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Designed to promote an actual understanding of calculus as well as a real sense of how math is used in our technological age. At every stage it stresses the meaning in practical, graphical or numerical terms of the symbols students are using and the main concepts of calculus are described in plain English. Differential equations, exponential functions, the definite integral and its applications are among the topics covered. Includes problem sets, many of which are open-ended.
Designed to promote an actual understanding of calculus as well as a real sense of how math is used in our technological age. At every stage it stresses the meaning in practical, graphical or numerical terms of the symbols students are using and the main concepts of calculus are described in plain English. Differential equations, exponential functions, the definite integral and its applications are among the topics covered. Includes problem sets, many of which are open-ended.
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.
CALCULUS, Metric, 9th Edition, provides you with the strongest foundation for a STEM future. James Stewart's Calculus, Metric series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart's clarity of exposition and make the 9th Edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.
Dwyer and Gruenwald’s Calculus Resequenced for Students in STEM, Preliminary Edition highlights a new approach to calculus and is devoted to improving the calculus sequence for students in STEM majors. The text introduces a new standard for order and choice of topics for the 3-semester sequence. Resequencing topics in the calculus sequence allows for front-loading material for upper-level STEM majors into the first two semesters, ensuring Calculus 2 is an attractive jumping-off point for students in biology and chemistry. The topical ordering was developed in consultation with advisory boards consisting of educators in mathematics, biology, chemistry, physics, engineering and economics at diverse institutions.
The Student Solutions Manual to accompany Rogawski's Single Variable Calculus: Early Transcendentals offers worked-out solutions to all odd-numbered exercises in the text.
Mathematical Methods for Physics and Engineering, Third Edition is a highly acclaimed undergraduate textbook that teaches all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. This solutions manual accompanies the third edition of Mathematical Methods for Physics and Engineering. It contains complete worked solutions to over 400 exercises in the main textbook, the odd-numbered exercises, that are provided with hints and answers. The even-numbered exercises have no hints, answers or worked solutions and are intended for unaided homework problems; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.