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【原文書】 書名:Differential Geometry of Curves and Surfaces: Revised and Updated 2/E 作者:do Carmo 出版社:Dover 出版日期:2016/12/14 ISBN:9780486806990
詳細資訊
【原文書】 書名:Differential Geometry of Curves and Surfaces: Revised and Updated 2/E 作者:do Carmo 出版社:Dover 出版日期:2016/12/14 ISBN:9780486806990
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書名:Topology (PNIE) 2/E 作者:Munkres 出版社:Pearson 出版日期:2014/00/00 ISBN:9781292023625 內容簡介 This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences. 目錄 Ch 1 Set Theory and Logic Ch 2 Topological Spaces and Continuous Functions Ch 3 Connectedness and Compactness Ch 4 Countability and Separation Axioms Ch 5 The Tychonoff Theorem Ch 6 Metrization Theoremss and Paracompactness Ch 7 Complete Metric Spaces and Function Spaces Ch 8 Baire Spaces and Dimension Theory Ch 9 The Fundamental Group Ch10 Separation Theorems in the Plane Ch11 The Seifert-van Kampen Theorem Ch12 Classification of Surfaces Ch13 Classification of Covering Spaces
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書名:A COURSE ON ABSTRACT ALGEBRA 2/E 作者:EIE 出版社:World Scientific 出版日期:2017/09/13 ISBN:9789813229624
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書名:The Elements of Real Analysis 2/E 作者:9780471054641BARTLE 出版社:JOHN WILEY 出版日期:2008/00/00 ISBN:9780471054641
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書名:Linear Algebra and Its Applications 4/e 作者:STRANG 出版社:Cengage 出版日期:2006/00/00 ISBN:9780030105678 內容簡介 ●Offers a large number of applications to physics, engineering, probability and statistics, economics, and biology. These are not tacked on at the end; they are part of the mathematics. ●Includes an optional section on the Fast Fourier Transform. Students discover how this outstanding algorithm fits into linear algebra and introduces complex numbers. ●Recognizes what the computer can do in linear algebra, without being dominated by it. ●Contains a wealth of exercises that appear in the sections and in the chapter reviews. 目錄 1. MATRICES AND GAUSSIAN ELIMINATION. 2. VECTOR SPACES. 3. ORTHOGONALITY. 4. DETERMINANTS. 5. EIGENVALUES AND EIGENVECTORS. 6. POSITIVE DEFINITE MATRICES. 7. COMPUTATIONS WITH MATRICES. 8. LINEAR PROGRAMMING AND GAME THEORY. Appendix A: Intersection, Sum, and Product of Spaces. Appendix B: The Jordan Form. Solutions to Selected Exercises.
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書名:Measure and Integral: An Introduction to Real Analysis 2/e 作者:Richard L. Wheeden 出版社:CRC Press ISBN:9781498702898
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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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書名:量子力學 作者:姚珩 出版社:滄海書局 出版日期:2018/05/00 ISBN:9789865647919 內容簡介 ¨奠定量子力學清晰的數學基礎 ¨強調量子力學重要的六個公設 ¨以狄拉克符號貫通波動與矩陣力學 ¨從量子化條件[X,P]=i建立能量與角動量量子化 ¨自運算子的合成掌握角動量的加法 ¨呈現積分運算如何由內積與公設進入量子力學 ¨以運算子的固有向量為空間基底表明簡易的微擾論 ¨完整討論軌道-自旋耦合精細結構與齊曼效應 ¨說明全同粒子狀態為何需具備嚴格對稱性 ¨每章皆提供有解練習題以進一步體會書中理論 目錄 Chapter 1 量子觀念的歷史回顧 Chapter 2 量子力學的數學基礎 Chapter 3 量子力學公設 Chapter 4 無限位能井、疊合原理與可交換的物理量 Chapter 5 位能井、位能障礙與簡諧振子 Chapter 6 量子力學中的角動量 Chapter 7 氫原子 Chapter 8 角動量的合成 Chapter 9 穩定態之微擾理論 Chapter 10 尋求穩定態能量與波函數的近似法——變分法與 WKB 法 Chapter 11 躍遷——與時間有關的微擾理論 Chapter 12 全同粒子系統 Chapter 13 散射 附錄 物理常數、特殊函數、積分表、係數
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【原文書】 書名:Complex Analysis (Princeton Lectures in Analysis, No. 2) 作者:STEIN 出版社:PRINCETON 出版日期:2003/04/07 ISBN:9780691113852
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