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Mathematical Maturity via Discrete Mathematics

Mathematical Maturity via Discrete Mathematics
Author: Vadim Ponomarenko
Publisher: Courier Dover Publications
Total Pages: 274
Release: 2019-11-13
Genre: Mathematics
ISBN: 0486838579

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Geared toward undergraduate majors in math, computer science, and computer engineering, this text employs discrete mathematics to introduce basic knowledge of proof techniques. Exercises with hints. 2019 edition.


Fundamentals of Scientific Mathematics

Fundamentals of Scientific Mathematics
Author: George E. Owen
Publisher: Courier Corporation
Total Pages: 308
Release: 2012-12-03
Genre: Mathematics
ISBN: 0486164586

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Offering undergraduates a solid mathematical background (and functioning equally well for independent study), this rewarding, beautifully illustrated text covers geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. 1961 edition.


The Nature of Mathematics

The Nature of Mathematics
Author: Philip E. B. Jourdain
Publisher: Courier Corporation
Total Pages: 82
Release: 2013-01-09
Genre: Mathematics
ISBN: 0486154963

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Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.


Journey into Mathematics

Journey into Mathematics
Author: Joseph J. Rotman
Publisher: Courier Corporation
Total Pages: 323
Release: 2013-01-18
Genre: Mathematics
ISBN: 0486151689

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This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.


Lectures on Functional Equations and Their Applications

Lectures on Functional Equations and Their Applications
Author: J. Aczel
Publisher: Courier Corporation
Total Pages: 548
Release: 2006-02-01
Genre: Mathematics
ISBN: 0486445232

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Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.


Elements of Modern Mathematics

Elements of Modern Mathematics
Author: Kenneth O, May
Publisher: Dover Publications
Total Pages: 627
Release: 2019-11-13
Genre: 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.


Approximate Calculation of Integrals

Approximate Calculation of Integrals
Author: V. I. Krylov
Publisher: Courier Corporation
Total Pages: 372
Release: 2012-01-27
Genre: Mathematics
ISBN: 048615467X

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An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.


Mathematical Logic and the Foundations of Mathematics

Mathematical Logic and the Foundations of Mathematics
Author: G. T. Kneebone
Publisher: Dover Publications
Total Pages: 0
Release: 2001
Genre: Logic, Symbolic and mathematical
ISBN: 9780486417127

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Ideal for students intending to specialize in the topic. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics. Part III focuses on the philosophy of mathematics.


Pioneering Women in American Mathematics

Pioneering Women in American Mathematics
Author: Judy Green
Publisher: American Mathematical Soc.
Total Pages: 371
Release: 2009
Genre: Biography & Autobiography
ISBN: 0821843761

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"This book is the result of a study in which the authors identified all of the American women who earned PhD's in mathematics before 1940, and collected extensive biographical and bibliographical information about each of them. By reconstructing as complete a picture as possible of this group of women, Green and LaDuke reveal insights into the larger scientific and cultural communities in which they lived and worked." "The book contains an extended introductory essay, as well as biographical entries for each of the 228 women in the study. The authors examine family backgrounds, education, careers, and other professional activities. They show that there were many more women earning PhD's in mathematics before 1940 than is commonly thought." "The material will be of interest to researchers, teachers, and students in mathematics, history of mathematics, history of science, women's studies, and sociology."--BOOK JACKET.


Vision in Elementary Mathematics

Vision in Elementary Mathematics
Author: W. W. Sawyer
Publisher: Courier Corporation
Total Pages: 370
Release: 2012-09-26
Genre: Mathematics
ISBN: 0486143627

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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.