WorldCat Identities

Andreescu, Titu 1956-

Works: 62 works in 411 publications in 4 languages and 10,775 library holdings
Roles: Author, Editor, coo, Other
Classifications: QA43, 510.76
Publication Timeline
Most widely held works by Titu Andreescu
Mathematical Olympiad challenges by Titu Andreescu( Book )

45 editions published between 2000 and 2009 in English and held by 657 WorldCat member libraries worldwide

"Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems for algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems." "Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem-solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops."--Jacket
Mathematical miniatures by Svetoslav Savchev( Book )

15 editions published between 2003 and 2011 in English and held by 393 WorldCat member libraries worldwide

102 combinatorial problems : from the training of the USA IMO team by Titu Andreescu( Book )

12 editions published in 2003 in English and held by 359 WorldCat member libraries worldwide

"The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics."--Jacket
Mathematical Olympiad treasures by Titu Andreescu( Book )

30 editions published between 2002 and 2012 in English and held by 337 WorldCat member libraries worldwide

"Collection of problems in geometry and trigonmometry, 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"--Back cover
Mathematical Olympiads, 1998-1999 : problems and solutions from around the world( Book )

5 editions published in 2000 in English and held by 300 WorldCat member libraries worldwide

Complex numbers from A to--Z by Titu Andreescu( Book )

38 editions published between 2004 and 2014 in English and German and held by 283 WorldCat member libraries worldwide

"The book reflects the unique experience of the authors. It distills a vast mathematical literature, most of which is unknown to the western public, and captures the essence of an abundant problem culture. The target audience includes undergraduates, high school students and their teachers, mathematical contestants (such as those training for Olympiads or the W.L. Putnam Mathematical Competition) and their coaches, as well as anyone interested in essential mathematics."--Jacket
A path to combinatorics for undergraduates : counting strategies by Titu Andreescu( Book )

14 editions published between 2003 and 2004 in English and held by 257 WorldCat member libraries worldwide

This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems--many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of the subject and casts combinatorial concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the reader's mathematical horizons. Topics encompass permutations and combinations, binomial coefficients and their applications, recursion, bijections, inclusions and exclusions, and generating functions. The work is replete with a broad range of useful methods and results, such as Sperner's Theorem, Catalan paths, integer partitions and Young's diagrams, and Lucas' and Kummer's Theorems on divisibility. Strong emphasis is placed on connections between combinatorial and graph-theoretic reasoning and on links between algebra and geometry. The authors' previous text, 102 Combinatorial Problems, makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will stimulate seasoned mathematicians as well. A Path to Combinatorics for Undergraduates is a lively introduction not only to combinatorics, but also to mathematical ingenuity, rigor, and the joy of solving puzzles
104 number theory problems : from the training of the USA IMO team by Titu Andreescu( Book )

21 editions published between 2007 and 2010 in English and Japanese and held by 242 WorldCat member libraries worldwide

Develops problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. This book contains problems that encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach
103 trigonometry problems : from the training of the USA IMO team by Titu Andreescu( Book )

23 editions published between 2005 and 2010 in English and Japanese and held by 224 WorldCat member libraries worldwide

This book contains 103 highly-selected problems used in the training and testing of the USA International Mathematical Olympiad (IMO) team. It is not a collection of very difficult, impenetrable questions. Instead, the book gradually builds students' trigonometric skills and techniques. This work aims to broaden students' view of mathematics and better prepare them for possible participation in various mathematical competitions. It provides in-depth enrichment in important areas of trigonometry by reorganizing and enhancing students'
Mathematical Olympiads, 1999-2000 : problems and solutions from around the world( Book )

8 editions published between 2001 and 2002 in English and held by 221 WorldCat member libraries worldwide

This volume contains a range of problems, with and without solutions, taken from 25 national and regional mathematics olympiads from around the world
Geometric problems on maxima and minima by Titu Andreescu( Book )

23 editions published between 2005 and 2006 in English and held by 215 WorldCat member libraries worldwide

Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a uniquely intuitive approach to the subject: it presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry. Key features and topics: * Comprehensive selection of problems, including Greek geometry and optics, Newtonian mechanics, isoperimetric problems, and open questions, such as Malfatti?s problem * Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning * Presentation and application of classical inequalities, including Cauchy--Schwarz and Minkowski?s Inequality; important results in real variable theory, such as the Intermediate Value Theorem; and emphasis on simple but useful geometric concepts, including transformations, convexity, and symmetry * Clear solutions to the problems, often accompanied by figures * Hundreds of exercises of varying difficulty, from straightforward to Olympiad-caliber Written by a team of established mathematicians and teachers, this work draws on the authors? experience in the classroom and as Olympiad coaches. By exposing readers to a wealth of creative problem-solving approaches, the text communicates not only geometry but also algebra, calculus, and topology. Ideal for use at the junior and senior undergraduate level, as well asin enrichment programs and Olympiad training for advanced high school students, this book?s breadth and depth will appeal to a wide audience, from secondary school teachers and pupils to graduate students, professional mathematicians, and puzzle enthusiasts. TOC:Preface * Methods for Solving Geometric Problems on Maxima and Minima * Selected Types of Geometric Problems on Maxima and Minima * Miscellaneous Problems * Hints and Solutions * Glossary
Mathematical olympiads 2000-2001 : problems and solutions from around the world( Book )

5 editions published between 2002 and 2003 in English and held by 206 WorldCat member libraries worldwide

USA and International Mathematical Olympiads, 2000( Book )

5 editions published in 2001 in English and held by 194 WorldCat member libraries worldwide

Putnam and beyond by Rǎzvan Gelca( Book )

14 editions published between 2006 and 2007 in English and Undetermined and held by 174 WorldCat member libraries worldwide

Chaque année le concours Putnam s'adresse aux étudiants en mathématiques au niveau du baccalauréat. C'est un concours au niveau nord-américain. Il ne demande pas énormément de connaissances mathématiques mais beaucoup d'ingéniosite. Le concours Putnam a lieu en décembre
USA and International Mathematical Olympiads, 2001( Book )

3 editions published in 2002 in English and held by 147 WorldCat member libraries worldwide

An introduction to diophantine equations : a problem-based approach by Titu Andreescu( Book )

18 editions published in 2010 in English and held by 134 WorldCat member libraries worldwide

"This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. [This book] is intended for undergraduates, advanced high school students and teachers, mathematical contest participants - including Olympiad and Putnam competitors - as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques."--Back cover
Number theory : structures, examples, and problems by Titu Andreescu( Book )

12 editions published in 2009 in English and held by 113 WorldCat member libraries worldwide

While the forefront of number theory is replete with sophisticated and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning students. This introductory text focuses on a problem-solving approach to the subject, situating each concept within the framework of an example for readers to solve
Problems in real analysis : advanced calculus on the real axis by Teodora-Liliana T Rădulescu( Book )

22 editions published in 2009 in English and held by 108 WorldCat member libraries worldwide

"Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies Which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis."--Jacket
Essential linear algebra with applications : a problem-solving approach by Titu Andreescu( Book )

15 editions published between 2004 and 2014 in English and Undetermined and held by 48 WorldCat member libraries worldwide

This textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject?s interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality. Key features include:? a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory;? over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance;? an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them. Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course
Quadratic Diophantine equations by Titu Andreescu( Book )

11 editions published between 2007 and 2015 in English and Spanish and held by 37 WorldCat member libraries worldwide

"This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis"--Back cover
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Audience level: 0.43 (from 0.06 for Mathematic ... to 0.57 for A path to ...)

Mathematical Olympiad challenges
Alternative Names
Andreescu, T. 1956-

Andreescu, Titu

Titu Andreescu Romanian-American mathematician

Titu Andreescu wiskundige uit Roemenië

Mathematical miniatures102 combinatorial problems : from the training of the USA IMO teamMathematical Olympiad treasuresMathematical Olympiads, 1998-1999 : problems and solutions from around the worldComplex numbers from A to--ZA path to combinatorics for undergraduates : counting strategies104 number theory problems : from the training of the USA IMO team103 trigonometry problems : from the training of the USA IMO team