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Master Algebraic Microlocal Analysis with Fundamentals: Delve into the Heart of Pure Mathematics

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Fundamentals of Algebraic Microlocal Analysis (Chapman Hall/CRC Pure and Applied Mathematics 217)

Fundamentals of Algebraic Microlocal Analysis (Chapman & Hall/CRC Pure and Applied Mathematics Book 217)

by Goro Kato

5 out of 5

Language	:	English
File size	:	15962 KB
Screen Reader	:	Supported
Print length	:	316 pages

Embark on an enlightening journey into the captivating world of algebraic microlocal analysis with the groundbreaking book, "Fundamentals of Algebraic Microlocal Analysis." This comprehensive guide unlocks the intricacies of this advanced mathematical discipline, empowering researchers and students to unravel the mysteries of singularities and partial differential equations.

Unveiling the Enigma of Singularities

Singularities, enigmatic points where mathematical functions exhibit anomalous behavior, hold profound significance in various scientific fields. "Fundamentals of Algebraic Microlocal Analysis" delves into the study of singularities, providing a rigorous framework to analyze and classify these mathematical anomalies.

Through its meticulously crafted chapters, this book unveils the Fourier integral operator calculus, a powerful tool for investigating singularities. Readers will learn to construct and manipulate these operators, gaining a deeper understanding of the local behavior of functions and distributions.

Taming Partial Differential Equations

Partial differential equations (PDEs) govern a vast array of physical phenomena, from fluid dynamics to quantum mechanics. "Fundamentals of Algebraic Microlocal Analysis" equips readers with the analytical tools to tackle these complex equations.

The book introduces the theory of pseudodifferential operators, a generalization of differential operators that extends their applicability to a wider class of functions. Readers will delve into the study of elliptic, hyperbolic, and parabolic PDEs, gaining insights into their well-posedness and regularity properties.

A Gateway to Advanced Research

For researchers seeking to push the boundaries of algebraic microlocal analysis, "Fundamentals of Algebraic Microlocal Analysis" serves as an indispensable foundation. Its in-depth coverage of advanced topics, such as:

Wave front sets and microlocal analysis
The theory of distributions
Quantization and deformation quantization

provides a springboard for further exploration and discovery.

An Invaluable Resource for Students

Students pursuing advanced degrees in mathematics will find "Fundamentals of Algebraic Microlocal Analysis" an invaluable resource. Its clear and concise exposition, coupled with numerous exercises and examples, fosters a deep understanding of the subject.

The book's comprehensive coverage aligns with graduate-level curricula, making it an essential companion for students seeking to master algebraic microlocal analysis.

About the Author

Renowned mathematician and leading expert in algebraic microlocal analysis, Dr. Author Name, brings a wealth of knowledge and pedagogical expertise to "Fundamentals of Algebraic Microlocal Analysis." Dr. Name's passion for the subject shines through in the book's lucid explanations and insightful discussions.

"Fundamentals of Algebraic Microlocal Analysis" is an indispensable resource for researchers, students, and anyone seeking to delve into the intricacies of this captivating mathematical field. Its rigorous approach, comprehensive coverage, and engaging exposition make it the definitive guide to unlocking the mysteries of singularities and partial differential equations.

Free Download your copy today and embark on an extraordinary journey into the heart of pure mathematics!

Fundamentals Of Algebraic Microlocal Analysis Book Cover Fundamentals Of Algebraic Microlocal Analysis (Chapman Hall/CRC Pure And Applied Mathematics 217)