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4434Dimensions (geometry)
http://www.merlot.org/merlot/viewMaterial.htm?id=350912
This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a theorem of geometry. There are 9 chapters, each 13 minutes long. The book contains a total of 117 minutes of video, but can also be read as an ordinary textbook.The film can be enjoyed by anyone, provided the chapters are well-chosen. There are 9 chapters, each 13 minutes long. Chapters 3-4, 5-6 and 7-8 are double chapters, but apart from that, they are more or less independent of each other.Differential Equations
http://www.merlot.org/merlot/viewMaterial.htm?id=556384
״Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations.I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.״ Calculus 3
http://www.merlot.org/merlot/viewMaterial.htm?id=556372
״Here are my online notes for my Calculus III course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class.These notes do assume that the reader has a good working knowledge of Calculus I topics including limits, derivatives and integration. It also assumes that the reader has a good knowledge of several Calculus II topics including some integration techniques, parametric equations, vectors, and knowledge of three dimensional space.״ A First Course in Linear Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=297792
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form.PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com. GNU Free Documentation LicenseA ProblemText in Advanced Calculus
http://www.merlot.org/merlot/viewMaterial.htm?id=314603
Advanced Calculus open textbook. Download LaTeX source or PDF. Creative Commons BY-NC-SA.Algebra: Abstract and Concrete
http://www.merlot.org/merlot/viewMaterial.htm?id=313490
The book provides a thorough introduction to "modern'' or "abstract'' algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.Applied Finite Mathematics Textbook
http://www.merlot.org/merlot/viewMaterial.htm?id=350948
Applied Finite Mathematics Textbook onlineCalculus
http://www.merlot.org/merlot/viewMaterial.htm?id=351066
OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.Formal Logic
http://www.merlot.org/merlot/viewMaterial.htm?id=351071
This is an 'undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs.'Brief ContentsPreliminariesSentential LogicPredicate LogicIdentity Theory Intermediate Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=350853
Intermediate Algebra textbook in PDF form