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＜電子ブック＞
Calculus of One Variable / by M. Thamban Nair

版	2nd ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
本文言語	英語
大きさ	XIX, 340 p. 43 illus., 32 illus. in color : online resource
著者標目	*Nair, M. Thamban author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Engineering mathematics LCSH:Mathematical analysis FREE:Calculus of Variations and Optimization FREE:Engineering Mathematics FREE:Analysis
一般注記	Sequence and Series of Real Numbers -- Limit, Continuity and Differentiability of Functions -- Definite Integral -- Improper Integrals -- Sequence and Series of Functions -- Fourier Series -- References -- Index The book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics. The first edition of this book was published in 2015. As there is a demand for the next edition, it is quite natural to take note of the several suggestions received from the users of the earlier edition over the past six years. This is the prime motivation for bringing out a revised second edition with a thorough revision of all the chapters. The book provides a clear understanding of the basic concepts of differential and integral calculus starting with the concepts of sequences and series of numbers, and also introduces slightly advanced topics such as sequences and series of functions, power series, and Fourier series which would be of use for other courses in mathematics for science and engineering programs. The salient features of the book are - precise definitions of basic concepts; several examples for understanding the concepts and for illustrating the results; includes proofs of theorems; exercises within the text; a large number of problems at the end of each chapter as home-assignments. The student-friendly approach of the exposition of the book would be of great use not only for students but also for the instructors. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in a mathematics course. HTTP:URL=https://doi.org/10.1007/978-3-030-88637-0

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