Andreescu, Titu 1956
Overview
Works:  60 works in 376 publications in 2 languages and 10,542 library holdings 

Roles:  Author, Editor, Other 
Classifications:  QA43, 510.76 
Publication Timeline
.
Most widely held works by
Titu Andreescu
Mathematical Olympiad challenges by
Titu Andreescu(
Book
)
41 editions published between 2000 and 2009 in English and held by 649 WorldCat member libraries worldwide
"Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and wellknown 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 problemsolving courses, for selfstudy, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops."Jacket
41 editions published between 2000 and 2009 in English and held by 649 WorldCat member libraries worldwide
"Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and wellknown 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 problemsolving courses, for selfstudy, 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
)
11 editions published between 2003 and 2011 in English and held by 391 WorldCat member libraries worldwide
11 editions published between 2003 and 2011 in English and held by 391 WorldCat member libraries worldwide
102 combinatorial problems : from the training of the USA IMO team by
Titu Andreescu(
Book
)
11 editions published in 2003 in English and held by 356 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
11 editions published in 2003 in English and held by 356 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
)
28 editions published between 2002 and 2012 in English and held by 334 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 realworld problems, with new sections, revisions, and many more Olympiadlike problems at various levels of difficulty. The problems are clustered by topic into three selfcontained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, stepbystep solutions, which then lead to more complicated, challenging problems and their solutions"Back cover
28 editions published between 2002 and 2012 in English and held by 334 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 realworld problems, with new sections, revisions, and many more Olympiadlike problems at various levels of difficulty. The problems are clustered by topic into three selfcontained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, stepbystep solutions, which then lead to more complicated, challenging problems and their solutions"Back cover
Mathematical Olympiads, 19981999 : problems and solutions from around the world(
Book
)
5 editions published in 2000 in English and held by 299 WorldCat member libraries worldwide
5 editions published in 2000 in English and held by 299 WorldCat member libraries worldwide
Complex numbers from A toZ by
Titu Andreescu(
Book
)
31 editions published between 2004 and 2014 in English and German and held by 276 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
31 editions published between 2004 and 2014 in English and German and held by 276 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
)
13 editions published between 2003 and 2004 in English and held by 251 WorldCat member libraries worldwide
This unique approach to combinatorics is centered around challenging examples, fullyworked solutions, and hundreds of problemsmany 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 problemsolving 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 graphtheoretic 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
13 editions published between 2003 and 2004 in English and held by 251 WorldCat member libraries worldwide
This unique approach to combinatorics is centered around challenging examples, fullyworked solutions, and hundreds of problemsmany 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 problemsolving 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 graphtheoretic 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
)
19 editions published in 2007 in English and held by 235 WorldCat member libraries worldwide
Develops problemsolving 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
19 editions published in 2007 in English and held by 235 WorldCat member libraries worldwide
Develops problemsolving 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
Mathematical Olympiads, 19992000 : 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
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
103 trigonometry problems : from the training of the USA IMO team by
Titu Andreescu(
Book
)
20 editions published between 2005 and 2010 in English and held by 215 WorldCat member libraries worldwide
This book contains 103 highlyselected 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 indepth enrichment in important areas of trigonometry by reorganizing and enhancing students'
20 editions published between 2005 and 2010 in English and held by 215 WorldCat member libraries worldwide
This book contains 103 highlyselected 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 indepth enrichment in important areas of trigonometry by reorganizing and enhancing students'
Mathematical olympiads 20002001 : problems and solutions from around the world(
Book
)
5 editions published between 2002 and 2003 in English and held by 208 WorldCat member libraries worldwide
5 editions published between 2002 and 2003 in English and held by 208 WorldCat member libraries worldwide
Geometric problems on maxima and minima by
Titu Andreescu(
Book
)
