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(全新特價) 書名:Electronic Concepts: An Introduction 作者:KRENZ 出版社:Cambridge 出版日期:2000/00/00 ISBN:9780521662826
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【簡介】 This textbook aims to equip readers with a deep understanding of mathematical techniques essential for modeling, analyzing, and solving real-world problems across diverse disciplines. Written for graduate students and professionals, the book emphasizes practical applications of applied mathematics in the context of modern challenges, especially in the age of artificial intelligence and data-driven sciences.The text is structured around core areas including complex analysis, differential equations, variational calculus, optimal control, stochastic processes, statistical inference and learning. These foundational topics are developed through a balance of theoretical principles and practical methods, with examples drawn from physics, engineering, and data science to illustrate each technique’s relevance and application. Throughout the book, exercises are proposed to help readers practice and refine these techniques, and the appendices include a collection of past midterm and final exam papers from the University of Arizona’s Math 581 course, offering students a valuable resource for further study and self-assessment.
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Principles of Mathematical Analysis 3/e 2023 Edition 作者:Walter Rudin ISBN:9786269708116 版次:3 年份:2023 出版商:McGraw-Hill 頁數/規格:342頁/平裝單色 Description This book is intended to serve as a text for the course in analysis that is usually taken by advanced undergraduates or by first-year students who study mathematics. NEW to This Edition The material on functions of several variables in Chapter 9 is significantly rewritten, with many details filled in, and with more examples and more motivation. The proof of the inverse function theorem is simplified by means of the fixed point theorem about contraction mappings. Differential forms are discussed in much greater detail. Several applications of Stokes' theorem are included. The Riemann-Stieltjes integral in Chapter 6 has been trimmed a bit. A short do-it-yourself section on the gamma function has been added to Chapter 8. There is a large number of new exercises throughout the book, most of them with fairly detailed hints. Several references to articles appearing in the American Mathematical Monthly and in Mathematics Magazine are included for students to develop the habit of looking into the journal literature. 目錄 Table of Contents Chapter 1: The Real and Complex Number Systems Chapter 2: Basic Topology Chapter 3: Numerical Sequences and Series Chapter 4: Continuity Chapter 5: Differentiation Chapter 6: The Riemann-Stieltjes Integral Chapter 7: Sequences and Series of Functions Chapter 8: Some Special Functions Chapter 9: Functions of Several Variables Chapter 10: Integration of Differential Forms Chapter 11: The Lebesgue Theory
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The seventh edition of this classic second language acquisition (SLA) text provides an overview of the theoretical foundations of language teaching. This new edition has been updated to capture current research and practice in the field. Among concepts that are either redefined or entirely new are: Language learning in an era of globalization and multilingualism The significance of transnationalism, identity, investment, agency, and ideology Language learning as situated, usage-based, and socioculturally contextualized The importance of emotional engagement, intercultural sensitivity, and self-efficacy in language learning Transdisciplinary and ecological approaches as keys to language teaching in the 21st century The seventh edition also retains useful historical information and foundational cornerstones of SLA that teachers have found beneficial in their instruction. Key principles continue to be presented and explained with direct application to classroom language education and real-life contexts. Features such as "Points to Ponder" (questions for readers’ personal reflection), classroom connections and "Tips for Teaching," suggested readings, and a glossary of terminology are updated in this edition. With its reader-friendly style, practical pedagogical tools, and comprehensive coverage of state-of-the-art research findings, this edition serves as an essential resource for language teacher education programs worldwide, catering to the needs of both novice and experienced language teachers. Table of Contents Chapter 1: Language, Learning, and Teaching Chapter 2: Overview of SLA Research Chapter 3: Age and Language Development Chapter 4: Neurobiology of Language Learning Chapter 5: Motivation, Identity, and Agency Chapter 6. Aptitude and Cognitive Differences Chapter 7: Learner Language and Crosslinguistic Influences Chapter 8: Cognitive and Processing Approaches Chapter 9: Sociocultural Theory and Additional Language Learning Chapter 10: Ecological and Transdisciplinary Approaches to Language Learning and Teaching
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