Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions (Classics in Mathematics)3 reviews
George Polya, Gabor Szegö

Springer, 2004

A Beautiful Classic

+ WELL KNOWN BOOK, NO NEED OF INTRODUCTION BUT
+ Excellent. A good way to start researches

This book by Polya and Szego contains many wonderful gems of mathematics. The exercises are very interesting, and sometimes I pick the book up just for fun. I wish I had been able to purchase a hardcover copy. Unfortunately, it's only available in paperback. This book is suitable for mathematics ...
  
  











  



  
Elementary Number Theory9 reviews
Gareth A. Jones, Josephine M. Jones

Springer, 1998

Excellent intro book on number theory

+ Satisfied Customer
+ I Hate Number Theory
+ If you are a beginner, this is the book
+ Great buy for aspiring cryptographers
  
  











  



  
Calculus71 reviews
Michael Spivak

Publish or Perish, 1994

Classic Calculus Text

+ Lighthearted, delightful introduction
+ An excellent Analysis text
+ Not for mindless symbol pushers
+ This is Not A Calculus Book
  
  











  



  
Complex Numbers and Geometry (Spectrum)1 review
Liang-shin Hahn

The Mathematical Association of America, 1996

New ways to do old things

Proofs in "pure" geometry are easy to understand but difficult to conceive. When presented with the opportunity to do such proofs, many people suffer from a brain cramp similar to that experienced by writers. One of the most common phrases heard when I was teaching is similar to the following, "I ...
  
  











  



  
Concrete Mathematics: A Foundation for Computer Science (2nd Edition)28 reviews
Ronald L. Graham, Donald E. Knuth, ...

Addison-Wesley Professional, 1994

I wish every book were written like this!

+ A difficult but worthwhile mathematics text
+ Great book... some reviewers simply don't get it.
+ Concrete Math is fun
  
  











  



  
Introduction to Graph Theory (2nd Edition)14 reviews
Douglas B. West

Prentice Hall, 2000

Pretty good

+ Not bad
+ Graph lovers' book

Level of the book: 3rd-4th year undergrad or 1st-2nd year grad (pretty big range). Don't let other reviews fool you. This book does an excellent job covering the material at hand, especially given the task West set out to achieve. The book basically stands alone thanks to thorough appendices and ...
  
  











  



  
Linear Functional Analysis (Springer Undergraduate Mathematics Series)2 reviews
Bryan Rynne, M.A. Youngson

Springer, 2006

Great Introductory Supplement

I highly recommend this book for independent study or as a supplement to a text. You can see if you're on the right track with exercises because the text has solutions and hints in the back. People must keep in mind that this book focuses on linear functional analysis and not functional analysis in ...
  
  











  



  
Introduction to analysis (Contemporary undergraduate mathematics series)7 reviews
Edward Gaughan

Brooks/Cole Pub. Co, 1975

Excellent

+ Excellent Introduction
+ Great book by Great Guru

At first glance, the book appears too thin. But once you've delved a few pages into it, you immediately recognize that the author has simply mastered the art of brevity - while remainining eminently readable. The book covers all the material needed for an undergraduate analysis course - and ...
  
  











  



  
Linear Algebra13 reviews
Georgi E. Shilov

Dover Publications, 1977

Outstanding Book

+ a great classic treatment of a fundamental subject
+ Not the best, but, then again, nothing is.
+ Great book
  
  











  



  
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus26 reviews
Michael Spivak

Westview Press, 1971

One reviewer said :"by carefully developing only what is essential." which is best thing to say about this book

+ Intersting indeed. Indeed.
+ Good, but not great.
+ A Must Read Book
  
  











  



  
Elementary Functional Analysis4 reviews
Georgi E. Shilov

Dover Publications, 1996

another great book from Shilov

+ A beginning course in functional analysis
+ Excellent book
+ The book is very good but it is not self contained
  
  











  



  
Principles and Techniques in Combinatorics2 reviews
Chen Chuan-Chong, Koh Khee-Meng

World Scientific Publishing Company, 1992

Rigorous and Lucid

+ excellent for competition training

I wish I had this book on hand during my course in combinatorics. It is a must-have introduction for math undergrads and the general public alike. (Never let the price of a mathematics book fool you. Like a classical music CD, the value of the a math book is entirely determined by its content.) It ...
  
  











  



  
Classic Algebra
P. M. Cohn

Wiley, 2000

Fundamental to all areas of mathematics, algebra provides the cornerstone for the student's development. The concepts are often intuitive, but some can take years of study to fully absorb. For over twenty years, the author's classic three-volume set, Algebra, has been regarded by many as the most outstanding introductory work available. This work, Classic Algebra, combines a fully updated Volume ...
  
  











  



  
A Concise Introduction to the Theory of Numbers2 reviews
Alan Baker

Cambridge University Press, 1985

apt title

+ Fields Medalist

This book packs in as many concepts as number theory books five times its length (divisibility, arithmetical functions, congruences, quadratic residues and forms and fields, and diophantine equations and approximations) and is still (surprisingly) very clear. There are even exercises to keep you ...
  
  











  



  
Equations and Inequalities2 reviews
Jiri Herman, Radan Kucera, ...

Springer, 2000

Unusual math here

+ Great First course in Problem Solving

This book contains just 4 chapters: (1) Algebraic Identities and Equations (2) Algebraic Inequalities (3) Number Theory (4) Hints and Answers The material is not readily available in any book I have seen. The 1st chapter covers finite sums, polynomials, and irrational equations. The 2nd ...
  
  











  



  
Recreations in the Theory of Numbers8 reviews
Albert H. Beiler

Dover Publications, 1964

Lots of examples, lots of tables, lots of fun

+ Full of info
+ Recreational Mathematics Is Not A Contradiction In Terms
+ A classic
  
  











  



  
Elementary Real and Complex Analysis (Dover Books on Mathematics)8 reviews
Georgi E. Shilov

Dover Publications, 1996

Getting started in math analysis

+ It is one very interesting book
+ An excellent pure maths text.
+ A wonderful text -- Highly recommended!
  
  











  



  
Differential and Integral Calculus (2 Volume Set)9 reviews
Richard Courant

Wiley-Interscience, 1992

Classical book

+ Worth a look
+ great calculus book
+ Classical German calculus
+ Best Calculus book
  
  











  



  
Introductory Functional Analysis with Applications14 reviews
Erwin Kreyszig

Wiley, 1989

Makes you actually WANT to study analysis!

+ A great book for mathematicians and the best I know for engineers, economists and physicists
+ A Classic
+ Excellent introductory book on functional analysis
+ Good
  
  











  



  
Inequalities (Cambridge Mathematical Library)4 reviews
G. H. Hardy, J. E. Littlewood, ...

Cambridge University Press, 1988

This is one of the most important books of the century.

+ Central to math education - maybe not central to yours
+ yes, do buy
+ What ?? Only one review (so far) for this classic?