Review Best Textbooks for Calculus and Linear Algebra

In summary, the conversation discusses various calculus and geometry textbooks that are recommended for avid readers who enjoy proofs and challenging problem solving. The books mentioned include Differential and Integral Calculus by Edmund Landau, Introduction to Linear Algebra by Marvin Marcus, Infinitesimal Calculus by James M. Henle, Elementary Analysis by Kenneth A. Ross, and Problems in Calculus of One Variable. The conversation also mentions New Horizons in Geometry by Tom Apostol and provides links to reviews and information on these books.
  • #1
theoristo
153
3
I found some very interesting reading and would like to see the review of the avid textbook readers on this site:

Differential and Integral Calculus 3EDby Edmund Landau https://www.amazon.com/dp/0821828304/?tag=pfamazon01-20(who loves proofs?,this book contain only proofs,so only for those smart enough to learn this way)
Introduction to Linear Algebra by Marvin Marcus https://www.amazon.com/dp/0821828304/?tag=pfamazon01-20
Infinitesimal Calculus (Dover Books on Mathematics) by James M. Henle https://www.amazon.com/dp/0486428869/?tag=pfamazon01-20
Elementary Analysis: The Theory of Calculus
Kenneth A. Ross https://www.amazon.com/dp/038790459X/?tag=pfamazon01-20
Problems in Calculus of One Variable https://www.amazon.com/dp/8123902522/?tag=pfamazon01-20(this is a russian problem book,so it must be good)
New Horizons in Geometry (Dolciani Mathematical Expositions) Tom Apostol
https://www.amazon.com/dp/088385354X/?tag=pfamazon01-20
 
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1. What are the best textbooks for learning Calculus and Linear Algebra?

The best textbooks for learning Calculus and Linear Algebra are subjective and may vary based on individual learning styles and preferences. However, some commonly recommended textbooks include "Calculus: Early Transcendentals" by James Stewart, "Linear Algebra and Its Applications" by David C. Lay, and "Calculus and Linear Algebra for Applied" by Ronald L. Lipsman.

2. What makes these textbooks stand out from others?

These textbooks are known for their clear explanations, comprehensive coverage of important topics, and numerous practice problems and examples. They also offer online resources such as practice quizzes and video tutorials to aid in understanding the material.

3. Are there any free online resources for these subjects?

Yes, there are many free online resources available for learning Calculus and Linear Algebra. Some popular ones include Khan Academy, Coursera, and MIT OpenCourseWare. These resources offer video lectures, practice problems, and interactive exercises to help supplement textbook learning.

4. How can I choose the right textbook for my learning style?

It is important to consider your learning style when choosing a textbook. If you prefer a more visual approach, look for textbooks with plenty of diagrams and illustrations. If you learn better through practice, choose a textbook with a large number of practice problems and solutions. It may also be helpful to read reviews and ask for recommendations from peers or instructors.

5. Can I use these textbooks for self-study or do I need a teacher?

These textbooks can be used for self-study, but having a teacher or tutor to guide you and answer any questions may be beneficial. Additionally, attending lectures or joining study groups can also enhance your understanding of the material and provide additional resources for learning.

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