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A Problem Text in Advanced Calculus
by John M. Erdman - Portland State University , 2008
A textbook for majors in mathematics and physical sciences, it concentrates on concepts and proofs. It is intended for students who have completed a standard introductory calculus sequence and who wish to know where all those formulas come from.
(6845 views)

A Summary of Calculus
by Karl Heinz Dovermann - University of Hawaii , 2003
The author introduces limits and derivatives, provides some rules for their computations, discusses some properties of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc.
(5528 views)

Advanced Calculus
by Lynn H. Loomis, Shlomo Sternberg - Jones and Bartlett Publishers , 1989
Starts with linear algebra, then proceeds to introductory multivariate calculus, including existence theorems connected to completeness, integration, the Stokes theorem, a chapter on differential manifolds, exterior differential forms, etc.
(6469 views)

Advanced Calculus and Analysis
by Ian Craw - University of Aberdeen , 2000
Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.
(7579 views)

Calculus
by Benjamin Crowell , 2007
Short introductory text on differentiation and integration of functions of a single variable, and iterated integrals. The emphasis is on the techniques of calculus, although proofs are given for the important results at the back of the book.
(6631 views)

Calculus
by David Guichard, Neal Koblitz , 2008
This textbook covers analytic geometry, derivative, transcendental functions, curve sketching, integration, sequences and series, three dimensions, vector functions, partial differentiation, multiple integration, and vector valculus.
(5361 views)

Calculus
by Gilbert Strang - Wellesley College , 1991
The book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an Instructor's Manual and a student Study Guide.
(6024 views)

Calculus for Beginners and Artists
by Daniel Kleitman - MIT , 2009
Calculus is the study of how things change, it provides a framework for modeling systems in which there is change. This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.
(4111 views)

Calculus for Mathematicians, Computer Scientists, and Physicists
by Andrew D. Hwang - Holy Cross , 1998
The author presents beautiful, interesting, living mathematics, as informally as possible, without compromising logical rigor. You will solidify your calculational knowledge and acquire understanding of the theoretical underpinnings of the calculus.
(477 views)

Calculus I
by Jerrold Marsden, Alan Weinstein - Springer , 1985
This textbook should help students to use calculus for solving problems. Volume I covers derivatives and limits, rates of change and the chain rule, maximum-minimum problems, the integral, trigonometric functions, exponentials and logarithms.
(8183 views)

Calculus II
by Jerrold Marsden, Alan Weinstein - Springer , 1985
The second book of a three-volume work covers basic methods of integration, differential equations, applications of integration, limits, L'Hopital's rule, numerical methods, infinite series. Many solved problems and exercises are included.
(7655 views)

Calculus III
by Jerrold Marsden, Alan Weinstein - Springer , 1985
The third part of a three-volume work covers vectors, curves and surfaces, partial differentiation, gradients, maxima and minima, multiple integration, vector analysis. The authors motivate the study of calculus using its applications.
(5767 views)

Calculus Made Easy
by Silvanus P. Thompson - The MacMillan Company , 1914
A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.
(1632 views)

Calculus Refresher
by Paul Garrett , 2008
A short text covering introductory calculus topics: functions, limits, derivatives, critical points, minimization and maximization, l’Hospital’s rule, higher derivatives, integration, area and definite integrals, numerical integration, etc.
(3978 views)

Calculus Unlimited
by Jerrold E. Marsden, A. Weinstein - Benjamin-Cummings Publishing Co. , 1981
A supplement to any calculus text, an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. This book is for calculus students and instructors interested in trying an alternative to limits.
(3485 views)

Calculus Without Limits
by John C. Sparks - Sparrow Hawk Treasures , 2008
Original exposition of single-variable calculus using the classic differential approach. It is the first new calculus book that deliberately minimizes the use of limits, one of the major stumbling blocks standing in the way of calculus students.
(3743 views)

Calculus, Applications and Theory
by Kenneth Kuttler , 2008
Calculus and many of its applications are discussed in this book. The reader should have a good understanding of algebra as well as geometry and trigonometry. There is also lots of non standard material, like some theorems of advanced calculus.
(4203 views)

