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書名:Quantum Electrodynamics 2/e Course of Theoretical Physics Vol:4 作者:BERESTETSKII 出版社:HB ISBN:9780750633710
詳細資訊
書名:Quantum Electrodynamics 2/e Course of Theoretical Physics Vol:4 作者:BERESTETSKII 出版社:HB ISBN:9780750633710
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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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Fourier Analysis—An Introduction 系列名:Princeton Lectures in Analysis, Volume 1 ISBN13:9780691113845 替代書名:Fourier Analysis 出版社:Princeton Univ Pr 作者:Elias M. Stein; Rami Shakarchi 裝訂:精裝 規格:24.1cm*16.5cm*1.9cm (高/寬/厚) 出版日:2003/03/17 內容簡介 This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
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書名:Real Analysis: Measure Theory, Integration, And Hilbert Spaces 作者:STEIN 出版社:PRINCETON 出版日期:2005/03/14 ISBN:9780691113869
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【原文書】 書名:ABSTRACT ALGEBRA 3/E 作者:DUMMIT 出版社:JOHN WILEY 出版日期:2003/07/01 ISBN:9780471433347
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<姆斯>Functional Analysis: Introduction to Further Topics in Analysis 2011 (PRINCETON) 978-0-691-11387-6 STEIN 9780691113876
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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
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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
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An Introduction to Analysis 4/e +作者:Wade +年份:2022 年4 版 +ISBN:9781292357874 +書號:MA0498P +規格:平裝/單色 +頁數:696 +出版商:Pearson(Asia 目錄 Part I. ONE-DIMENSIONALTHEORY 1. The Real Number System 2. Sequences in R 3. Functions on R 4. Differentiability on R 5. Integrability on R 6. Infinite Series of Real Numbers 7. Infinite Series of Functions Part II. MULTIDIMENSIONAL THEORY 8. Euclidean Spaces 9. Convergence in Rn 10. Metric Spaces 11. Differentiability on Rn 12. Integration on Rn 13. Fundamental Theorems of Vector Calculus 14. Fourier Series Appendices A. Algebraic laws B. Trigonometry C. Matrices and determinants D. Quadric surfaces E. Vector calculus and physics F. Equivalence relations Answers and Hints to Selected Exercises
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We are pleased by the positive resonance of our book which now necessitates a fourth edition. We have used this opportunity to implement corrections of misprints and amendments at several places, and to extend and improve the discussion of many of the exercises and examples. We hope that our presentation of the method of equivalent photons (Example 3. 17), the form factor of the electron (Example 5. 7), the infrared catastrophe (Example 5. 8) and the energy shift of atomic levels (Example 5. 9)arenow even better to understand. The new Exercise 5. 10 shows in detail how to arrive at the non-relativistic limit for the calculation of form factors. Moreover, we have brought up-to-date the Biographical Notes about physicists who have contributed to the dev- opment of quantum electrodynamics, and references to experimental tests of the t- ory. For example, there has been recent progress in the determination of the electric and magnetic form factors of the proton (discussed in Exercise 3. 5 on the Rosenbluth formula) and the Lamb shift of high-Z atoms (discussed in Example 5. 9 on the energy shift of atomic levels), while the experimental veri cation of the birefringence of the QED vacuum in a strong magnetic eld (Example 7. 8) remains unsettled and is a topic of active ongoing research.
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書名:Quantum Field Theory II: Quantum Electrodynamics 作者:ZEIDLER 出版社:SPRINGER ISBN:9783540853763
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