Terence Tao – författare

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33 produkter

Solving Mathematical Problems
A Personal Perspective
AvTerence Tao
Häftad, Engelska, 2006
406 kr
Skickas inom 5-8 vardagar
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
Analysis I
AvTerence Tao
Inbunden, Engelska, 2022
718 kr
Skickas inom 5-8 vardagar
This is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to 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. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty 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.The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.
Analysis II
AvTerence Tao
Inbunden, Engelska, 2022
621 kr
Skickas inom 5-8 vardagar
This is part two of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to 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. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty 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.The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.
Solving Mathematical Problems
A Personal Perspective
AvTerence Tao
E-bok
PDF, Engelska, 2006
335 kr
Läs direkt efter köp
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
Solving Mathematical Problems
A Personal Perspective
AvTerence Tao
Inbunden, Engelska, 2006
2 077 kr
Skickas inom 5-8 vardagar
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
Six Maths Essentials
How to Model the World
AvTerence Tao
Inbunden, Engelska, 2026
210 kr
Kommande
The ‘Mozart of mathematics’ (New York Times) takes us on a tour of the core ideas of mathematical thinkingIn Six Maths Essentials, the renowned mathematician Terence Tao shows how mathematics has evolved from counting and geometry into a flexible set of tools for understanding an increasingly complex world. He moves effortlessly from children discovering infinity through play, to the numbers that underpin our online lives; from Johannes Kepler using algebra to price a barrel of wine, to curved geometries that explain why GPS works and planes don’t fly in straight lines on a map. Along the way, dice games, insurance policies and financial crises illuminate probability’s promise—and its limits—while deceptively simple rules give rise to chaos, pattern and life itself.Playful and wise, this is the best entry point for understanding how mathematics works. Contrary to popular perception, maths, Tao insists, isn’t magic—it's a powerful way of thinking from first principles and modelling the world that anyone can learn.
Del 105 - Cambridge Studies in Advanced Mathematics
Additive Combinatorics
AvTerence Tao,Van H. Vu
Häftad, Engelska, 2009
784 kr
Skickas inom 5-8 vardagar
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 2006 text will allow students and researchers easy entry into this fascinating field. Here, 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 an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
Del 105 - Cambridge Studies in Advanced Mathematics
Additive Combinatorics
AvTerence Tao,Van H. Vu
Inbunden, Engelska, 2006
1 823 kr
Skickas inom 5-8 vardagar
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 2006 text will allow students and researchers easy entry into this fascinating field. Here, 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 an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
Structure and Randomness
Pages from Year One of a Mathematical Blog
AvTerence Tao
Häftad, Engelska, 2009
589 kr
Skickas inom 5-8 vardagar
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 = mc2, 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.
Poincare's Legacies, Part II
Pages from Year Two of a Mathematical Blog
AvTerence Tao
Häftad, Engelska, 2009
628 kr
Skickas inom 11-20 vardagar
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 recent developments in mathematics, to lecture notes for his classes, to non-technical puzzles and expository articles. The articles from the first year of that blog have already been published by the AMS. The posts from 2008 are being published in two volumes. This book is Part II of the second-year posts, focusing on geometry, topology, and partial differential equations. The major part of the book consists of lecture notes from Tao's course on the Poincare conjecture and its recent spectacular solution by Perelman. The course incorporates a review of many of the basic concepts and results needed from Riemannian geometry and, to a lesser extent, from parabolic PDE. The aim is to cover in detail the high-level features of the argument, along with selected specific components of that argument, while sketching the remaining elements, with ample references to more complete treatments. The lectures are as self-contained as possible, focusing more on the 'big picture' than on technical details. In addition to these lectures, a variety of other topics are discussed, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black-Scholes equation. Some selected comments and feedback from blog readers have also been incorporated into the articles. The book is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.
Compactness and Contradiction
AvTerence Tao
Häftad, Engelska, 2013
492 kr
Skickas inom 5-8 vardagar
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.The articles, essays, and notes in this book are derived from the author's mathematical blog in 2010. It contains a broad selection of mathematical expositions, commentary, and self-contained technical notes in many areas of mathematics, such as logic, group theory, analysis, and partial differential equations. The topics range from the foundations of mathematics to discussions of recent mathematical breakthroughs.Lecture notes from the author's courses that appeared on the blog have been published separately in the Graduate Studies in Mathematics series
Hilbert's Fifth Problem and Related Topics
AvTerence Tao
Inbunden, Engelska, 2014
1 185 kr
Skickas inom 5-8 vardagar
Winner of the 2015 Prose Award for Best Mathematics Book!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.
