Analytical dynamics forms an important part of any undergraduate programme in applied mathematics and physics: it develops intuition about three-dimensional space and provides invaluable practice in problem solving.

First published in 1987, this text is an introduction to the core ideas. It offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations.
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This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.

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“California Algebra 2″ has been developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on assessments. “California Algebra 2″ helps all students become better problem solvers with the unique approach to interweaving skills, concepts, and word problems in Get Ready for the Chapter, in Study Guide and Review, and throughout the exercises.
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Lectures on Differential Geometry (Series on University Mathematics)
World Scientific Publishing Company | 2000-03-15 | ISBN: 9810234945 9810241828 | 250 pages | PDF | 11 MB
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Probability
Springer | 1993-05-12 | ISBN: 0387979743 | 538 pages | DJVU | 20 MB
This textbook is ideal for an undergraduate introduction to probability, with a calculus prerequisite. It is based on a course that the author has taught many times at Berkeley. The text’s overall style is informal, but all results are stated precisely, and most are proved. Understanding is developed through intuitive explanations and examples. Graphs, diagrams, and geometrical ideals motivate results that might otherwise look likely purely formal manipulations.
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