Mixing
Real Analysis book with Solved Answers
$begingroup$
I'm a self-learner in maths & starting with real analysis. I looked for many books and many suggestions here (like this and this and many more) & finally choose Tao's Analysis volume. It's beatifully written, giving a beautiful overview and connected one aspect with another.
But since my mathematical maturity is still not that developed, sometimes I had to struggle pretty hard in undestanding simple things (like "$varepsilon$ follow the axiom of substitution for equality", etc.). Another challenge I'm facing is many of the propositions in this book are given as exercise. This might be good, but for newcommer like me, it's bit difficult.
So, I was looking for a companion book which might help me practice my understanding while reading this book. The ordering of this alternative book's chapter might not be the same as Tao's (not even the entire scope as I think when I start understanding analysis bit more I can start walking with Tao on my own), but very similar. I don't want to go with Rudin as I want to use it after finishing Tao as test of my understanding.
Thanks!
real-analysis reference-request
asked Jan 12 at 17:17
BetaBeta
1256
$endgroup$
add a comment |
$begingroup$
I'm a self-learner in maths & starting with real analysis. I looked for many books and many suggestions here (like this and this and many more) & finally choose Tao's Analysis volume. It's beatifully written, giving a beautiful overview and connected one aspect with another.
But since my mathematical maturity is still not that developed, sometimes I had to struggle pretty hard in undestanding simple things (like "$varepsilon$ follow the axiom of substitution for equality", etc.). Another challenge I'm facing is many of the propositions in this book are given as exercise. This might be good, but for newcommer like me, it's bit difficult.
So, I was looking for a companion book which might help me practice my understanding while reading this book. The ordering of this alternative book's chapter might not be the same as Tao's (not even the entire scope as I think when I start understanding analysis bit more I can start walking with Tao on my own), but very similar. I don't want to go with Rudin as I want to use it after finishing Tao as test of my understanding.
Thanks!
real-analysis reference-request
asked Jan 12 at 17:17
BetaBeta
1256
$endgroup$
$begingroup$
You will have a hard time reading Rudin after Tao, I believe. Unless you read his second volume before Rudin.
$endgroup$
– Math_QED
Jan 12 at 20:54
$begingroup$
@Math_qed: I'm planning to complete both the volumes before starting Rudin. It's a beautiful book. Want to finish it quick but my ability stopping me. So asked this question if I get some help. Thanks for your suggestion.
$endgroup$
– Beta
Jan 12 at 21:01
add a comment |
$begingroup$
I'm a self-learner in maths & starting with real analysis. I looked for many books and many suggestions here (like this and this and many more) & finally choose Tao's Analysis volume. It's beatifully written, giving a beautiful overview and connected one aspect with another.
But since my mathematical maturity is still not that developed, sometimes I had to struggle pretty hard in undestanding simple things (like "$varepsilon$ follow the axiom of substitution for equality", etc.). Another challenge I'm facing is many of the propositions in this book are given as exercise. This might be good, but for newcommer like me, it's bit difficult.
So, I was looking for a companion book which might help me practice my understanding while reading this book. The ordering of this alternative book's chapter might not be the same as Tao's (not even the entire scope as I think when I start understanding analysis bit more I can start walking with Tao on my own), but very similar. I don't want to go with Rudin as I want to use it after finishing Tao as test of my understanding.
Thanks!
real-analysis reference-request
asked Jan 12 at 17:17
BetaBeta
1256
$endgroup$
I'm a self-learner in maths & starting with real analysis. I looked for many books and many suggestions here (like this and this and many more) & finally choose Tao's Analysis volume. It's beatifully written, giving a beautiful overview and connected one aspect with another.
But since my mathematical maturity is still not that developed, sometimes I had to struggle pretty hard in undestanding simple things (like "$varepsilon$ follow the axiom of substitution for equality", etc.). Another challenge I'm facing is many of the propositions in this book are given as exercise. This might be good, but for newcommer like me, it's bit difficult.
So, I was looking for a companion book which might help me practice my understanding while reading this book. The ordering of this alternative book's chapter might not be the same as Tao's (not even the entire scope as I think when I start understanding analysis bit more I can start walking with Tao on my own), but very similar. I don't want to go with Rudin as I want to use it after finishing Tao as test of my understanding.
Thanks!
real-analysis reference-request
real-analysis reference-request
asked Jan 12 at 17:17
BetaBeta
1256
asked Jan 12 at 17:17
BetaBeta
1256
asked Jan 12 at 17:17
BetaBeta
1256
asked Jan 12 at 17:17
BetaBeta
1256
asked Jan 12 at 17:17
BetaBeta
1256
1256
$begingroup$
You will have a hard time reading Rudin after Tao, I believe. Unless you read his second volume before Rudin.
