Introductory Mathematics: Algebra and Analysis

Introductory Mathematics: Algebra and Analysis

This text provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.


Author
Publisher Springer Science & Business Media
Release Date
ISBN 1447106199
Pages 215 pages
Introductory Mathematics: Algebra and Analysis
Language: en
Pages: 215
Authors: Geoffrey C. Smith
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

This text provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex number
Complex Analysis
Language: en
Pages: 260
Authors: John M. Howie
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today’s students. This book takes a lower starting point th
Sturm-Liouville Theory and its Applications
Language: en
Pages: 264
Authors: Mohammed Al-Gwaiz
Categories: Mathematics
Type: BOOK - Published: 2008-01-15 - Publisher: Springer Science & Business Media

Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-
Vector Calculus
Language: en
Pages: 182
Authors: Paul C. Matthews
Categories: Mathematics
Type: BOOK - Published: 2000-01-14 - Publisher: Springer Science & Business Media

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way i
Fields and Galois Theory
Language: en
Pages: 226
Authors: John M. Howie
Categories: Mathematics
Type: BOOK - Published: 2007-10-11 - Publisher: Springer Science & Business Media

A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis
Topics in Group Theory
Language: en
Pages: 256
Authors: Geoff Smith
Categories: Mathematics
Type: BOOK - Published: 2000-05-15 - Publisher: Springer Science & Business Media

The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time,
Elementary Differential Geometry
Language: en
Pages: 332
Authors: Lecturer in Mathematics Andrew Pressley
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: Springer Science & Business Media

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential ge
Symmetries
Language: en
Pages: 198
Authors: D.L. Johnson
Categories: Mathematics
Type: BOOK - Published: 2002-12-10 - Publisher: Springer Science & Business Media

" ... many eminent scholars, endowed with great geometric talent, make a point of never disclosing the simple and direct ideas that guided them, subordinating t
Fractals in Music
Language: en
Pages: 210
Authors: Charles B. Madden
Categories: Music
Type: BOOK - Published: 1999 - Publisher: High Art Press

Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having
Information and Coding Theory
Language: en
Pages: 210
Authors: Gareth A. Jones
Categories: Mathematics
Type: BOOK - Published: 2000-06-26 - Publisher: Springer Science & Business Media

This text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instanta