Analysis I

Analysis I PDF Author: Terence Tao
Publisher: Springer
ISBN: 9811017891
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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 I

Analysis I PDF Author: Terence Tao
Publisher: Springer
ISBN: 9811017891
Category : Mathematics
Languages : en
Pages : 366

Get Book Here

Book Description
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.

Poincare's Legacies, Part I

Poincare's Legacies, Part I PDF Author: Terence Tao
Publisher: American Mathematical Soc.
ISBN: 0821848836
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Focuses on ergodic theory, combinatorics, and number theory. This book discusses a variety of topics, ranging from developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes.

Analysis II

Analysis II PDF Author: Terence Tao
Publisher: Springer
ISBN: 9811018049
Category : Mathematics
Languages : en
Pages : 235

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Book Description
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.

Grid and Cooperative Computing. Part 2

Grid and Cooperative Computing. Part 2 PDF Author: Minglu Li
Publisher: Springer Science & Business Media
ISBN: 3540219935
Category : Computers
Languages : en
Pages : 1114

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Book Description
The two-volume set LNCS 3032 and LNCS 3033 constitute the thoroughly refereed post-proceedings of the Second International Workshop on Grid and Cooperative Computing, GCC 2003, held in Shanghai, China in December 2003. The 176 full papers and 173 poster papers presented were carefully selected from a total of over 550 paper submissions during two rounds of reviewing and revision. The papers are organized in topical sections on grid applications; peer-to-peer computing; grid architectures; grid middleware and toolkits; Web security and Web services; resource management, scheduling, and monitoring; network communication and information retrieval; grid QoS; algorithms, economic models, and theoretical models of the grid; semantic grid and knowledge grid; remote data access, storage, and sharing; and computer-supported cooperative work and cooperative middleware.

Intelligent Robotics and Applications

Intelligent Robotics and Applications PDF Author: Caihua Xiong
Publisher: Springer
ISBN: 3540885137
Category : Medical
Languages : en
Pages : 1315

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Book Description
These two volumes constitute the refereed proceedings of the First International Conference on Intelligent Robotics and Applications, ICIRA 2008, held in Wuhan, China, in October 2008. The 265 revised full papers presented were thoroughly reviewed and selected from 552 submissions; they are devoted but not limited to robot motion planning and manipulation; robot control; cognitive robotics; rehabilitation robotics; health care and artificial limb; robot learning; robot vision; human-machine interaction & coordination; mobile robotics; micro/nano mechanical systems; manufacturing automation; multi-axis surface machining; realworld applications.

Living in Truth: Archaeology and the Patriarchs (Part I)

Living in Truth: Archaeology and the Patriarchs (Part I) PDF Author: Charles N. Pope
Publisher: DomainOfMan.com
ISBN:
Category : History
Languages : en
Pages : 402

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Book Description
Pre-Dynastic, Old Kingdom, Middle Kingdom, Hyksos Period and early New Kingdom Egypt. The great pharaohs of Egypt are placed in context with their Biblical counterparts.

Neural Computing for Advanced Applications

Neural Computing for Advanced Applications PDF Author: Haijun Zhang
Publisher: Springer Nature
ISBN: 9811961425
Category : Computers
Languages : en
Pages : 566

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Book Description
The two-volume Proceedings set CCIS 1637 and 1638 constitutes the refereed proceedings of the Third International Conference on Neural Computing for Advanced Applications, NCAA 2022, held in Jinan, China, during July 8–10, 2022. The 77 papers included in these proceedings were carefully reviewed and selected from 205 submissions. These papers were categorized into 10 technical tracks, i.e., neural network theory, and cognitive sciences, machine learning, data mining, data security & privacy protection, and data-driven applications, computational intelligence, nature-inspired optimizers, and their engineering applications, cloud/edge/fog computing, the Internet of Things/Vehicles (IoT/IoV), and their system optimization, control systems, network synchronization, system integration, and industrial artificial intelligence, fuzzy logic, neuro-fuzzy systems, decision making, and their applications in management sciences, computer vision, image processing, and their industrial applications, natural language processing, machine translation, knowledge graphs, and their applications, Neural computing-based fault diagnosis, fault forecasting, prognostic management, and system modeling, and Spreading dynamics, forecasting, and other intelligent techniques against coronavirus disease (COVID-19).

Intelligent Computing Theories and Application

Intelligent Computing Theories and Application PDF Author: De-Shuang Huang
Publisher: Springer
ISBN: 3030267636
Category : Computers
Languages : en
Pages : 802

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Book Description
This two-volume set of LNCS 11643 and LNCS 11644 constitutes - in conjunction with the volume LNAI 11645 - the refereed proceedings of the 15th International Conference on Intelligent Computing, ICIC 2019, held in Nanchang, China, in August 2019. The 217 full papers of the three proceedings volumes were carefully reviewed and selected from 609 submissions. The ICIC theme unifies the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. The theme for this conference is “Advanced Intelligent Computing Methodologies and Applications.” Papers related to this theme are especially solicited, including theories, methodologies, and applications in science and technology.

Intelligent Computing Methodologies

Intelligent Computing Methodologies PDF Author: De-Shuang Huang
Publisher: Springer
ISBN: 3030267660
Category : Computers
Languages : en
Pages : 833

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Book Description
This two-volume set of LNCS 11643 and LNCS 11644 constitutes - in conjunction with the volume LNAI 11645 - the refereed proceedings of the 15th International Conference on Intelligent Computing, ICIC 2019, held in Nanchang, China, in August 2019. The 217 full papers of the three proceedings volumes were carefully reviewed and selected from 609 submissions. The ICIC theme unifies the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. The theme for this conference is “Advanced Intelligent Computing Methodologies and Applications.” Papers related to this theme are especially solicited, including theories, methodologies, and applications in science and technology.

The Butterfly as Companion

The Butterfly as Companion PDF Author: Kuang-ming Wu
Publisher: State University of New York Press
ISBN: 1438424493
Category : Religion
Languages : en
Pages : 530

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Book Description
Chuang Tzu's first three chapters are arranged into free verse (in Chinese, in the original word order) and translated, nearly word-for-word, with extensive critical glosses vis-a-vis over fifty Chinese, Japanese, and Western commentators. The exegetical, philosophical, and contemporary implications of these chapters are then meditated upon. Here, in Chuang Tzu's world, all strivings are a play, parodying stories and arguments; each plays off of and refers to the others. Chuang Tzu lived during the third and fourth centuries B.C. Historically, he is the foremost spokesman for Taoism and its legendary founder, Lao Tzu. It was mainly due to the influence of Chuang Tzu that Indian Buddhism was transformed in China into Ch'an into the unique vehicle we usually call by its Japanese name, Zen. This is the most thorough presentation to date of the Chuang Tzu's poetic beauty, philosophical insights, and unity.