Number Theory (a good HandBook)

this is a handbook of Number theory and has these parts:

1-Factorization
2-Congruence
3-Gaussian integers and applications
4-p-adic numbers
5-Distribution of primes

Introduction to graph theory - Douglas Brent West and solution manual

This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science. 

A Concise Introduction to Logic N I N T H E D I T I O N

Unsurpassed for its clarity, conciseness, and comprehensiveness, Hurley's market-leading A CONCISE INTRODUCTION TO LOGIC has established itself as the standard for introductory logic classes. Hailed in the first eight editions for an unwavering commitment to lucid, focused, reader-friendly presentations of logic's basic topics, the latest edition also continues to expand upon Hurley's tradition of technological excellence with the introduction of vMentor and iLrn Logic. These two technologies help you manage the workload of teaching logic by providing your students with a live, online logic tutoring service and you with an online system that automates homework and test grading. In addition, Hurley's outstanding LEARNING LOGIC-an interactive, audio-visual recasting of the entire text-remains a free supplement with each copy of the text. Rounded out with a Book Companion Website that features student quizzing and interactive tutorials on Venn diagrams and truth tables, Hurley's A CONCISE INTRODUCTION TO LOGIC, Ninth Edition is not only the most logically sound choice that a professor could make for his or her logic course, but the most "technologically" sound choice as well.
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Handbook of Differential Geometry vol.2

In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.
Contents:
1. Some problems on Finsler geometry
2. Foliations
3. Symplectic geometry
4. Metric Riemannian geometry
5. Contact geometry
6. Complex differential geometry
7. Compendium on the geometry of Lagrange spaces
8. Certain actual topics on modern Lorentzian geometry

Problem primer for olympiads: C.R. Pranesachar, B J Venkatachala and C S Yogananda

This book is designed to help the students prepare for the INMO RMO The problems have been classified into various sections- Number Theory, Algebra Geometry, Combinatorics and Miscellaneous problems. There is also a section containing important theorems and results from various topics generally not available in school text books, but which are of great help in solving the problems.
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Computational Geometry Methods And Applications

Geometric objects such as points, lines, and polygons are the basis of a broad variety of important applications and give rise to an interesting set of problems and algorithms. The name geometry reminds us of its earliest use: for the measurement of land and materials. Today, computers are being used more and more to solve larger-scale geometric problems. Over the past two decades, a set of tools and techniques has been developed that takes advantage of the structure provided by geometry. This discipline is known as Computational Geometry.
this book it's very good for computer  Olympiad
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Proofs without Words - Exercises in Visual Thinking

Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: Geometry and algebra; Trigonometry, calculus and analytic geometry; Inequalities; Integer sums; and Sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.

The Art of Problem Solving, Volume 1

The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book. Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.


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Mathematical olympiad treasures

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.The problems are clustered by topic into three self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the vast experience of two professors and Mathematical Olympiad coaches, the text will be invaluable to teachers, students, and puzzle enthusiasts. The advanced reader is challenged to find alternative solutions and extensions of the proposed problems.



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Mathematical Olympiad in China Problems and Solutions book

The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in IMO twenty times since 1985 and has won the top ranking for countries thirteen times, with a multitude of golds for individual students. The 6 students China sent every year were selected from 20 to 30 students among approximately 130 students who take part in the China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2003 to 2006