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Advanced Calculus of a Single Variable
Engelsk
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Specifikationer
Sprog:
Engelsk
Sider:
382
ISBN-13:
9783319278063
Indbinding:
Hardback
Udgave:
ISBN-10:
3319278061
Udg. Dato:
8 apr 2016
Længde:
28mm
Bredde:
247mm
Højde:
165mm
Forlag:
Springer International Publishing AG
Oplagsdato:
8 apr 2016
Forfatter(e):

Advanced Calculus of a Single Variable

Engelsk
Hardback
Format:

Om denne bog
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L''Hôpital''s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). 

Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.




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516 kr
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Specifikationer
Sprog:
Engelsk
Sider:
382
ISBN-13:
9783319278063
Indbinding:
Hardback
Udgave:
ISBN-10:
3319278061
Udg. Dato:
8 apr 2016
Længde:
28mm
Bredde:
247mm
Højde:
165mm
Forlag:
Springer International Publishing AG
Oplagsdato:
8 apr 2016
Forfatter(e):
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