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Questions tagged [book-recommendation]

This tag is for questions about recommendation of books for some particular area, topic, problem. Use this tag together with (reference-request) tag.

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The bible of geometry: Is there a modern treatment of geometries from the most primitive to the most advanced?

About 2000 years ago Euclid wrote a book that contains (almost) all the geometry that was known at his time. Today, in the 21st century, our knowledge of geometry increased drastically: our knowledge ...
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0answers
16 views

calculus and statistics combined course curriculum

My school is looking for non-AP options after Algebra 2 (common core) so they've decided to offer a combined introductory course of calculus and statistics. Not calculus-based statistics/probability, ...
2
votes
1answer
36 views

Suggestion for book on topological group and other topics.

What is a great book where I can find the following topics: 1. Topological groups; 2. Topological properties of orthogonal group $O(n)$; 3. Topological properties of special orthogonal ...
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0answers
138 views
+100

Book recommendation for learning image processing as an application of Fourier analysis

I have searched around this website for some references of applications of Fourier transform in image processing, but did not find any satisfactory ones. I have a major in maths. In years I always ...
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0answers
21 views

Vector analysis Book recommendation

this is an undergraduate student here. I am looking for a book which covers the following topics regarding vectors: Vector Differentiation Vector Integration Gradient, Divergence and Curl Green's ...
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0answers
13 views

C.J. van Duijn. An introduction to conservation laws: theory and applications to multi-phase flow. - PDF

I could not get the following reference and would like to know if someone can send me a PDF. I've researched at gen.lib, google and b-ok.org. If someone can help me with other suggesties of online ...
10
votes
1answer
132 views

Research level algebraic topology

I became very interested in Algebraic Topology more or less recently, and learnt a lot of "classical algebraic topology", including : Hatchers' Book, and more categorical approaches here and there ...
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0answers
28 views

PDE Book recommendations for Undergraduate

What is the best book of partial differential equation that contains homogeneous and inhomogeneous high order linear PDE such as undetermined coefficient methods to find particular solutions from PDE (...
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1answer
26 views

Book about summable families

after studying summable series, I know that there exists the concept of summable families. There is any book where I can find the proof of the basic properties of summable families? Thanks.
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0answers
49 views

Book about interpolation of functions by polynomials using linear algebra/projection

I've been asking a lot of questions about interpolation of functions using polynomials: Approximate $f(t) = 1-|2t-5|$ in $[2,3]$ by $p\in P_2$ by using the least squares method Approximate $f(x) = x^...
-1
votes
2answers
107 views

Calculus Book with Insane Problems or Techniques [closed]

Are there any books about Calculus, especially integration, with insane problems with amazing approach? Also, could you recommend me books for learning the integration techniques? I want to learn ...
2
votes
2answers
95 views

Looking for a different type of Linear Algebra book

Are there any good linear algebra books with lots of (mathematical, preferably algebraic or geometric-flavored) applications? E.g. I'm not so interested in the typical engineering-style applications ...
5
votes
1answer
37 views

Book-recommendations “Profinite Groups”

I started studying Profinite Groups a few weeks ago. I'm using the book "Profinite Groups" by Wilson as a basis, but the book is not clear enough sometimes (probably because I'm studying it for the ...
0
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1answer
23 views

Book reference request for “Synchronisation in discrete dynamical system”

I'm looking for rigorous mathematical treatment of synchronisation in discrete dynamical system, in particular, stability/unstability of syncronisation. It would be great if anyone gives me suggestion ...
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0answers
25 views

Book recommendation: fractals

I’m looking for a book to learn a bit more about fractals. I have to say I am a theoretical physicist, not a mathematician so it’d rather be mathematically simple (I don’t know what kind of maths are ...
1
vote
1answer
52 views

Reviewing Advanced Calculus in $\mathbb{R}^n$ Analysis

I’ve taken a few courses in advanced calculus and real analysis (adv calc 1, metric spaces, normed spaces, lebesgue integration), but I’m realizing that my advanced calculus/R^n analysis is not as ...
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0answers
26 views

books recommendations for discrete pde

I am a beginner of discrete PDE (PDE on graph)! Is there any book for discrete PDE which specifies the concept of differentiation and integration, laplacian and solving hyperbolic, parabolic, elliptic ...
3
votes
1answer
62 views

