Mathematical Analysis : An Introduction to Functions of Several Variables

This text introduces basic ideas, structures, and results of differential and integral calculus for functions of several variables. The presentation is engaging and motivates the reader with numerous examples, remarks, illustrations, and exercises. Mathematical Analysis: An Introduction to Functions...

Full description

Main Authors: Giaquinta, Mariano, Modica, Giuseppe (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser Boston 2009, 2009
Edition:1st ed. 2009
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 03391nmm a2200397 u 4500
001 EB000357312
003 EBX01000000000000000210364
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9780817646127 
100 1 |a Giaquinta, Mariano 
245 0 0 |a Mathematical Analysis  |h Elektronische Ressource  |b An Introduction to Functions of Several Variables  |c by Mariano Giaquinta, Giuseppe Modica 
250 |a 1st ed. 2009 
260 |a Boston, MA  |b Birkhäuser Boston  |c 2009, 2009 
300 |a XII, 348 p. 105 illus  |b online resource 
505 0 |a Differential Calculus -- Integral Calculus -- Curves and Differential Forms -- Holomorphic Functions -- Surfaces and Level Sets -- Systems of Ordinary Differential Equations 
653 |a Calculus of Variations and Optimal Control; Optimization 
653 |a Measure theory 
653 |a Measure and Integration 
653 |a Functions of complex variables 
653 |a Mathematical analysis 
653 |a Analysis 
653 |a Several Complex Variables and Analytic Spaces 
653 |a Analysis (Mathematics) 
653 |a Ordinary Differential Equations 
653 |a Calculus of variations 
653 |a Differential equations 
700 1 |a Modica, Giuseppe  |e [author] 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
856 |u https://doi.org/10.1007/978-0-8176-4612-7?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515 
520 |a This text introduces basic ideas, structures, and results of differential and integral calculus for functions of several variables. The presentation is engaging and motivates the reader with numerous examples, remarks, illustrations, and exercises. Mathematical Analysis: An Introduction to Functions of Several Variables may be used in the classroom setting for advanced undergraduate and graduate students or as a self-study. It is also a valuable reference for researchers in most mathematical disciplines. An appendix highlights mathematicians and scientists who have made important contributions in the development of theories in the subject. Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, Mathematical Analysis: Approximation and Discrete Processes, and Mathematical Analysis: Linear and Metric Structures and Continuity, all of which provide the reader with a strong foundation in modern-day analysis. Reviews of previous volumes in Mathematical Analysis: The presentation of the theory is clearly arranged, all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requirements. . . . This book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties. —Journal of Analysis and its Applications The exposition requires only a sound knowledge of calculus and the functions of one variable. A key feature this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations. —Zentralblatt MATH.