Tools and Problems in Partial Differential Equations

This textbook provides a unique learning-by-doing introduction to partial differential equations, covering advanced topics in microlocal analysis and classical equations. It is self-contained and begins with problems on functional analysis, distributions, and functional spaces. It is ideal for graduate students and researchers who want to gain real-world knowledge of the subject.

\n Format: Paperback / softback
\n Length: 357 pages
\n Publication date: 20 October 2020
\n Publisher: Springer Nature Switzerland AG
\n

This comprehensive textbook provides a distinctive learning approach to the modern theory of partial differential equations. With an extensive array of 65 fully solved problems, it offers readers a rapid yet comprehensive introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, as well as key classical equations such as the Laplace, Schrödinger, or Navier-Stokes equations. Designed to be self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter, the problems are preceded by a summary of the relevant results of the theory.

Informed by the authors' extensive research experience and years of teaching, this book is an invaluable resource for graduate students and researchers seeking to gain a deep understanding of the subject. It serves as a valuable guide for those embarking on research in mathematical physics, applied mathematics, and other related fields.

The book's clear and concise writing style, accompanied by detailed explanations and illustrative examples, makes it accessible to students with a range of backgrounds, including those with a strong foundation in mathematics and those who are new to the subject. Its comprehensive coverage of key topics and practical applications ensures that readers will have a solid grasp of the fundamentals and be able to apply them to real-world problems.

Whether you are a student, researcher, or professional seeking to expand your knowledge in partial differential equations, this textbook is an essential tool for your academic journey. Its innovative approach to learning and its wealth of practical examples make it a valuable addition to any library.

\n Weight: 578g\n
Dimension: 155 x 233 x 27 (mm)\n
ISBN-13: 9783030502836\n
Edition number: 1st ed. 2020\n