$endgroup$
– Math_QED
Jan 12 at 20:54
$begingroup$
@Math_qed: I'm planning to complete both the volumes before starting Rudin. It's a beautiful book. Want to finish it quick but my ability stopping me. So asked this question if I get some help. Thanks for your suggestion.
$endgroup$
– Beta
Jan 12 at 21:01
add a comment |
$begingroup$
You will have a hard time reading Rudin after Tao, I believe. Unless you read his second volume before Rudin.
$endgroup$
– Math_QED
Jan 12 at 20:54
$begingroup$
@Math_qed: I'm planning to complete both the volumes before starting Rudin. It's a beautiful book. Want to finish it quick but my ability stopping me. So asked this question if I get some help. Thanks for your suggestion.
$endgroup$
– Beta
Jan 12 at 21:01
$begingroup$
You will have a hard time reading Rudin after Tao, I believe. Unless you read his second volume before Rudin.
$endgroup$
– Math_QED
Jan 12 at 20:54
$begingroup$
You will have a hard time reading Rudin after Tao, I believe. Unless you read his second volume before Rudin.
$endgroup$
– Math_QED
Jan 12 at 20:54
$begingroup$
@Math_qed: I'm planning to complete both the volumes before starting Rudin. It's a beautiful book. Want to finish it quick but my ability stopping me. So asked this question if I get some help. Thanks for your suggestion.
$endgroup$
– Beta
Jan 12 at 21:01
$begingroup$
@Math_qed: I'm planning to complete both the volumes before starting Rudin. It's a beautiful book. Want to finish it quick but my ability stopping me. So asked this question if I get some help. Thanks for your suggestion.
$endgroup$
– Beta
Jan 12 at 21:01
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
Well, I really like the book of R.P. Burn: Numbers and Functions - Steps into Analysis.
Publisher: Cambridge University Press
Online publication date: May 2018
Print publication year: 2015
Online ISBN: 9781316018392
https://doi.org/10.1017/CBO9781316018392
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
$endgroup$
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
add a comment |
$begingroup$
The Way of Analysis by Robert Strichartz may suit your needs.
The author explains well what his intents are at the beginning of each chapter. Most proofs are often explained with not much left for the reader to figure out, and there's quite a bit of intuition accompanied with this explanations. There's even a preliminary chapter as well for the information concerning logical quantifieres, proofs, and sets.
https://www.amazon.com/Analysis-Revised-Jones-Bartlett-Mathematics/dp/0763714976/ref=sr_1_1?ie=UTF8&qid=1547313840&sr=8-1&keywords=strichartz+way+of+analysis
answered Jan 12 at 17:30
MetricMetric
1,22149
$endgroup$
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
add a comment |
$begingroup$
Spivak's Calculus is a classic texts for people who want a gentle introduction to real analysis.
The book contains many problem and there are completely solved exercise sheets online for all exercices. The author also included solutions/answers to selected problems in the back.
You can't go wrong with this text. Spivak learns to think you as a mathematician.
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
$endgroup$
1
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
add a comment |
Your Answer
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Well, I really like the book of R.P. Burn: Numbers and Functions - Steps into Analysis.
Publisher: Cambridge University Press
Online publication date: May 2018
Print publication year: 2015
Online ISBN: 9781316018392
https://doi.org/10.1017/CBO9781316018392
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
$endgroup$
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
add a comment |
$begingroup$
Well, I really like the book of R.P. Burn: Numbers and Functions - Steps into Analysis.
Publisher: Cambridge University Press
Online publication date: May 2018
Print publication year: 2015
Online ISBN: 9781316018392
https://doi.org/10.1017/CBO9781316018392
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
$endgroup$
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
add a comment |
$begingroup$
Well, I really like the book of R.P. Burn: Numbers and Functions - Steps into Analysis.
Publisher: Cambridge University Press
Online publication date: May 2018
Print publication year: 2015
Online ISBN: 9781316018392
https://doi.org/10.1017/CBO9781316018392
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
$endgroup$
Well, I really like the book of R.P. Burn: Numbers and Functions - Steps into Analysis.
Publisher: Cambridge University Press
Online publication date: May 2018
Print publication year: 2015
Online ISBN: 9781316018392
https://doi.org/10.1017/CBO9781316018392
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
answered Jan 12 at 17:20
WuestenfuxWuestenfux
4,4901413
4,4901413
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
add a comment |
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
$begingroup$
This is really a very interesting book! Thanks for your answer!!!
$endgroup$
– Beta
Jan 12 at 17:29
add a comment |
$begingroup$
The Way of Analysis by Robert Strichartz may suit your needs.
