The Concise Oxford Dictionary of Mathematics, 6th Edition
- Length: 512 pages
- Edition: 6
- Language: English
- Publisher: Oxford University Press
- Publication Date: 2021-09-01
- ISBN-10: 0198845359
- ISBN-13: 9780198845355
- Sales Rank: #198419 (See Top 100 Books)
With over 4,000 entries, this informative A to Z provides clear, jargon-free definitions on a wide variety of mathematical terms. Its entries cover both pure and applied mathematics, and include key theories, concepts, methods, programmes, people, and terminology.
For this sixth edition, around 800 new terms have been defined, expanding on the dictionary’s coverage of topics such as algebra, differential geometry, algebraic geometry, representation theory, and statistics. Among this new material are articles such as cardinal arithmetic, first fundamental form, Lagrange’s theorem, Navier-Stokes equations, potential, and splitting field. The existing entries have also been revised and updated to account for developments in the field.
Numerous supplementary features complement the text, including detailed appendices on basic algebra, areas and volumes, trigonometric formulae, and Roman numerals. Newly added to these sections is a historical timeline of significant mathematicians lives and the emergence of key theorems. There are also illustrations, graphs, and charts throughout the text, as well as useful web links to provide access to further reading.
Cover page How to search Alphabetical List of Entries Halftitle page Title page Copyright page Contents Contributors to the First and Second Editions Preface to Second Edition* Preface to Third Edition Preface to Fourth Edition Preface to Fifth Edition Preface to Sixth Edition a b c d e f g h i j k l m n o p q r s t u v w x y z Appendix 1 Areas and volumes Appendix 2 Centres of mass Appendix 3 Moments of inertia Appendix 4 SI prefixes, units, and constants Appendix 5 Geometry: equations of lines and planes Equation of a line Distance from a point to a line Equation of a plane Distance from a point to a plane Distance between two lines Angle between two planes The circle Appendix 6 Basic algebra Appendix 7 Derivatives Appendix 8 Integrals Appendix 9 Common ordinary differential equations and solutions Appendix 10 Laplace Transforms Appendix 11 Series Appendix 12 Convergence tests for series Appendix 13 Common inequalities Appendix 14 Trigonometric formulae *Addition formulae *Double-angle formulae Tangent-of-half-angle formulae Product formulae Factor formulae Trigonometric values for some special angles Symmetry Shifts and periodicity Appendix 15 Probability distributions Appendix 16 Vector algebra and operators Appendix 17 Groups of order 15 or less Appendix 18 Prime numbers less than 1000 Appendix 19 Symbols and abbreviations Appendix 20 Greek letters Appendix 21 Roman numerals Appendix 22 Fields Medal winners Appendix 23 Millennium Prize problems 1. P versus NP 2. The Hodge conjecture 3. The *Riemann hypothesis 4. Yang–Mills existence and mass gap 5. Navier–Stokes existence and smoothness 6. The *Birch and Swinnerton-Dyer conjecture 7. The Poincaré conjecture Appendix 24 Historical timeline
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