What Makes Apostol's Advanced Calculus Text Stand Out?

In summary, Tom M. Apostol's two-volume book is a rigorous calculus text with a good number of exercises covering topics in integral and differential calculus. It also includes basic differential equations, elementary linear algebra, multivariable calculus, and probability theory. Although some may find the writing dry and the organization unconventional, it has been a standard text for many years and is likely available in most libraries.
  • #1
nameVoid
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im looking for an advanced calculus text somthing with more difficult problems than stewart. not an analytical style text but somthing with a good number of exercises covering topics in integral and differential calculus.
 
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  • #2
Tom M. Apostol's two-volume book is "the other" classic besides Spivak. It's rigorous, but it's a rigorous calculus text, not a "baby real analysis" book like Spivak. It covers single-variable calculus, basic differential equations, elementary linear algebra, multivariable calculus, and the beginnings of probability theory. There are a large number of exercises, both computational and theoretical. Some of them are challenging.

Small points against this book are that Apostol's writing is somewhat dry and boring and that he covers integration before differentiation, which some people find strange. It's also quite expensive, but it's old and has been a standard text for many years, so your library is likely to have a copy.
 

Related to What Makes Apostol's Advanced Calculus Text Stand Out?

What is the purpose of studying advanced calculus?

The purpose of studying advanced calculus is to gain a deeper understanding of mathematical concepts and their applications. It allows for more complex problem-solving skills and prepares students for higher-level mathematics courses.

What topics are typically covered in an advanced calculus text?

Topics covered in an advanced calculus text may include multivariable calculus, vector calculus, differential equations, and real analysis. Other topics may vary depending on the specific text and course.

What skills are needed to be successful in advanced calculus?

To be successful in advanced calculus, one should have a strong foundation in basic calculus concepts such as limits, derivatives, and integrals. It is also important to have good problem-solving skills and the ability to think critically and abstractly.

What resources are available to supplement an advanced calculus text?

There are many resources available to supplement an advanced calculus text, such as online tutorials, practice problems, and study guides. It may also be helpful to work with a tutor or participate in a study group.

How can advanced calculus be applied in the real world?

Advanced calculus has many real-world applications, such as in physics, engineering, economics, and computer science. It can be used to model and solve complex problems, analyze data, and make predictions in various fields.

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