prelude to mathematics dover books on mathematics

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Prelude To Mathematics

Author : W. W. Sawyer
ISBN : 9780486152776
Genre : Mathematics
File Size : 29. 7 MB
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This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.

Vision In Elementary Mathematics

Author : W. W. Sawyer
ISBN : 9780486143620
Genre : Mathematics
File Size : 75. 99 MB
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Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.

A First Look At Numerical Functional Analysis

Author : W. W. Sawyer
ISBN : 9780486478821
Genre : Mathematics
File Size : 37. 32 MB
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Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.

A Concrete Approach To Abstract Algebra

Author : W. W. Sawyer
ISBN : 9780486833316
Genre : Mathematics
File Size : 84. 73 MB
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Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.

The Historical Roots Of Elementary Mathematics

Author : Lucas N. H. Bunt
ISBN : 9780486139685
Genre : Mathematics
File Size : 41. 6 MB
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Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems examines their origins in early Egyptian, Babylonian, and Greek sources.

Mathematician S Delight

Author : W. W. Sawyer
ISBN : 9780486137001
Genre : Mathematics
File Size : 81. 17 MB
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"Recommended with confidence" by The Times Literary Supplement, this lively survey was written by a renowned teacher. It starts with arithmetic and algebra, gradually proceeding to trigonometry and calculus. 1943 edition.

Mathematics And Logic

Author : Mark Kac
ISBN : 9780486670850
Genre : Philosophy
File Size : 58. 66 MB
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Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

A Mathematical Prelude To The Philosophy Of Mathematics

Author : Stephen Pollard
ISBN : 9783319058160
Genre : Science
File Size : 90. 41 MB
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This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in philosophy of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Gödel's theorems, interpretability, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.

Mathematics And The Physical World

Author : Morris Kline
ISBN : 9780486136318
Genre : Mathematics
File Size : 24. 54 MB
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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

The Search For Pattern

Author : Walter Warwick Sawyer
ISBN : IND:30000114286192
Genre : Mathematics
File Size : 90. 88 MB
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