The Calculus Revised
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Advanced Calculus (Revised Edition)
Author | : Lynn Harold Loomis |
Publisher | : World Scientific Publishing Company |
Total Pages | : 595 |
Release | : 2014-02-26 |
Genre | : Mathematics |
ISBN | : 9814583952 |
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 of Several Variables
Author | : C. H. Edwards |
Publisher | : Academic Press |
Total Pages | : 470 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483268055 |
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.
Calculus in Vector Spaces, Second Edition, Revised Expanded
Author | : Lawrence Corwin |
Publisher | : CRC Press |
Total Pages | : 616 |
Release | : 1994-12-08 |
Genre | : Mathematics |
ISBN | : 9780824792794 |
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Calculus in Vector Spaces, Revised Expanded
Author | : Lawrence Corwin |
Publisher | : Routledge |
Total Pages | : 600 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351462830 |
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Calculus
Author | : Gilbert Strang |
Publisher | : |
Total Pages | : 824 |
Release | : 2016-03-07 |
Genre | : Calculus |
ISBN | : 9781938168062 |
"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.
Calculus With Applications
Author | : Peter D. Lax |
Publisher | : Springer Science & Business Media |
Total Pages | : 509 |
Release | : 2013-09-21 |
Genre | : Mathematics |
ISBN | : 1461479460 |
Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
Introduction to the Calculus of Variations
Author | : Hans Sagan |
Publisher | : Courier Corporation |
Total Pages | : 484 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 048613802X |
Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
The Complete Calculus Review Book
Author | : Henry Gu |
Publisher | : Createspace Independent Pub |
Total Pages | : 126 |
Release | : 2012-09-01 |
Genre | : Mathematics |
ISBN | : 9781478362203 |
This book is for math teachers and professors who need a handy calculus reference book, for college students who need to master the essential calculus concepts and skills, and for AP Calculus students who want to pass the exam with a perfect score. Calculus can not be made easy, but it can be made simple. This book is concise, but the scope of the contents is not. To solve calculus problems, you need strong math skills. The only way to build these skills is through practice. To practice, you need this book.
Interactive Calculus
Author | : Ron Larson |
Publisher | : Houghton Mifflin College Division |
Total Pages | : 40 |
Release | : 1998-09-01 |
Genre | : Mathematics |
ISBN | : 9780395911020 |
This unique and comprehensive resource contains the complete text, as well as the complete solutions to odd-numbered exercises, chapter pre-tests and post-tests, guided examples with step-by-step solutions, tutorial exercises, animation and video, and built-in TI-82 and TI-83 emulators.