Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

More about us

Calculus Closer to the Real World by Mark Burgin

**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Real Analysis Books**. We hope students and teachers like these **textbooks**, notes and solution manuals.

**Share this page:- **

**Congratulations, the link is avaliable for free download.**

**About this book :- **
** Neoclassical Analysis: Calculus Closer to the Real World ** written by
** Mark Burgin **
** Calculus Made Easy **

Neoclassical analysis extends methods of classical calculus to reflect uncertainties that arise in computations and measurements. In it, ordinary structures of analysis, that is, functions, sequences, series, and operators, are studied by means of fuzzy concepts: fuzzy limits, fuzzy continuity, and fuzzy derivatives. For example, continuous functions, which are studied in the classical analysis, become a part of the set of the fuzzy continuous functions studied in neoclassical analysis.

Aiming at representation of uncertainties and imprecision and extending the scope of the classical calculus and analysis, neoclassical analysis makes, at the same time, methods of the classical calculus more precise with respect to real life applications. Consequently, new results are obtained extending and even completing classical theorems. In addition, facilities of analytical methods for various applications also become more broad and efficient.

Neoclassical analysis is closely related to fuzzy set theory, set-valued analysis, and interval analysis.

The book presents the core of the neoclassical analysis on three levels in each chapter. At first, basic classical constructions of the conventional calculus, such as limits, continuous functions, derivatives, differentiable functions, and integrals, and their properties are considered. The next level gives an exposition of neoclassical, fuzzy extensions of the classical constructions for real functions and sequences, i.e., neoclassical analysis of real functions and sequences is constructed. The third level elevates elements of calculus from numerical functions to functions in metric and normed linear spaces and is presented at the end of the main chapters.

This facilitates reading of the book and makes it accessible to a wide range of readers. Even those who did not learn or forgot calculus can read this book as the beginning section of each chapter introduces the reader to the classical calculus. Even for those who studied calculus at a college or university, the expository section liberates such a reader from necessity to go from time to time to other sources. At the same time, mathematicians who know the classical calculus very well will be able to find many innovative information about a new, extended and more realistic calculus called neoclassical analysis.

It is possible to use this book for enhancing traditional courses of calculus for undergraduates, as well as for teaching separate courses for graduate and undergraduate students at colleges and universities.

At the same time, it is possible to use this book for teaching such courses as "Foundations of Calculus," "Real Analysis," and "Calculus" aimed at mathematically oriented students. Detailed proofs, formalized definitions of the main constructions combined with an informal exposition of the main ideas provide convenient opportunities to learn calculus in both classical and innovative form. In the educational context, those statements that are given without proofs can be used as homework and classwork problems.

**Book Detail :- **
** Title: ** Neoclassical Analysis: Calculus Closer to the Real World
** Edition: **
** Author(s): ** Mark Burgin
** Publisher: ** Nova Science Pub Inc
** Series: **
** Year: ** 2008
** Pages: ** 409
** Type: ** PDF
** Language: ** English
** ISBN: ** 1600219462,9781600219467,9781606926291
** Country: ** US

Get Similar Books from Amazon

**About Author :- **

Author ** Mark Burgin ** is professor of Mathematics from Department of Mathematics, University of California, Los Angeles.

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
** Neoclassical Analysis: Calculus Closer to the Real World ** written by
** Mark Burgin **
cover the following topics.

1. Introduction

2. Fuzzy Limits

3. Fuzzy Continuous Functions

4. Fuzzy Differentiation

5. Monotone and Fuzzy Monotone Functions

6. Fuzzy Maxima and Minima of Real Functions

7. Fuzzy Integration

8. Fuzzy Dynamical Systems

9. Conclusion

**Note:-**

We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn. If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS. Thank you.

**Other Famous Books Topics:- **

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?