Processing ......
FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World
 
Yet Another Calculus Text: A Short Introduction with Infinitesimals
Top Free Machine Learning Books 🌠 - 100% Free or Open Source!
  • Title: Yet Another Calculus Text: A Short Introduction with Infinitesimals
  • Author(s) Dan Sloughter
  • Publisher: Orange Grove Texts Plus (2009); eBook (Furman University; Creative Commons Licensed)
  • License(s): Creative Commons License (CC)
  • Hardcover/Paperback: 147 pages
  • eBook: HTML and PDF
  • Language: English
  • ISBN-10: 1616100893
  • ISBN-13: 978-1616100896
  • Share This:  

Book Description

I intend this book to be, firstly, an introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such as Abraham Robinson's Non-standard Analysis or Robert Goldblatt’s Lectures on the Hyperreals.

About the Authors
  • Dan Sloughter, Professor of Mathematics Emeritus, Furman University.
Reviews, Ratings, and Recommendations: Related Book Categories: Read and Download Links: Similar Books:
  • Elementary Calculus: An Infinitesimal Approach (H. Jerome Keisler)

    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.

  • 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.

  • 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.

  • 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.

  • Calculus Made Easy (Silvanus P. Thompson)

    This book is a popular math book to help modern readers of all levels understand the subject on calculus through simple way and explanation. It's not just theory-based but contains exercises and answers so you can practice the understanding for each chapter.

  • 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.

  • 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.

  • 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.

  • 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.

Book Categories
:
Other Categories
Resources and Links