This classic text deals with the conceptual problem posed by the continuum — the set of all real numbers. Chapter 1 deals with the logic and mathematics of set and function, while Chapter 2 focuses on the concept of number and the continuum. Advanced-level mathematical landmark will interest anyone working in foundational analysis. Bibliography. Originally published 1918.
Continuum Mechanics: Concise Theory and Problems by P. Chadwick Comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations.
Space, Time, Matter by Hermann Weyl Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." — British Journal for Philosophy and Science.
The Theory of Groups and Quantum Mechanics by Hermann Weyl This landmark text applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, more.
A Source Book in Mathematics by David Eugene Smith The writings of Newton, Leibniz, Pascal, Riemann, Bernouilli, and others in a comprehensive selection of 125 treatises, articles from the Renaissance to the end of the 19th century. Number, algebra, geometry, probability, calculus, more.
Set Theory and the Continuum Hypothesis by Paul J. Cohen This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.
The Concept of a Riemann Surface by Hermann Weyl, Gerald R. MacLane This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.
Sets, Sequences and Mappings: The Basic Concepts of Analysis by Kenneth Anderson, Dick Wick Hall This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.
