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The Theory of Matrices in Numerical AnalysisThis 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... | | | | |
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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 ... | | The Green Book of Mathematical ProblemsThere 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)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, ... |
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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 NumbersWHILE 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 RecreationsIN 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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Mathematical PuzzlingMany of those who read this book will be interested in the puzzles and investigations for their own sake. Everyone will, I trust, find some things that are new - perhaps even refreshing, And I hope that those who teach mathematics win find the collection especially useful. The problems will challenge and stimulate able youngsters in a way which... | | Essays on the Theory of NumbersTwo 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... | | The Continuum: A Critical Examination of the Foundation of AnalysisConcise 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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