Tao, Terence 1975
Overview
Works:  64 works in 310 publications in 1 language and 4,976 library holdings 

Genres:  Textbooks Miscellanea 
Roles:  Author, Editor 
Classifications:  QA300, 510 
Publication Timeline
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Most widely held works about
Terence Tao
 Wonder kids : the remarkable lives of nine child prodigies by Charis Cotter( Book )
 Tao, Terence( )
Most widely held works by
Terence Tao
Additive combinatorics by
Terence Tao(
Book
)
30 editions published between 2006 and 2012 in English and held by 513 WorldCat member libraries worldwide
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate level text will allow students and researchers easy entry into this fascinating field. Here, for the first time, the authors bring together in a selfcontained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in
30 editions published between 2006 and 2012 in English and held by 513 WorldCat member libraries worldwide
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate level text will allow students and researchers easy entry into this fascinating field. Here, for the first time, the authors bring together in a selfcontained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in
Solving mathematical problems : a personal perspective by
Terence Tao(
Book
)
29 editions published between 1992 and 2010 in English and Undetermined and held by 508 WorldCat member libraries worldwide
"This text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only basic highschool mathematics, the text is ideal for general readers and students 14 years and above with an interest in pure mathematics."Page 4 of cover
29 editions published between 1992 and 2010 in English and Undetermined and held by 508 WorldCat member libraries worldwide
"This text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only basic highschool mathematics, the text is ideal for general readers and students 14 years and above with an interest in pure mathematics."Page 4 of cover
Nonlinear dispersive equations : local and global analysis by
Terence Tao(
Book
)
14 editions published in 2006 in English and held by 315 WorldCat member libraries worldwide
"Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations. Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the realworld intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems. As the subject is vast, the book does not attempt to give a comprehensive survey of the field, but instead concentrates on a representative sample of results for a selected set of equations, ranging from the fundamental local and global existence theorems to very recent results, particularly focusing on the recent progress in understanding the evolution of energycritical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE."Publisher's website
14 editions published in 2006 in English and held by 315 WorldCat member libraries worldwide
"Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations. Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the realworld intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems. As the subject is vast, the book does not attempt to give a comprehensive survey of the field, but instead concentrates on a representative sample of results for a selected set of equations, ranging from the fundamental local and global existence theorems to very recent results, particularly focusing on the recent progress in understanding the evolution of energycritical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE."Publisher's website
Compactness and contradiction by
Terence Tao(
Book
)
8 editions published in 2013 in English and held by 289 WorldCat member libraries worldwide
There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such "folklore mathematics". But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog. The articles, essays, and notes in this book are derived from the author's mathematical blog in 2010. It contains a
8 editions published in 2013 in English and held by 289 WorldCat member libraries worldwide
There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such "folklore mathematics". But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog. The articles, essays, and notes in this book are derived from the author's mathematical blog in 2010. It contains a
An introduction to measure theory by
Terence Tao(
Book
)
14 editions published between 2011 and 2013 in English and held by 274 WorldCat member libraries worldwide
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problemsolving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book
14 editions published between 2011 and 2013 in English and held by 274 WorldCat member libraries worldwide
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problemsolving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book
Topics in random matrix theory by
Terence Tao(
Book
)
14 editions published in 2012 in English and held by 263 WorldCat member libraries worldwide
14 editions published in 2012 in English and held by 263 WorldCat member libraries worldwide
Structure and randomness : pages from year one of a mathematical blog by
Terence Tao(
Book
)
14 editions published between 2000 and 2009 in English and held by 232 WorldCat member libraries worldwide
"There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such folklore mathematics. But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog." "In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article. While the articles vary widely in subject matter and level, they should be broadly accessible to readers with a general graduate mathematics background; the focus in many articles is on the 'big picture' and on informal discussion, with technical details largely being left to the referenced literature."Jacket
14 editions published between 2000 and 2009 in English and held by 232 WorldCat member libraries worldwide
"There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such folklore mathematics. But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog." "In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article. While the articles vary widely in subject matter and level, they should be broadly accessible to readers with a general graduate mathematics background; the focus in many articles is on the 'big picture' and on informal discussion, with technical details largely being left to the referenced literature."Jacket
