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Is there a comprehensive book, contains (algebra, trig, calculus, differential equations, statistics, …)?

Best Book For Differential Equations?Book for differential equationsCalculus book: for statistics and computer scienceBooks to release our inner Ubermensch with calculus?Looking for a rigorous analysis bookBook suggestions on differential equationsRelearn, improve and filling gaps in Mathematics for UniversityProbability and Statistics Books for Distributions and Introduction to Data Mining/Machine LearningBook recommendations for highschool/undergrad calculus

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2

1

$begingroup$

Best mathematical book that include all of the following:

• Algebra and linear algebra: (Numbers, fractions, exponents, log, factoring, equations, matrices and determinants, etc...)




• Trigonometry: (Trig. ratios; sin,cos,tan, csc,sec,cot, sine rule, cosine rule, Hero's formula, sum to product, half and double angles, etc...)




• Calculus I: (Limits, ordinary differentiation, partial differentiation, implicit differentiation, directional derivatives, etc...)




• Calculus II: (integration, tables of integration, IBP, trig sub, trig integrals, arc length, surface of revolution, volume of revolution, ets...)




• Calculus III: (Vectors, double integral, triple integral, volume integral, optimisation, ...)




• Statistics: (Probability, central tendency: mean, median, mode, variance, SD, counting, sum and product rules, permutation, combination, etc...)




• Differential Equations: (Variable separable DE, homogeneous DE, growth and decay such as Newton's low of cooling/heating, variation of parameters, Wronskain, Rung-kuta method, Newton method, Euler method, Laplace transform, ets...)




• Engineering mathematics: (Line integrals, Stoke's theorem, Green theorem, Contor integrals, ets...)

It is not necessary to have deep/details of all of the above, but it is necessary to have all of the categories (Algebra, Trigonometry, Calculus I,II,III, Statistics, Differential Equations, Engineering Mathematics) even with brief and basic ideas.

In other words, I want a comprehensive book even not detailed one.

Are there such books? Which one do you prefer? Is it hard copy or soft
copy (eg. PDF file)? Is it cheap or expensive?

No matter if it is old, like 1980 or older, it is ok if it is handful.

AGAIN, the book should not be detailed, but at least contains all of the above briefly.

Any help/suggestion would be really appreciated. THANKS!

book-recommendation

share|cite|improve this question

edited 8 hours ago

Hussain-Alqatari

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

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$endgroup$

add a comment
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2

1

$begingroup$

Best mathematical book that include all of the following:

• Algebra and linear algebra: (Numbers, fractions, exponents, log, factoring, equations, matrices and determinants, etc...)




• Trigonometry: (Trig. ratios; sin,cos,tan, csc,sec,cot, sine rule, cosine rule, Hero's formula, sum to product, half and double angles, etc...)




• Calculus I: (Limits, ordinary differentiation, partial differentiation, implicit differentiation, directional derivatives, etc...)




• Calculus II: (integration, tables of integration, IBP, trig sub, trig integrals, arc length, surface of revolution, volume of revolution, ets...)




• Calculus III: (Vectors, double integral, triple integral, volume integral, optimisation, ...)




• Statistics: (Probability, central tendency: mean, median, mode, variance, SD, counting, sum and product rules, permutation, combination, etc...)




• Differential Equations: (Variable separable DE, homogeneous DE, growth and decay such as Newton's low of cooling/heating, variation of parameters, Wronskain, Rung-kuta method, Newton method, Euler method, Laplace transform, ets...)




• Engineering mathematics: (Line integrals, Stoke's theorem, Green theorem, Contor integrals, ets...)

It is not necessary to have deep/details of all of the above, but it is necessary to have all of the categories (Algebra, Trigonometry, Calculus I,II,III, Statistics, Differential Equations, Engineering Mathematics) even with brief and basic ideas.

In other words, I want a comprehensive book even not detailed one.

Are there such books? Which one do you prefer? Is it hard copy or soft
copy (eg. PDF file)? Is it cheap or expensive?

No matter if it is old, like 1980 or older, it is ok if it is handful.

AGAIN, the book should not be detailed, but at least contains all of the above briefly.

