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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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Good book on solitons focusing mainly on analysis of PDE

I have a good background in PDEs and functional analysis and I would like to learn more about solitons. The most popular references that I see pop up are Drazin and Kasman, but the first is a little ...
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1answer
22 views

Real analysis book reference

What are the best books to self study real analysis? I am a physics masters student and am looking forward to study representation theory. I want to study the real analysis I need for studying ...
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1answer
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1answer
55 views

Introductory book on Rubik's cube math

My 18-year-old brother really enjoys solving Rubik's cubes and other 3D puzzles, and enjoys math and physics at school. I'd like to get him a book on the math of the Rubik's cube, but one that makes ...
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42 views

Background of Commutative Algebra for Cohen-Macaulay orders and bibliography

In this semester, I'm doing a project in Algebra, and I would like take some advices and suggestions. To be more precise, I will study the Cohen-Macaulay Orders and modules in relation to the Krull ...
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Self Study Real Analysis from this series of books by Jacob & Evans?

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 ...
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4answers
630 views

should I learn measure theory before learning probability?

I am currently looking to learn about probability and statistics since I am interested in actuarial science. I have some knowledge on real analysis(rudins book except the last 2 chapters) and linear ...
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0answers
34 views

Any textbooks on applications of topology to natural and social sciences?

Here is a Mathematics Stack Exchange post on applications of topology. Now my question is, are there any easy-to-read textbooks that discuss (rather thoroughly) applications of elementary topology to ...
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0answers
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Do any topology textbooks start from the closed set definition?

I am very interested in closed-set topologies, in particular because the induced topology on a manifold can be defined in terms of the smooth-scalar-field structure on that manifold as “a set of ...
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40 views

Book recommendation for this type of series

I'm looking for a book which deals with the following type of series.That is, I want a book which explains how to find the sum of the series, for example, like the following: $$1+\frac{2}{6}+\...
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Feynman-Kac formula: Any good introductory literature?

I have been diving into particle methods/sequential Monte Carlo for stochastic dynamical systems a bit and the Feynman-Kac formula pops up every now and then. Unfortunately, I have still not fully ...
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0answers
12 views

Affirmative action algorithms for continual selection

Affirmative action can be thought of as a constrained optimization problem, of maximising a utility function of the selected applicants subject to vulnerable groups being represented to at least some ...
2
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1answer
95 views

A guide to Algebraic Geometry

I have completed one semester course on Commutative Algebra and Riemann Surfaces, and currently I am trying to read Algebraic Geometry. While reading from different books I feel that I must need a ...
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0answers
64 views

Start understanding analysis [closed]

Currently, I have read and re-read the Stephen Abbott Understanding Analysis for about $3$ or $4$ times up to and including the chapter $6$. However, I can't say that now I am feeling more confident ...
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0answers
27 views

Books like “Jeux de l'esprit et divertissements mathématiques”

I have enjoyed the second edition of the title's book (Nouveaux jeux de l'esprit et divertissements mathématiques) and now I have bought the first edition. To set some context, the book has some "...
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0answers
24 views

Calculus book recommendation

I am in the 11th grade in a country where single variable calculus is required in maths competitions starting from the 11th grade. I am currently looking for a good book that covers the following ...
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1answer
24 views

Induced Semigroup Structures via (left) Translation

Let $(M,\circ)$ be any semigroup satisfying the following properties: P-1: $\text{For every } x,y,z \in M \text{, if } z \circ x = z \circ y \, \text{ then } \, x = y$. If $\zeta \in M$ we define $...
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0answers
47 views

Comprehensive treatment of Functional Analysis

I don't intend to buy many books. Therefore, I am asking for a book containing a comprehensive treatment of functional analysis. Otherwise Kreyszig or Rudin.
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1answer
35 views

Vector Calculus - Marsden vs. Apostol

I am looking for a book for advanced vector calculus. Which one is better? Marsden's Vector Calculus or Apostol's Calculus Vol. II?
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2answers
144 views

Books that state column vectors are linearly dependent if determinant is $0$?

I am looking for some linear algebra books that contain the below proposition: If a matrix over an arbitrary vector space $V$ and base field $\mathbb{F}$ that has determinant $0$ if the columns are ...
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2answers
35 views

book for studying various interpolation

Please recommend me a good book to study interpolation techniques such as polynomial interpolation, cubic, spline interpolations, if possible tell me the branch of mathematics that deals with this ...
2
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1answer
56 views

Quantum Mechanics Book [closed]

I'm a postgraduate student and I'm looking for a Quantum mechanics book which has a great level of detail. Does anyone have any recommendations? Thanks.
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1answer
27 views

Book on probability theory which is comprehensive and covers covariance, conditional probability and probability distributions, all with proofs?

My background is in Computer Science and I'd like to establish a strong foundation in probability theory. I was reading the GraphSLAM paper to get a sense of the algorithms used for SLAM purposes in ...
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3answers
72 views

Are there any good books on College Calculus 1?

Hi guys I'm looking for some good books about college Calculus 1. Do you have any recommendations? Topics in order: 1-Sets 2-Inequalities 3-Function 4-Limits 5-Differentiation 6-Applications ...
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2answers
77 views

First read for rigorous probability theory

I am looking for a book for self-study of rigorous probability theory. I would like a book which is at a completly introductory level, but which is rigorously written. Especially not welcome are books ...
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0answers
49 views

some textbook to study Mathematical proofs [duplicate]

I am looking for a book that teaches proofs and also has some solution manual so that when I do a question I can check if my answer is correct otherwise I would not know if I am doing it right or ...
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0answers
22 views

Regression Analysis book recommendation?

