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Customer Reviews (4)

a good reference, but it could be organized better
I found this book very intimidating at first, since it is basically written backwards from how I feel it should be.The simple, elegant and relatively intuitive applications make the last chapter, the complex and lengthy definitions and theorems make up the first few chapters.

If the first few chapters were appendices and it focused more on the creation of special functions from the three fundamental ones and applications of semi-integrals and semi-derivatives to diffusion it would be more accessible.

Don't be afraid of skipping the first portion of this book, and only looking at the last few chapters (which only infrequently refer to the dense material of the first few chapters).After reading the last half of the book, you may be more motivated to try to understand some of the details and proofs behind these intriguing operators, found in the first part.

I also found their non-standard presentation of hypergeometric series insightful.

A classical book
The Fractional Calculus by Keith B. Oldham is a classic book on the topic. To my best knowledge, it was the first book devoted exclusively on fractional calcylus. It includes a useful tables of fractional derivatives. It also discuss in detail many of the original dmathematical derivations that in more recent books are simply ommited by citing the Oldham's book. Unfortunately, in some parts its notation is a little complicated and not intuitive. Any way, it is a mandatory reference in any worl on fractional calculus.

Excellent book!
This is a great book. The only prerequisite I would say is calc 2 (know your series and integration very well) and perhaps a little bit of ordinary differential equations.

Summary : An excellent introduction to the field.

This was the first textbook devoted entirely to Fractional Calculus, and remains perhaps the best introduction to the field.It is a graduate level text for mathematicians, engineers and scientists, written in a clear pedagogical style, with excellent references and bibliography.

A brief historical survey traces contributions as far back as Leibnitz.Basic results of the traditional integer-order differential and integral calculus are summarized, and properties of some special functions are examined, as a foundation for what follows.Later in the book, many advanced special functions are described in terms of the hypergeometric function.

The notions of differentiation and integration are unified as differintegration.Grünwald's definition is presented which extends differintegration to non-integer orders, applicable to functions which satisfy certain conditions.Other definitions used historically are shown to be equivalent to, or special cases of the Grünwald definition.General properties of differintegration are examined, such as linearity and homogeneity.Results corresponding to those of traditional calculus are derived, such as Leibnitz' rule.Significant differences from traditional calculus are also shown, such as the lack of a useful chain rule.

The preceding results are illustrated by example, using elementary algebraic, trigonometric, and logarithmic functions, and some special functions, such as hypergeometric, Bessel, and Heaviside.The semiderivative and semiintegral are accorded additional scrutiny, due to their importance in applications.Tables of formulae for semiderivative and semiintegral are provided for elementary functions and common special functions, as well as formulae valid for arbitrary functions.The LaPlace transform or tables of Riemann-Liouville transforms may be used to extend these tables.

Practical techniques are presented both for numerical differintegration, suitable for computer implementation, and analog differentegration by means of electrical circuits.Some extraordinary fractional differential equations and semidifferential equations are solved analytically.Techniques of the fractional calculus are applied to a number of well-known problems in traditional calculus, including Abel's equation and Bessel's equation.

The diffusion equation and its relatives are treated in a short chapter on practical applications of the fractional calculus.The usual formulations for planar and spherical geometries are examined, including incorporation of sources and sinks, and restriction to finite media.

However, the most recent innovations in fractional calculus are not described, such as generalization to complex order.Also, although algorithms for evaluation of differintegrals may be easily derived from the definitions through the book, a set of exemplary pseudocode fragments would be most welcome.These minor flaws are understandable, given the 1974 vintage of the book.A little more material could have been given on Heaviside's Operational Calculus and its relationship to the fractional calculus - it exists only in the references.Similarly, although the link to Weyl calculus is noted, it is not elaborated.Finally, a few examples from rheology would enrich the applications section.

COMPARISON : This book covers much the same area as Kenneth Miller and Bertram Ross in "An Introduction to the Fractional Calculus and Fractional Differential Equations", Wiley, 1993.

