Mathematical Analysis: Functions of Several Real Variables and Applications

This textbook covers mathematical analysis, including classical tools, metric spaces, ordinary differential equations, implicit function, and more. It is written by expert lecturers and is suitable for graduate or undergraduate honors students in mathematics, physics, astronomy, computer science, statistics, and probability. The agile organization of the subject matter helps instructors determine which parts to present during lectures.

Format: Paperback / softback
Length: 675 pages
Publication date: 02 January 2023
Publisher: Springer International Publishing AG

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that textbooks.
This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that textbooks.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals, fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynom. polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynom, polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that.

This comprehensive textbook on Mathematical Analysis, authored by esteemed experts in the field, offers a thorough and in-depth exploration of the subject. Beyond the traditional tools of differentiation and integration, it delves into various advanced topics, including the Ascoli-Arzelà theorem, the regularity of convex functions in metric spaces, ordinary differential equations, implicit function theory, and more. These cutting-edge concepts are of paramount importance in modern Mathematical Analysis. Additionally, the book covers essential theorems such as the Weierstrass theorem on polynomial approximation of continuous functions, Peano's existence theorem for nonlinear ODEs and systems under general assumptions, and more. The content is presented in a straightforward manner, allowing students to grasp the fundamentals before delving into more intricate perspectives. The textbook's well-organized structure facilitates instructors in selecting the most relevant sections for lectures, ensuring a seamless and effective teaching experience. While the authors recognize that.

Weight: 1100g
Dimension: 236 x 155 x 37 (mm)
ISBN-13: 9783031041501
Edition number: 1st ed. 2022