Advanced Calculus (Revised Edition) PDF Download
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Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
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Book Description
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: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
Get Book Here
Book Description
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:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 714
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Book Description
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1116
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Author: Nikoli Publishing
Publisher: Workman Publishing
ISBN: 9780761146223
Category : Games & Activities
Languages : en
Pages : 424
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Book Description
From Nikoli, the Japanese puzzle company that created the sudoku craze, comesa title that starts at hard and goes to a level of difficulty not seen in anyprevious books.
Author: William Judson LeVeque
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 388
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Book Description
Author:
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 684
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Book Description
These four volumes contain the almost 12,000 reviews appearing in Mathematical Reviews under primary or secondary subject classification 46, Functional Analysis, between 1980 and 1986.
Author: Federico Bonetto
Publisher: American Mathematical Soc.
ISBN: 1470436817
Category : Mathematics
Languages : en
Pages : 346
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Book Description
This volume contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held from October 8–11, 2016, at the Georgia Institute of Technology, Atlanta, Georgia. In recent years, a number of new frontiers have opened in mathematical physics, such as many-body localization and Schrödinger operators on graphs. There has been progress in developing mathematical techniques as well, notably in renormalization group methods and the use of Lieb–Robinson bounds in various quantum models. The aim of this volume is to provide an overview of some of these developments. Topics include random Schrödinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory. A number of articles are devoted to the very active area of Schrödinger operators on graphs and general spectral theory of Schrödinger operators. Some of the articles are expository and can be read by an advanced graduate student.
Author: Marya Washington Tyler
Publisher:
ISBN: 9781882664962
Category : Education
Languages : en
Pages : 75
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Book Description
Imagine your students tackling math word problems drawn from the extreme sports of polar ice swimming, scuba diving, and adventure racing. World champion athletes (like Erik Weihenmeyer, the first blind man to climb Mount Everest) present real math problems they face while scaling peaks, hang gliding off cliffs, kayaking over waterfalls, riding raging bulls, and plunging down steep cliffs on mountain bikes. Taught by the athletes, using basic multiplication, division, fractions, and percentages, your students will figure out that math is essential even in the world of extreme sports . . . and it can be fun! Activities include: Polar bear swimmers: How many strokes will it take us to swim across this hole in the ice? Master skydiver: How many miles have we fallen so far? Master scuba divers: How long will our air tanks last at 99 feet under water? World champion kayaker: How tall is this waterfall, anyway? High school rodeo champion: How much money do I get if I win? World champion adventure racer: How many calories do we need to pack for a 6-day race across glaciers, arid peaks, thick brush, and mangrove swamps? Master hang glider: How do you get this thing to go down? Like the authors' previous book, the best-selling Real Life Math Mysteries, the word problems in this book are real, alive, and clearly focused. Each problem is provided on a reproducible handout and includes problem-solving suggestions with a comprehensive answer key. Many of the athletes share their thoughts and encouragement to study hard in school. All activities are tied to the standards established by the National Council of Teachers of Mathematics.
Author:
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Category : Humanities
Languages : en
Pages : 712
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Author:
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ISBN:
Category : Education
Languages : en
Pages : 812
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Book Description