Any help/suggestion would be really appreciated. THANKS!

book-recommendation

share|cite|improve this question

edited 8 hours ago

Hussain-Alqatari

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

1,21611 silver badge1414 bronze badges

$endgroup$

add a comment
 | 

$begingroup$

Best mathematical book that include all of the following:

• Algebra and linear algebra: (Numbers, fractions, exponents, log, factoring, equations, matrices and determinants, etc...)




• Trigonometry: (Trig. ratios; sin,cos,tan, csc,sec,cot, sine rule, cosine rule, Hero's formula, sum to product, half and double angles, etc...)




• Calculus I: (Limits, ordinary differentiation, partial differentiation, implicit differentiation, directional derivatives, etc...)




• Calculus II: (integration, tables of integration, IBP, trig sub, trig integrals, arc length, surface of revolution, volume of revolution, ets...)




• Calculus III: (Vectors, double integral, triple integral, volume integral, optimisation, ...)




• Statistics: (Probability, central tendency: mean, median, mode, variance, SD, counting, sum and product rules, permutation, combination, etc...)




• Differential Equations: (Variable separable DE, homogeneous DE, growth and decay such as Newton's low of cooling/heating, variation of parameters, Wronskain, Rung-kuta method, Newton method, Euler method, Laplace transform, ets...)




• Engineering mathematics: (Line integrals, Stoke's theorem, Green theorem, Contor integrals, ets...)

It is not necessary to have deep/details of all of the above, but it is necessary to have all of the categories (Algebra, Trigonometry, Calculus I,II,III, Statistics, Differential Equations, Engineering Mathematics) even with brief and basic ideas.

In other words, I want a comprehensive book even not detailed one.

Are there such books? Which one do you prefer? Is it hard copy or soft
copy (eg. PDF file)? Is it cheap or expensive?

No matter if it is old, like 1980 or older, it is ok if it is handful.

AGAIN, the book should not be detailed, but at least contains all of the above briefly.

Any help/suggestion would be really appreciated. THANKS!

book-recommendation

share|cite|improve this question

edited 8 hours ago

Hussain-Alqatari

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

1,21611 silver badge1414 bronze badges

$endgroup$

share|cite|improve this question

edited 8 hours ago

Hussain-Alqatari

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

1,21611 silver badge1414 bronze badges

share|cite|improve this question

edited 8 hours ago

Hussain-Alqatari

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

1,21611 silver badge1414 bronze badges

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

1,21611 silver badge1414 bronze badges

asked 8 hours ago

Hussain-AlqatariHussain-Alqatari

1,21611 silver badge1414 bronze badges

3 Answers
3

active

oldest

votes

3

$begingroup$

There are books called some variation on "Mathematical methods in $X$" which cover almost all, if not all, of the topics you mention. Three examples I am aware of:

• Mathematical Methods in Physics and Engineering by Riley, Hobson and Bence (Cambridge University Press, currently in its third edition, 2006).




• Mathematical Methods in the Physical Sciences by M. L. Boas (Wiley, third edition 2005).




• Mathematical Methods for Physicists: A Comprehensive Guide by Arfken, Weber and Harris (Academic Press, seventh edition 2012).

You can check the tables of contents of all three on Amazon.

share|cite|improve this answer

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I check the table of contents of the first book. It seems so useful. THANKS DEAR.
  $endgroup$
  – Hussain-Alqatari
  6 hours ago
  

  
  
  
  

add a comment
 | 

3

$begingroup$

You probably won't find a single book that meets all of
your requirements so you have to settle for one book
that more or less covers what you think you need and in
enough detail. I suggest the 1999 Dover Publications
one volume book Mathematics: Its Content, Methods and
Meaning by Aleksandrov, Kolmogorov, and Lavrent'ev. It
has over 1000 pages and much more than you wanted to know.
You can read more about this book in its entry at
goodreads.

share|cite|improve this answer

edited 5 hours ago

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

$endgroup$

add a comment
 | 

0

$begingroup$

One I advice is "The Princeton Companion to Mathematics": comprehensive, complete and so well written! Good luck!

share|cite|improve this answer

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges

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add a comment
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3

$begingroup$

There are books called some variation on "Mathematical methods in $X$" which cover almost all, if not all, of the topics you mention. Three examples I am aware of:

• Mathematical Methods in Physics and Engineering by Riley, Hobson and Bence (Cambridge University Press, currently in its third edition, 2006).




• Mathematical Methods in the Physical Sciences by M. L. Boas (Wiley, third edition 2005).