Whereas Oldham and Spanier base their treatise largely on the Grünwald definition, Miller and Ross prefer to use the equivalent Riemann-Liouville definition.Both books contain comparable historical surveys, but Oldham and Spannier provide a more extensive bibliography, and employ a better pedagogical style.Miller and Ross provide results in forms better suited to computer implementation, and rely more on matrix techniques.Also, Miller and Ross provide a chapter on Weyl Calculus, and their practical examples include one from hydrology, but omit diffusion problems.Other than this, the two books share most of their strengths and have only a few weaknesses ... Read more

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Boiled-down essentials of the top-selling Schaum's Outline series for the student with limited time

What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form.

Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials.

• Designed to appeal to underprepared students and readers turned off by dense text
• Cartoons, sidebars, icons, and other graphic pointers get the material across fast
• Concise text focuses on the essence of the subject
• Delivers expert help from teachers who are authorities in their fields
• Perfect for last-minute test preparation
• So small and light that they fit in a backpack!

Customer Reviews (3)

Reviewing Kindle edition not book content: almost useless edition
The Kindle edition of this book is really lousy. I would suggest you don't buy it.

1) Graphics (as oposed to normal text) are mediocre at most. When math formulas are delivered as graphics, they are extremely pixelated to the point you can hardly read (e.g. in lim x->a, you can't read the x or the a). The color of the formula is a very light gray (not black) whith very low contrast. And the formulas are very large in comparison to the written text, which is annoying since 3 formulas can take the whole Kindle DX screen, and is very common to have text referring to a formula that is in the following page, when you have space in the same page). In summary, very large formulas which you can't read beacause of pixelation and lack of contrast. Function graphs are ok.

2) Each time a graphic appears, there is a huge space before and after it. These leaves pages that are have way too many blank spaces. It is a complete waste of the DX screen space. To follow a simple solution you may have to scroll easily through 3 pages.

3) Very poor editing. When formulas are texts (i.o. graphics as I mentioned in point 1), I found some mistakes.. e.g "x = 4 = 3" instead of "x = 4-3". While one can also find such mistakes in a print version, they are far less common. In the Kindle edition they become annoying.

4) The "boxes" with light gray of the print books are lost in the Kindle edition. The text of the box is there, but you don't immediately realize it is a box. So the flow of the text is difficult to follow.

I have four Easy Outine books in print and they are awesome. There are lots of info in a compact and clear layout. The spirit of the Easy Outlines is completely lost in the Kindle Edition. Would return it if I could.

Good for quick review; you still need to do homework.
This book should help you in reviewing your notes that you took in class. As the title of the book suggests, this is a crash course for general calculus.

Figures and graphs in the book should help you understand many different problems and how their solutions are derived. You should expect to solve many of the problems in the book yourself, on paper, also. That is the only way to understand mathematics; by doing it yourself. This book should help you get started in the right direction because of the ample examples present in it.

Do not expect to get rid your other calculus books and use this as the sole text for reviewing Calculus. This book is meant to be a companion to your other calculus textbooks, not their replacement. As good as it may be, you still need detailed explaination of rules and theories about Calculus, which are not explained in this book.

Outstanding aid to Calculus!
I'm a graduating senior and i just bought this book to get myself ready for college this year! It's an amazing book and is easy to understand. ... Read more

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Customer Reviews (11)

The Magna Guide To Calculus
This is an excellent book to teach yourself how to do calculus. Examples are excellent. It took me a while just to figure out what the word function meant until I read this. Then, it became a little more clearer. What better to way to learn than to have fun? Highly recommended.

Great gift idea
I got this as a gift for my son in law and he really likes the Japanese stuff
so I know he enjoyed the book.

Great Book
I have got to say, I am quite impressed with The Manga Guide to Calculus. As the title suggests, it is an introduction into the ideas of differential and integral calculus through the use of manga and a story line. The book fulfills on this goal and then some.

The Manga Guide to Calculus starts off with a brief introduction and review of functions. It then jumps right into derivatives, what they mean, and how to compute them. Integration is then considered along Taylor series and partial differentiation. Throughout the story, the guide frequently references real world applications in economics, physics, and chemistry, and explains problems in these fields through the use of calculus. The author also includes probability, statistics, and trigonometry sections with calculus explanations. Exercises exist at the end of each section for you to complete and solutions are presented at end of the book.

