This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics asdifferential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions. Especially notable inthis course is the clearly expressed orientation toward the natural sciences and its informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems and fresh applications to areas seldom touched on in real analysis books. The first volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus elucidated in an up-to-day, clear manner, with a pleasant geometric flavor. The thoroughness of the coverage, from elementary to very advanced The clarity of the exposition The originality and variety of the exercises and examples Especiallygood for physics students INDICE: Prefaces.- 1. Some General Mathematical Concepts and Notation.- 2.The Real Numbers.- 3. Limits.- 4. Continuous Functions.- 5. Differential Calculus.- 6. Integration.- 7. Functions of Several Variables.- 8. Differential Calculus in Several Variables.- Some Problems from the Midterm Examinations.- Examination Topics.- References.- Subject Index.- Name Index.
- ISBN: 978-3-540-87451-5
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 574
- Fecha Publicación: 01/11/2008
- Nº Volúmenes: 1
- Idioma: Inglés