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 Undergraduates  


  
Elementary Number Theory
Gareth A. Jones, Josephine M. Jones

Springer, 1998

Excellent intro book on number theory
Ever since my undergraduate days aeons ago, I have always had an aversion to any number theory, but Jones and Jones have changed my mind completely. In the last year, I came across a few articles that made me want to learn more about the topic, but wasn't sure where ...
  
  











  



  
Measure, Integral and Probability
Marek Capinski, Peter E. Kopp

Springer, 2007

Very good introduction to measure theory
Very good intro for first encounters with measure theory. Throughout the application in probability theory is emphasized. The necessity of each concept introduced is motivated with clear examples. Interesting problem sets are provided after each section; their ...
  
  











  



  
Creating Effective Undergraduate Research Programs In Science: The Transformation from Student to Scientist ...
Roman Taraban, Richard L. Blanton

Teachers College Press, 2008

''As someone who only decided to become a scientist because of an accidental encounter with undergraduate research, I can heartily recommend this book to all college science faculty. To help science thrive, we need to provide as many young people as possible with the opportunity to experience our wonderful discipline.'' --Bruce Alberts, University ...
  
  











  



  
The Real ACT Prep Guide (The only guide to include 3 Real ACT tests)
ACT

Thomson - Peterson's, 2005

The best book for ACT preperation
I bought 4 books to prepare for my ACT exam (Princeton Review (Cracking the ACT, 2007 Edition), Kaplan ACT 2007 Comprehensive Program, McGraw-Hill's 10 ACT Practice Tests, and The Real ACT Prep Guide). I found the Real ACT Prep Guide to be the best one as it has three ...
  
  











  



  
Understanding Analysis
Stephen Abbott

Springer, 2002

Too Good To be True
Once in a while, a book comes along that is so wonderfully written, the reader reflexively searches for other books by its author. Understanding Analysis is a prime example of this rare breed (Unfortunately, this is Abbott's only book as far as I know: write more!). ...
  
  











  



  
Mathematics for Finance: An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series)
Marek Capinski, Tomasz Zastawniak

Springer, 2003

Joining the chorus
I can only echo the other reviewers. As far as I can tell this book has no serious competition. This is an excellent introduction to mathematical finance for those with a solid undergraduate level understanding of higher math but without graduate level exposure. I ...
  
  











  



  
Linear Algebra Done Right
Sheldon Axler

Springer, 2004

Simple introduction to abstract concepts
I read this book a few years ago and it's one of the most enlightening books I've read. What makes it unique is it's way of very simply communicating the basic concepts of vector spaces and linear maps between them. It's one of the few books where you usually ...
  
  











  



  
The Scholarship Book, 13th Edition: The Complete Guide to Private-Sector Scholarships, Fellowships, Grants, ...
National Scholarship Research Service, Daniel J. Cassidy

Prentice Hall Press, 2008

The Scholarship Book, 13th Edition
This book is a must have for any student who is looking for extra money but does not want to take out private loans
  
  











  



  
McGraw-Hill's 10 ACT Practice Tests, 2ed (McGraw-Hill's 10 Practice Acts)
Steven Dulan

McGraw-Hill, 2008

A necessary resource to improve ACT score
I used this book along with the Real ACT book, the Sparknotes Guide to the ACT book, and the Dummies ACT prep book. I found that this book was one of the more helpful ones. I was skeptical at first to buy this book, as the ACT content can get distorted when it isn't ...
  
  











  



  
How to Solve Physics Problems (College Course)
Robert Oman, Daniel Oman

McGraw-Hill, 1996

This Is The Book If You Need Help with Physics
Beginning with the "How To Use This Book" and "How To Excel in Your Physics Course", (especially the latter) and throughout its pages, this is, without a doubt in this readers opinion, the very best book on the subject I have found to date (And I have many). It puts ...
  
  











  



  
Teaching Graphic Design: Course Offerings and Class Projects from the Leading Graduate and Undergraduate ...

Allworth Press, 2003

If you are seeking for new inspiration, this is an excellente book
Teaching Graphic Design offers a comprehensive array of topics and teaching tips for all levels. It includes an overview, course requirements, suggestion for projects and selected readings, enabling teachers to choose inspiring topics and materials to structure your ...
  
  











  



  
Naive Lie Theory (Undergraduate Texts in Mathematics)
John Stillwell

Springer, 2008

In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, ...
  
  











  



  
An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
Jeffrey Hoffstein, Jill Pipher, ...

Springer, 2008

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is ...
  
  











  



  
Real Mathematical Analysis
Charles Chapman Pugh

Springer, 2003

What a breath of fresh air!
Every once in a while, a mathematics book comes along that gets it right. While most math departments are filled with irrelevant, arcane texts; every once in a while a text will appear that is genuinely fun to read. Casella/Berger's fantastic statistics text is one ...
  
  











  



  
Finite-Dimensional Vector Spaces
P.R. Halmos

Springer, 1993

A Classic for the mathematically-inclined. Good preparation for learning quantum mechanics.
This was one of the two textbooks (along with Rudin's Principles of Mathematical Analysis) that was used for the hot-shot freshman Math 218x course taught by Elias Stein at Princeton some years ago. It is a great book, one of my all-time favorites. It requires a ...
  
  











  



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