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The Absolute Differential Calculus (Calculus of Tensors)
Written by a towering figure of 20th-century mathematics, this classic examines the mathematical material necessary for a grasp of relativity theory. Levi-Civita's thorough treatment of introductory theories provides the basis for his discussions of fundamental quadratic forms and absolute differential calculus. Concluding chapters address physical applications. 1926 edition.$199.99
The Absolute Differential Calculus: Calculus of Tensors
A chief requirement in the study of relativity is absolute differential calculus, which Einstein used to mathematically develop his ideas. This classic was written by a founder in the field, offering a clear, detailed exposition. It examines introductory theories, the fundamental quadratic form and the absolute differential calculus, and physical applications. 1926 edition.$71.99
An Introduction to Riemannian Geometry
With Applications to Mechanics and Relativity
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose$89.09
From Quantum Cohomology to Integrable Systems
Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential$16.99
Vectors, Tensors and the Basic Equations of Fluid Mechanics
This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics. Numerous exercises appear throughout the text. 1962 edition.$21.99
Techniques and Applications of Path Integration
Suitable for advanced undergraduates and graduate students, this text requires only a first course in quantum mechanics. The first part develops the techniques of path integration; the second section, dealing with applications, covers a host of illustrative examples. 26 figures. 1981 edition.$32.39
The Special Theory of Relativity
Based on his famous final year undergraduate lectures on theoretical physics at Birkbeck College, Bohm presents the theory of relativity as a unified whole, making clear the reasons which led to its adoption and explaining its basic meaning. With clarity and grace, he also reveals the limited truth of some of the "common sense" assumptions which make it difficult for us to appreciate its full$14.99
The Origins of Thermodynamic Behavior
Exploration of Second Law of Thermodynamics details fundamental dynamic properties behind construction of statistical mechanics. Topics include maximal entropy principles; invertible and noninvertible systems; ergodicity and unique equilibria; and asymptotic periodicity and entropy evolution. Geared toward physicists and applied mathematicians; suitable for advanced undergraduate and graduate$89.09
An Introduction to the Mathematical Theory of Inverse Problems
Applied Mathematical Sciences (Book #120)
This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed$24.69
Ordinary Differential Equations
AIMS Library of Mathematical Sciences
Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. This practical book is ideal for students