Calculus Volume 1 (2版)
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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 (3版)
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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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Physics for Scientists and Engineers with Modern Physics (套書不分售) (10版)
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書名：Physics for Scientists and Engineers with Modern Physics 10/e(套書不分售)
作者：Serway
出版社：Cengage
出版日期：2018/00/00
ISBN：9789579282147
原價:
1480
售價:
1406
現省:
74元
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Electricity and Magnetism (3版)
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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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Advanced Engineering Mathematics (TW Custom. Ed.) (10版)
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原文書資訊
書名:Advanced Engineering Mathematics (台灣版) 10/E 2018 <Wiley>
作者: Kreyszig
ISBN: 9781119934165
出版社: John Wiley
出版年: 2018年
中文書資訊
書名: 高等工程數學(上) Advanced Engineering Mathematics ,高等工程數學(下) Advanced Engineering Mathematics
作者: Kreyszig / 江昭皚
ISBN: 9789572185100,9789572186404
出版社: 全華
出版年: 2012年
原價:
1560
售價:
1482
現省:
78元
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Linear Algebra:A First Course With Applications to Differential Equations
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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
原價:
1380
售價:
1283
現省:
97元
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電子書 Calculus, Volume 1, 2nd Edition Apostol 9780471000051 2019 <JW>
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原價:
1763
售價:
1975
現省:
-212元
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Technical Mathematics, 4th Edition and Technical Mathematics with Calculus, 4th Edition Student Solutions Manual (4版)
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FUNDAMENTALS OF MULTIVARIABLE CALCULUS
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This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.
Engaging and accessible with detailed diagrams and copious worked examples, the presentation is well suited to students pursuing applied fields such as engineering. Multiple integration is motivated intuitively through the calculation of mass. The chapter-end problems provide both drill and challenge.
Overall, the book should equip students with the knowledge and confidence needed for subsequent courses.
An appendix on hints renders the book suitable for self-study. Prerequisites are limited to single-variable calculus, linear algebra, and analytic geometry.
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Sample Chapter(s)
Preface
Chapter 1: Preliminaries: Lines, Trajectories, Surfaces, and 3D Figures
Contents:
Preface
About the Authors
Preliminaries
Differential Calculus
Double Integrals
Triple Integrals
Line Integrals
Surface Integrals
The Principal Theorems
Appendix A: Fields in Curvilinear Coordinates
Appendix B: Hints and Answers
Index
Readership: Undergraduate students in mathematics, science, and engineering, as well as practicing engineers.
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AP Calculus Premium, 2025
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