Books in ANT and Galois Theory with medium difficulty

I'm interested in learning Algebraic Number Theory and Galois Theory, so I was suggested Ireland Rosen and Stewart for them respectively. But the problem with the books is that the text is very very ...
2
votes
2answers
93 views

Introductory Abstract Algebra book for self study with solution manual [closed]

I have covered basics of proofs and i am doing Real Analysis side by side and so i wanted to dive into abstract algebra. Please suggest me for the same I would like to have a textbook in similar to ...
5
votes
1answer
78 views

Non-Commutative Algebra book

I am currently having a Master in topics such as Algebra, Geometry and Number Theory and recently I started studying Representation Theory where I've seen definition, theorems and propositions ...
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0answers
15 views

Is there a name/convention in Markov Chains for $g_{iH}^{(n)} = \Pr( X_n \in H, X_{n-1} \notin H, \cdots , X_1 \notin H \mid X_0 = i )$

I have incomplete notes from a professor. The goal of these notes is to create"a genetic model". It's about Markov chains and it goes like this: The probability to reach set $H$ from $i$ in n ...
1
vote
2answers
53 views

Book Suggestions - Primes, number theory, modular arithmetic

I am looking for introductory level books. For example, something that could prepare me for diving into modular arithmetic. I am learning a bit on my own, but I definitely am lacking in background ...
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0answers
42 views

Understanding cryptography

Basically, I am trying to study cryptography, and the primary resource that I have is: Introduction to Cryptography by D. R. Stinson, So, I barely made pass the SPN algorithm described and am ...
2
votes
1answer
75 views

Books on how to solve euclidean geometry problems

I am looking for books on problem solving techniques for euclidean geometry. I found these "Methods of Solving Complex Geometry Problems" by Grigorieva "Solving Problems In Geometry" by Gusev, ...
0
votes
2answers
94 views

Books/courses for math-interested 17 year old?

I'm a 17 year old junior looking to further develop my mathematical skills in order to better prepare myself for university level pure mathematics. I'm looking for books/courses in Analysis, Linear ...
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0answers
34 views

Book recommendation on matrix differentiation

As the title says, I am looking for a good reference on matrix differentiation. I have already studied the content of Harville's contribution on the topic, but I would like to know if there are ...
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0answers
11 views

Books in set topology [duplicate]

I've been working for my research with weak convergence of measures defined over Polish spaces and I've came to learn how working with dense subsets and metrizable spaces can help the cause in a great ...
1
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0answers
38 views

Introductory books on Complex Geometry for Theoretical Physics audience

I am looking for some good introductory books on Complex Geometry for Theoretical Physics audience. My background is General Relativity and Riemannian geometry. I am looking for a book with proper ...
1
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0answers
12 views

Looking for collection of exercises on Greene's theorem, Stokes theorem and the Divergence theorem

As the title states, I am looking for resources containging excersises on Greene's theorem, Stoke's theorem and the Divergence theorem. Ideally the excersises would be of computational nature (i.e. ...
0
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0answers
90 views

Courant's “Introduction to Calculus and Analysis” vs “Differential and Integral Calculus”

I'm considering buying Courant's books, but I have seen two series of textbooks written by him on calculus and analysis. What are the differences between these two? If I want to have a deeper and ...
0
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0answers
26 views

Modeling problems using graphs

I was wondering how can I learn how to model problems using some classical models in graph theory (graph coloring, vertex cover, matching, maximum cliques, independent sets and so on) For example, I ...
1
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0answers
14 views

Errata in Convex Analysis and Minimization Algorithms by Hiriart-Urruty and Lemaréchal.

