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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...

Vector and Tensor Analysis with Applications

Dover Publications, 1979

Definition of vectors and discussion of algebraic operations on vectors leads to concept of tensor and algebraic operations on tensors. Also, systematic study of the differential and integral calculus of vector and tensor functions of space and time, more. Concise, eminently readable text. Worked out problems, solutions.

The...

History of the Later Roman Empire: From the Death of Theodosius I to the Death of Justinian (Volume 1)

Dover Publications, 2011

The first of these two volumes might be entitled the "German Conquest of Western Europe," and the second the "Age of Justinian." The first covers more than one hundred and twenty years, the second somewhat less than fifty. This disparity is a striking illustration of the fact that...

Introduction to the Geometry of Complex Numbers

Dover Publications, 2008

The present work briefly develops the lectures which we have given since 1930 to the engineering candidates who chose the section of electromechanics at the Faculte polytechnique de Mons.

A memoir by Steinmetz 1 emphasized the simplifying role that can be played by the geometric interpretation of complex numbers in the...

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...

The Foundations of Statistics

Dover Publications, 1972

With the 1954 publication of his Foundations of Statistics, in which he proposed a basis that takes into account not only strictly objective and repetitive events, but also vagueness and interpersonal differences, Leonard J. Savage opened the greatest controversy in modern statistical thought. His theory of the...

Entertaining Mathematical Puzzles

Dover Publications, 1986

Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem. 65...

Lectures on Classical Differential Geometry: Second Edition (Dover Books on Mathematics)

Dover Publications, 1988

This book has developed from a one-term course in differential geometry given for juniors, seniors, and graduate students at the Massachusetts Institute of Technology. It presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Some care is given to historical, biographical, and...

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...

The Green Book of Mathematical Problems

Dover Publications, 1997

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...

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