Advanced Calculus Primary Source Edition

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Advanced Calculus (Revised Edition)

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Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Calculus with Applications in Statistics

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Author : André I. Khuri
Publisher : John Wiley & Sons
ISBN 13 : 0471461628
Total Pages : 704 pages
Book Rating : 4.4/5 (714 download)

Book Synopsis Advanced Calculus with Applications in Statistics by : André I. Khuri

Download or read book Advanced Calculus with Applications in Statistics written by André I. Khuri and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.

Advanced Calculus

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Author : Angus Ellis Taylor
Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Advanced Calculus by : Angus Ellis Taylor

Download or read book Advanced Calculus written by Angus Ellis Taylor and published by . This book was released on 1972 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions.

Advanced Calculus

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Author : Frederick Shenstone Woods
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (5 download)

Book Synopsis Advanced Calculus by : Frederick Shenstone Woods

Download or read book Advanced Calculus written by Frederick Shenstone Woods and published by . This book was released on 1926 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Calculus

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Author : James J. Callahan
Publisher : Springer Science & Business Media
ISBN 13 : 144197332X
Total Pages : 542 pages
Book Rating : 4.4/5 (419 download)

Book Synopsis Advanced Calculus by : James J. Callahan

Download or read book Advanced Calculus written by James J. Callahan and published by Springer Science & Business Media. This book was released on 2010-09-09 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

Calculus on Manifolds

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Author : Michael Spivak
Publisher : Westview Press
ISBN 13 : 9780805390216
Total Pages : 164 pages
Book Rating : 4.3/5 (92 download)

Book Synopsis Calculus on Manifolds by : Michael Spivak

Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Advanced Calculus

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Author :
Publisher : Krishna Prakashan Media
ISBN 13 : 9788182830776
Total Pages : 264 pages
Book Rating : 4.8/5 (37 download)

Book Synopsis Advanced Calculus by :

Download or read book Advanced Calculus written by and published by Krishna Prakashan Media. This book was released on with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Calculus

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Author : Louis Brand
Publisher : Courier Corporation
ISBN 13 : 0486157997
Total Pages : 610 pages
Book Rating : 4.4/5 (861 download)

Book Synopsis Advanced Calculus by : Louis Brand

Download or read book Advanced Calculus written by Louis Brand and published by Courier Corporation. This book was released on 2013-10-10 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs. 1955 edition.

Advanced Calculus

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Author : Patrick Fitzpatrick
Publisher : American Mathematical Soc.
ISBN 13 : 0821847910
Total Pages : 610 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Advanced Calculus by : Patrick Fitzpatrick

Download or read book Advanced Calculus written by Patrick Fitzpatrick and published by American Mathematical Soc.. This book was released on 2009 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Advanced Calculus of Several Variables

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Author : C. H. Edwards
Publisher : Academic Press
ISBN 13 : 1483268055
Total Pages : 470 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Advanced Calculus of Several Variables by : C. H. Edwards

Download or read book Advanced Calculus of Several Variables written by C. H. Edwards and published by Academic Press. This book was released on 2014-05-10 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Calculus

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Author : Voxman
Publisher : CRC Press
ISBN 13 : 9780824769499
Total Pages : 700 pages
Book Rating : 4.7/5 (694 download)

Book Synopsis Advanced Calculus by : Voxman

Download or read book Advanced Calculus written by Voxman and published by CRC Press. This book was released on 1981-03-01 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Calculus: An Introduction to Modem Analysis, an advanced undergraduate textbook,provides mathematics majors, as well as students who need mathematics in their field of study,with an introduction to the theory and applications of elementary analysis. The text presents, inan accessible form, a carefully maintained balance between abstract concepts and applied results ofsignificance that serves to bridge the gap between the two- or three-cemester calculus sequence andsenior/graduate level courses in the theory and appplications of ordinary and partial differentialequations, complex variables, numerical methods, and measure and integration theory.The book focuses on topological concepts, such as compactness, connectedness, and metric spaces,and topics from analysis including Fourier series, numerical analysis, complex integration, generalizedfunctions, and Fourier and Laplace transforms. Applications from genetics, spring systems,enzyme transfer, and a thorough introduction to the classical vibrating string, heat transfer, andbrachistochrone problems illustrate this book's usefulness to the non-mathematics major. Extensiveproblem sets found throughout the book test the student's understanding of the topics andhelp develop the student's ability to handle more abstract mathematical ideas.Advanced Calculus: An Introduction to Modem Analysis is intended for junior- and senior-levelundergraduate students in mathematics, biology, engineering, physics, and other related disciplines.An excellent textbook for a one-year course in advanced calculus, the methods employed in thistext will increase students' mathematical maturity and prepare them solidly for senior/graduatelevel topics. The wealth of materials in the text allows the instructor to select topics that are ofspecial interest to the student. A two- or three ll?lester calculus sequence is required for successfuluse of this book.

Two-Dimensional Calculus

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Author : Robert Osserman
Publisher : Courier Corporation
ISBN 13 : 0486321002
Total Pages : 484 pages
Book Rating : 4.4/5 (863 download)

Book Synopsis Two-Dimensional Calculus by : Robert Osserman

Download or read book Two-Dimensional Calculus written by Robert Osserman and published by Courier Corporation. This book was released on 2014-01-05 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integration of linear algebra and development of geometric intuition. 1986 edition.

Advanced Calculus

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Author : Ellen F. Buck
Publisher :
ISBN 13 : 9780070850767
Total Pages : 622 pages
Book Rating : 4.8/5 (57 download)

Book Synopsis Advanced Calculus by : Ellen F. Buck

Download or read book Advanced Calculus written by Ellen F. Buck and published by . This book was released on 1978 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Schaums Outline of Advanced Calculus, Second Edition

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Author : Robert C. Wrede
Publisher : McGraw Hill Professional
ISBN 13 : 9780071375672
Total Pages : 460 pages
Book Rating : 4.3/5 (756 download)

Book Synopsis Schaums Outline of Advanced Calculus, Second Edition by : Robert C. Wrede

Download or read book Schaums Outline of Advanced Calculus, Second Edition written by Robert C. Wrede and published by McGraw Hill Professional. This book was released on 2002-02-20 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, theres Schaums Outlines. More than 40 million students have trusted Schaums to help them succeed in the classroom and on exams. Schaums is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaums Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaums highlights all the important facts you need to know. Use Schaums to shorten your study time-and get your best test scores! Schaums Outlines-Problem Solved.

A Historian Looks Back

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Author : Judith V. Grabiner
Publisher : MAA
ISBN 13 : 0883855720
Total Pages : 307 pages
Book Rating : 4.8/5 (838 download)

Book Synopsis A Historian Looks Back by : Judith V. Grabiner

Download or read book A Historian Looks Back written by Judith V. Grabiner and published by MAA. This book was released on 2010-10-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: An inspiring collection of a historian's work on the history of mathematics.

The Library of Original Sources: Advance in knowledge, 1650-1800

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Author : Oliver Joseph Thatcher
Publisher :
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.X/5 (4 download)

Book Synopsis The Library of Original Sources: Advance in knowledge, 1650-1800 by : Oliver Joseph Thatcher

Download or read book The Library of Original Sources: Advance in knowledge, 1650-1800 written by Oliver Joseph Thatcher and published by . This book was released on 1915 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Resources in Education

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Author :
Publisher :
ISBN 13 :
Total Pages : 1032 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Resources in Education by :

Download or read book Resources in Education written by and published by . This book was released on 1997 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: