Basic real analysis
Cornerstones of Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, …
Cornerstones of Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established. This work presents a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features: • Early chapters treat the fundamentals of real variables, the theory of Fourier series for the Riemann integral, and the theoretical underpinnings of multivariable calculus and differential equations • Subsequent chapters develop measure theory, point-set topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces • Later chapters provide a higher-level view of the interaction between real analysis and algebra, including functional analysis, partial differential equations, and further topics in Fourier analysis • Throughout the text are problems that develop and illuminate aspects of the theory of probability • Includes many examples and hundreds of problems, and a chapter gives hints or complete solutions for most of the problems.
Ebook rating average
Related Books to : Basic real analysis
- Calculus made easy: being a very-simplest introduction to those beautiful methods of reckoning which are generally called by the terrifying names of the differential calculus and the integral calculus – Silvanus P. Thompson
- Basics for Linear Algebra for Machine Learning – Discover the Mathematical Language of Data in Python – Jason Brownlee
Related PDF Documents
Contact their sites if you have any question about their content.
Limit Point (or Accumulation Point or Cluster Point):. If .xn/ is a sequence of real numbers and x is a real number, we say x is a limit point. (or accumulation point...
Basic Elements of Real Analysis provides, in a brief and elementary way, the most important topics in the subject. The first chapter, which deals with the real...