Schaum's Outline of Advanced Calculus [Paperback]

Murray R. Spiegel (Author)

Book Description

ISBN-10: 0070602298 | ISBN-13: 978-0070602298 | Publication Date: June 1, 1968 | Edition: 1ST

Master advanced calculus with this simple-to-use guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!

Editorial Reviews

From the Back Cover

Master advanced calculus with this simple-to-use guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum¿s Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge over your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests; Find answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over lengthy texts. Schaum¿s Outlines give you the information your teachers expect you to know in handy and succinct format¿without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum¿s lets you study at your own pace and reminds you of all the important facts you need to remember¿fast! And Schaum¿s are so complete, they¿re perfect for preparing for graduate or professional exams. Inside, you will find: Coverage of all course fundamentals¿supplementing any class text; 925 fully worked problems, including step-by-step solutions; Ideal format for independent study; Clear explanations of all the principal concepts you need in advanced calculus. If you want top grades and a thorough understanding of advanced calculus, this powerful study tool is the best tutor you can have! Chapters include: Numbers. Functions, Limits, and Continuity. Sequences. Derivatives. Integrals. Partial Derivatives. Vectors. Applications of Partial Derivatives. Multiple Integrals. Line Integrals, Surface Integrals, and Integral Theorems. Infinite Series. Improper Integrals. Gamma and Beta Functions. Fourier Series. Fourier Integrals. Elliptic Integrals. Functions of a Complex Variable.

About the Author

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center. --This text refers to an out of print or unavailable edition of this title.

Product Details

• Paperback: 400 pages
• Publisher: Mcgraw-Hill; 1ST edition (June 1, 1968)
• Language: English
• ISBN-10: 0070602298
• ISBN-13: 978-0070602298
• Product Dimensions: 10.7 x 8.1 x 0.8 inches
• Shipping Weight: 1.6 pounds
• Average Customer Review: 4.0 out of 5 stars  See all reviews (20 customer reviews)
• Amazon Best Sellers Rank: #870,849 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

25 of 25 people found the following review helpful:

4.0 out of 5 stars A Different Take on Advanced Calculus, February 16, 2006

By 

calvinnme - See all my reviews
(HALL OF FAME REVIEWER)    (VINE VOICE)    (TOP 50 REVIEWER)   

This review is from: Schaum's Outline of Advanced Calculus, Second Edition (Paperback)

After finishing the first 3 semesters of what is basically applied Calculus, majors in pure mathematics part company with their fellow students and move on to what is called "advanced calculus" or "functional analysis". This jump to the next level of mathematics, in which basically students have to be taught calculus all over again from a rigorous proof-based method, is a rude awakening to many. Most textbooks used in this situation, such as those by Rudin, assume that a talented and enthusiastic instructor will be acting as tour guide for the student, and will fill in the gaps. Unfortunately, this is not always the case. This Schaum's outline works well for such a situation. It not only covers what you would expect to see in undergraduate analysis, it mixes proofs with solved numerical problems and applications so that the student does not get bogged down or bored as can be the case with many of the texts on the subject that have nothing but proofs as exercises. In that way, it is unconventional in its treatment of the subject. Also, it provides more explanation and tutorial than you will find in the average Schaum's outline, and is pretty good at illustrating the correct way to perform a proof. If you can afford it, an excellent companion text to this Schaum's outline is Abbott's "Understanding Analysis", which can be used for self teaching of analysis because it is so detailed and clear.

41 of 46 people found the following review helpful:

5.0 out of 5 stars swoosh, November 29, 1999

By 

Frank Bock - See all my reviews

This review is from: Schaum's Outline of Advanced Calculus (Paperback)

These books are a cheap suplement for courses or whatever you desire, and in general, especially the ones written by the late Murray Spiegel, are quite excellent.

These books are certainly not intended for courses as they cannot go into extreme depth. However, if they are assigned, the student is assumed to have enough sense to venture elsewhere (the library maybe) and find supplemental books for learning in depth stuff. Thats all part of learning.

This book (now in an updated version with some really weird title which makes it worth buying alone! ) is quite excellent. Don't go and get it expecting to learn a course from. But it is good for a) a supplement for a course. b) a supplement for another course... it has lots of solved problems which oftentimes help in other courses and c) to refresh yourself on things you may have forgotten.

I'd also recommend you get Spiegel's Mathematical Handbook. It is absolutely indespensible. It is just a fantastic thing that everyone should have. When you are born, they should cut your umbilical cord and hand you a copy of Spiegel's Mathematical Handbook and you will have no problems ever in life. Get both. Get a whole lot of Schaums because they are so damn cheap and useful.

11 of 12 people found the following review helpful:

4.0 out of 5 stars Gets to the point, October 26, 2000

By 

Jide Famuyide (Sophia Antipolis Cedex France) - See all my reviews

This review is from: Schaum's Outline of Advanced Calculus (Paperback)

I used this book during my undergraduate Mathematics program & quite frankly, it saved my skin. It cuts the fat & gets to the point. This is indispensible if you have to do a quick revision for tests or exams.

I really appreciated the "loads" of worked examples which greatly aided my understanding. It is best used as a *supplement* to other detailed books on the subject. It is still my prefered reference book on Advanced Calculus.