Good math books for olympiad!!
Books that make learning math a bit less horrible
Items in this hypelist
Reading
Problem-Solving Methods in Combinatorics An Approach to Olympiad Problems
Pablo Soberón • 2013
Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solved with a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tackle these problems, with clear examples from recent contests. It also includes a large problem section for each topic, including hints and full solutions so that the reader can practice the material covered in the book. The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics.
Classics
Problem Solving Strategies
Arthur Engel • 2008
Product Condition: No Defects.
A Walk Through Combinatorics An Introduction to Enumeration and Graph Theory
Miklos Bona • 2017
This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first three editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.New to this edition are the Quick Check exercises at the end of each section. In all, the new edition contains about 240 new exercises. Extra examples were added to some sections where readers asked for them.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs, enumeration under group action, generating functions of labeled and unlabeled structures and algorithms and complexity.The book encourages students to learn more combinatorics, provides them with a not only useful but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected] previous edition of this textbook has been adopted at various schools including UCLA, MIT, University of Michigan, and Swarthmore College. It was also translated into Korean.
Self-help
Modern Olympiad Number Theory
Aditya Khurmi
Have you ever wondered why that 13-digit number on the back of a book costs $125 in the United States but is completely free in Canada and India? This book, The Global ISBN Handbook, is your 2025 guide to the International Standard Book Number. It explains everything about this global "fingerprint" for books. The ISBN is the most important cornerstone of the publishing industry. It started as a simple warehouse tool in the 1960s. Now, it is a complex digital identifier used in over 200 countries. This handbook deconstructs the entire system. It uses 15 distinct national case studies to do this. You will learn how the old 10-digit system changed to the new 13-digit one. We break down the five parts of the ISBN, from the "Bookland" prefix to the final check digit. The book explores the global governance framework, starting with the International ISBN Agency. Then, it dives deep into how different countries run their systems. You'll see the privatized, high-cost model in the United States. You'll compare it to Canada's free, government-run system. We explore the industry-led models in Brazil and Germany. We look at government-run systems in Mexico and India. We even cover the unique case of China, where the ISBN is not a simple identifier but a state-controlled publication license. The book also examines the systems in the UK , France , Russia , Japan , Australia , South Africa , Nigeria , and Egypt. Many books and websites can tell you how to get an ISBN. This handbook is the only resource that explains why the process is so different everywhere you look. It moves beyond a simple "how-to" and provides a true global analysis. It directly compares the privatized, for-profit models in the US and UK against the free, public-good systems in Canada and South Africa. You won't just learn the price; you will understand the cultural policies, market structures, and legal philosophies that shape that price. This book shows how the ISBN is a "global mirror". It reveals how a simple number can be a commercial product in one nation , a tool of cultural policy in another , and an instrument of state control in a third. This comparative insight is the missing piece for any author, publisher, or researcher trying to navigate the complex international publishing market. Disclaimer: This handbook is an independently produced resource for commentary and analysis. The author has no affiliation with the International ISBN Agency, R.R. Bowker, Library and Archives Canada, the National Press and Publication Administration, or any other national ISBN agency. This work is independently produced under the principle of nominative fair use.
Art
Euclidean Geometry in Mathematical Olympiads
Evan Chen • 2021
<p>This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral.</p><p><br></p><p>The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions.</p><p><br></p><p>This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.</p><p><br></p>
To Read
Topics in Algebra and Analysis Preparing for the Mathematical Olympiad
Radmila Bulajich Manfrino • 2015