There are a few downsides to the manga style of presentation. Formal proofs and definitions do not lend themselves well to be included, and the book is certainly lacking in this area. There may also be some areas which the reader will have to go over a few times to fully understand and see how the book goes from one idea to the next because of the amount of information being presented.

I would recommend this book to those who want a brief review of calculus, beginners who want context as to its uses, and to those who enjoy reading a good math book. This book is not for those who need a thorough review since many important topics are skipped such as limits, related rates, and volumes of rotations. Overall, Hiroyuki Kojima and Shin Togami did an excellent job in writing and illustrating the book respectively, which makes The Manga Guide to Calculus a very different and attractive learning tool.

there will never exist a shortcut to calculus
There is a legend that when the greek mathematician Euclid was tutoring King Ptolemy in math, that Ptolemy in frustration with the difficulty of the subject asked Euclid if there was an easier way to explain the concepts, to which Euclid replied "there is no royal road to mathematics". That saying applies today to Calculus, there are no shortcuts to fast-track you into Calculus. You need a solid understanding of Algebra, Trigonometry and Geometry before you can learn Calculus. So if you have the prerequisite math background, you might find this book helpful. But if you think a cartoon book is going to open your eyes to the underlying concepts of Calculus and allow you to work backwards to understand the prerequisite math, well be prepared to have some cartoon characters make you look like a fool.

Excellent way to get in to calculus!
This book follows the same great approach as the Manga Guide to Physics: Break a complex idea down in to small pieces, clearly explain it with practical examples, and use the fun Manga comic style to wrap the entire concept in a great story.

I never took calculus in high school or college, yet I was able to get through the Guide and come out at the end with a pretty fair understanding of it. Moreover, I actually enjoyed the learning journey!

My nine year-old daughter loves these books and always reads through them after I'm done. She's not coming away from the books with great knowledge of the concepts, but she's finding them interesting, fun, and is less intimidated with the subjects. I think that's a big win because these guides are laying some good ground work for her to come back to later. ... Read more

Customer Reviews (1)

Practice, practice, practice...
The best way to learn Calculus is doing problems. This book is packed with problems and step by step solutions. I'm currently taking Calc 2 in college and this book has really helped when my instructor wasn't there. I highly recommend this book to high school and college students. ... Read more

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Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces

Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This volume encompasses both the automatic transformation of computer programs as well as the methodologies for the efficient exploitation of mathematical underpinnings or program structure. ... Read more

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DEFFERENTIAL EQN'S
math methods in egineering, statics of rigid bodies ... Read more

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Including a new section on graphing calculator usage, this guide is an updateof a classic that has sold over a million copies and has been translated intoseven languages. ... Read more

Customer Reviews (29)

Excellent supplement.
I used to check this out of the library. I kept renewing and finally just bought it. Same with the Beginning Calculus from Schaum. Since they review the subject matter, you still need a text book.
It works great for test review.

A very good book for studying calculus
I was recommended to buy this book by a math tutor from my college. He said many students who used this book properly aced emams, so I bought it a couple of months ago. I found it was a wonderful supplemental book for studying calculus. There are plenty of examples for you to work on, covering materials from the fundamentals of calculus to more advanced, intro to vector calculus. It is of great importance to practice in order to master the subject of calculus. Therefore, if you are looking for any supplemental exercises to play with, just go for it, Schaum's Outline of Calculus!

Schaum's Outlines are always helpful
I am currently a 2nd year graduate student, studying mathematics.With all the new topics and subjects I am learning, I have found that there is a Schaum's Outline for every subject.I purchase as many of them as I can find, and they have always helped me.I love the large sections of practice problems, as well.

Beginner's Calculus
This book is great for when you're beginning Calculus, but it doesn't give intense hard problems for it. Great study guide to review the basics but isn't the hardcore stuff.

