Intermediate Calculus PDF Download

Author: Murray H. Protter
Publisher: Springer Science & Business Media
ISBN: 1461210860
Category : Mathematics
Languages : en
Pages : 665

View

Book Description

Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595

View

Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Author: Leon Simon
Publisher: Morgan & Claypool Publishers
ISBN: 1598298011
Category : Algebras, Linear
Languages : en
Pages : 143

View

Book Description
The core material of this text is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds.

Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 420

View

Book Description

Author: Hal R. Varian
Publisher: John Wiley & Sons
ISBN:
Category : Business & Economics
Languages : en
Pages : 0

View

Book Description
The #1 text is still the most modern presentation of the subject and gives students tools to develop the problem-solving skills they need for the course, and beyond.

Author: Roberto Serrano
Publisher: Cambridge University Press
ISBN: 1107017343
Category : Business & Economics
Languages : en
Pages : 397

View

Book Description
This is a textbook for an intermediate level course in microeconomics that uses calculus throughout. Most of the competition either uses no calculus or relegates the math to footnotes and appendices. The text also focuses on theory rather than empirical data. To motivate the analysis, the authors include references to real events and firms, with no distracting separate boxes.

Author: Patrick Fitzpatrick
Publisher: American Mathematical Soc.
ISBN: 0821847910
Category : Mathematics
Languages : en
Pages : 610

View

Book Description
"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.

Author: John M. Erdman
Publisher: American Mathematical Soc.
ISBN: 1470442469
Category : Mathematics
Languages : en
Pages : 384

View

Book Description
This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.

Author: C. H. Edwards
Publisher: Academic Press
ISBN: 1483268055
Category : Mathematics
Languages : en
Pages : 470

View

Book Description
Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

Author: Ellen F. Buck
Publisher:
ISBN: 9780070850767
Category : Calculus
Languages : en
Pages : 622

View

Book Description