Real and Functional Analysis by A Mukherjea
This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some analysis as given in a book similar to Apostol's Mathematical Analysis. t This book treats in sufficient detail most relevant topics in the area of real and functional analysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory. " For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class. Specifically the following alternatives are available: (a) A one-year course on "Measure and Integration" utilizing Chapters 1 (Sections l. l-1. 3 and 1. 6), 2, 3, 4, portions of 5 (information on Lp spaces), and portions of 7 (left to the discretion of the teacher). (b) A one-year course in "Functional Analysis" utilizing Chapters 1 (Sections 1. 4-1. 6), 5, 6, 7 (Sections 7. 4 and 7. 6), and the Ap pendix. t T. M. Apostol, Mathematical Analysis, 2nd ed. , Addison-Wesley (1974).-
Problems and Methods of Optimal Structural Design
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Principles of Optimal Control Theory
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Multicriteria Optimization in Engineering and in the Sciences
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Optimal Control of Distributed Nuclear Reactors
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Structural Optimization
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Control, Identification, and Input Optimization
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Applied Optimal Control Theory of Distributed Systems
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Multicriteria Decision Making and Differential Games
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Unified Plasticity for Engineering Applications
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Nonlinear Effects in Fluids and Solids
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Constrained Optimization and Image Space Analysis
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Advanced Design Problems in Aerospace Engineering
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Principles and Procedures of Numerical Analysis
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Principles of Engineering Mechanics
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Optimal Control Applications in Electric Power Systems
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Applications of Functional Analysis in Engineering
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Mathematical Principles of Mechanics and Electromagnetism
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Applied Mathematics in Aerospace Science and Engineering
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Theory and Applications of Partial Differential Equations
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Integral Transforms in Science and Engineering
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Solution Methods for Integral Equations
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Applied Probability
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Introduction to the Laplace Transform
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The Calculus of Variations and Optimal Control
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Numerical Solution of Integral Equations
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Mathematical Logic
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Dynamical Systems and Evolution Equations
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Advances in Geometric Programming
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Differential Equations with Small Parameters and Relaxation Oscillations
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Topology and Maps
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Dynamic Optimization and Mathematical Economics
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Applied Mathematics
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Numerical Derivatives and Nonlinear Analysis
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Optimal Long-Term Operation of Electric Power Systems
| SKU | Unavailable |
| ISBN 13 | 9781468423334 |
| ISBN 10 | 1468423339 |
| Title | Real and Functional Analysis |
| Author | A Mukherjea |
| Series | Mathematical Concepts And Methods In Science And Engineering |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2013-12-21 |
| Number of pages | 529 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |