161 pages | Lulu.com (December 23, 2009) | ISBN: N/A | PDF | 1 MB

This free online textbook is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A prerequisite for the course is a basic proof course. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, and sequences of functions. Developed to teach Math 444 at University of Illinois at Urbana-Champaign.

264 pages | Ginn and company (1918) | ISBN: 1112324577 | PDF | 5.6 MB

The material included comprises the simpler and more important parts of plane trigonometry and analytic geometry, followed by an introduction to the differential calculus, including differentiation of the simpler algebraic functions and applications to problems of rates and maxima and minima.

126 pages | CK-12 Foundation (December 7, 2009) | ISBN: N/A | PDF | 9.9 MB

Basic Physics is intended to be used as one small part of a multifaceted strategy to teach physics conceptually and mathematically. Contents: Units; SHM Wave; Light Nature; Optics; Force; Motion; Projectile Motion; Momentum; Energy; Heat; Circular Motion; Gravity; Electrostatics; DC Electric Circuits.

592 pages | Dover Publications (February 2003) | ISBN: 0486495329 | PDF | 28.1 MB

Rigorous, systematic study by renowned physicist offers advanced students a thorough background in mechanics, electrodynamics, quantum mechanics, and statistical mechanics, stressing atomic, nuclear, and microscopic matters. 56 figures. 1961 edition.

532 pages | Oxford University Press (May 2003) | ISBN: 0198507828 | PDF | 3.8 MB

Finding topology to be a very economical means for obtaining important information about complicated many-body systems, Volovik (low- temperature physics, Helsinki U. of Technology; and Landau Institute for Theoretical Physics, Moscow) discuss the general consequences of topology on the quantum vacuum in quantum liquids, and the parallels in particle physics and cosmology. Among the consequences he addresses are topological defects; the low-dimensional world of quasiparticles living in the core of vortices, domain walls, and other branes; quantum phase transitions; and emergent non-trivial spacetimes.