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Calculus

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Elementary Calculus: An Approach Using Infinitesimals
Author: H. Jerome Keisler  Language:
This is a calculus textbook at the college Freshman level based on Abraham Robinson\'s infinitesimals, which date from 1960. Robinson\'s modern infinitesimal approach puts the intuitive ideas of the f . . . . .
Calculus Textbook
Author: Professor Gilbert Strang  Language:
Calculus Textbook Contents: Introduction to Calculus; Derivatives; Applications of the Derivative; The Chain Rule; Integrals; Exponentials and Logarithms; Techniques of Integration; Applications of the Integral; Polar . . . . .
Advanced Calculus
Author: Shlomo Sternberg  Language:
Contents: vector spaces; finite-dimensional vector spaces; the differential calculus; compactness and completeness; scalar product spaces; differential equations; multilinear functionals; integration; . . . . .
Calculus: A modern, rigorous approach
Author: Horst R. Beyer  Language:
Contents: Basics; Limits and Continuous Functions; Differentiation; Applications of Differentiation; Riemann Integration. Techniques of Integration; Improper Integrals; Series of Real Numbers; Series . . . . .
The Calculus Bible
Author: Professor G. S. Gill  Language:
The Calculus Bible is an elementary calculus textbook from Professor G. S. Gill. Contents: Functions; Limits and Continuity; Differentiation; Applications of Differentiation; The Definite Integral; . . . . .
Calculus Without Limits
Author: John C. Sparks  Language:
The way this book differs from an ordinary “encyclopedicstyle” textbook is twofold. One, it is much shorter since we cover only those ideas that are central to an understanding of the calculus of a . . . . .
The Calculus of Functions of Several Variables
Author: Dan Sloughter.  Language:
Contents: Geometry of Rn; Functions from R to Rn; Functions from Rn to R; Functions from Rm to Rn.
Calculus Study Guide Components
Author: Professor Gilbert Strang  Language:
Calculus Study Guide Components Contents: Introduction to Calculus; Derivatives; Applications of the Derivative; The Chain Rule; Integrals; Exponentials and Logarithms; Techniques of Integration; Applications of the Integral; Polar . . . . .
Calculus
Author: Benjamin Crowell  Language:
Calculus This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, a . . . . .
Calculus Unlimited
Author: Marsden, Jerrold and Weinstein, Alan  Language:
This book is intended to supplement our text, Calculus (Benjamin/Cummings, 1980), or virtually any other calculus text (see page vii, How To Use This Book With Your Calculus Text). As the title Calcul . . . . .
First Year Calculus
Author: WWL Chen  Language:
Contents: THE NUMBER SYSTEM; FUNCTIONS; INTRODUCTION TO DERIVATIVES; SOME SPECIAL FUNCTIONS; APPLICATIONS OF DERIVATIVES; LIMITS OF FUNCTIONS; CONTINUITY; DIFFERENTIATION; THE DEFINITE INTEGRAL; TECHN . . . . .
Multivariable Calculus
Author: George Cain & James Herod  Language:
This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. Contents: Euclidean Three Space; Vectors--Algebra and Geometry; Vector Functio . . . . .
Vector Calculus
Author: Stephen Cowley  Language:
Contents: Introduction; Partial Differentiation; Curves and Surfaces; Line Integrals and Exact Differentials; Multiple Integrals; Vector Differential Operators; The Big Integral Theorems; Orthogonal . . . . .
Calculus Instructor's Manual Components
Author: Professor Gilbert Strang  Language:
Calculus Instructor's Manual Components Contents: Introduction to Calculus; Derivatives; Applications of the Derivative; The Chain Rule; Integrals; Exponentials and Logarithms; Techniques of Integration; Applications of the Integral; Polar . . . . .
Multivariable Calculus
Author: Oliver Knill  Language:
These are some class notes distributed in a multivariable calculus course tought in Spring 2004. This was a physics avored section. Some of the pages were developed as complements to the text and . . . . .
Combinatorics and algebra of tensor calculus
Author: Sen Hu, Xuexing Lu, Yu Ye  Language:
In this paper, motivated by the theory of operads and PROPs we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is descr . . . . .
ORDERS OF INFINITY
Author: G. H. HARDY  Language:
Contents: Introduction; Scales of in nity in general; Logarithmico-exponential scales; Special problems connected with logarithmico-exponential scales; Functions which do not conform to any logarithmi . . . . .
Differential Calculus
Author: Pierre Schapira  Language:
Contents: Differentiable maps; Higher differentials; Submanifolds.
Differential and Integral Calculus: Volume 1
Author: by R.Courant  Language:
Contents: I. Introduction II. The Fundamental Ideas of the Integral and Differential Calculus III. Differentiation and Integration of the Elementary Functions IV. Further development of t . . . . .
Differential and Integral Calculus
Author: by R.Courant  Language:
Contents: I. Preliminary Remarks on Analytical Geometry and Vector Analysis II. Functions of Several Variables and their Derivatives III. Development and Applications of the Differential Calculus I . . . . .
Whitman Calculus
Author: Whitman College  Language:
This is a freely available (Creative Commons licensed) calculus book, covering a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus. There is no cha . . . . .
JUST THE MATHS
Author: A.J. Hobson  Language:
Contents: INTRODUCTION TO ALGEBRA; NUMBERWORK; INDICES AND RADICALS (OR SURDS); LOGARITHMS; MANIPULATION OF ALGEBRAIC EXPRESSIONS; FORMULAE AND ALGEBRAIC EQUATIONS; SIMULTANEOUS LINEAR EQUATIONS; POLY . . . . .

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