I'm having a hard time understanding the lectures of the Regression Analysis course. Any suggestions about good Analysis textbook ? Preferably to be a easy to follow book, with detailed explanations ...
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0answers
60 views

The book 'Linear Analysis' for studying Functional Analysis

I want to study functional analysis for its own sake (Hilbert space, Riesz-Fisher, Hahn-Banach, Uniform Boundedness, Dual spaces, Operators, Spectral Theorem) and I am attracted to the book Linear ...
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1answer
30 views

I Need proper book or paper on Lie algebras and PDEs

I have keen desire to study applications of Lie algebras in PDE. I was googling for some introduction or review papers / books regarding applications of non-associative algebras (Lie algebras) in PDE, ...
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1answer
44 views

Books or articles on derivative-free optimization [closed]

What are good books/articles you would recommend on/for the topic? I am supposed to write a seminar paper about the topic, and I would appreciate any books or articles that would introduce me to the ...
3
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0answers
33 views

An introduction book for analysis with the axioms of Tarski

Briefly: Is there an introduction book for analysis with The axioms of Tarski as basis? (I found them very elegant. And the most important thing for me is that the axioms are "obvious", not like the ...
0
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1answer
43 views

Searching for a reference book in logic [closed]

I am attending a mathematical logic course and I need one or more books to be my references. The professor did not suggest any book in particulare and this is why I am writing here. The topics of the ...
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0answers
36 views

Help on real analysis book

I am an engineering student at the polytechnic university of turin.My first mathematics course is basically real analysis and calculus together and the book is called analysis 1 by claudio cannuto. ...
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0answers
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Geometry Unbound with figures?

In the e-book of Geometry Unbound by Kiran S. Kedlaya there are no figures, which is rather counterproductive as it's a book on geometry mainly focussing on circles. I was hoping someone had a copy ...
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1answer
82 views

Good books on Function fields for self-study

The first 7 chapters of the book Making Transcendence Transparent by Burger & Tubbs is very easy to read with not much prerequisite. But there is a sudden change of level of difficulty in the 8th (...
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1answer
27 views

Book recommendation for matrix pseudoinverses?

Can any of you recommend a solid book on generalised matrix inverses, specifically the Moore-Penrose inverse? I have a good background in linear algebra, but little in numerical methods and i was ...
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0answers
30 views

What book gives a good presentation on universal/existential generalization/instantiation?

What book gives a good presentation of Universal/Existential Generalization/instantiation? I understand EI, EG and UI; however, I'm struggling with UG, I would like a book that gives a good ...
2
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0answers
66 views

Book Recommendation in Homological Algebra.

I am attending a lesson in Homological Algebra this semester, in the following special topics. I know that there are similar posts, but in this post I specifically ask to recommend me a combination of ...
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1answer
61 views

What is the difference between these two books on topology by James R. Munkres?

I've observed that Prof. James R. Munkres has authored the following two books on (basic) topology: TOPOLOGY, 2nd edition 2000 TOPOLOGY: A FIRST COURSE, 1975 Although most courses about which info ...
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1answer
59 views

Probability book with solutions that covers multivariate normals and different convergence concepts

I want to self study some probability, especially different properties of multivariate normal distributions. Also I am interested in studying different convergence concepts. I would be very thankful ...
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0answers
44 views

book like Allan Gut's intermediate probability course, but with solutions

I want to self study some probability and I am looking for a book like Allan Gut's intermediate probability course, but with solutions. Especially I am interested in books that cover multivariate ...
2
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2answers
44 views

Books on integrals, differential equations, limits or series/sequences [solved problems]?

I recently passed a course in calculus and i'm afraid i'm starting to forget things. While I do have the theory, I lack examples to practice in order to avoid losing my "momentum". So, if you know ...
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0answers
24 views

Any opinions on Schoof's “Catalan's Conjecture”?

Title basically says it all: I'm wondering if anyone has used this book and what their opinion was. Specifically I'd like to make sure the book is approachable but also complete. Background on me to ...
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0answers
34 views

Book on electromagnetic with Tensors

I've been reading the book "Introduction to Tensor Anlaysis and the Calculus of a Moving Surfaces" by Grinfeld. He makes tantalizing claims in videos about this book, stating that tensors simplify ...
2
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1answer
55 views

What complex analysis must I know to understand D.J. Newman's proof of the Prime Number Theorem?

The title sums it up, but let me flesh out my question. First off, I am referring to a simplification of Newman's proof given by Zagier (link), and expanded for clarity here. Now, I am fairly ...
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3answers
218 views

The fundamental idea behind Linear Algebra

I'm studying engineering and for the most part, I feel like I understand the main concepts behind Linear Algebra. However, I feel like my understanding is superficial. I feel like Linear Algebra is a ...
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1answer
31 views

Whats a good book on data analysis for someone with solid understanding of statistics?

In about four months I will start helping out in a bee research center. For this job, anyone with a background in science or lab-work can apply and its mainly to help doing the tedious little things ...
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0answers
39 views

Book about solutions to heat equation in multiple variables?

(I couldn't find anything against book recomendations in the help center. If there's a rule against it please tell me so I delete my question) I'm seeking for a book about solutions for the heat ...
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0answers
29 views

Recommended book on “Dynamic Model Learning” related to “System Identification”?

I need to take a course on so-called "Dynamic Model Learning" related to "System Identification" + "Machine Learning stuff". But my backrgound is more on Computer Science and Electrical Engineering ...
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1answer
55 views

“Schaums Outline of General Topology” by S. Lipschutz. Is it good choice for self study General Topology?

I am looking for a book to self study general topology. I found "Schaums Outline of General Topology" by S. Lipschutz. Is it good choice ? Many people recommend other books (for example Munkres "...