Calculus Textbook by Jerrold Marsden and Alan Weinstein

This page brings together the download links for all three parts of the calculus textbook by Jerrold Marsden and Alan Weinstein, 2nd edition, 1985. Download links for student's guides are also added below.

Integral as the area under a curve

This textbook will help you learn to use calculus for solving mathematical, physical and engineering problems. The author taught calculus at Berkeley, and the 2nd edition incorporates many improvements based on the previous edition. Prerequisite material is only high school algebra and some plane geometry, trigonometry and analytic geometry are covered in the book completely.

Proofs are given only for the most important theorems, the theory of limits is de-emphasized until students have mastered differentiation and integration. The authors teach calculus closely related to the physical world, throughout the text they use numerous examples related to distance and velocity.

Volume I covers derivatives and limits, rates of change and the chain rule, graphing and maximum-minimum problems, the integral, trigonometric functions, exponentials and logarithms. Volume II covers basic methods of integration, differential equations, applications of integration, further techniques and applications, limits, L'Hopital's rule and numerical methods, and infinite series. Volume III covers vectors, curves and surfaces, gradients, partial derivatives, multiple integration, maxima and minima, and vector analysis.


Calculus I
Calculus I
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Calculus II
Calculus II
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Calculus III
Calculus III
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Student's Guide I
Student's Guide I
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Student's Guide II
Student's Guide II
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Student's Guide III
Student's Guide III
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