Processing ......
 FreeComputerBooks.com Links to Free Computer, Mathematics, Technical Books all over the World

Elementary Calculus: An Infinitesimal Approach
🌠 Top Free Machine Learning Books - 100% Free or Open Source!
• Title: Elementary Calculus: An Infinitesimal Approach
• Author(s) Howard Jerome Keisler
• Publisher: Dover; 3rd Edition(2012); eBook (Creative Commons Licensed, 2022)
• Hardcover: 1008 pages
• eBook: PDF Files, and a single PDF (992 pages, 24.5 MB)
• Language: English
• ISBN-10: 0486484521
• ISBN-13: 978-0486484525

Book Description

This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.

This book is concerned with the infinitesimal approach originally set forth by Newton and Leibnitz, using Non-standard Analysis. The author has moved the theoretical material from Chapter One to an Appendix in this edition. A new chapter on differential equations has been added and the transcendental functions have been fully integrated into the first section. This book should be of interest to first and second year undergraduate mathematics students.

• Howard Jerome Keisler is an American mathematician, currently professor emeritus at University of Wisconsinâ€“Madison. His research has included model theory and non-standard analysis.
• Yet Another Calculus Text: A Short Introduction with Infinitesimals

An introduction to calculus based on the hyperreal number system so it uses infinitesimal and infinite numbers freely. It aims primarily at readers who already have some familiarity with calculus.

• Nonstandard Analysish (Jaap Ponstein, et al.)

This book is concerned with an attempt to introduce the infinitesimals and the other 'nonstandard' numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematically sound, and to be complete within obvious limits.

• Foundations of Infinitesimal Calculus (H. Jerome Keisler)

This monograph is a companion to the Author's textbook. 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.

• Mathematical Background: Foundations of Infinitesimal

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. It also shows how the pathologies arise in the traditional approach.

• Introduction to Mathematical Analysis (Beatriz Lafferriere, et al)

The goal of this book is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. It will be reinforced through rigorous proofs.

• Elementary Calculus (Michael Corral)

This textbook covers calculus of a single variable, is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools.

• Calculus (Gilbert Strang)

This highly regarded calculus textbook is ideal as for self-study. Examples of apps of calculus to physics, engineering and economics are included, as well as many practice questions and illustrative diagrams to assist the reader's grasp of the material.

• Applied Analysis (John K. Hunter, et al)

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor.

• Calculus: Theory and Applications (Kenneth Kuttler)

This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products.

• Advanced Calculus (Lynn H. Loomis, et al)

Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking.

• Active Calculus (Matt Boelkins)

Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in order to present the standard concepts and computational techniques of calculus.

• Calculus (WikiBooks)

This wikibook aims to be a high quality calculus textbook through which users can master the discipline. Standard topics such as limits, differentiation and integration are covered, as well as several others.

• Precalculus: An Investigation of Functions (David Lippman, et al)

Comprehensive and evenly paced, this book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas.

Book Categories
 : All Categories Top Free Books Recent Books Miscellaneous Books Computer Engineering Computer Languages Computer Science Data Science/Database Java and Jakarta EE Linux and Unix Mathematics Microsoft and .NET Mobile Computing Networking and Communications Software Engineering Special Topics Web Programming
Other Categories