The author explains well what his intents are at the beginning of each chapter. Most proofs are often explained with not much left for the reader to figure out, and there's quite a bit of intuition accompanied with this explanations. There's even a preliminary chapter as well for the information concerning logical quantifieres, proofs, and sets.
https://www.amazon.com/Analysis-Revised-Jones-Bartlett-Mathematics/dp/0763714976/ref=sr_1_1?ie=UTF8&qid=1547313840&sr=8-1&keywords=strichartz+way+of+analysis
answered Jan 12 at 17:30
MetricMetric
1,22149
$endgroup$
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
add a comment |
$begingroup$
The Way of Analysis by Robert Strichartz may suit your needs.
The author explains well what his intents are at the beginning of each chapter. Most proofs are often explained with not much left for the reader to figure out, and there's quite a bit of intuition accompanied with this explanations. There's even a preliminary chapter as well for the information concerning logical quantifieres, proofs, and sets.
https://www.amazon.com/Analysis-Revised-Jones-Bartlett-Mathematics/dp/0763714976/ref=sr_1_1?ie=UTF8&qid=1547313840&sr=8-1&keywords=strichartz+way+of+analysis
answered Jan 12 at 17:30
MetricMetric
1,22149
$endgroup$
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
add a comment |
$begingroup$
The Way of Analysis by Robert Strichartz may suit your needs.
The author explains well what his intents are at the beginning of each chapter. Most proofs are often explained with not much left for the reader to figure out, and there's quite a bit of intuition accompanied with this explanations. There's even a preliminary chapter as well for the information concerning logical quantifieres, proofs, and sets.
https://www.amazon.com/Analysis-Revised-Jones-Bartlett-Mathematics/dp/0763714976/ref=sr_1_1?ie=UTF8&qid=1547313840&sr=8-1&keywords=strichartz+way+of+analysis
answered Jan 12 at 17:30
MetricMetric
1,22149
$endgroup$
The Way of Analysis by Robert Strichartz may suit your needs.
The author explains well what his intents are at the beginning of each chapter. Most proofs are often explained with not much left for the reader to figure out, and there's quite a bit of intuition accompanied with this explanations. There's even a preliminary chapter as well for the information concerning logical quantifieres, proofs, and sets.
https://www.amazon.com/Analysis-Revised-Jones-Bartlett-Mathematics/dp/0763714976/ref=sr_1_1?ie=UTF8&qid=1547313840&sr=8-1&keywords=strichartz+way+of+analysis
answered Jan 12 at 17:30
MetricMetric
1,22149
answered Jan 12 at 17:30
MetricMetric
1,22149
answered Jan 12 at 17:30
MetricMetric
1,22149
answered Jan 12 at 17:30
MetricMetric
1,22149
1,22149
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
add a comment |
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
Thanks Nectric! This is another wonderful book! I think I should follow both the suggestions given to this question.
$endgroup$
– Beta
Jan 12 at 18:01
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
$begingroup$
You're welcome, and have fun!
$endgroup$
– Metric
Jan 12 at 18:22
add a comment |
$begingroup$
Spivak's Calculus is a classic texts for people who want a gentle introduction to real analysis.
The book contains many problem and there are completely solved exercise sheets online for all exercices. The author also included solutions/answers to selected problems in the back.
You can't go wrong with this text. Spivak learns to think you as a mathematician.
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
$endgroup$
1
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
add a comment |
$begingroup$
Spivak's Calculus is a classic texts for people who want a gentle introduction to real analysis.
The book contains many problem and there are completely solved exercise sheets online for all exercices. The author also included solutions/answers to selected problems in the back.
You can't go wrong with this text. Spivak learns to think you as a mathematician.
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
$endgroup$
1
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
add a comment |
$begingroup$
Spivak's Calculus is a classic texts for people who want a gentle introduction to real analysis.
The book contains many problem and there are completely solved exercise sheets online for all exercices. The author also included solutions/answers to selected problems in the back.
You can't go wrong with this text. Spivak learns to think you as a mathematician.
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
$endgroup$
Spivak's Calculus is a classic texts for people who want a gentle introduction to real analysis.
The book contains many problem and there are completely solved exercise sheets online for all exercices. The author also included solutions/answers to selected problems in the back.
You can't go wrong with this text. Spivak learns to think you as a mathematician.
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
answered Jan 12 at 20:53
Math_QEDMath_QED
7,57431452
7,57431452
1
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
add a comment |
1
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
1
1
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
$begingroup$
Thanks for the suggestion. I'll look into this book.
$endgroup$
– Beta
Jan 12 at 21:15
add a comment |
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$begingroup$
You will have a hard time reading Rudin after Tao, I believe. Unless you read his second volume before Rudin.
$endgroup$
– Math_QED
Jan 12 at 20:54
$begingroup$
@Math_qed: I'm planning to complete both the volumes before starting Rudin. It's a beautiful book. Want to finish it quick but my ability stopping me. So asked this question if I get some help. Thanks for your suggestion.
$endgroup$
– Beta
Jan 12 at 21:01