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A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus. The main aim of the book is to smooth the transition from the problem-solving approach of standard calculus to the more rigorous approach of proof-writing and a deeper understanding of mathematical analysis. The first half of the textbook deals with the basic foundation of analysis on the real line; the second half introduces more abstract notions in mathematical analysis. Each topic begins with a brief introduction followed by detailed examples. A selection of exercises, ranging from the routine to the more challenging, then gives students the opportunity to practise writing proofs. The book is designed to be accessible to students with appropriate backgrounds from standard calculus courses but with limited or no previous experience in rigorous proofs. It is written primarily for advanced students of mathematics - in the 3rd or 4th year of their degree - who wish to specialise in pure and applied mathematics, but it will also prove useful to students of physics, engineering and computer science who also use advanced mathematical techniques.

## About book:

## About file:

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- Author:
**Mangatiana A. Robdera** - Year:
**2002** - Publisher:
**Springer** - Language:
**English** - ISBN:
**1852335521,9781852335526, 9780857293473**

- File size:
**7 955 786** - Format:
**pdf**

Security code:

A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus. The main aim of the book is to smooth the transition from the problem-solving approach of standard calculus to the more ri...

Discovering Mathematics: A Problem-Solving Approach to Analysis with Mathematica and Maple provides a constructive approach to mathematical discovery through innovative use of software technology. Interactive Mathematica and Maple notebooks are integral t...

Discovering Mathematics: A Problem-Solving Approach to Analysis with Mathematica and Maple provides a constructive approach to mathematical discovery through innovative use of software technology. Interactive Mathematica and Maple notebooks are integral t...

Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to...

A supplement to undergraduate and undergraduate textbooks in mathematical analysis. The third volume in the series focuses on the Riemann-Stieltjes integral and the Lebesgue integral for real functions of one real variable. The first half contains the pro...

This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to...

Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to...

The best way to penetrate the subtleties of the theory of integration is by solving problems. This book, like its two predecessors, is a wonderful source of interesting and challenging problems. As a resource, it is unequaled. It offers a much richer sele...

Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in econom...

The Warhammer 40,000 Rulebook is the ultimate and essential guide to playing Warhammer 40,000 - In a savage future age, Mankind must battle for survival in a galaxy riven by destruction and bloodshed. Warhammer 40,000 is set in a time when power-armoured ...

Thirty Three Ways to Help with Numeracy equips teachers and teaching assistants with a wide range of practical resources to help children who are having difficulties learning the basic skills of numeracy. By providing a range of activities and games which...

Numerische Simulation erlaubt in immer stĂ¤rkerem MaĂźe die ErschlieĂźung von Bereichen in Technik und Naturwissenschaften, die Messungen oder Experimenten nicht mehr zugĂ¤nglich sind. Der Einsatz numerischer Methoden wird daher eine immer bedeutendere Rolle ...

Bridging the gap between local knowledge and western science is essential to understanding the world's ecosystems and the ways in which humans interact with and shape those ecosystems. This book brings together a group of world-class scientists in an unpr...

'The Oxford History of the Laws of England: Volume XI 1820-1914 English Legal System' is one of three volumes devoted to that period of relative peace across Europe running from the defeat of Napoleon to the terrible war against the two Kaisers....