書名:Calculus Volume 2 2/e 作者:APOSTOL 出版社:John Wiley 出版日期:1969/06/20 ISBN:9780471000075 內容簡介 Volume I presents one-variable calculus with an introduction to linear algebra and volume II presents multi-variable calculus and linear algebra, with applications to differential equations and probability 目錄 PART 1 Linear Analysis. 1.Linear Spaces. 2.Linear Transformations and Matrices. 3.Determinants. 4.Eigenvalues and Eigenvectors. 5.Eigenvalues of Operators Acting on Euclidean Spaces. 6.Linear Differential Equations. 7.Systems of Differential Equations. PART 2 Nonlinear Analysis. 8.Differential Calculus of Scalar and Vector Fields. 9.Applications of the Differential Calculus. 10.Line Integrals. 11.Multiple Integrals 12.Surface Integrals PART 3 Special Topics. 13.Set Functions and Elementary Probability. 14.Calculus of Probabilities. 15.Introduction to Numerical Analysis.
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Calculus, Volume 1 2/e ISBN13:9780471000051 出版社:Wiley 作者:APOSTOL 裝訂:精裝 版次:2 出版日:1991/10/00
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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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書名:Electricity and Magnetism 作者:PURCELL 出版社:Cambridge 出版日期:2013/01/00 ISBN:9781107014022
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書名:Linear Algebra:A First Course With Applications to Differential Equations 作者:Tom M. Apostol 出版社:John Wiley ISBN:9780470067833
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【簡介】 PREMIUM PRACTICE FOR A PERFECT 5! Ace the newly-digital AP Calculus BC Exam with this comprehensive study guide--including 5 full-length practice tests with answer explanations, timed online practice, and thorough content reviews.The Princeton Review ExpertiseStudy with prep and practice written entirely by AP educatorsLearn test-taking strategies backed by 40+ years of test prep success Focused, supportive lessons designed and perfected by experts Everything You Need for a High ScoreComprehensive review of all topics on the new digital examCustomize a study plan and target areas of improvement by using our diagnostic answer keyStep-by-step walkthroughs of key formulas and sample questionsEnd-of-chapter drills and exclusive online digital flashcards to reinforce learningPremium Practice for AP Excellence5 full-length practice tests (2 in the book, 3 online)Detailed answer explanations to help you learn from mistakesOnline tests provided as both digital versions (with timer option to simulate exam experience), and as downloadable PDFs (with interactive elements mimicking the exam interface)Get more via your online student tools--including a list of key terms and concepts, study plans, and exam updates
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【簡介】 PREMIUM PRACTICE FOR A PERFECT 5--WITH THE MOST PRACTICE ON THE MARKET! Ace the newly-digital AP Calculus AB Exam with The Princeton Review’s comprehensive study guide. Includes 8 full-length practice tests with complete explanations, timed online practice, and thorough content reviews.The Princeton Review ExpertiseStudy with prep and practice written entirely by AP educatorsLearn test-taking strategies backed by 40+ years of test prep success Focused, supportive lessons designed and perfected by experts Everything You Need for a High ScoreComprehensive review of all topics on the new digtal examCustomize a study plan and target areas of improvement by using our diagnostic answer keyStep-by-step walkthroughs of key formulas and sample questionsEnd-of-chapter drills and exclusive online digital flashcards to reinforce learningPremium Practice for AP Excellence8 full-length practice tests (3 in the book, 5 online)Detailed answer explanations to help you learn from mistakesOnline tests provided as both digital versions (with timer option to simulate exam experience), and as downloadable PDFs (with interactive elements mimicking the exam interface)Get more via your online student tools--including a list of key terms and concepts, study plans, and exam updates
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