First Year Calculus by Chen W.W.L

by arieskhan | 4:33 AM in | comments (0)


This is a lecture series actually which is delivered by Chen W.W.L. He wrote his lectures and notes on various fields on mathmatics and so in calculus too.

In his this lecture series, he explained some of the aspects of calculus. Really the topics are well explained so that the student can get them easily. His notes are on the following topics :

THE NUMBER SYSTEM

FUNCTIONS

INTRODUCTION TO DERIVATIVES

SOME SPECIAL FUNCTIONS

APPLICATIONS OF DERIVATIVES

LIMITS OF FUNCTIONS

CONTINUITY

DIFFERENTIATION

THE DEFINITE INTEGRAL

TECHNIQUES OF INTEGRATION

NUMERICAL INTEGRATION

APPLICATIONS OF INTEGRATION

IMPROPER INTEGRALS

ORDINARY DIFFERENTIAL EQUATIONS

FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS

FUNCTIONS OF TWO VARIABLES

INTERPOLATION AND APPROXIMATION

SEQUENCES

SERIES

POWER SERIES

THE BINOMIAL THEOREM

Link :

http://rutherglen.ics.mq.edu.au/wchen/lnfycfolder/lnfyc.html

Advanced Calculus by Gilbert Weinstein

by arieskhan | 4:25 AM in | comments (0)


The Advanced Calculus by Gilbert Weinstein was published in 1996 first. In the course you will learn Analysis, that is the theory of differentiation and integration of functions. However, you will also learn something more fundamental than Analysis.

You will learn what is a mathematical proof. You may have seen some proofs earlier, but here, you will learn how to write your own proofs. You will also learn how to understand someone else’s proof, find a flaw in a proof, fix a deficient proof if possible and discard it if not. In other words you will learn the trade of mathematical exploration.

Download Link :

http://www.math.uab.edu/weinstei/notes/ac.pdf

Advanced Calculus

by arieskhan | 4:17 AM in | comments (0)


The Advanced Calculus is also one the classic old books which was first published in 1961. The book is usually taught in the course of advance calculus or calculus - II because it deals with the aspects of multivariable calculus.

The book is a classic text leads from elementary calculus into more theoretic problems. Precise approach with definitions, theorems, proofs, examples and exercises. Topics include partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Numerous graded exercises with selected answers.

Download Link :

http://www.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf

Calculus Made Easy by Silvanus Thompson and Martin Gardner

by arieskhan | 4:09 AM in | comments (0)


The Calculus Made Easy is like many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. This is kind of fascinating and not less than an artwork in Mathematics.

The book deals with the understanding of the calculus to the beginner students of the calculus to make them easily understand the calculus. The book deals with the basics of the calculus like functions and types, integration, derrivation and other stuff.

Download Link :

http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf

Calculus Online Resources

by arieskhan | 4:04 AM in | comments (0)


In this section some online calculus tutorials are discussed, which are very very useful in understanding calculus online.

http://www.uwm.edu/Dept/Math/Resources/Calculus/Key/node2.htm

http://www.understandingcalculus.com/index.php

http://marauder.millersville.edu/~bikenaga/calculus/calculusnotes.html

http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm

http://marauder.millersville.edu/~bikenaga/calc/calcnote.html

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