Once again a question about self-studying real analysis by an amateur graces these forums, but I am fairly certain these authors have not been mentioned here so far and I would appreciate your thoughts.
I am currently torn between the following two paths for learning analysis:
[More Mainstream books]
- Introduction to Real Analysis (by Robert Bartle)
- Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach (by Hubbard&Hubbard)
Or
[The series of books by Jacob & Evans]
- https://www.amazon.co.uk/Course-Analysis-Introductory-Calculus-Functions/dp/9814689092/ref=pd_sbs_14_3?_encoding=UTF8&pd_rd_i=9814689092&pd_rd_r=5fc48019-fac3-11e8-a264-19c21d2ec568&pd_rd_w=TPZUc&pd_rd_wg=1xZ4X&pf_rd_p=18edf98b-139a-41ee-bb40-d725dd59d1d3&pf_rd_r=095364ZX5K2QJ1H2SZS0&psc=1&refRID=095364ZX5K2QJ1H2SZS0
- https://www.amazon.co.uk/Course-Analysis-Differentiation-Integration-Functions/dp/9813140968/ref=pd_sbs_14_1?_encoding=UTF8&pd_rd_i=9813140968&pd_rd_r=e6a7cab3-fac4-11e8-ad45-bf011ec9f832&pd_rd_w=soq8b&pd_rd_wg=O20Kc&pf_rd_p=18edf98b-139a-41ee-bb40-d725dd59d1d3&pf_rd_r=KFM070QJCAHCV541V3PQ&psc=1&refRID=KFM070QJCAHCV541V3PQ
The latter books by Jacob & Evans are the first two in a series of seven containing completely solved exercises. Reviews and previews are hard to come by, I only managed to find these
Review:
- Volume 1 : https://www.maa.org/press/maa-reviews/a-course-in-analysis-volume-i-introductory-calculus-analysis-of-functions-of-one-real-variable
- Volume 2 : https://www.maa.org/press/maa-reviews/a-course-in-analysis-volume-ii-differentiation-and-integration-of-functions-of-several-variables
Preview:
Does anyone have any experience with these books? If not, what do you think based on the previews/reviews? Or should I just stick to the conventional Bartle/Hubbard path? Or any other suggestions for someone who has self-studied the following books so far :
Calculus (Stewart),Vector Calculus (Colley, skipped many proofs)
Discrete mathematics (by Epp),Complex Analysis (Zill & Shanahan, did most proofs)
There were some other ones as well...but too long ago now
Thanks.
P.S. I found some additional chapter previews here: https://www.worldscientific.com/worldscibooks/10.1142/9625#t=suppl