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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.
Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical.
Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.
With the same design and feature sets as the market leading Precalculus, 8/e, this addition to the Larson Precalculus series provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, this text contains the features that have made Precalculus a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. In addition to a brief algebra review and the core precalculus topics, PRECALCULUS WITH LIMITS, International Edition, covers analytic geometry in three dimensions and introduces concepts covered in calculus.
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
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Medicare For Dummies, 2nd Edition (9781119293392) was previously published as Medicare For Dummies, 2nd Edition (9781119079422). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Make your way through the Medicare maze with help from For Dummies America's baby boomers are now turning 65 at the rate of about 10,000 a day. Yet very few have any idea about how Medicare works, when they should sign up, or how the program fits in with other health insurance they may have. Medicare For Dummies, 2nd Edition provides a detailed road map for navigating Medicare's often-baffling complexities and helps consumers avoid pitfalls that could otherwise cost them dearly. In plain language, the new edition explains: How to qualify for Medicare, according to your personal circumstances, including new information on the rights of people in same-sex marriages When to sign up at the time that’s right for you, to avoid lifelong late penalties How to weigh Medicare’s many options so you can be confident of making the decision that's best for you What Medicare covers and what you pay, with up-to-date details of the costs of premiums, deductibles, and copays—and how you may be able to reduce those expenses By conveying not only the basics but also how to troubleshoot problems and where to find assistance, Medicare For Dummies, 2nd Edition helps you to get the most out of Medicare.
This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of teaching must be repaired, but do not agree on the most promising avenues for improvement. The document contains: (1) a record of presentations prepared for a colloquium; (2) a collage of reactions to the colloquium by a variety of individuals representing diverse calculus constituencies; (3) summaries of 16 discussion groups that elaborate on particular themes of importance to reform efforts; (4) a series of background papers providing context for the calculus colloquium; (5) a selection of final examinations from Calculus I, II, and III from universities, colleges, and two-year colleges around the country; (6) a collection of reprints of documents related to calculus; and (7) a list of colloquium participants. (PK)
Pure Mathematics is a new Students' Book and accompanying Teacher's Guide that offers full coverage of the East African A Level curriculum.
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.