Worth the investment
I bought this book to supplement my class textbook when I was having trouble in Calculus I. I chose this book over the many other supplements available because I knew I could carry forward into Calculus II and Multivariable Calculus.
As mentioned in many other reviews, this book provides plenty of practice problems, so if you're having an issue in one particular area in class or in the class's textbook, this is a good place to go to really thoroughly understand it. They provide a decent number of examples and solutions. Within each chapter are explanations of the lesson, followed by example problems with step-by-step solutions, and finally "Supplementary Problems" for you to solve on your own (though there are no answers in the back for you to check your work). It's also got some really good lists of trig formulas, geometric formulas, common integrals, and common derivitives.
The only thing I dislike about the book is that the explanations are rather poor compared to a textbook, but it's hardly surprising seeing as how this is an outline and that it covers topics from the beginning of Calc I all the way through differential equations of first and second order in under 600 pages.
I would totally recommend this book for the student looking to supplement a confusing textbook, or looking to brush up on concepts that have gotten a little rusty. ... Read more

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When it comes to understanding one of your most intimidating courses--calculus--even good students can be confused.Intended primarily for the non-engineering calculus student (though the more serious calculus student will also benefit), Calculus for the Utterly Confused is your ticket to success. Calculus concepts are explained and applied in such diverse fields as business, medicine, finance, economics, chemistry, sociology, physics, and health and environmental sciences. The message of Calculus for the Utterly Confused is simple: You donOt have to be confused anymore. With the wealth of expert advice from the authors who have taught many, many confused students, youOll discover a newer, fresher, clearer way to look at calculus.DonOt wait another minute--get on the road to higher grades and greater confidence, and go from utterly confused to totally prepared in no time! ... Read more

Customer Reviews (6)

very helpful for refreshing old memory
I graduated from college about 13 years ago. After working in the industry for around 9 years, my math is completely gone. When I decide to go back for a higher education, I found this good easy to read and it helps me refresh my memory in particular the basic concepts. It gives just enough amount of information for me to get my feet back on the ground. It lists useful laws, formula and when combining with examples, everything starts to make sense!

Good Idea-less than perfect execution
This little book is a terrific idea. However, it needed a careful editing before printing. The diagram on page 33 was not labeled. The answer on page 51 is wrong.The answer on page 55 contains an answer (t=533) that not only is wrong, but should have rung a bell with the authors when they got it. (The correct answer is 53.3, which can easily be verified.) This proves that using a hand calculator without thinking about what size the answer ought to be leads to embarassing errors. This actually is a very instructive example, but the conclusion that 27 years is the most appropriate time to harvest the forest has no supporting theory. At this frequency of errors, I expect to find more as I progress.

I'm sorry I wasted my money
Based on the description of this book, I thought I could gain a better grasp of the subject, only to discover that I was more confused than when I started.New concepts are thrown out with no explanation and examples are obscure at best.To make things worse, the silly cartoon-like attitude ofthe book is insulting to anyone who's looking for a serious solution totheir dilemma.The implication is that the material is as easy tounderstand as a child's book, but there is no help for those who don'timmediately grasp the concepts.After completing a Calculus class (andfeeling quite comfortable with the subject) I revisited the book andconfirmed that it is a terrible presentation for those who are in fact"Utterly Confused".I have sent it unceremoniously to the locallandfill.

A handy reference for calculus students.
This is one of the most easy to understand and clear calculus books that I have read in a long time. It concentrates on some of the most used/practical subjects that most college students will need for theirundergraduate studies. I have recommended this book to some of my friendsand the reason for me writing this review is because I would like to letother "confused" readers know about how much of a big help thisbook has been.

very helpful
I found the book very useful.I was terrified when I learned that I wouldhave to have calculus for my MBA program, but the book really helped mesucceed.I ended up with an A in the class, the first A I have everreceived in math. ... Read more

Product Description

In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation.

As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.

Product Description
D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. This book is the first comprehensive and self-contained treatment of this new method. It demonstrates, concisely but without sacrificing rigor or intelligibility, how even elementary concepts in differential geometry can be reformulated to obtain new and valuable insights. In addition, D-differentiation has applications in several areas of physics, such as classical mechanics, solid-state physics and general relativity.

This book will prove useful to all users of D-differentiation - from advanced graduate students onwards - and to those researching into new approaches to some branches of physics and mathematics. ... Read more

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Calculus with applications to the management, social, behavioral, and biomedical sciences. ... Read more

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In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy.

This wide range of applications is of interest to engineers, physicists and mathematicians.