Fundamental Concepts of Algebra

Fundamental Concepts of Algebra PDF

Author: Bruce Elwyn Meserve

Publisher: Courier Corporation

Published: 1982-01-01

Total Pages: 324

ISBN-13: 9780486614700

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Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.

A History of Mathematics

A History of Mathematics PDF

Author: Carl B. Boyer

Publisher: John Wiley & Sons

Published: 2011-01-25

Total Pages: 695

ISBN-13: 0470630566

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The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

History of Analytic Geometry

History of Analytic Geometry PDF

Author: Carl B. Boyer

Publisher: Courier Corporation

Published: 2012-06-28

Total Pages: 306

ISBN-13: 0486154513

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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Mathematical Thought From Ancient to Modern Times, Volume 1

Mathematical Thought From Ancient to Modern Times, Volume 1 PDF

Author: Morris Kline

Publisher: Oxford University Press

Published: 1990-03-01

Total Pages: 432

ISBN-13: 0199840415

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This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

Analysis and Synthesis in Mathematics

Analysis and Synthesis in Mathematics PDF

Author: Michael Otte

Publisher: Springer Science & Business Media

Published: 1997

Total Pages: 476

ISBN-13: 9780792345701

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The book discusses the main interpretations of the classical distinction between analysis and synthesis with respect to mathematics. In the first part, this is discussed from a historical point of view, by considering different examples from the history of mathematics. In the second part, the question is considered from a philosophical point of view, and some new interpretations are proposed. Finally, in the third part, one of the editors discusses some common aspects of the different interpretations.

Apollonius of Perga's Conica

Apollonius of Perga's Conica PDF

Author: Michael Fried

Publisher: BRILL

Published: 2017-09-18

Total Pages: 512

ISBN-13: 9004350993

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This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.

Classical Algebraic Geometry

Classical Algebraic Geometry PDF

Author: Igor V. Dolgachev

Publisher: Cambridge University Press

Published: 2012-08-16

Total Pages: 653

ISBN-13: 1107017653

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This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.