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Calculus Without Limits: Almost

Posted by Deneen Johnigan on Monday, 3 May 2010
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Great Price "Calculus Without Limits: Almost" for $19.62 Today



The 3rd Edition of Calculus without Limits has a full-subject index and expanded material on applied optimization problems, which includes a calculus-based demonstration of the Pythagorean Theorem. One of the unique features of Calculus without Limits is the smooth transition into elementary differential equations and associated physics. This is made possible by the almost exclusive use of differentials in order to develop the subject manner. The book has four intended uses: 1) as a supplement to a standard college calculus course, 2) as a self-help study guide, 3) as a resource for bright high school students about to tackle the AP calculus exam, 4) and as a primary high-school text for a single-term introduction to single-variable calculus (a suggested course outline is included in the introduction)--especially good for home-schoolers.


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Calculus Without Limits: Almost Overviews

Calculus Without Limits is an original exposition of single-variable calculus using the classic differential approach. Written in an engaging, popular style by an award-winning teacher, Calculus Without Limits is the first completely new calculus book to hit the shelves in 95 years that deliberately minimizes the use of limits, one of the major stumbling blocks initially standing in the way of calculus students.

Calculus Without Limits presents its subject in nine chapters: 1) `Introduction', 2) `Barrow's Diagram', 3) `The Two Fundamental Problems of Calculus', 4) `Foundations', 5) `Solving the First Problem', 6) `Antiprocesses', 7) `Solving the Second Problem', 8) `Sampling the Power of Differential Equations', and 9) `Conclusion: Magnificent Shoulders'. Approximately 85 diagrams and a plethora of worked examples help facilitate student understanding in an exposition that measures a mere 330 pages from cover to cover. Real-life applications examine problems from a variety of disciplines ranging from physics to finance. Additionally, Calculus Without Limits provides plenty of practice for the beginning calculus student via 200 exercises from routine to quite challenging--all answered in an `Answer to Problems' section in the back of the book. Five appendices summarize key formulas from various mathematical disciplines, and a brief one-page bibliography completes the book.

Calculus Without Limits is suitable as a self-study text or as supplementary text augmenting a regular multi-term college calculus sequence. It can also serve as the primary text for a one-term Business Calculus or Calculus for Appreciation Course. Advanced High School Students will find it ideal for quickly mastering calculus basics before engaging a more rigorous college offering. Lastly, Calculus Without Limits is meant for all those people who really never learned the why behind calculus, and now, many years later--perhaps as a practicing professional--may want to reacquaint themselves with an old academic friend for the very first time.

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Customer Review


Professor of Mathematics - Robert A. Chaney - Dayton, Ohio United States
This is a very interesting approach to understanding Calculus. John is an excellent writer and not only has strong background in Mathematics but also in Science & Engineering. He is well-versed in Computational Science and has many years of experience in applying mathematics to the solving of real world problems. I would highly recommend this book to anyone who is learning or teaching Calculus.


Not recommended as an introduction to Calculus - N. Montero - Atlanta, GA
My primary objective is to transition high school and first-year college students from algebra/trigonometry/analytical geometry to calculus. My students are pretty sharp and don't appear to be troubled by limits if the concepts are explained and implemented with simple, cogent examples. I enjoyed "Calculus without Limits - almost" but was intrigued when none (zero) of my high school or first-year college calculus tutorial students found the book helpful. On the other hand if I hand them a copy of "Calculus Made Easy" by Silvanus P. Thompson or "Teach Yourself Calculus" by Hugh Neil they zoom right along with limits, differentials, derivatives, and so on. My one-star recommendation is therefore based upon its poor performance as an educational tool for my advanced high school and first-year college calculus students.



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