Hiriart-Urruty and Lemaréchal have written Convex Analysis and Minimization Algorithms I and II. Is there an errata list for these books?
0
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2answers
62 views

Books of algebraic number theory [duplicate]

I am learning algebraic number theory, the exercises are so hard for me, could you please recommend me a book with answers? Many thanks!
0
votes
1answer
41 views

Introduction to Stochastic Integration book

I know this question has been asked several times (see: here, here, here, here, and here), but what are the "best" books on stochastic calculus: has anyone had experience with enough books on this ...
1
vote
1answer
65 views

Book recommendation, getting back into mathematics

First some background, I am originally a computer scientist, got a bachelor at university, started working. I had always had a passion for mathematics and I was relatively good at it throughout my ...
19
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5answers
1k views

What are the best books to study Neural Networks from a purely mathematical perspective?

I am looking for a book that goes through the mathematical aspects of neural networks, from simple forward passage of multilayer perceptron in matrix form or differentiation of activation functions, ...
0
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0answers
34 views

Books for ordinary differential equations.

In every book of the ordinary differential equations that i have it is given existence and uniqueness theory of ordinary differential equations locally i.e. existence of solution in some neighbourhood ...
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0answers
57 views

Siegfried Bosch's Algebraic Geometry and Commutative Algebra A Good Introduction? [closed]

Since this post was flagged, I have edited the post so that it is less opinion based to fit the guidelines. So I have had quite a good amount of interest in Algebraic Geometry as of late and would ...
0
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0answers
37 views

Inequalities involving the greatest common divisor

Question What are some inequalities involving the greatest common divisor (GCD) function? Typical Answer $$\gcd(a,bc) \leq \gcd(a,b)\gcd(a,c)$$ My Attempt I tried checking the Wikipedia page, ...
5
votes
1answer
88 views

Reference request: introductory level book for Riemann surfaces

I have been told by different people that probably no subject can unify algebra, analysis and geometry better than Riemann surfaces. Regardless of how true it is, I'm looking for a textbook that ...
0
votes
2answers
75 views

Books Recommendations in mathematics and statistics [closed]

Most mathematics (specially in statistics) books just mention the formula, and they don't mention the derivation of the formulas. Is there any book which has the derivation of the formulas?
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2answers
121 views

Question about number theory book [closed]

My number theory lecturer recommended a number theory textbook for our final year number theory module written by Hardy and Wright... what are your opinions on this book? I would like to know before ...
3
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0answers
115 views

Next book in learning Algebraic Number Theory

I have just finished the book Introductory Algebraic Number Theory by Kenneth S. Williams and Saban Alaca. My aim is to reach to graduate level to do research, especially in one or more of the ...
4
votes
0answers
206 views

Which books to use for self-studying calculus and linear algebra? [closed]

After years of divorce with mathematics I decided to come back to it. I studied computer science, so had quite a lot of maths in university, but though passing the exams, I didn't feel I fully grasped ...
2
votes
2answers
102 views

Where to go after Dummit and Foote?

I am taking general abstract algebra soon and am covering most of Dummit and Foote’s book up to Galois Theory. If one wanted to continue their study of abstract algebra after this, would they read ...
4
votes
3answers
76 views

Reference request: representation focused view of quantum mechanics

I'm interested in learning a bit more about quantum mechanics from a more Lie algebra/representation theoretic perspective, hopefully including but not going past quantum field theory. I was ...
0
votes
0answers
42 views

Textbook to learn one-way and two-way ANOVA

I'm looking for a good (detailed, mathematical) textbook to learn one-way and two-way ANOVA. I'm new to statistics and I was learning linear regression from D. C. Montgomery, E. A. Peck, G. G. Vining,...
0
votes
0answers
64 views

Suggest solutions book Econometrics by Bruce E. Hansen

Does somebody know solutions manual for book "ECONOMETRICS " by Bruce E. Hansen from Winsconsin Economics Department?
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0answers
33 views

Linear Algebra - Geometrically

I'm looking for a book that tackles Linear Algebra but in a really Geometric way - I'm currently using Strang's book, and I like it so far, but I was wondering if anyone has any different ...
1
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1answer
36 views

Book on bogus proofs or counterexamples in plane geometry

There are books about counterexamples in analysis, topology or probability. Is there any book that focuses on counterexamples in plane geometry or loopholes in geometrical proofs? I am particularly ...