Andreescu, Titu 1956
Overview
Works:  55 works in 352 publications in 3 languages and 9,762 library holdings 

Roles:  Author, Editor 
Classifications:  QA43, 510 
Publication Timeline
.
Most widely held works by
Titu Andreescu
Mathematical miniatures
by
Svetoslav Savchev(
)
10 editions published between 2003 and 2011 in English and held by 1,265 WorldCat member libraries worldwide
10 editions published between 2003 and 2011 in English and held by 1,265 WorldCat member libraries worldwide
Mathematical Olympiad challenges
by
Titu Andreescu(
Book
)
39 editions published between 2000 and 2009 in English and held by 1,035 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
39 editions published between 2000 and 2009 in English and held by 1,035 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
Complex numbers from A toZ
by
Titu Andreescu(
)
33 editions published between 2004 and 2014 in English and German and held by 837 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."Page 4 of cover
33 editions published between 2004 and 2014 in English and German and held by 837 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."Page 4 of cover
Mathematical olympiad treasures
by
Titu Andreescu(
)
27 editions published between 2002 and 2012 in English and held by 637 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
27 editions published between 2002 and 2012 in English and held by 637 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
104 number theory problems from the training of the USA IMO team
by
Titu Andreescu(
)
23 editions published between 2006 and 2010 in English and Japanese and held by 560 WorldCat member libraries worldwide
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problemsolving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory. Key features: @* Contains problems developed for various mathematical contests, including the International Mathematical Olympiad (IMO) @* Builds a bridge between ordinary high school examples and exercises in number theory and more sophisticated, intricate and abstract concepts and problems @* Begins by familiarizing students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions @* Combines unconventional and essaytype examples, exercises and problems, many presented in an original fashion @* Engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom 104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas
23 editions published between 2006 and 2010 in English and Japanese and held by 560 WorldCat member libraries worldwide
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problemsolving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory. Key features: @* Contains problems developed for various mathematical contests, including the International Mathematical Olympiad (IMO) @* Builds a bridge between ordinary high school examples and exercises in number theory and more sophisticated, intricate and abstract concepts and problems @* Begins by familiarizing students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions @* Combines unconventional and essaytype examples, exercises and problems, many presented in an original fashion @* Engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom 104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas
103 trigonometry problems from the training of the USA IMO team
by
Titu Andreescu(
)
22 editions published between 2005 and 2010 in English and Japanese and held by 552 WorldCat member libraries worldwide
"103 Trigonometry Problems is a cogent problem solving resource for advanced high school students, undergraduate and mathematics teachers engaged in competition training."Jacket
22 editions published between 2005 and 2010 in English and Japanese and held by 552 WorldCat member libraries worldwide
"103 Trigonometry Problems is a cogent problem solving resource for advanced high school students, undergraduate and mathematics teachers engaged in competition training."Jacket
Geometric problems on maxima and minima
by
Titu Andreescu(
)
20 editions published between 2005 and 2006 in English and held by 536 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
20 editions published between 2005 and 2006 in English and held by 536 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
Putnam and beyond
by
Rǎzvan Gelca(
)
15 editions published between 2006 and 2007 in English and Undetermined and held by 520 WorldCat member libraries worldwide
Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problemsolving at the high school level to the university and beyond, that is, to mathematical research. Key features of Putnam and Beyond @* Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. @* Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic. @* The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. @* Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible. This work may be used as a study guide for the Putnam exam, as a text for many different problemsolving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for selfstudy by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons
15 editions published between 2006 and 2007 in English and Undetermined and held by 520 WorldCat member libraries worldwide
Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problemsolving at the high school level to the university and beyond, that is, to mathematical research. Key features of Putnam and Beyond @* Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. @* Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic. @* The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. @* Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible. This work may be used as a study guide for the Putnam exam, as a text for many different problemsolving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for selfstudy by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons
Number theory structures, examples, and problems
by
Titu Andreescu(
)
20 editions published in 2009 in English and held by 474 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
20 editions published in 2009 in English and held by 474 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
An introduction to diophantine equations a problembased approach
by
Titu Andreescu(
)
17 editions published in 2010 in English and held by 471 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."From back cover
17 editions published in 2010 in English and held by 471 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."From back cover
Problems in real analysis advanced calculus on the real axis
by
TeodoraLiliana T Rădulescu(
)
18 editions published in 2009 in English and held by 468 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
18 editions published in 2009 in English and held by 468 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
102 combinatorial problems : from the training of the USA IMO team
by
Titu Andreescu(
Book
)
11 editions published between 2002 and 2003 in English and held by 369 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."BOOK JACKET
11 editions published between 2002 and 2003 in English and held by 369 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."BOOK JACKET
Mathematical Olympiads, 19981999 : problems and solutions from around the world
(
Book
)
4 editions published in 2000 in English and held by 297 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 297 WorldCat member libraries worldwide
A path to combinatorics for undergraduates : counting strategies
by
Titu Andreescu(
Book
)
11 editions published between 2003 and 2004 in English and held by 263 WorldCat member libraries worldwide
11 editions published between 2003 and 2004 in English and held by 263 WorldCat member libraries worldwide
Mathematical Olympiads, 19992000 : problems and solutions from around the world
(
Book
)
7 editions published between 2001 and 2002 in English and held by 217 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
7 editions published between 2001 and 2002 in English and held by 217 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
Mathematical olympiads 20002001 : problems and solutions from around the world
(
Book
)
4 editions published between 2002 and 2003 in English and held by 207 WorldCat member libraries worldwide
4 editions published between 2002 and 2003 in English and held by 207 WorldCat member libraries worldwide
USA and International Mathematical Olympiads, 2000
(
Book
)
4 editions published in 2001 in English and held by 197 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 197 WorldCat member libraries worldwide
Essential linear algebra with applications : a problemsolving approach
by
Titu Andreescu(
)
7 editions published between 2004 and 2014 in English and Undetermined and held by 193 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
7 editions published between 2004 and 2014 in English and Undetermined and held by 193 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
USA and International Mathematical Olympiads, 2001
(
Book
)
3 editions published in 2002 in English and held by 149 WorldCat member libraries worldwide
3 editions published in 2002 in English and held by 149 WorldCat member libraries worldwide
USA and International Mathematical Olympiads, 2003
(
Book
)
3 editions published in 2004 in English and held by 148 WorldCat member libraries worldwide
3 editions published in 2004 in English and held by 148 WorldCat member libraries worldwide
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Algebra Algebras, Linear Combinatorial analysis Combinatorial number theory Differential equations Diophantine analysis Diophantine equations Discrete groups Distribution (Probability theory) Geometry Geometry, Algebraic Global analysis (Mathematics) Logic, Symbolic and mathematical Mathematical analysis Mathematical optimization Mathematical recreations Mathematics MathematicsCompetitions Maxima and minima Numbers, Complex Number theory Problem solving Sequences (Mathematics) Topology Trigonometry U.S.A. Mathematical Olympiad William Lowell Putnam Mathematical Competition