Higher order Fourier analysis by
Terence Tao(
Book
)
14 editions published in 2012 in English and held by 220 WorldCat member libraries worldwide
14 editions published in 2012 in English and held by 220 WorldCat member libraries worldwide
An epsilon of room, I : real analysis : pages from year three of a mathematical blog by
Terence Tao(
Book
)
13 editions published in 2010 in English and held by 213 WorldCat member libraries worldwide
13 editions published in 2010 in English and held by 213 WorldCat member libraries worldwide
Analysis by
Terence Tao(
Book
)
21 editions published between 2006 and 2014 in English and held by 205 WorldCat member libraries worldwide
Providing an introduction to real analysis, this text is suitable for honours undergraduates. It starts at the very beginning  the construction of the number systems and set theory, then to the basics of analysis, through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral
21 editions published between 2006 and 2014 in English and held by 205 WorldCat member libraries worldwide
Providing an introduction to real analysis, this text is suitable for honours undergraduates. It starts at the very beginning  the construction of the number systems and set theory, then to the basics of analysis, through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral
Hilbert's fifth problem and related topics by
Terence Tao(
Book
)
9 editions published in 2014 in English and held by 186 WorldCat member libraries worldwide
9 editions published in 2014 in English and held by 186 WorldCat member libraries worldwide
Poincaré's legacies : pages from year two of a mathematical blog by
Terence Tao(
Book
)
9 editions published in 2009 in English and held by 165 WorldCat member libraries worldwide
9 editions published in 2009 in English and held by 165 WorldCat member libraries worldwide
Expansion in finite simple groups of Lie type by
Terence Tao(
Book
)
10 editions published in 2015 in English and held by 163 WorldCat member libraries worldwide
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the BalogSzemerediGowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely selfcontained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the LangWeil bound, as well as numerous exercises and other optional material
10 editions published in 2015 in English and held by 163 WorldCat member libraries worldwide
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the BalogSzemerediGowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely selfcontained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the LangWeil bound, as well as numerous exercises and other optional material
An epsilon of room, II : pages from year three of a mathematical blog by
Terence Tao(
Book
)
11 editions published between 2010 and 2011 in English and held by 127 WorldCat member libraries worldwide
There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such "folklore mathematics". But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog. In 2007 Terry Tao began a mathematical blog to cover a variety of topics, ranging from his own research and other re
11 editions published between 2010 and 2011 in English and held by 127 WorldCat member libraries worldwide
There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such "folklore mathematics". But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog. In 2007 Terry Tao began a mathematical blog to cover a variety of topics, ranging from his own research and other re
Analysis by
Terence Tao(
Book
)
2 editions published in 2009 in English and held by 73 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 73 WorldCat member libraries worldwide
Analysis I by
Terence Tao(
Book
)
7 editions published between 2006 and 2014 in English and held by 56 WorldCat member libraries worldwide
7 editions published between 2006 and 2014 in English and held by 56 WorldCat member libraries worldwide
Analysis by
Terence Tao(
Book
)
8 editions published between 2006 and 2009 in English and held by 51 WorldCat member libraries worldwide
8 editions published between 2006 and 2009 in English and held by 51 WorldCat member libraries worldwide
Analysis by
Terence Tao(
Book
)
2 editions published in 2014 in English and held by 35 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 35 WorldCat member libraries worldwide
Analysis 1 by
Terence Tao(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
Analysis II by
Terence Tao(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
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Additive combinatorics Australia Blogs Characteristic functions Combinatorial analysis Differential equations, Partial Finite simple groups Fourier analysis Functional analysis Gifted children Graph theory Harmonic analysis Hilbert, David, Lie algebras Lie groups Mathematical analysis Mathematicians Mathematics Measure theory Nonlinear wave equations Poincaré conjecture Problem solving Proof theory Random matrices Ricci flow Solving problems United States
Alternative Names
Tao, C. 1975
Tao, C.S. 1975
Tao, Chi 1975
Tao, ChiS. 1975
Tao, ChiShen 1975
Tao, T. 1975
Tao, T. C. 1975
Tao, T. C. S. 1975
Tao, Terence
Tao, Terence C. 1975
Tao, Terence C. S. 1975
Tao, Terence ChiShen 1975
Tao, Terry 1975
Terence Tao
Terence Tao Australian mathematician
Terence Tao australiensk matematiker
Terence Tao Australisch wiskundige
Terence Tao australischer Mathematiker
Terence Tao australsk matematikar
Terence Tao australsk matematiker
Terence Tao matemàtic australià
Terence Tao matematician australian
Terence Tao matemático australiano
Terence Tao mathématicien australien
Terens Tao
Terense Taw
Теренс Тао австралийский и американский математик
Теренсе Тау
טרנס טאו
טרנס טאו מתמטיקאי אוסטרלי
ترنس تائو ریاضیدان استرالیایی
تيرنس تاو
تيرنس تاو رياضياتي أسترالي
تەرەنسە تاۋ
ٹیرنس ٹاؤ
টেরেন্স টাও
เทอเรนซ์ เต๋า
ტერენს ტაო
타오, 테렌스 1975
테렌스 타오
タオ, テレンス
テレンス・タオ
陶持慎 1975
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