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This page lists freely downloadable books.
E-Books for free online viewing and/or download
e-books in this category
Foundations of Infinitesimal Calculus
by H. Jerome Keisler - University of Wisconsin , 2011
This monograph is a companion to 'Elementary Calculus'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.
Intuitive Infinitesimal Calculus
by Viktor Blasjo - Intellectual Mathematics , 2015
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.
Elementary Functions and Applications
by Arthur Sullivan Gale, Charles William Watkeys - H. Holt & Co. , 1920
This book presents the elementary functions; algebraic and transcendental, and their applications to problems arising in various fields of knowledge. The treatment is confined to functions of one variable, with incidental exceptions ...
Differential Calculus for Beginners
by Alfred Lodge - Deighton, Bell, & Co. , 1905
The object of this book is to provide an easy introduction to the Calculus for those students who have to use it in their work, to make them familiar with its ideas and methods. A working knowledge of elementary algebra and trigonometry is assumed.
Analytic Geometry and Calculus
by F.S. Woods, F.H. Bailey - Ginn and Company , 1917
The first part of the book brings together all methods for the graphical representation of functions of one variable, and analytic geometry of two dimensions. The transition to the calculus is made early through the discussion of slope and area ...
Calculus I, II, and III
by Jerrold E. Marsden, Alan Weinstein - Springer , 1986
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.
Calculus for the Life Sciences: A Modeling Approach
by James L. Cornette, Ralph A. Ackerman - Iowa State University , 2013
This text is a product of a two-semester calculus course for life sciences students in which students gathered biological data in a laboratory setting that was used to motivate the concepts of calculus. The book contains data from experiments...
by Harris Hancock - J. Wiley , 1917
Elliptic integrals originally arose in connection with the problem of the arc length of an ellipse. The author limits the monograph to the Legendre-Jacobi theory. He confines the discussion to the elliptic integrals of the first and second kinds.
Introductory Mathematical Analysis
by W.P. Webber, L.C. Plant - John Wiley & sons , 1919
The present text is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective and better suited to its place in a scheme of education under modern conditions of life.
Calculus in Context
by James Callahan, et al. - Five Colleges, Inc. , 2008
In this course you will learn to use calculus both as a tool and as a language in which you can think coherently about the problems you will be studying. The computer or the graphing calculator is a tool that that you will need for this course.
- Wikibooks , 2011
This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.
Calculus: A Modern, Rigorous Approach
by Horst R. Beyer , 2007
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.
by Marcel B. Finan - Arkansas Tech University , 2004
These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.
Functions Modeling Change: A Precalculus Course
by Marcel B. Finan - Arkansas Tech University , 2003
This supplement consists of the author's lectures of a freshmen-level mathematics class offered at Arkansas Tech University. The text represents an effort to produce exposition that is accessible to a student at the freshmen or high school levels.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.