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eBook Aspects of Calculus (Undergraduate Texts in Mathematics) ePub

eBook Aspects of Calculus (Undergraduate Texts in Mathematics) ePub

by Gabriel Klambauer

  • ISBN: 1461395631
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Gabriel Klambauer
  • Language: English
  • Publisher: Springer; Softcover reprint of the original 1st ed. 1986 edition (December 21, 2011)
  • Pages: 516
  • ePub book: 1385 kb
  • Fb2 book: 1925 kb
  • Other: mobi txt rtf mbr
  • Rating: 4.8
  • Votes: 948

Description

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.

Undergraduate Texts in Mathematics are generally aimed at third- and . The Theory of Calculus

Undergraduate Texts in Mathematics are generally aimed at third- and fourth-year undergraduate mathematics students at North American universities. These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interrela-tions among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding. The Theory of Calculus.

With 82 Illustrations. Undergraduate texts in mathematics) Bibliography: p. Includes index. Springer-Verlag New York Berlin Heidelberg Tokyo. This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a more creative use of information. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis.

Authors: Klambauer, Gabriel. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis

Authors: Klambauer, Gabriel. In addition, this book may also be of interest to those preparing to teach a course in calculus. Instead of exposing the reader to an excess of premature abstractions that so easily can degenerate into pedantry, I felt it more useful to stress instruc­ tive and stimulating examples. The book contains numerous worked out examples and many of the exercises are provided with helpful hints or a solution in outline.

The final section of the book introduces those aspects of linear algebra which can be applied to the calculus of several variables, including matrix operations, determinants, and linear mappings.

Only 4 left in stock (more on the way). The final section of the book introduces those aspects of linear algebra which can be applied to the calculus of several variables, including matrix operations, determinants, and linear mappings. These tools are then applied to illustrate the Jacobian and Hessian matrices, differentiability of vector fields, the Inverse Mapping Theorem, the Implicit Function Theorem, determinants as area and volume, dilations, and change of variable formulas in both two and three dimensions.

by. Klambauer, Gabriel. New York : Springer-Verlag. inlibrary; printdisabled; trent university;. Kahle/Austin Foundation. Books for People with Print Disabilities. Trent University Library Donation. Internet Archive Books. Uploaded by station04. cebu on September 4, 2019.

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: complete avoidance of /epsilon-/delta arguments by instead using sequences definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane complete avoidance of complex numbers heavy emphasis on computational problems applications from many parts of analysis, . convex conjugates, Cantor.

Электронная книга "Aspects of Calculus", Gabriel Klambauer. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Aspects of Calculus" для чтения в офлайн-режиме.

Undergraduate Texts in Mathematics. Article · January 2015 with 10 Reads . How we measure 'reads'. regarding some aspects of their students’ mathematical understanding. Over 4,000 current undergraduate STEMM and social scientists who had taken at least AS-level Maths completed an online questionnaire regarding the modules that they studied as part of the A-level(s), and how well they believed they were prepared by those for the mathematical demands of their degree.

Aspects of Calculus by Gabriel Klambauer. Basic Concepts of Algebraic Topology by . Calculus I (Undergraduate Texts in Mathematics) by Jerrold Marsden. Basic Elements of Real Analysis by Murray H. Protter. Calculus II by Jerrold Marsden. Calculus III by Jerrold Marsden. Calculus of Several Variables by Serge Lang. Calculus Two: Linear and Nonlinear Functions by Francis J. Flanigan. Calculus with applications and computing by Peter D. Lax.

This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a more creative use of information. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis. In addition, this book may also be of interest to those preparing to teach a course in calculus. Instead of exposing the reader to an excess of premature abstractions that so easily can degenerate into pedantry, I felt it more useful to stress instruc­ tive and stimulating examples. The book contains numerous worked out examples and many of the exercises are provided with helpful hints or a solution in outline. For further exercises the interested reader may want to consult a problem book by the author entitled Problems and Propositions in Analysis (New York: Marcel Dekker, 1979). For the history of calculus I recommend the book by C. B. Boyer, The Concepts of the Calculus (New York: Dover, 1949).

Comments

Voodoogore Voodoogore
Outstanding book. If you are serious about mathematics, or at least about calculus, this is must have book.
Painwind Painwind
I really like this book. It is one of the most entertaining calculus text I came across. In my opinion, it is very difficult to find such a balance calculus text like this. I think most people who study calculus in a classroom setting would probably be assigned with a text they have to use. Therefore, when people look for a supplementary calculus text, they must expect something different from what is written in a didactic mode of classroom teaching. That what I feel like when I searched the library shelves for an alternative calculus text. I think this book is written for that purpose; and very well written it is.

The book begins by introducing some of the classical problems that led to the development of calculus. This is an excellent method for two reasons. First, it gives you an understanding about why do we need calculus and how the method of calculus was developed in the first place. It provides both motivation and appreciation of the subject; and this should be the aim of any didactic method. Second, it is one of the best book that employs "intuitive" method to great effect. By "intuitive" I means that readers are gradually and naturally led to more difficult calculus topics by thinking mathematically about basic/familiar concepts and example carefully chosen by the author.

It is too bad that such a book is now out of print. Maybe because there is really no market for it. This text, being an out of classroom supplement, must compete with scores of those "for dummy" books out there that purport to help students ace calculus at school or in college. Students who need immediate help with the subject would more likely go for an easier text such as "calculus made easy" or Schaum's outline. But I do strongly recommend it for those who are willing to spend more time and effort.