Modern Mathematics Fundamentals (Second Edition. Graduate Textbook for Higher Education)

Author: Lu Qishao, Editor-in-Chief
Publisher:
Publish Date: 2005-09-01
Features: This book is an introductory textbook on modern mathematics, focusing on introducing the fundamental concepts and methods of important modern foundational and applied mathematics branches closely related to science and technology. It aims to lay a solid foundation for further in-depth learning and application of modern mathematical knowledge. The book primarily covers six aspects: modern algebra and topology, functional analysis, differential geometry, modern theories of partial differential equations, wavelet analysis, and stochastic differential equations. The first three chapters introduce the fundamental content of modern foundational mathematics from the perspectives of algebra, geometry, and analysis, while the last three chapters cover modern applied mathematics content closely related to modern technology. These topics not only hold significant positions in the field of mathematical science but are also widely applied in various scientific and technological disciplines. The book draws from a broad range of materials, emphasizes fundamentals, has a well-structured layout, is easy to understand yet profound, and is highly practical. It can serve as a modern mathematics textbook or reference for graduate students in science and engineering (especially Ph.D. students in engineering), as well as for senior undergraduate students, teachers, and scientific and technological professionals for self-study and reference.