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Concepts of Modern Mathematics

Author : Ian Stewart
Publisher : Courier Corporation
Page : 367 pages
File Size : 20,31 MB
Release : 2012-05-23
Category : Mathematics
ISBN : 0486134954

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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.

Basic Concepts in Modern Mathematics

Author : John Edward Hafstrom
Publisher : Courier Corporation
Page : 209 pages
File Size : 45,59 MB
Release : 2013-01-01
Category : Mathematics
ISBN : 0486497291

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An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.

Elements of Modern Mathematics

Author : Kenneth O, May
Publisher : Dover Publications
Page : 627 pages
File Size : 27,54 MB
Release : 2019-11-13
Category : Mathematics
ISBN : 0486836576

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An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.

Introduction to Mathematical Thinking

Author : Friedrich Waismann
Publisher : Courier Corporation
Page : 292 pages
File Size : 16,12 MB
Release : 2012-08-07
Category : Mathematics
ISBN : 0486167429

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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.

Fundamental Concepts of Mathematics

Author : R. L. Goodstein
Publisher : Elsevier
Page : 334 pages
File Size : 30,7 MB
Release : 2014-07-14
Category : Mathematics
ISBN : 148315405X

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Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.

Elementary Concepts of Topology

Author : Paul Alexandroff
Publisher : Courier Corporation
Page : 68 pages
File Size : 23,4 MB
Release : 2012-08-13
Category : Mathematics
ISBN : 0486155064

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Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.