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Mathematics for Mechanics

• A Brief Review of Some Mathematical Preliminaries, Rohan Abeyaratne, MIT.
• Quick Introduction to Tensor Analysis ,  R. A. Shapirov, Samizdat Free Press.
• Elementary vector and tensor analysis for Engineers, Rebecca Brannon , University of Utah.
• Rotations, Rebecca Brannon , University of Utah.
• Curvilinear coordinates, Rebecca Brannon , University of Utah.

Introductory Mechanics of Materials/Material Behavior

• Introductory Mechanics of Materials, M. A. Vable, Michigan Tech.
• Intermediate Mechanics of Materials , M. A. Vable, Michigan Tech.
• Materials of Engineering Laboratory, Eyassu Woldesenbet and Henry Tan, Louisiana State University.
• Statics (Homework Sets) , Jacob Lubliner, UC Berkeley.
• Mechanics of Materials , Jacob Lubliner, UC Berkeley.

Continuum Mechanics

• Solid Mechanics textbook , A.F. Bower, Brown University
• Items developed for teaching, James R. Rice, Harvard University
• ES 240 Solid Mechanics, Zhigang Suo, Harvard University.
• EN 175 Advanced Mechanics of Solids, H. Gao and A. F. Bower, Brown University (needs Java/Internet Explorer).
• EN 222 Mechanics of Solids II , A. F. Bower, Brown University (needs Java/Internet Explorer).
• ES 241 Advanced Elasticity, Zhigang Suo, Harvard University.
• EN 224 Linear Elasticity , A. F. Bower, Brown University (needs Java/Internet Explorer).
• Introduction to Elasticity, Wikiversity .
• Linear viscoelasticity , David Roylance, MIT.
• Large deformation kinematics, Rebecca Brannon , University of Utah.
• Plasticity Theory , Jacob Lubliner, UC Berkeley.
• Introduction to Continuum Mechanics , Paul Naghdi, UC Berkeley.

Biomechanics

•  Summer course on cell mechano-sensitivity (slides and videos), Univerity of Illinois, Urbana-Champaign

Fracture Mechanics

• Nonlinear Fracture Mechanics, J.W. Hutchinson, Harvard University.
• Fracture Mechanics, Alan Zehnder, Cornell University
• Introduction to Fracture Mechanics, C.H. Wang
• ES 242r Fracture Mechanics of Thin Films and Composite Materials, John W. Hutchinson and Zhigang Suo, Harvard University

Thin Films and Layered Materials

• Mechanical Properties of Thin Films, William D. Nix, Stanford University
• Fracture Mechanics of Thin Films and Multilayers, John W. Hutchinson, Harvard University
• Mixe-Mode Cracking in Layered Materials, John W. Hutchinson and Zhigang Suo
• Reliability of Interconnect Structures, Zhigang Suo, Harvard University

Statistical Mechanics

• Statistical Mechanics by James P. Sethna, Cornell University (this has actually been published as a book).
• Statistical Mechanics, Zhigang Suo, Harvard University.

Micromechanics, Composites, Shape Memory Materials, and Metamaterials

• Waves in Composites and Metamaterials, Graeme W. Milton and Biswajit Banerjee, University of Utah.
• Theory of Martensitic Microstructure and the Shape Memory Effect , Kaushik Bhattacharya, CalTech.

Computational Physics/Mechanics

• Computational Physics, R. J. Gonsalves, SUNY Buffalo (the earliest notes are at the bottom of the page).
• Computational Physics, Franz J. Vesely, University of Vienna (the jsmath version works - may need installation of new fonts).

Finite Elements

• Finite Elements in One Dimension , N. Sukumar, University of California at Davis.
• Introductory Finite Element Analysis , Carlos Felippa, University of Colorado, Boulder.
• Introduction to Finite Elements , M. A. Vable, Michigan Tech.
• Advanced Finite Element Analysis , Carlos Felippa, University of Colorado, Boulder.
• Nonlinear Finite Element Analysis , Carlos Felippa, University of Colorado, Boulder.
• Nonlinear Finite Elements , Biswajit Banerjee, University of Utah.

Classical Physics

• Ph 136 Applications of Classical Physics , Kip Thorne, Caltech.

Quantum Mechanics/Chemistry

• Quantum Physics Made Relatively Simple, videos of three lectures by Hans Bethe, winner of the Nobel Prize in 1967. 
• Quantum Mechanics for Engineers , Leon van Dommelen, Florida State University
• Quantum Chemistry , S. M. Blinder, UMich. 

Other Lecture Note Collections

• Civil Engineer Applied Mechanics Lecture Notes Collection .
• MIT Open Courseware.
• World Lecture Hall from University of Texas, Austin.
• Erudix - Online repository of Lecture notes/Theses/Papers.

Other  E-book Collections

• IMSC Library - e-books on all aspects of mathematics.
• Samizdat Press - a press for the free distribution of books.