Applied Functional Analysis, Second Edition (Textbooks in Mathematics)
| Author | : | |
| Rating | : | 4.99 (842 Votes) |
| Asin | : | 084932551X |
| Format Type | : | paperback |
| Number of Pages | : | 672 Pages |
| Publish Date | : | 2014-12-07 |
| Language | : | English |
DESCRIPTION:
"Excellent book for engineers seeking to learn mathematics" according to Kumar Vemaganti (kumar@ticam.utexas.edu). Written by two experts in the area of computational and applied mathematics, this book is ideal for first/second year graduate students in engineering who wish to use concepts from functional analysis in their work. On one hand, the treatment is mathematically precise and yet the authors use their extensive engineering experience to present examples that are highly intuitive. The introduction is greatly self-contained and serves as an appetizer for further chapters. Having worked in matrix methods for . Discussions are a bit convoluted. I took Functional Analysis from professor Demkowicz. Actually the course is a misnomer, since you learn very little functional analysis and quite a bit more about set theory, Lebesgue measure theory, and topology (through Ch. Discussions are a bit convoluted. J. W. Peterson I took Functional Analysis from professor Demkowicz. Actually the course is a misnomer, since you learn very little functional analysis and quite a bit more about set theory, Lebesgue measure theory, and topology (through Ch. 4 in the book). While I feel that the book is very meticulously written, it tries to cover in too much detail everything starting from the most basic laws of logic. The proofs and explanations are concise and clear but for my taste I also appreciate a bit of "plain English" explan. in the book). While I feel that the book is very meticulously written, it tries to cover in too much detail everything starting from the most basic laws of logic. The proofs and explanations are concise and clear but for my taste I also appreciate a bit of "plain English" explan. UNPINGCO said A very good first book on functional analysis.. A very good first book on functional analysis. The book starts with preliminary set theory, logic, functions, and concepts of abstract algebra and moves on to the big convergence theorems in the Lebesgue integration and onto topological and metric spaces. The book ends with basic theory of Hilbert space. Each section concludes with exercises. The author takes great pains to include a lot of detail in the proofs. I would recommend this book to an advanced undergraduate or beginning graduate student.
This new treatment of a classic subject outfits engineering and science majors with a graduate-level mathematics standing, otherwise accessible only through regular mathematics studies.. Applied Functional Analysis, the only textbook of its kind, is designed specifically for the graduate student in engineering and science who has little or no training in advanced mathematics. Functional analysis-the study of the properties of mathematical functions-is widely used in modern scientific and engineering disciplines, particularly in mathematical modeling and computer simulation. This self-contained presentation requires few mathematical prerequisites and provides students with the fundamental concepts and theorems essential to mathematical analysis and modeling.Applied Functional Analysis combines various principles of mathematics, computer science, engineering, and science, laying the foundation for further specialty work i