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Mathematical Analysis II (UNITEXT Book 85) 🔍
Claudio Canuto, Anita Tabacco (auth.) Springer International Publishing : Imprint : Springer, Unitext - La Matematica per il 3+2, 2, 2015
英语 [en] · PDF · 13.6MB · 2015 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/upload/zlib · Save
描述
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The bookℓ́ℓs structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis
备用文件名
nexusstc/Mathematical Analysis II/bc55656c6f2df357df28c26e07ab7ac2.pdf
备用文件名
lgli/Mathematical Analysis II - Claudio Canuto, Anita Tabacco (auths.) - 2e - 2015 - Springer - 331912756X.pdf
备用文件名
lgrsnf/Mathematical Analysis II - Claudio Canuto, Anita Tabacco (auths.) - 2e - 2015 - Springer - 331912756X.pdf
备用文件名
scihub/10.1007/978-3-319-12757-6.pdf
备用文件名
zlib/Mathematics/Claudio Canuto, Anita Tabacco (auth.)/Mathematical Analysis II_2516066.pdf
备选作者
C Canuto; Anita Maria Tabacco Vignati
备选作者
Canuto, Claudio, Tabacco, Anita
备用出版商
Springer International Publishing AG
备用出版商
Springer Nature Switzerland AG
备用版本
Springer Nature (Textbooks & Major Reference Works), Cham, 2015
备用版本
La Matematica per il 3+2, 2nd ed. 2015, Cham, 2015
备用版本
Universitext, Second edition, Cham, 2015
备用版本
Unitext, 85, Second edition, Cham, 2015
备用版本
UNITEXT, UNITEXT 85, 2, 2015
备用版本
Switzerland, Switzerland
备用版本
2nd ed. 2015, 2014
备用版本
Oct 31, 2014
元数据中的注释
0
元数据中的注释
sm37065699
元数据中的注释
producers:
Acrobat Distiller 9.0.0 (Windows)
元数据中的注释
{"container_title":"UNITEXT","edition":"2","isbns":["331912756X","3319127578","9783319127569","9783319127576"],"issns":["2038-5714"],"last_page":559,"publisher":"Springer","series":"UNITEXT 85"}
元数据中的注释
Source title: Mathematical Analysis II (UNITEXT (85))
备用描述
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to graspthe essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.
Erscheinungsdatum: 31.10.2014
备用描述
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The bookĺls structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis
备用描述
The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of the material contained in the appendices, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a first course of Mathematics
备用描述
Front Matter....Pages I-XIII
Numerical series....Pages 1-32
Series of functions and power series....Pages 33-74
Fourier series....Pages 75-109
Functions between Euclidean spaces....Pages 111-154
Differential calculus for scalar functions....Pages 155-200
Differential calculus for vector-valued functions....Pages 201-259
Applying differential calculus....Pages 261-296
Integral calculus in several variables....Pages 297-365
Integral calculus on curves and surfaces....Pages 367-420
Ordinary differential equations....Pages 421-507
Back Matter....Pages 509-559
开源日期
2015-03-24
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