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Advanced Number Theory

Dover Publications, 1980

Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Includes numerous graphs and tables.

The prerequisites for this book...

Elementary Theory of Numbers (Dover books on advanced mathematics)

Dover Publications, 1990

In the past few years there has been a great resurgence of interest in mathematics on both the secondary and undergraduate levels, and a growing recognition that the courses traditionally offered do not exhaust the mathematics which it is both possible and desirable to teach at those levels. Of course, not aU of modern mathematics is accessible;...

An Introduction to Matrices, Sets and Groups for Science Students

Dover Publications, 1986

THIS book is written primarily for undergraduate students of science and engineering, and presents an elementary introduction to some of the major branches of modern algebra - namely, matrices, sets and groups. Of these three topics, matrices are of especial importance at undergraduate level, and consequently more space is devoted to their study...

Mathematical Recreations

Dover Publications, 1953

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...

Theoretical Physics

Dover Publications, 1987

Classic one-volume treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by extensive coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics. Indispensable reference for graduates and undergraduates.
...

Playing with Infinity: Mathematical Explorations and Excursions

Dover Publications, 1976

Popular account ranges from counting to mathematical logic and covers the many mathematical concepts that relate to infinity: graphic representation of functions; pairings and other combinations; prime numbers; logarithms and circular functions; formulas, analytical geometry; infinite lines, complex numbers, expansion in the power series;...

Matrices and Transformations

Dover Publications, 1978

Text stresses use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.

MATRIX ALGEBRA is a significant topic in...

Mathematics of Classical and Quantum Physics

Dover Publications, 1992

This book is designed as a companion to the graduate level physics texts on classical mechanics, electricity, magnetism, and quantum mechanics. It grows out of a course given at Columbia University and taken by virtually all first year graduate students as a fourth basic course, thereby eliminating the need to cover this mathematical material in a...

Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics

Dover Publications, 2008

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...

Ordinary Differential Equations

Dover Publications, 1985

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...

The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)

Dover Publications, 2004

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

Dover Publications, 1956

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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