Expansion in Finite Simple Groups of Lie Type
AvTerence Tao
Inbunden, Engelska, 2015
1 614 kr
Skickas inom 5-8 vardagar
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-Szemeredi-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.
Higher Order Fourier Analysis
AvTerence Tao
Häftad, Engelska, 2012
1 060 kr
Skickas inom 5-8 vardagar
Traditional Fourier analysis, which has been remarkably effective in many contexts, uses linear phase functions to study functions. Some questions, such as problems involving arithmetic progressions, naturally lead to the use of quadratic or higher order phases. Higher order Fourier analysis is a subject that has become very active only recently. Gowers, in groundbreaking work, developed many of the basic concepts of this theory in order to give a new, quantitative proof of Szemerédi's theorem on arithmetic progressions. However, there are also precursors to this theory in Weyl's classical theory of equidistribution, as well as in Furstenberg's structural theory of dynamical systems.This book, which is the first monograph in this area, aims to cover all of these topics in a unified manner, as well as to survey some of the most recent developments, such as the application of the theory to count linear patterns in primes. The book serves as an introduction to the field, giving the beginning graduate student in the subject a high-level overview of the field. The text focuses on the simplest illustrative examples of key results, serving as a companion to the existing literature on the subject. There are numerous exercises with which to test one's knowledge.
Introduction to Measure Theory
AvTerence Tao
Häftad, Engelska, 2011
1 060 kr
Skickas inom 5-8 vardagar
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 Caratheodory 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.As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Epsilon of Room, I: Real Analysis
Pages from Year Three of a Mathematical Blog
AvTerence Tao
Häftad, Engelska, 2010
1 060 kr
Skickas inom 5-8 vardagar
In 2007 Terry Tao began a mathematical blog to cover a variety of topics, ranging from his own research and other recent developments in mathematics, to lecture notes for his classes, to nontechnical puzzles and expository articles. The first two years of the blog have already been published by the American Mathematical Society. The posts from the third year are being published in two volumes. The present volume consists of a second course in real analysis, together with related material from the blog.The real analysis course assumes some familiarity with general measure theory, as well as fundamental notions from undergraduate analysis. The text then covers more advanced topics in measure theory, notably the Lebesgue-Radon-Nikodym theorem and the Riesz representation theorem, topics in functional analysis, such as Hilbert spaces and Banach spaces, and the study of spaces of distributions and key function spaces, including Lebesgue's $L^p$ spaces and Sobolev spaces. There is also a discussion of the general theory of the Fourier transform.The second part of the book addresses a number of auxiliary topics, such as Zorn's lemma, the Caratheodory extension theorem, and the Banach-Tarski paradox. Tao also discusses the epsilon regularisation argument--a fundamental trick from soft analysis, from which the book gets its title. Taken together, the book presents more than enough material for a second graduate course in real analysis.The second volume consists of technical and expository articles on a variety of topics and can be read independently.
Topics in Random Matrix Theory
AvTerence Tao
Häftad, Engelska, 2012
811 kr
Skickas inom 5-8 vardagar
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book. In this graduate text, we focus on one specific sector of the field, namely the spectral distribution of random Wigner matrix ensembles (such as the Gaussian Unitary Ensemble), as well as iid matrix ensembles. The text is largely self-contained and starts with a review of relevant aspects of probability theory and linear algebra. With over 200 exercises, the book is suitable as an introductory text for beginning graduate students seeking to enter the field.
Del 2 - MATRIX Book Series
2017 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Inbunden, Engelska, 2019
1 568 kr
Skickas inom 10-15 vardagar
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives and Calabi–Yau Differential Equations- Computational Inverse Problems- Integrability in Low-Dimensional Quantum Systems- Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book- Combinatorics, Statistical Mechanics, and Conformal Field Theory- Mathematics of Risk- Tutte Centenary Retreat- Geometric R-Matrices: from Geometry to ProbabilityThe articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
2017 MATRIX Annals
AvTerence Tao,Cheryl E. Praegerm. fl.
E-bok
PDF, Engelska, 2019
1 886 kr
Läs direkt efter köp
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017:
- Hypergeometric Motives and Calabi–Yau Differential Equations
- Computational Inverse Problems
- Integrability in Low-Dimensional Quantum Systems
- Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book
- Combinatorics, Statistical Mechanics, and Conformal Field Theory
- Mathematics of Risk
- Tutte Centenary Retreat
- Geometric R-Matrices: from Geometry to Probability
The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
Del 1 - MATRIX Book Series
2016 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Häftad, Engelska, 2018
1 568 kr
Skickas inom 10-15 vardagar
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 - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology 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.
2018 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Inbunden, Engelska, 2020
1 345 kr
Skickas inom 10-15 vardagar
