**Foundations of Infinitesimal Calculus**

by K.D. Stroyan

**Publisher**: Academic Press, Inc. 1997**Number of pages**: 182

**Description**:

This book of mathematical 'background' shows how to fill in the mathematical details of the main topics from the course. These proofs are completely rigorous in the sense of modern mathematics - technically bulletproof. We wrote this book of foundations in part to provide a convenient reference for a student who might like to see the 'theorem - proof' approach to calculus.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**Calculus: A Modern, Rigorous Approach**

by

**Horst R. Beyer**

Contents: Limits and Continuous Functions; Differentiation; Riemann Integration; Improper Integrals; Series of Real Numbers; Series of Functions; Analytical Geometry; The Riemann Integral in n-dimensions; Vector Calculus; etc.

(

**7498**views)

**Difference Equations to Differential Equations - An introduction to calculus**

by

**Dan Sloughter**

The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.

(

**20026**views)

**Calculus I, II, and III**

by

**Jerrold E. Marsden, Alan Weinstein**-

**Springer**

The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. The exercise sets have been carefully constructed to be of maximum use to the students.

(

**12964**views)

**Intuitive Infinitesimal Calculus**

by

**Viktor Blasjo**-

**Intellectual Mathematics**

A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning. Always gives the most illuminating proofs possible, while standard books obscure key ideas under pedantic formalism.

(

**2871**views)