CK-12 Single Variable Calculus
by R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation , 2009
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
(2421 views)

Concepts of Calculus
by Christopher Cooper - Macquarie University , 2008
This is an introductory course on calculus for those who haven't studied it before. It emphasizes the concepts rather more than the technicalities and contains many examples and illustrations. It's particularly suitable for economics students.
(3194 views)

Difference Equations to Differential Equations - An introduction to calculus
by Dan Sloughter , 2000
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.
(5035 views)

Differential and Integral Calculus
by Richard Courant - Interscience Publishers , 1934
Written by one of the foremost mathematicians of the 20th century, this text remains the only modern treatment to integrate principles of analysis into first-year calculus. Courant introduces the differential and integral calculus simultaneously.
(3976 views)

Differential and Integral Calculus
by C. E. Love, E. D. Rainville - The MacMillan Company , 1916
This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
(722 views)

Dr. Vogel's Gallery of Calculus Pathologies
by Thomas I. Vogel , 1997
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
(2149 views)

Elementary Calculus
by Frederick S Woods, Frederick H Bailey - Ginn and Company , 1922
This book is adapted to the use of students in the first year in technical school or college, and is based upon the experience of the authors teaching calculus to students in the Massachusetts Institute of Technology immediately upon entrance.
(2284 views)

Elementary Calculus: An Approach Using Infinitesimals
by H. Jerome Keisler - Bodgen & Quigley , 2000
This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.
(2799 views)

Elementary Textbook on the Calculus
by Virgil Snyder - Cornell University Library , 1912
The author made special effort to present the calculus in a simple and direct form. Easy applications of the calculus to maxima and minima, tangents and normals, inflexions, asymptotes, and curve tracing have been introduced.
(2763 views)

Elements of the Differential and Integral Calculus
by William Anthony Granville - Budge Press , 2007
Variables and functions, theory of limits, differentiation, rules for differentiating standard elementary form, successive differentiation, maxima and minima, differentials, rates, curvature, theorem of mean value, partial differentiation, etc.
(3592 views)

Engineering Mathematics 1
by Ian Craw, Stuart Dagger, John Pulham , 2003
Introduction of elementary mathematical ideas useful in the study of Engineering. The text covers the derivative, maxima and minima, integration, reduction formulas, complex numbers, matrices, Taylor series, and differential equations.
(9731 views)

First Year Calculus
by W W L Chen - Macquarie University , 2008
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.
(3205 views)

Foundations of Infinitesimal Calculus
by K.D. Stroyan - Academic Press, Inc. , 1997
This is a fresh look at the foundations of calculus. The book will be useful reference for students who like the "theorem - proof" approach to calculus, these proofs are completely rigorous in the sense of modern mathematics.
(2544 views)

generatingfunctionology
by Herbert S. Wilf - A K Peters, Ltd. , 2006
The book about main ideas on generating functions and some of their uses in discrete mathematics. Generating functions are a bridge between discrete mathematics and continuous analysis. The book is suitable for undergraduates.
(5042 views)

Graphical Calculus
by Arthur Henry Barker - Longmans, Green, and Co. , 1896
All teachers of engineering and applied sciences generally now recognize the vast superiority of graphical over purely mathematical methods of imparting instruction of almost every description. The former are much more convincing to the student.
(1938 views)

Introduction to Methods of Applied Mathematics
by Sean Mauch , 2004
Advanced mathematical methods for scientists and engineers, it contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations.
(6398 views)

Introduction to the Elementary Functions
by Raymond Benedict McClenon - Ginn and company , 1918
The book covers some parts of plane trigonometry and analytic geometry, followed by an introduction to the differential calculus, including differentiation of simpler algebraic functions and applications to problems of rates and maxima and minima.
(3042 views)

Many Variable Advanced Calculus
by Kenneth Kuttler , 2008
The book is appropriate to anybody who understands the concepts of one variable calculus. The author develops further multivariable advanced calculus. He firsts presents a course in linear algebra, then the other calculus topics.
(2722 views)

