Mathematical Analysis II by Elias Zakon
Book Contents :-
6. Differentiation on En and Other Normed Linear Spaces
7. Volume and Measure
8. Measurable Functions. Integration
9. Calculus Using Lebesgue Theory
About this book :-
"Mathematical Analysis II" by "Elias Zakon" continues the author’s classic exploration of "real analysis", building on the foundations established in the first volume. This book expands into advanced topics such as multivariable calculus, vector spaces, and higher-dimensional analysis, offering a clear and logical extension of single-variable theory. It’s designed for advanced undergraduate and graduate students who want a deeper understanding of rigorous mathematical reasoning.
The text covers essential topics like differentiation and integration in several variables, Taylor’s theorem, and key results such as the implicit and inverse function theorems. It also introduces important principles of "functional analysis", including the Open Mapping Theorem and the Uniform Boundedness Principle. Each chapter is supported by challenging exercises that encourage proof development and conceptual mastery.
Zakon’s precise and accessible writing style makes "Mathematical Analysis II" a timeless resource for anyone studying "advanced calculus" and real analysis. His structured approach helps bridge the gap between classical analysis and modern mathematical theory, making this volume a perfect continuation for students seeking a rigorous yet clear understanding of higher-level mathematics.
Book Detail :-
Title:
Mathematical Analysis II by Elias Zakon
Publisher:
Trillia Group
Year:
2009
Pages:
424
Type:
PDF
Language:
English
ISBN-10 #:
1931705038
ISBN-13 #:
License:
CC BY 3.0
Amazon:
Amazon
About Author :-
The author
Elias Zakon
(1910–1993) was a renowned mathematician and educator known for his expertise in "mathematical analysis" and "real analysis". He taught at the University of Windsor in Canada, where his clear and rigorous teaching style inspired many students. Zakon authored the two-volume series "Mathematical Analysis I" and "II", which remain classic resources for advanced calculus and analysis studies. His logical approach and commitment to open education made his works valuable for learners worldwide, shaping the foundation of modern mathematical teaching.
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