WorldCat Identities

Tao, Terence 1975-

Overview
Works: 48 works in 351 publications in 3 languages and 5,130 library holdings
Genres: Textbooks  Blogs  Miscellanea 
Roles: Author, Editor, Other
Publication Timeline
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Most widely held works about Terence Tao
 
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 590 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 self-contained 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 )

31 editions published between 1992 and 2011 in 3 languages and held by 546 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 high-school mathematics, the text is ideal for general readers and students 14 years and above with an interest in pure mathematics."--Page 4 of cover
Analysis by Terence Tao( Book )

36 editions published between 2006 and 2016 in English and held by 423 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
Nonlinear dispersive equations : local and global analysis by Terence Tao( Book )

13 editions published in 2006 in English and held by 334 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 real-world 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 energy-critical 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 326 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 )

18 editions published between 2011 and 2017 in English and Japanese and held by 320 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 (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. 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
Analysis I by Terence Tao( )

30 editions published between 2006 and 2016 in English and Undetermined and held by 317 WorldCat member libraries worldwide

This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Topics in random matrix theory by Terence Tao( Book )

16 editions published in 2012 in English and held by 307 WorldCat member libraries worldwide

Higher order Fourier analysis by Terence Tao( Book )

16 editions published between 2012 and 2017 in English and held by 269 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 263 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 non-rigorous 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
An epsilon of room, I : real analysis : pages from year three of a mathematical blog by Terence Tao( Book )

17 editions published between 2010 and 2017 in English and held by 256 WorldCat member libraries worldwide

Hilbert's fifth problem and related topics by Terence Tao( Book )

11 editions published between 1900 and 2014 in English and held by 232 WorldCat member libraries worldwide

"In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of Gleason, Montgomery-Zippin, Yamabe, and others, this question was solved affirmatively; more generally, a satisfactory description of the (mesoscopic) structure of locally compact groups was established. Subsequently, this structure theory was used to prove Gromov's theorem on groups of polynomial growth, and more recently in the work of Hrushovski, Breuillard, Green, and the author on the structure of approximate groups. In this graduate text, all of this material is presented in a unified manner, starting with the analytic structural theory of real Lie groups and Lie algebras (emphasising the role of one-parameter groups and the Baker-Campbell-Hausdorff formula), then presenting a proof of the Gleason-Yamabe structure theorem for locally compact groups (emphasising the role of Gleason metrics), from which the solution to Hilbert's fifth problem follows as a corollary. After reviewing some model-theoretic preliminaries (most notably the theory of ultraproducts), the combinatorial applications of the Gleason-Yamabe theorem to approximate groups and groups of polynomial growth are then given. A large number of relevant exercises and other supplementary material are also provided."--
Poincaré's legacies : pages from year two of a mathematical blog by Terence Tao( Book )

20 editions published between 2009 and 2017 in English and held by 219 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 non-rigorous 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
Expansion in finite simple groups of Lie type by Terence Tao( Book )

14 editions published in 2015 in English and Undetermined and held by 218 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 Balog-Szemerédi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil 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 )

13 editions published between 2010 and 2017 in English and held by 160 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 )

9 editions published between 2009 and 2016 in English and held by 121 WorldCat member libraries worldwide

2016 MATRIX Annals( )

3 editions published in 2018 in English and held by 106 WorldCat member libraries worldwide

MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: Higher Structures in Geometry and Physics (Chapters 1-5 and 18-21); Winter of Disconnectedness (Chapter 6 and 22-26); Approximation and Optimisation (Chapters 7-8); Refining C*-Algebraic Invariants for Dynamics using KK-theory (Chapters 9-13); Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology (Chapters 14-17 and 27). The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX
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 42 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 non-rigorous 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
2016 MATRIX Annals( )

1 edition published in 2018 in English and held by 18 WorldCat member libraries worldwide

Analysisn1 by Terence Tao( )

1 edition published in 2016 in English and held by 8 WorldCat member libraries worldwide

 
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Audience level: 0.63 (from 0.21 for Wonder kid ... to 0.89 for 2016 MATRI ...)

Additive combinatorics
Covers
Solving mathematical problems : a personal perspectiveNonlinear dispersive equations : local and global analysisAn introduction to measure theoryAnalysis IStructure and randomness : pages from year one of a mathematical blogAn epsilon of room, I : real analysis : pages from year three of a mathematical blogPoincaré's legacies : pages from year two of a mathematical blogAn epsilon of room, II : pages from year three of a mathematical blog
Alternative Names
Tao, C. 1975-

Tao, C.-S. 1975-

Tao, Chi 1975-

Tao, Chi-S. 1975-

Tao, Chi-Shen 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 Chi-Shen 1975-

Tao, Terry 1975-

Terence Tao

Terence Tao Austraalia matemaatik

Terence Tao aŭstralia matematikisto

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 australský matematik a pedagog

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

টেরেন্স টাও অস্ট্রেলীয় গণিতবিদ

เทอเรนซ์ เต๋า

ტერენს ტაო

타오, 테렌스 1975-

테렌스 타오

タオ, テレンス

テレンス・タオ

テレンス・タオ 数学者

陶, 哲軒

陶哲轩 澳大利亚数学家

陶持慎 1975-

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