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Titlebook: Mathematical Methods; For Students of Phys Sadri Hassani Textbook 20001st edition Springer Science+Business Media New York 2000 Algebra.Ari

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发表于 2025-3-21 19:10:33 | 显示全部楼层 |阅读模式
书目名称Mathematical Methods
副标题For Students of Phys
编辑Sadri Hassani
视频video
概述Includes many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts.Broad scope will be useful for students acr
丛书名称Undergraduate Texts in Contemporary Physics
图书封面Titlebook: Mathematical Methods; For Students of Phys Sadri Hassani Textbook 20001st edition Springer Science+Business Media New York 2000 Algebra.Ari
描述.Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics....This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms....Some praise for the previous edition:.."The book has many strengths. For example: Each chapter starts with a preamble that puts the chapters in context. Often, the author uses physical examples to motivate definitions, illustrate relationships, or culminate the development of particular mathematical strands. The use of Maxwell‘s equations to cap the presentation of vector calculus, a dis
出版日期Textbook 20001st edition
关键词Algebra; Arithmetic; Complex arithmetic and complex analysis; Differentiation and integration; Dirac del
版次1
doihttps://doi.org/10.1007/978-0-387-21562-4
isbn_ebook978-0-387-21562-4
copyrightSpringer Science+Business Media New York 2000
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Nonlinear Dynamics and Chaos,rom the DEs describing the whole solar system as was possible. The result was the invention of one of the most powerful branches of mathematics (topology) and the realization that the . analysis of (nonlinear) DEs could be very useful.
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Differential Equations,of the functions at the neighboring point to be predicted. Once the values of the functions are determined at the new point, their values can be predicted for its neighboring points, and the process can continue until a distant point is reached.
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Integrals and Series as Functions, universe itself—that of differential equations. All these concepts, in particular integration and differential equation, had a dramatic influence on the notion of functions. The aim of this chapter is to give the reader a flavor of the variety of functions made possible by integration and differential equations..
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Vectors,ctors. In this chapter, we shall study this generalization in its limited form, i. e., only in an . context. Although the . of vectors is discussed in Chapter 8, it is confined to vectors in space. The analysis of generalized vectors is the subject of differential geometry and functional analysis that are beyond the scope of this book..
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Vector Analysis,yses in our treatment of the integration of vectors as in calculating electric, magnetic, and gravitational fields. However, vector analysis goes beyond simple vector integration. Vectors have a far richer structure than ordinary numbers, and, therefore, allow a much broader range of concepts.
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