Intermediate Calculus
Author: Murray H. Protter
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 665
ISBN-13: 1461210860
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Advanced Calculus (Revised Edition)
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
Published: 2014-02-26
Total Pages: 595
ISBN-13: 9814583952
DOWNLOAD EBOOKAn 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.
Intermediate Microeconomics with Calculus: A Modern Approach
Author: Varian, Hal R.
Publisher: W.W. Norton & Company
Published: 2016-04-29
Total Pages: 13
ISBN-13: 0393690016
DOWNLOAD EBOOKFrom Google's chief economist, Varian's best-selling intermediate microeconomics texts are revered as some of the best in the field. And now students can work problems online with Smartwork5, Norton's online homework system, packaged at no additional charge with the Media Update Editions. In addition to online homework, the texts now include four-color graphs and new interactive animations.
An Introduction to Multivariable Mathematics
Author: Leon Simon
Publisher: Morgan & Claypool Publishers
Published: 2008-07-08
Total Pages: 142
ISBN-13: 159829802X
DOWNLOAD EBOOKThe text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book 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 the first 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. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students. Table of Contents: Linear Algebra / Analysis in R / More Linear Algebra / More Analysis in R / Appendix: Introductory Lectures on Real Analysis
A Short Course in Intermediate Microeconomics with Calculus
Author: Roberto Serrano
Publisher: Cambridge University Press
Published: 2012-11-30
Total Pages: 397
ISBN-13: 1107017343
DOWNLOAD EBOOKThis 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.
Advanced Calculus
Author: Frederick Shenstone Woods
Publisher:
Published: 1926
Total Pages: 420
ISBN-13:
DOWNLOAD EBOOKAdvanced Calculus
Author: Patrick Fitzpatrick
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 610
ISBN-13: 0821847910
DOWNLOAD EBOOK"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.
A Problems Based Course in Advanced Calculus
Author: John M. Erdman
Publisher: American Mathematical Soc.
Published: 2018-07-09
Total Pages: 384
ISBN-13: 1470442469
DOWNLOAD EBOOKThis 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.
Advanced Calculus with Applications
Author: Nicholas J. DeLillo
Publisher: MacMillan
Published: 1982
Total Pages: 844
ISBN-13:
DOWNLOAD EBOOKAdvanced Calculus, An Introduction To Mathematical Analysis
Author: Samuel Zaidman
Publisher: World Scientific
Published: 1997-08-05
Total Pages: 180
ISBN-13: 9814498831
DOWNLOAD EBOOKThis book is an introduction to mathematical analysis (i.e real analysis) at a fairly elementary level. A great (unusual) emphasis is given to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the usual presentation of: sequences of real numbers, infinite numerical series, continuous functions, derivatives and Riemann-Darboux integration. There are also two “special” sections: on convex functions and on metric spaces, as well as an elementary appendix on Logic, Set Theory and Functions. We insist on a rigorous presentation throughout in the framework of the classical, standard, analysis.
