolved, and intelligible only in a social context.

Philosophy of Mathematics
  • Language: en
  • Pages: 600

Philosophy of Mathematics

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

Encyclopaedia of Pure Mathematics
  • Language: en
  • Pages: 448

Encyclopaedia of Pure Mathematics

  • Type: Book
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  • Published: 1847
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  • Publisher: Unknown

None

Multiple Perspectives on Mathematics Teaching and Learning
  • Language: en
  • Pages: 278

Multiple Perspectives on Mathematics Teaching and Learning

Authors analyze mathematics education from a range of perspectives. They address such practical problems as: maximizing the impact of teacher education programmes; increasing learning opportunities for students working in groups; and the impact of male domination in mixed classrooms.

Science and Civilisation in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth
  • Language: en
  • Pages: 926

Science and Civilisation in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth

After two volumes mainly introductory, Dr Needham now embarks upon his systematic study of the development of the natural sciences in China. The Sciences of the Earth follow: geography and cartography, geology, seismology and mineralogy. Dr Needham distinguishes parallel traditions of scientific cartography and religious cosmography in East and West, discussing orbocentric wheel-maps, the origins of the rectangular grid system, sailing charts and relief maps, Chinese survey methods, and the impact of Renaissance cartography on the East. Finally-and here Dr Needham's work has no Western predecessors-there are full accounts of the Chinese contribution to geology and mineralogy.

Ancient Egyptian Science: Ancient Egyptian mathematics
  • Language: en
  • Pages: 462

Ancient Egyptian Science: Ancient Egyptian mathematics

Provides an in-depth look at the state of the sciences in ancient Egypt, including discussion of philosophy, astronomy, and mathematics.

New Common Entrance Mathematics
  • Language: en
  • Pages: 224

New Common Entrance Mathematics

Covering all the topics included in the Primary Mathematics syllabus for the Caribbean countries, this textbook, and the corresponding workbook, are designed to prepare pupils for the Common Entrance Examination. They are also suitable for less able pupils who are in the early stages of the secondary-school course.

Women in Mathematics
  • Language: en
  • Pages: 185

Women in Mathematics

  • Type: Book
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  • Published: 1975
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  • Publisher: MIT Press

Examines the lives and scholarly endeavors of women who have profoundly affected mathematical thought since antiquity