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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...
Theory of Relativity
Theory of Relativity

THIRTY-FIVE years ago this article on the theory of relativity, written by me at the rather young age of 21 years for the Mathematical Encyclopedia, was first published as a separate monograph together with a preface by Sommerfeld, who as the editor of this volume of the Encyclopedia was responsible for my authorship. It was the aim of the...

Challenging Mathematical Problems With Elementary Solutions (Volume 2)
Challenging Mathematical Problems With Elementary Solutions (Volume 2)

This volume contains seventy-four problems. The statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book. For most of the problems the reader is advised to find a solution by himself. After solving the problem, he should check his answer against the one given...

Challenging Mathematical Problems With Elementary Solutions, Vol. 1
Challenging Mathematical Problems With Elementary Solutions, Vol. 1
Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis.

This book is the first of a two-volume translation and adaptation of a well-known Russian problem book entitled Non-Elementary Problems in an...

Mathematics of Classical and Quantum Physics
Mathematics of Classical and Quantum Physics
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...
Calculus of Variations
Calculus of Variations

Book basically divided into two parts. Chapters 1-4 include background material, basic theorems and isoperimetric problems. Chapters 5-12 are devoted to applications, geometrical optics, particle dynamics, the theory of elasticity, electrostatics, quantum mechanics and other topics. Exercises in each chapter. 1952 edition.

There...

Complex Variables and the Laplace Transform for Engineers
Complex Variables and the Laplace Transform for Engineers

Widely acclaimed text on essential engineering mathematics. Theory of complex variables, Cauchy-Riemann equations, conformal mapping, multivalued functions, etc. Also Fourier and Laplace Transform theory, its applications to engineering, including integrals, linear integrodifferential equations, Z Transform, much more. Many excellent...

Analytical Geometry of Three Dimensions (Dover Books on Mathematics)
Analytical Geometry of Three Dimensions (Dover Books on Mathematics)
Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics.
Mathematician, physicist, and astronomer, William
...
Theoretical Physics
Theoretical Physics
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.
...
Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)
Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)
Experiment with cryptography — the science of secret writing. Cipher and decipher codes: transposition and polyalphabetical ciphers, famous codes, typewriter and telephone codes, codes that use playing cards, knots, and swizzle sticks...even invisible writing and sending messages through outer space. Hours of intrigue and challenge. 45...
Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics)
Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics)
In recent years important progress has been made in the study of linear operators by extending to closed operators many fundamental theorems which were known for bounded operators. The applications of the theory permit unification of a series of diverse questions in differential equations, which leads to significant results with substantial...
An Introduction to Matrices, Sets and Groups for Science Students
An Introduction to Matrices, Sets and Groups for Science Students
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...
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