• Mathematical Methods for Physicists: A Comprehensive Guide by Arfken, Weber and Harris (Academic Press, seventh edition 2012).

You can check the tables of contents of all three on Amazon.

share|cite|improve this answer

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I check the table of contents of the first book. It seems so useful. THANKS DEAR.
  $endgroup$
  – Hussain-Alqatari
  6 hours ago
  

  
  
  
  

add a comment
 | 

3

$begingroup$

There are books called some variation on "Mathematical methods in $X$" which cover almost all, if not all, of the topics you mention. Three examples I am aware of:

• Mathematical Methods in Physics and Engineering by Riley, Hobson and Bence (Cambridge University Press, currently in its third edition, 2006).




• Mathematical Methods in the Physical Sciences by M. L. Boas (Wiley, third edition 2005).




• Mathematical Methods for Physicists: A Comprehensive Guide by Arfken, Weber and Harris (Academic Press, seventh edition 2012).

You can check the tables of contents of all three on Amazon.

share|cite|improve this answer

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I check the table of contents of the first book. It seems so useful. THANKS DEAR.
  $endgroup$
  – Hussain-Alqatari
  6 hours ago
  

  
  
  
  

add a comment
 | 

$begingroup$

There are books called some variation on "Mathematical methods in $X$" which cover almost all, if not all, of the topics you mention. Three examples I am aware of:

• Mathematical Methods in Physics and Engineering by Riley, Hobson and Bence (Cambridge University Press, currently in its third edition, 2006).




• Mathematical Methods in the Physical Sciences by M. L. Boas (Wiley, third edition 2005).




• Mathematical Methods for Physicists: A Comprehensive Guide by Arfken, Weber and Harris (Academic Press, seventh edition 2012).

You can check the tables of contents of all three on Amazon.

share|cite|improve this answer

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

$endgroup$

share|cite|improve this answer

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

answered 7 hours ago

ChappersChappers

58.3k77 gold badges4646 silver badges9999 bronze badges

3

$begingroup$

You probably won't find a single book that meets all of
your requirements so you have to settle for one book
that more or less covers what you think you need and in
enough detail. I suggest the 1999 Dover Publications
one volume book Mathematics: Its Content, Methods and
Meaning by Aleksandrov, Kolmogorov, and Lavrent'ev. It
has over 1000 pages and much more than you wanted to know.
You can read more about this book in its entry at
goodreads.

share|cite|improve this answer

edited 5 hours ago

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

$endgroup$

add a comment
 | 

3

$begingroup$

You probably won't find a single book that meets all of
your requirements so you have to settle for one book
that more or less covers what you think you need and in
enough detail. I suggest the 1999 Dover Publications
one volume book Mathematics: Its Content, Methods and
Meaning by Aleksandrov, Kolmogorov, and Lavrent'ev. It
has over 1000 pages and much more than you wanted to know.
You can read more about this book in its entry at
goodreads.

share|cite|improve this answer

edited 5 hours ago

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

$endgroup$

add a comment
 | 

$begingroup$

You probably won't find a single book that meets all of
your requirements so you have to settle for one book
that more or less covers what you think you need and in
enough detail. I suggest the 1999 Dover Publications
one volume book Mathematics: Its Content, Methods and
Meaning by Aleksandrov, Kolmogorov, and Lavrent'ev. It
has over 1000 pages and much more than you wanted to know.
You can read more about this book in its entry at
goodreads.

share|cite|improve this answer

edited 5 hours ago

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

$endgroup$

share|cite|improve this answer

edited 5 hours ago

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

answered 8 hours ago

SomosSomos

17.9k11 gold badge1515 silver badges4040 bronze badges

0

$begingroup$

One I advice is "The Princeton Companion to Mathematics": comprehensive, complete and so well written! Good luck!

share|cite|improve this answer

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges

$endgroup$

add a comment
 | 

0

$begingroup$

One I advice is "The Princeton Companion to Mathematics": comprehensive, complete and so well written! Good luck!

share|cite|improve this answer

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges

$endgroup$

add a comment
 | 

$begingroup$

One I advice is "The Princeton Companion to Mathematics": comprehensive, complete and so well written! Good luck!

share|cite|improve this answer

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges

$endgroup$

share|cite|improve this answer

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges

answered 6 hours ago

Steven31415Steven31415

10888 bronze badges