21 editions published between 2005 and 2006 in English and held by 208 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 CauchySchwarz 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 Olympiadcaliber 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 problemsolving 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
21 editions published between 2005 and 2006 in English and held by 208 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 CauchySchwarz 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 Olympiadcaliber 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 problemsolving 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
USA and International Mathematical Olympiads, 2000(
Book
)
5 editions published in 2001 in English and held by 195 WorldCat member libraries worldwide
5 editions published in 2001 in English and held by 195 WorldCat member libraries worldwide
Putnam and beyond by
Rǎzvan Gelca(
Book
)
17 editions published between 2006 and 2007 in English and Undetermined and held by 180 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 nordaméricain. Il ne demande pas énormément de connaissances mathématiques mais beaucoup d'ingéniosite. Le concours Putnam a lieu en décembre
17 editions published between 2006 and 2007 in English and Undetermined and held by 180 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 nordaméricain. Il ne demande pas énormément de connaissances mathématiques mais beaucoup d'ingéniosite. Le concours Putnam a lieu en décembre
Number theory : structures, examples, and problems by
Titu Andreescu(
Book
)
17 editions published in 2009 in English and held by 154 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 problemsolving approach to the subject, situating each concept within the framework of an example for readers to solve
17 editions published in 2009 in English and held by 154 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 problemsolving approach to the subject, situating each concept within the framework of an example for readers to solve
USA and International Mathematical Olympiads, 2003(
Book
)
3 editions published in 2004 in English and held by 149 WorldCat member libraries worldwide
3 editions published in 2004 in English and held by 149 WorldCat member libraries worldwide
An introduction to diophantine equations : a problembased approach by
Titu Andreescu(
Book
)
14 editions published in 2010 in English and held by 127 WorldCat member libraries worldwide
"This problemsolving 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 nonroutine examples, ideas, and techniques."Back cover
14 editions published in 2010 in English and held by 127 WorldCat member libraries worldwide
"This problemsolving 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 nonroutine examples, ideas, and techniques."Back cover
Problems in real analysis : advanced calculus on the real axis by
TeodoraLiliana T Rădulescu(
Book
)
19 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, nonstandard techniques for solving problems. This selfcontained 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 selfstudy. 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
19 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, nonstandard techniques for solving problems. This selfcontained 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 selfstudy. 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 problemsolving approach by
Titu Andreescu(
Book
)
13 editions published between 2004 and 2014 in English and Undetermined and held by 45 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 problembased 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 wellchosen 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 sophomorelevel course.Résumé de l'éditeur
13 editions published between 2004 and 2014 in English and Undetermined and held by 45 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 problembased 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 wellchosen 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 sophomorelevel course.Résumé de l'éditeur
Quadratic Diophantine equations by
Titu Andreescu(
Book
)
9 editions published between 2007 and 2015 in English and held by 22 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 Pelltype 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
9 editions published between 2007 and 2015 in English and held by 22 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 Pelltype 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
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Kids  General  Special 
Related Identities
 Feng, Zuming Other Editor
 Andrica, D. (Dorin) Author Editor
 Mathematical Association of America
 Gelca, Rǎzvan 1967 Author
 Savchev, Svetoslav Author
 Enescu, Bogdan
 Mushkarov, Oleg
 Stoyanov, Luchezar N. 1954
 Rădulescu, TeodoraLiliana T. Author
 Rădulescu, Vicenţiu D. 1958
Useful Links
Associated Subjects
Algebra Algebras, Linear Combinatorial analysis Combinatorial number theory Computer science Differential equations Diophantine equations Discrete groups Distribution (Probability theory) Engineering mathematics Equations, Quadratic Geometry Geometry, Algebraic Global analysis (Mathematics) Logic, Symbolic and mathematical Mathematical analysis Mathematical optimization Mathematical recreations Mathematics MathematicsCompetitions Matrices Maxima and minima Numbers, Complex Number theory Problem solving Sequences (Mathematics) Topology Trigonometry U.S.A. Mathematical Olympiad William Lowell Putnam Mathematical Competition