Honors Calculus

Author : Charles R. MacCluer
Publisher : Princeton University Press
Page : 188 pages
File Size : 52,9 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9780691218229

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Honors Calculus by Charles R. MacCluer Pdf

This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises

Author : Henry Helson
Publisher : Unknown
Page : 301 pages
File Size : 53,6 Mb
Release : 1995
Category : Calculus
ISBN : 0965521117

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Honors Calculus by Henry Helson Pdf

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 54,5 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

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.

Author : University of Michigan
Publisher : UM Libraries
Page : 310 pages
File Size : 47,5 Mb
Release : 1997
Category : Education, Higher
ISBN : UOM:39015078740647

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University of Michigan Official Publication by University of Michigan Pdf

Each number is the catalogue of a specific school or college of the University.

Author : University of Michigan. College of Engineering
Publisher : UM Libraries
Page : 624 pages
File Size : 44,7 Mb
Release : 1997
Category : Engineering schools
ISBN : UOM:39015047796340

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College of Engineering by University of Michigan. College of Engineering Pdf

Author : University of Michigan. College of Literature, Science, and the Arts
Publisher : UM Libraries
Page : 316 pages
File Size : 54,5 Mb
Release : 2007
Category : Electronic
ISBN : UOM:39015069204801

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Bulletin MLSA by University of Michigan. College of Literature, Science, and the Arts Pdf

Author : Amir Babak Aazami
Publisher : Createspace Independent Publishing Platform
Page : 212 pages
File Size : 53,7 Mb
Release : 2018-07-08
Category : Electronic
ISBN : 1719386048

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48 Hours of Honors Calculus by Amir Babak Aazami Pdf

This textbook is ideal for a year-long sequence of Honors Calculus at the undergraduate level, or for self-study; it is based on an Honors Calculus course the author has taught at Clark University, where he is an assistant professor of Mathematics. It is intended for all students in the sciences, though the emphasis is on proofs and foundations over computations. Its sincere wish is to awaken in the student a love of mathematical argument, and to inspire her or him to major in mathematics. One novelty of the book is that it includes a substantial amount of ordinary differential equations (ODEs) and multivariable calculus, topics usually not covered in an Honors Calculus course. Applications are also discussed: compound interest and continuous compounding in finance; Newton's method; Hamiltonian systems and Newton's law of gravitation; ODEs inspired from physics and population dynamics; and an introduction to gradient descent and neural networks. There are over 120 exercises. This text is a natural precursor to more advanced undergraduate texts in real analysis, such as Understanding Analysis by Stephen Abbott or Principles of Mathematical Analysis by Walter Rudin.

Author : Ki-hyŏng Ko,Deane Arganbright
Publisher : American Mathematical Soc.
Page : 244 pages
File Size : 53,5 Mb
Release : 2007
Category : Computers
ISBN : 0821841947

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Enhancing University Mathematics by Ki-hyŏng Ko,Deane Arganbright Pdf

The book deals with teaching mathematics, a core activity of the contemporary university. It is suitable for the library of every university and mathematician. It features a broad range of topics (technology, pedagogy, philosophy, course content) of interest and value to all who teach university mathematics. This is one of the few books dealing with this essential subject.

Author : Emil Artin,G. B. Seligman
Publisher : Unknown
Page : 132 pages
File Size : 53,8 Mb
Release : 2013-02
Category : Electronic
ISBN : 1258568659

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A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University by Emil Artin,G. B. Seligman Pdf

Author : James D. Hardy, Jr.,Ann Martin
Publisher : McFarland
Page : 216 pages
File Size : 42,9 Mb
Release : 2017-06-23
Category : Education
ISBN : 9781476629100

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Campus Crisis by James D. Hardy, Jr.,Ann Martin Pdf

Universities have stood for 900 years in Western culture with most of their institutional structures essentially unchanged. They still serve three basic functions: educating the faculty, teaching students and gathering knowledge. Funding is, and always has been, the main difficulty within universities and most of the problems critics point to can be traced to a lack of it--universities, it seems, are always in crisis. The authors demonstrate that universities are in fact doing well. They generate an immense amount of research and drive the development of new technologies. On the whole, faculty members teach pretty well and students are in fact learning (at least something), and the challenges of inadequate funding are faced with adequate success.

Author : Liviu I Nicolaescu
Publisher : World Scientific
Page : 682 pages
File Size : 48,7 Mb
Release : 2019-10-30
Category : Mathematics
ISBN : 9789811210402

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Introduction To Real Analysis by Liviu I Nicolaescu Pdf

This is a text that develops calculus 'from scratch', with complete rigorous arguments. Its aim is to introduce the reader not only to the basic facts about calculus but, as importantly, to mathematical reasoning. It covers in great detail calculus of one variable and multivariable calculus. Additionally it offers a basic introduction to the topology of Euclidean space. It is intended to more advanced or highly motivated undergraduates.

Author : Alexander Hahn
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 47,7 Mb
Release : 1998
Category : Mathematics
ISBN : 0387946063

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Learning Basic Calculus by Alexander Hahn Pdf

This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

Author : United States Coast Guard Academy
Publisher : Unknown
Page : 76 pages
File Size : 55,9 Mb
Release : 19??
Category : Electronic
ISBN : COLUMBIA:CU13312570

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Bulletin of information by United States Coast Guard Academy Pdf

Author : James J. Kaput,Ed Dubinsky,Alan H. Schoenfeld,Thomas P. Dick
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 53,5 Mb
Release : 1998
Category : Education
ISBN : 9780821808825

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Research in Collegiate Mathematics Education III by James J. Kaput,Ed Dubinsky,Alan H. Schoenfeld,Thomas P. Dick Pdf

Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.

Author : Yoz_ Matsushima
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 55,7 Mb
Release : 1971-12-31
Category : Mathematics
ISBN : 9780821816561

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Holomorphic Vector Fields on Compact KŠhler Manifolds by Yoz_ Matsushima Pdf