On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics PDF Author: Augustus De Morgan
Publisher: Courier Corporation
ISBN: 0486155153
Category : Mathematics
Languages : en
Pages : 308

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Book Description
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks. Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics PDF Author: Augustus De Morgan
Publisher: Courier Corporation
ISBN: 0486155153
Category : Mathematics
Languages : en
Pages : 308

Get Book Here

Book Description
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks. Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

Mathematics as Sign

Mathematics as Sign PDF Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 9780804736848
Category : Mathematics
Languages : en
Pages : 188

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Book Description
In this book, Rotman argues that mathematics is a vast and unique man-made imagination machine controlled by writing. It addresses both aspects—mental and linguistic—of this machine. The essays in this volume offer an insight into Rotman's project, one that has been called "one of the most original and important recent contributions to the philosophy of mathematics."

Numerical Control: Part A

Numerical Control: Part A PDF Author: Emmanuel Trélat
Publisher: Elsevier
ISBN: 0323850596
Category : Mathematics
Languages : en
Pages : 594

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Book Description
Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control

Methods of Mathematics Applied to Calculus, Probability, and Statistics

Methods of Mathematics Applied to Calculus, Probability, and Statistics PDF Author: Richard W. Hamming
Publisher: Courier Corporation
ISBN: 0486138879
Category : Mathematics
Languages : en
Pages : 882

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Book Description
This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

The Enjoyment of Mathematics

The Enjoyment of Mathematics PDF Author: Hans Rademacher
Publisher: Courier Corporation
ISBN: 9780486262420
Category : Mathematics
Languages : en
Pages : 228

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Book Description
Requiring only a basic background in plane geometry and elementary algebra, this classic poses 28 problems that introduce the fundamental ideas that make mathematics truly exciting. "Excellent . . . a thoroughly enjoyable sampler of fascinating mathematical problems and their solutions"—Science Magazine.

Intriguing Mathematical Problems

Intriguing Mathematical Problems PDF Author: Oswald Jacoby
Publisher: Courier Corporation
ISBN: 9780486292618
Category : Science
Languages : en
Pages : 210

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Book Description
Treasury of stimulating, challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, whole numbers, more. The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, Mr. Wright and the Insurance Salesman, many others. No advanced math needed. Solutions included.

The Development of Mathematics

The Development of Mathematics PDF Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Category : Mathematics
Languages : en
Pages : 657

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Book Description
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.

Principia Mathematica

Principia Mathematica PDF Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696

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Book Description


Methods of Applied Mathematics

Methods of Applied Mathematics PDF Author: Francis B. Hildebrand
Publisher: Courier Corporation
ISBN: 0486138380
Category : Mathematics
Languages : en
Pages : 386

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Book Description
This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.

Disquisitiones Arithmeticae

Disquisitiones Arithmeticae PDF Author: Carl Friedrich Gauss
Publisher: Springer
ISBN: 1493975609
Category : Mathematics
Languages : en
Pages : 491

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Book Description
Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .