# [PDF / Epub] ☄ What Is Mathematics? An Elementary Approach to Ideas and Methods: An Elementary Approach to Ideas and Methods (Oxford Paperbacks) ✓ the late Richard Courant – Tactical-player.co.uk

For Than Two Thousand Years A Familiarity With Mathematics Has Been Regarded As An Indispensable Part Of The Intellectual Equipment Of Every Cultured Person Today, Unfortunately, The Traditional Place Of Mathematics In Education Is In Grave Danger The Teaching And Learning Of Mathematics Has Degenerated Into The Realm Of Rote Memorization, The Outcome Of Which Leads To Satisfactory Formal Ability But Does Not Lead To Real Understanding Or To Greater Intellectual Independence This New Edition Of Richard Courant S And Herbert Robbins S Classic Work Seeks To Address This Problem Its Goal Is To Put The Meaning Back Into Mathematics Written For Beginners And Scholars, For Students And Teachers, For Philosophers And Engineers, What Is Mathematics , Second Edition Is A Sparkling Collection Of Mathematical Gems That Offers An Entertaining And Accessible Portrait Of The Mathematical World Covering Everything From Natural Numbers And The Number System To Geometrical Constructions And Projective Geometry, From Topology And Calculus To Matters Of Principle And The Continuum Hypothesis, This Fascinating Survey Allows Readers To Delve Into Mathematics As An Organic Whole Rather Than An Empty Drill In Problem Solving With Chapters Largely Independent Of One Another And Sections That Lead Upward From Basic To Advanced Discussions, Readers Can Easily Pick And Choose Areas Of Particular Interest Without Impairing Their Understanding Of Subsequent Parts Brought Up To Date With A New Chapter By Ian Stewart, What Is Mathematics , Second Edition Offers New Insights Into Recent Mathematical Developments And Describes Proofs Of The Four Color Theorem And Fermat S Last Theorem, Problems That Were Still Open When Courant And Robbins Wrote This Masterpiece, But Ones That Have Since Been Solved Formal Mathematics Is Like Spelling And Grammar A Matter Of The Correct Application Of Local Rules Meaningful Mathematics Is Like Journalism It Tells An Interesting Story But Unlike Some Journalism, The Story Has To Be True The Best Mathematics Is Like Literature It Brings A Story To Life Before Your Eyes And Involves You In It, Intellectually And Emotionally What Is Mathematics Is Like A Fine Piece Of Literature It Opens A Window Onto The World Of Mathematics For Anyone Interested To View

Not quite what I wanted, but that s my fault caveat emptor I m wanted something on the philosophy of maths, but this is basically a maths textbook, although it is much discursive than the ones I remember from school and is quite a good read Early on, the authors put me in my place by remarking that the mathematical object exhausts itself in the totality of its possible relations with the perceiver and although these relations must be co ordinated with the thing in itself further

This book is probably my all time favourite mathematics text for introducing undergraduate mathematics The author is a prolific writer and very engaging The breadth of topics covered is impressive.

A classic but still highly enjoyable introduction to basic concepts and ideas in Mathematics This revised version includes interesting updates by I Stewart.

The book covers a broad range of topics in mainly pure maths It should be comprehensible to anyone who has done the equivalent of UK A Level maths To get the most out of it, you need to be willing to concentrate hard explanations are clear but sometimes at a breathless pace and to tackle some of the exercises The most technical parts are clearly flagged up as optional reading For anyone wanting to go beyond school maths, or about to embark on a maths course at university, the book will be

This is a book for scholars If you want to learn some mathematics instead of just reading about it, then this is the book for you It combines exposition with worked examples in just the right balance, giving mathematical explanations in diverse fields like topology, Euclidean geometry, number theory, Boolean algebra, calculus, complex algebra and mathematical induction not a complete list You can dip into it anywhere or read it cover to cover It s refreshing to read a text on mathematics whe

This book was great It covered a huge range of mathematical ideas, and pushed past anything learned in school or college The algebra is well laid out, and it is well written The only fault I can give is that it is quite a dense book At times, pushing through one chapter could take hours, but if you have the time and the inclination, then I thoroughly recommend this as a recreational and educational Mathematics book

Wish I d read this at school or even university it would have taken a lot of the drudgery out of the complicated bits..

This survey of mathematics as an introduction for a wider public is perhaps the best of its kind Well illustrated and very accessible.