Get Advanced Calculus: A Geometric View (Undergraduate Texts in PDF

By James J. Callahan

With a clean geometric process that includes greater than 250 illustrations, this textbook units itself except all others in complex calculus.  along with the classical capstones--the switch of variables formulation, implicit and inverse functionality theorems, the imperative theorems of Gauss and Stokes--the textual content treats different vital issues in differential research, similar to Morse's lemma and the Poincaré lemma.  the tips at the back of such a lot issues might be understood with simply or 3 variables.  The ebook accommodates smooth computational instruments to offer visualization actual power.  utilizing 2nd and 3D images, the ebook deals new insights into basic parts of the calculus of differentiable maps.  The geometric topic keeps with an research of the actual which means of the divergence and the curl at a degree of element now not present in different complicated calculus books.  it is a textbook for undergraduates and graduate scholars in arithmetic, the actual sciences, and economics.  must haves are an creation to linear algebra and multivariable calculus.  there's sufficient fabric for a year-long direction on complicated calculus and for numerous semester courses--including subject matters in geometry.  The measured speed of the publication, with its large examples and illustrations, make it in particular compatible for self sufficient study.

Show description

Read or Download Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) PDF

Best calculus books

Cauchy’s Cours d’analyse (Sources and Studies in the History - download pdf or read online

In 1821, Augustin-Louis Cauchy (1789-1857) released a textbook, the Cours d’analyse, to accompany his direction in research on the Ecole Polytechnique. it's some of the most influential arithmetic books ever written. not just did Cauchy offer a conceivable definition of limits and a way to lead them to the root of a rigorous thought of calculus, yet he additionally revitalized the concept that all arithmetic may be set on such rigorous foundations.

Seshadev Padhi,John R. Graef,P. D. N. Srinivasu's Periodic Solutions of First-Order Functional Differential PDF

This ebook offers state of the art effects at the life of a number of optimistic periodic ideas of first-order practical differential equations. It demonstrates how the Leggett-Williams fixed-point theorem might be utilized to check the lifestyles of 2 or 3 confident periodic recommendations of practical differential equations with real-world purposes, relatively with reference to the Lasota-Wazewska version, the Hematopoiesis version, the Nicholsons Blowflies version, and a few versions with Allee results.

Carla C. Morris,Robert M. Stark's Fundamentals of Calculus PDF

Positive factors the recommendations, tools, and functions of calculus utilizing real-world examples from enterprise and economics in addition to the lifestyles and social sciences An advent to differential and quintessential calculus, basics of Calculus offers key issues suited to quite a few readers in fields starting from entrepreneurship and economics to environmental and social sciences.

Download e-book for iPad: Hyperbolic Equations and Related Topics: Proceedings of the by Sigeru Mizohata

Hyperbolic Equations and similar issues covers the lawsuits of the Taniguchi overseas Symposium, held in Katata, Japan on August 27-31, 1984 and in Kyoto, Japan on September 3-5, 1984. The ebook makes a speciality of the mathematical analyses occupied with hyperbolic equations. the choice first elaborates on complicated vector fields; holomorphic extension of CR features and comparable difficulties; moment microlocalization and propagation of singularities for semi-linear hyperbolic equations; and scattering matrix for 2 convex stumbling blocks.

Additional info for Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics)

Sample text

Download PDF sample

Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) by James J. Callahan


by Paul
4.5

Rated 4.47 of 5 – based on 44 votes