A Second Course in Mathematical Analysis

Author: J. C. Burkill
Publisher: Cambridge University Press
ISBN: 0521523435
Release Date: 2002-10-24
Genre: Mathematics

A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.

LOGIC SETS AND THE TECHNIQUES OF MATHEMATICAL PROOFS

Author: Brahima MBODJE, Ph.D.
Publisher: Author House
ISBN: 9781463429669
Release Date: 2011-06-30
Genre: Education

As its title indicates, this book is about logic, sets and mathematical proofs. It is a careful, patient and rigorous introduction for readers with very limited mathematical maturity. It teaches the reader not only how to read a mathematical proof, but also how to write one. To achieve this, we carefully lay out all the various proof methods encountered in mathematical discourse, give their logical justifications, and apply them to the study of topics [such as real numbers, relations, functions, sequences, fine sets, infinite sets, countable sets, uncountable sets and transfinite numbers] whose mastery is important for anyone contemplating advanced studies in mathematics. The book is completely self-contained; since the prerequisites for reading it are only a sound background in high school algebra. Though this book is meant to be a companion specifically for senior high school pupils and college undergraduate students, it will also be of immense value to anyone interested in acquiring the tools and way of thinking of the mathematician.

A Course of Pure Mathematics

Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 0521092272
Release Date: 1952
Genre: Mathematics

There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

Advanced Courses of Mathematical Analysis II

Author: A. Rodriguez-Palacios
Publisher: World Scientific
ISBN: 9789812708441
Release Date: 2007
Genre: Mathematical analysis

This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of new directions and advances in topics for current and future research in the field.

A Course in Mathematical Analysis

Author: D. J. H. Garling
Publisher: Cambridge University Press
ISBN: 9781107032026
Release Date: 2013-04-25
Genre: Mathematics

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

A Second Course in Mathematical Analysis

Author: Dorairaj Somasundaram
Publisher: Alpha Science International Limited
ISBN: 1842655337
Release Date: 2010
Genre: Mathematics

A Second Course in Mathematical Analysis makes an in-depth study of Infinite series, Double sequences and series, power series, sequences and series of functions, Functions of bounded variation, Riemann - Stieltjes integrals, Lebesgue integrals, Fourier series, Multivariable differential calculus, Implicit functions and Extremum problems.

A Course of Modern Analysis

Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 0521588073
Release Date: 1927
Genre: Mathematics

This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.

Amstat News

Author:
Publisher:
ISBN: UOM:39015057314281
Release Date: 2003
Genre: Statistics


Elementary Real and Complex Analysis

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486135007
Release Date: 2012-07-31
Genre: Mathematics

DIVExcellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. /div

A First Course in Analysis

Author: John B. Conway
Publisher: Cambridge University Press
ISBN: 9781107173149
Release Date: 2017-07-31
Genre: Mathematics

This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject.

A Second Course in Linear Algebra

Author: Stephan Ramon Garcia
Publisher: Cambridge University Press
ISBN: 9781107103818
Release Date: 2017-05-11
Genre: Mathematics

A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.