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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CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS (5版)
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書名：CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS 5/E(IE)
作者：THORNTON
出版社：Cengage
出版日期：2007/11/00
ISBN：9780495556107
目錄
1. Matrices, Vectors, and Vector Calculus.
2. Newtonian Mechanics--Single Particle.
3. Oscillations.
4. Nonlinear Oscillations and Chaos.
5. Gravitation.
6. Some Methods in the Calculus of Variations.
7. Hamilton''s Principle--Lagrangian and Hamiltonian Dynamics.
8. Central-Force Motion.
9. Dynamics of a System of Particles.
10. Motion in a Noninertial Reference Frame.
11. Dynamics of Rigid Bodies.
12. Coupled Oscillations.
13. Continuous Systems: Waves.
14. Special Theory of Relativity.
Appendices.
Selected References.
Bibliography.
Answers to Even-Numbered Problems.
原價:
1240
售價:
1178
現省:
62元
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Boyce`s Elementary Differential Equations and Boundary Value Problems (12版)
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書名：Boyce`s Elementary Differential Equations and Boundary Value Problems 12/e
作者：Boyce
裝訂：平裝
出版社：John Wiley
出版日期：2022/08/00
ISBN：9781119820512
目錄
TABLE OF CONTENTS
1 Introduction
2 First-Order Differential Equations
3 Second-Order Linear Differential Equations
4 Higher-Order Linear Differential Equations
5 Series Solutions of First-Order and Second-Order Linear Equations
6 Systems of First-Order Linear Equations
7 The Laplace Transform
8 Numerical Methods of Solving First Order Equations
9 Nonlinear Differential Equations and Stability
10 Partial Differential Equations and Fourier Series
11 Boundary Value Problems and Sturm-Liouville Theory
Web Appendix
Special Functions: On Legendre Polynomials and Functions
ANSWERS TO PROBLEMS
INDEX
原價:
1640
售價:
1525
現省:
115元
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LINEAR ALGEBRA (4版)
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書名：Linear Algebra 4/E
作者：Friedberg / Insel / Spence
出版社：Pearson
出版日期：2013/00/00
ISBN：9781292026503
原價:
1450
售價:
1378
現省:
72元
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INTRODUCTION TO QUANTUM MECHANICS (3版)
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書名：INTRODUCTION TO QUANTUM MECHANICS 3/E
作者：GRIFFITHS
出版社：Cambridge
出版日期：2018/08/16
ISBN：9781107189638
原價:
1750
售價:
1715
現省:
35元
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書名：OPTICS 5/E
作者：HECHT
出版社：PEARSON
出版日期：2016/12/00
ISBN：9781292096933
內容簡介
1: A Brief History
2: Wave Motion
3: Electromagnetic Theory, Photons, and Light
4: The Propagation of Light
5: Geometrical Optics
6: More on Geometrical Optics
7: The Superposition of Waves
8: Polarization
9: Interference
10: Diffraction
11: Fourier Optics
12: Basics of Coherence Theory
13: Modern Optics: Lasers and Other Topics
原價:
1500
售價:
1470
現省:
30元
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工程數學(二) : 常微分方程式. 特殊函數暨Laplace 轉換(修訂版)
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本書為林教授歷經三十餘年教學經驗，蒐集諸多單元課程教科書，萃取精華編撰而成，共分四冊，第一冊為向量分析暨矩陣分析；第二冊為常微分方程式、特殊函數暨 Laplace轉換；第三冊為正交函數、Fourier 級數、Strum-Liouville 問題及偏微分方程式；第四冊為複變函數及其應用，可為12學分之課程教材。書後附有答案，並另附有教師手冊，以供參考。
本書特色：取材廣闊、內容完備、善舉範例、深入淺出、精選習題、解說詳實、融合觀念、啟智進修。
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工程數學(一) : 向量分析暨矩陣分析
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工程數學(一)：向量分析暨矩陣分析
+作者：林祐輔編撰
+年份：2005 年1 版
+ISBN：9867287142
+書號：MA0207
+規格：16開/平裝/單色
+頁數：528
+出版商：滄海
本書為林教授歷經三十餘年教學經驗，蒐集諸多單元課程教科書，萃取精華編撰而成，共分四冊，第一冊為向量分析暨矩陣分析；第二冊為常微分方程式、特殊函數及Laplace 轉換；第三冊為正交函數、Fourier 級數、Sturm-Liouville 問題及偏微分方程式；第四冊為複變函數及其應用，可為12學分之課程教材。書後附有答案，並另附有教師手冊，以供參考。
本書特色：取材廣闊、內容完備、善舉範例、深入淺出、精選習題、解說詳實、融合觀念、啟智進修。
目錄
第1章 向量代數
第2章 向量微分
第3章 向量積分
第4章 向量場性質及應用
第5章 行列式與矩陣
習題答案
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THERMAL PHYSICS(台灣版) (2版)
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【原文書】
書名：Thermal Physics 2/E
作者：Charles Kittel
ISBN：0716710889
Synopsis
CONGRATULATIONS TO HERBERT KROEMER, 2000 NOBEL LAUREATE FOR PHYSICS
For upper-division courses in thermodynamics or statistical mechanics, Kittel and Kroemer offers a modern approach to thermal physics that is based on the idea that all physical systems can be described in terms of their discrete quantum states, rather than drawing on 19th-century classical mechanics concepts.
"synopsis" may belong to another edition of this title.
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PRINCIPLES OF QUANTUM MECHANICS (2版)
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【原文書】
書名：Principles of Quantum Mechanics 2/e
作者:R. Shankar
出版社：Kluwer Academic Plenum Publishers
ISBN：9780306447907
About this Textbook
Reviews from the First Edition:
"An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist)
"No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of." (Physics Bulletin)
Reviews of the Second Edition:
"This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. … It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews)
R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include:
- Clear, accessible treatment of underlying mathematics
- A review of Newtonian, Lagrangian, and Hamiltonian mechanics
- Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates
- Unsurpassed coverage of path integrals and their relevance in contemporary physics
The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.
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Physics with MAPLE: The Computer Algebra Resource for Mathematical Methods in Physics 2006 <JW> 3-527-40640-9
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