Understanding Infinity by A Gardiner
Conceived by the author as an introduction to why the calculus works (otherwise known as analysis), this volume represents a critical reexamination of the infinite processes encountered in elementary mathematics. Part I presents a broad description of the coming parts, and Part I offers a detailed examination of the infinite processes arising in the realm of number--rational and irrational numbers and their representation as infinite decimals. Most of the text is devoted to analysis of specific examples. Part I explores the extent to which the familiar geometric notions of length, area, and volume depend on infinite processes. Part IV defines the evolution of the concept of functions by examining the most familiar examples--polynomial, rational, exponential, and trigonometric functions. Exercises form an integral part of the text, and the author has provided numerous opportunities for students to reinforce their newly acquired skills. Unabridged republication of Infinite Processes as published by Springer-Verlag, New York, 1982. Preface. Advice to the Reader. Index.-
Galois Theory
-
Lady Luck: The Theory of Probability
-
The Magic of Numbers
-
Elements of Abstract Algebra
-
Topology
-
Principles of Statistics
-
Non-Euclidean Geometry
-
Trigonometry Refresher
-
A Geometric Introduction to Topology
-
Calculus Refresher
-
Fibonacci and Lucas Numbers, and the Golden Section
-
Introduction to Artificial Intelligence
-
Intriguing Mathematical Problems
-
Calculus of Variations
-
Algebraic Number Theory
-
History of Mathematics: General Survey of the History of Elementary Mathematics v. 1
-
Mathematical Puzzling
-
Practical Statistics Simply Explained
-
Calculus and Statistics
-
Statistical Adjustment of Data
-
Basic Set Theory
-
The Malliavin Calculus
-
Elementary Decision Theory
-
Logic and Boolean Algebra
-
Elementary Matrix Theory
-
Introduction to Field Theory
-
Introduction to Partial Differential Equations
-
Modern Nonlinear Equations
-
Mathematical Physics
-
The Foundations of Statistics
-
The Gamma Function
-
The Mathematics of Games
- Theory of Markov Processes
- The Theory of Remainders
-
Structure of Algebras
-
Lectures on Functional Equations and Their Applications
-
The Nature and Power of Mathematics
-
Lectures on Elementary Number Theory
-
A Treatise on Probability
-
A Course in the Geometry of N-Dimen
Dutch mathematician Nicolaas Covert (Dick) de Brujin is Professor Emeritus at the Eindhoven University of Technology. He has been involved in many areas of mathematics and is currently working on models for the human brain.
| SKU | Unavailable |
| ISBN 13 | 9780486425382 |
| ISBN 10 | 048642538X |
| Title | Understanding Infinity |
| Author | A Gardiner |
| Series | Dover Books On Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 2010-12-22 |
| Number of pages | 320 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |