introduction to mathematical thinking the formation of concepts in modern mathematics dover books on mathematics

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Introduction To Mathematical Thinking

Author : Friedrich Waismann
ISBN : 9780486167428
Genre : Mathematics
File Size : 22. 92 MB
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Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.

Concepts Of Modern Mathematics

Author : Ian Stewart
ISBN : 9780486134956
Genre : Mathematics
File Size : 39. 9 MB
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Mathematics

Author : A. D. Aleksandrov
ISBN : 9780486157870
Genre : Mathematics
File Size : 27. 24 MB
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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

Introductory Real Analysis

Author : A. N. Kolmogorov
ISBN : 9780486134741
Genre : Mathematics
File Size : 51. 5 MB
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Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.

Calculus Of Variations

Author : I. M. Gelfand
ISBN : 9780486135014
Genre : Mathematics
File Size : 84. 99 MB
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Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

The Development Of Mathematics

Author : E. T. Bell
ISBN : 9780486152288
Genre : Mathematics
File Size : 79. 66 MB
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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Experiments In Topology

Author : Stephen Barr
ISBN : 9780486152745
Genre : Mathematics
File Size : 49. 51 MB
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Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.

Modern Quantum Chemistry

Author : Attila Szabo
ISBN : 9780486134598
Genre : Science
File Size : 78. 5 MB
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This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.

Matrices And Linear Algebra

Author : Hans Schneider
ISBN : 9780486139302
Genre : Mathematics
File Size : 53. 87 MB
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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

The Great Mathematical Problems

Author : Ian Stewart
ISBN : 9781847653512
Genre : Mathematics
File Size : 53. 41 MB
Format : PDF, ePub
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There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

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