Mathematics For Engineering Students
by Samuel Keller - D. Van Nostrand Company , 1908
Much that is ordinarily included in treatises on Analytics and Calculus, has been omitted from this book, not because it was regarded as worthless, but because it was considered quite unnecessary for the student of engineering.
(323 views)

Multivariable Calculus
by George Cain, James Herod , 1997
The text covers Euclidean three space, vectors, vector functions, derivatives, more dimensions, linear functions and matrices, continuity, the Taylor polynomial, sequences and series, Taylor series, integration, Gauss and Green, Stokes.
(2890 views)

One Variable Advanced Calculus
by Kenneth Kuttler - Brigham Young University , 2008
The difference between advanced calculus and calculus is that all the theorems are proved completely. Routine skills are supposed to be mastered and have no place in advanced calculus which deals with the issues related to existence and meaning.
(2396 views)

Real Functions in One Variable: Calculus 1a
by Leif Mejlbro - BookBoon , 2006
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach. It focuses on explaining the central theories and warns students of the areas where mistakes are traditionally made.
(2058 views)

Real Functions in One Variable: Examples of Integrals
by Leif Mejlbro - BookBoon , 2007
This volume covers partial integration, integration by simple substitutes, integration by advanced substitutions, decomposition, integration by decomposition, trigonometric integrals, MAPLE programs, moment of inertia, and mathematical models.
(1861 views)

Sequences and Power Series: Guidelines for Solutions of Problems
by Leif Mejlbro - BookBoon , 2007
Guidelines for solutions of problems concerning sequences and power series. It is not an alternative textbook, but it can be a useful supplement to the ordinary textbooks. The text presupposes some knowledge of calculus of functions in one variable.
(2263 views)

Student's guide to Calculus by J. Marsden and A. Weinstein, Volume I
by Frederick H. Soon - Springer , 1985
The author acts as a tutor helping you to learn calculus. 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.
(3543 views)

Student's guide to Calculus by J. Marsden and A. Weinstein, Volume II
by Frederick H. Soon - Springer , 1985
Learn calculus through attempting to solve problems on your own. The second volume covers basic methods of integration, differential equations, applications of integration, limits, L'Hopital's rule, numerical methods, infinite series.
(2658 views)

Student's guide to Calculus by J. Marsden and A. Weinstein, Volume III
by Frederick H. Soon - Springer , 1985
A valuable supplement to the textbook, the third part covers vectors, curves and surfaces, partial differentiation, gradients, maxima and minima, multiple integration, vector analysis. Solved problems and exercises from the main book.
(2778 views)

The Calculus
by William V. Smith - Brigham Young University , 2001
Here is a free online calculus course. This is essentially an ordinary text, but you can read it online. There are lots of exercises and examples. The text is rigorous. We do calculus in both one and two variables at the same time.
(2648 views)

The Calculus for Beginners
by John William Mercer - Cambridge University Press , 1914
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations.
(718 views)

The Calculus for Engineers and Physicists
by Robert H. Smith - Griffin , 1908
This work presents the leading features in the study and application of the higher mathematics. The development of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination.
(636 views)

The Calculus of Functions of Several Variables
by Dan Sloughter - Furman University , 2001
Many functions in the application of mathematics involve many variables simultaneously. This book introducses Rn, angles and the dot product, cross product, lines, planes, hyperplanes, linear and affine functions, operations with matrices, and more.
(2987 views)

Understanding Calculus
by Faraz Hussain , 2008
Online introductory book on Calculus that focuses on concepts, without complex and abstract jargon. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving.
(4046 views)

Vector Calculus
by Michael Corral - Schoolcraft College , 2008
A textbok on elementary multivariable calculus, the covered topics: vector algebra, lines, planes, surfaces, vector-valued functions, functions of 2 or 3 variables, partial derivatives, optimization, multiple, line and surface integrals.
(5415 views)

Yet Another Calculus Text
by Dan Sloughter , 2007
Introduction to calculus based on the hyperreal number system for readers who are already familiar with calculus basics. It covers hyperreals, continuous functions, derivatives, geometric interpretation, optimization, integrals, applications, etc.
(3388 views)