Tao, Terence 1975Overview
Most widely held works by
Terence Tao
Additive combinatorics
by Terence Tao
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Book
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25 editions published between 2006 and 2012 in English and held by 532 WorldCat member libraries worldwide For the first time, the many different tools from different fields that are used in additive combinatorics are brought together in a selfcontained and systematic manner. This graduate level textbook will quickly allow students and researchers easy entry into the fascinating field of additive combinatorics
Solving mathematical problems : a personal perspective
by Terence Tao
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Book
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22 editions published between 1992 and 2010 in English and Undetermined and held by 477 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."Back cover
Nonlinear dispersive equations : local and global analysis
by Terence Tao
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Book
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8 editions published in 2006 in English and held by 280 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
An introduction to measure theory
by Terence Tao
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Book
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7 editions published in 2011 in English and held by 212 WorldCat member libraries worldwide
Structure and randomness : pages from year one of a mathematical blog
by Terence Tao
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Book
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10 editions published between 2000 and 2009 in English and held by 205 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."BOOK JACKET
Topics in random matrix theory
by Terence Tao
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Book
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7 editions published in 2012 in English and held by 194 WorldCat member libraries worldwide
Analysis
by Terence Tao
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Book
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11 editions published between 2006 and 2009 in English and held by 186 WorldCat member libraries worldwide
An epsilon of room, I : real analysis : pages from year three of a mathematical blog
by Terence Tao
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Book
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7 editions published in 2010 in English and held by 170 WorldCat member libraries worldwide
Higher order Fourier analysis
by Terence Tao
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Book
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9 editions published in 2012 in English and held by 158 WorldCat member libraries worldwide
Compactness and contradiction
by Terence Tao
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Book
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4 editions published in 2013 in English and held by 155 WorldCat member libraries worldwide
Poincaré's legacies : pages from year two of a mathematical blog
by Terence Tao
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Book
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8 editions published in 2009 in English and held by 152 WorldCat member libraries worldwide
An epsilon of room, II : pages from year three of a mathematical blog
by Terence Tao
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Book
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6 editions published between 2010 and 2011 in English and held by 89 WorldCat member libraries worldwide
Analysis
by Terence Tao
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Book
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8 editions published between 2006 and 2009 in English and held by 48 WorldCat member libraries worldwide
Analysis
by Terence Tao
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Book
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9 editions published between 2006 and 2009 in English and held by 46 WorldCat member libraries worldwide
Poincaré's legacies. pages from year two of a mathematical blog
by Terence Tao
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Book
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2 editions published in 2009 in English and held by 16 WorldCat member libraries worldwide
Poincaré's legacies. pages from year two of a mathematical blog
by Terence Tao
(
Book
)
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
Nonlinear dispersive equations : local and global analysis ; [lecturte series NSFCBMS regional conference on nonlinear and dispersive wave wquations at New Mexico State University, held in June 2005]
by Terence Tao
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Book
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1 edition published in 2006 in English and held by 8 WorldCat member libraries worldwide
Ramification theory for varieties over a local field
by Kazuya Kato
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Book
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2 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
Real analysis
by Terence Tao
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Book
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1 edition published in 2010 in English and held by 5 WorldCat member libraries worldwide
Simplylaced isomonodromy systems
by Philip P Boalch
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Book
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3 editions published in 2012 in English and held by 5 WorldCat member libraries worldwide more
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Audience Level
Related Identities
Associated Subjects
Additive combinatorics Australia Blogs Combinatorial analysis Differential equations, Partial Fourier analysis Functional analysis Graph theory Harmonic analysis 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
タオ, テレンス
陶持慎, 1975
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