Australian Mathematical Society. Lecture Series(STOM).
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Australian Mathematical Society Lecture Series
Author : Australian Mathematical Society
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File Size : 40,11 MB
Release : 1985
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Book Description
Chaos: A Mathematical Introduction
Author : John Banks
Publisher : Cambridge University Press
Page : 310 pages
File Size : 39,76 MB
Release : 2003-05-08
Category : Mathematics
ISBN : 9780521531047
Book Description
Textbook on chaos; class-tested, elementary but rigorous, with applications and lots of pictures and exercises.
Lectures on Real Analysis
Author : Finnur Lárusson
Publisher : Cambridge University Press
Page : 128 pages
File Size : 22,29 MB
Release : 2012-06-07
Category : Mathematics
ISBN : 1139511041
Book Description
This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.
Industrial Mathematics
Author : Glenn Fulford
Publisher : Cambridge University Press
Page : 220 pages
File Size : 21,9 MB
Release : 2002
Category : Mathematics
ISBN : 9780521001816
Book Description
An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.
Introduction to the Analysis of Metric Spaces
Author : John R. Giles
Publisher : Cambridge University Press
Page : 276 pages
File Size : 22,84 MB
Release : 1987-09-03
Category : Mathematics
ISBN : 9780521359283
Book Description
This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.
The Mathematics of Projectiles in Sport
Author : Neville de Mestre
Publisher : Cambridge University Press
Page : 192 pages
File Size : 47,37 MB
Release : 1990-04-19
Category : Mathematics
ISBN : 9780521398572
Book Description
Of considerable interest to applied mathematicians as well as sporting enthusiasts is the mathematical theory underlying the many sporting activities documented here, ranging from the high jump to frisbees and soccer to table tennis.
Unitary Reflection Groups
Author : Gustav I. Lehrer
Publisher : Cambridge University Press
Page : 303 pages
File Size : 18,5 MB
Release : 2009-08-13
Category : Mathematics
ISBN : 0521749891
Book Description
A unitary reflection is a linear transformation of a complex vector space that fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or an arrangement of mirrors. This book gives a complete classification of all finite groups which are generated by unitary reflections, using the method of line systems. Irreducible groups are studied in detail, and are identified with finite linear groups. The new invariant theoretic proof of Steinberg's fixed point theorem is treated fully. The same approach is used to develop the theory of eigenspaces of elements of reflection groups and their twisted analogues. This includes an extension of Springer's theory of regular elements to reflection cosets. An appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises, ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. Book jacket.
The Petersen Graph
Author : D. A. Holton
Publisher : Cambridge University Press
Page : 367 pages
File Size : 45,92 MB
Release : 1993-04-22
Category : Mathematics
ISBN : 0521435943
Book Description
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
Geometric Approaches to Differential Equations
Author : Peter J. Vassiliou
Publisher : Cambridge University Press
Page : 242 pages
File Size : 45,66 MB
Release : 2000-03-13
Category : Mathematics
ISBN : 9780521775984
Book Description
A concise and accessible introduction to the wide range of topics in geometric approaches to differential equations.
