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The Theory of Matrices in Numerical Analysis
The Theory of Matrices in Numerical Analysis
This book represents an effort to select and present certain aspects of the theory of matrices that are most useful in developing and appraising computational methods for solving systems of linear equations (including the inversion of matrices) and for finding characteristic roots. The solution of linear inequalities and the problems of linear...
Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics
Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics
This volume is based on a series of lectures on matrix calculus and tensor calculus, and their applications, given under the sponsorship of the Engineering, Science, and Management War Training (ESMWT) program, from August 1942 to March 1943. The group taking the course included a considerable number of outstanding research engineers and directors...
The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)
The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)
Since 1934 the analytic theory of numbers has been largely transformed by the \vork of Vinogradov. This \vork, which has led to remarkable ne\v results, is characterized by its supreme ingenuity and great power.

Vinogradov has expounded his method and its applications in a series of papers and in two monographs 1), which appeared in 1937
...
Thermodynamics
Thermodynamics
In this classic of modern science, the Nobel Laureate presents a clear treatment of systems, the First and Second Laws of Thermodynamics, entropy, thermodynamic potentials, and much more. Calculus required.

THIS book ori~nated in a course of lectures held at Columbia University, New York, during the summer session of
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The Green Book of Mathematical Problems
The Green Book of Mathematical Problems
There is a famous set of fairy tale books, each volume of which is designated by the colour of its cover: The Red Book, The Blue Book, The Yellow Book, etc. We are not presenting you with The Green Book of fairy stories. but rather a book of mathematical problems. However, the conceptual idea of all fairy stories, that of mystery, search, and...
Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics)
Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics)
This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal,...
Advanced Euclidean Geometry (Dover Books on Mathematics)
Advanced Euclidean Geometry (Dover Books on Mathematics)
Tms book deals with the geometry of the triangle and the circle, as developed extensively in the nineteenth century by British and Continental writers. This geometry, based entirely on the elementary plane geometry of Euclid or its modern equivalent, is rapidly coming to its due recognition as excellent material for college courses. Perhaps in no...
Recreations in the Theory of Numbers
Recreations in the Theory of Numbers
WHILE the author was a student, an enthusiastic mathematics professor recommended to the class a book entitled Mathematical Recreations and Essays, by W. W. R. Ball. The students dutifully made a note of the title and most of them no doubt promptly forgot about it. Many years later when the book was mentioned to several of the author's own classes,...
Mathematical Recreations
Mathematical Recreations
IN October, 1941, I was invited to give a course of lectures at the New School for Social Research in New York City on the general topic, "Mathematical Recreations." On these lectures this book is based.

It may also be regarded as a revised edition of my similar work, published in French, entitled, "La Mathematique des
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The Log Cabin Book: A Complete Builder's Guide to Small Homes and Shelters
The Log Cabin Book: A Complete Builder's Guide to Small Homes and Shelters

This vintage guide from over a century ago offers timeless, practical advice on building log cabins. Plans and directions for simple structures are easy enough for amateurs to follow; time and inclination are the only necessary elements. Each of the designs has been tested and allows numberless alterations to suit the builder's tastes and...

Essays on the Theory of Numbers
Essays on the Theory of Numbers
Two most important essays by the famous German mathematician: First provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. Second is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.

MY attention was first directed toward
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The Continuum: A Critical Examination of the Foundation of Analysis
The Continuum: A Critical Examination of the Foundation of Analysis
Concise classic consists of two chapters dealing with the conceptual problem posed by the continuum—the set of all real numbers. Chapter One deals with the logic and mathematics of set and function, while Chapter Two focuses on the concept of number and the continuum. Advanced-level mathematical landmark will interest anyone working in...
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