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in 2018:- Non-Equilibrium Systems and Special Functions- Algebraic Geometry, Approximation and Optimisation- On the Frontiers of High Dimensional Computation- Month of Mathematical Biology- Dynamics, Foliations, and Geometry In Dimension 3- Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type- Functional Data Analysis and Beyond- Geometric and Categorical Representation TheoryThe articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
2018 MATRIX Annals
AvTerence Tao,Cheryl E. Praegerm. fl.
E-bok
PDF, Engelska, 2020
1 728 kr
Läs direkt efter köp
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in 2018:
- Non-Equilibrium Systems and Special Functions
- Algebraic Geometry, Approximation and Optimisation
- On the Frontiers of High Dimensional Computation
- Month of Mathematical Biology
- Dynamics, Foliations, and Geometry In Dimension 3
- Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type
- Functional Data Analysis and Beyond
- Geometric and Categorical Representation Theory
The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
2018 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Häftad, Engelska, 2021
1 345 kr
Skickas inom 10-15 vardagar
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in 2018:- Non-Equilibrium Systems and Special Functions- Algebraic Geometry, Approximation and Optimisation- On the Frontiers of High Dimensional Computation- Month of Mathematical Biology- Dynamics, Foliations, and Geometry In Dimension 3- Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type- Functional Data Analysis and Beyond- Geometric and Categorical Representation TheoryThe articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
2019-20 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Inbunden, Engelska, 2021
2 007 kr
Skickas inom 10-15 vardagar
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions· Australian-German Workshop on Differential Geometry in the Large· Aperiodic Order meets Number Theory· Ergodic Theory, Diophantine Approximation and Related Topics· Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases· International Workshop on Spatial Statistics· Mathematics of Physiological Rhythms· Conservation Laws, Interfaces and Mixing· Structural Graph Theory Downunder· Tropical Geometry and Mirror Symmetry· Early Career Researchers Workshop on Geometric Analysis and PDEs· Harmonic Analysis and Dispersive PDEs: Problems and ProgressThe articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
2019-20 MATRIX Annals
AvTerence Tao,Cheryl E. Praegerm. fl.
E-bok
PDF, Engelska, 2021
2 551 kr
Läs direkt efter köp
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020:
·       Topology of Manifolds: Interactions Between High and Low Dimensions
·       Australian-German Workshop on Differential Geometry in the Large
·       Aperiodic Order meets Number Theory
·       Ergodic Theory, Diophantine Approximation and Related Topics
·       Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases
·       International Workshop on Spatial Statistics
·       Mathematics of Physiological Rhythms
·       Conservation Laws, Interfaces and Mixing
·       Structural Graph Theory Downunder
·       Tropical Geometry and Mirror Symmetry
·       Early Career Researchers Workshop on Geometric Analysis and PDEs
·       Harmonic Analysis and Dispersive PDEs: Problems and Progress
The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
2019-20 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Häftad, Engelska, 2022
2 007 kr
Skickas inom 10-15 vardagar
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions· Australian-German Workshop on Differential Geometry in the Large· Aperiodic Order meets Number Theory· Ergodic Theory, Diophantine Approximation and Related Topics· Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases· International Workshop on Spatial Statistics· Mathematics of Physiological Rhythms· Conservation Laws, Interfaces and Mixing· Structural Graph Theory Downunder· Tropical Geometry and Mirror Symmetry· Early Career Researchers Workshop on Geometric Analysis and PDEs· Harmonic Analysis and Dispersive PDEs: Problems and ProgressThe articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
Del 1 - MATRIX Book Series
2016 MATRIX Annals
AvDavid R. Wood,Jan de Gierm. fl.
Inbunden, Engelska, 2018
1 563 kr
Skickas inom 10-15 vardagar
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 - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology 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.
2016 MATRIX Annals
AvTerence Tao,Cheryl E. Praegerm. fl.
E-bok
PDF, Engelska, 2018
1 913 kr
Läs direkt efter köp
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
- Winter of Disconnectedness
- Approximation and Optimisation
- Refining C*-Algebraic Invariants for Dynamics using KK-theory
- Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology
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.
Analysis I
Third Edition
AvTerence Tao
E-bok
PDF, Engelska, 2016
606 kr
Läs direkt efter köp
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.
Analysis II
Third Edition
AvTerence Tao
E-bok
PDF, Engelska, 2016
631 kr
Läs direkt efter köp
This is part two 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.

Terence Tao – författare

Solving Mathematical Problems

Analysis I

Analysis II

Solving Mathematical Problems

Solving Mathematical Problems

Six Maths Essentials

Additive Combinatorics

Additive Combinatorics

Structure and Randomness

Poincare's Legacies, Part II

Compactness and Contradiction

Hilbert's Fifth Problem and Related Topics

Expansion in Finite Simple Groups of Lie Type

Higher Order Fourier Analysis

Introduction to Measure Theory

Epsilon of Room, I: Real Analysis

Topics in Random Matrix Theory

2017 MATRIX Annals

2017 MATRIX Annals

2016 MATRIX Annals

2018 MATRIX Annals

2018 MATRIX Annals

2018 MATRIX Annals

2019-20 MATRIX Annals

2019-20 MATRIX Annals

2019-20 MATRIX Annals

2016 MATRIX Annals

2016 MATRIX Annals

Analysis I

Analysis II