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1. What Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant, Herbert Robbins | |
Paperback: 592
Pages
(1996-07-18)
list price: US$24.95 -- used & new: US$15.62 (price subject to change: see help) Asin: 0195105192 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description For more 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 not to real understanding or 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 more 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 a marvelously literate story: it opens a window onto the world of mathematics for anyone interested to view. Customer Reviews (35)
excellent buy
typos galore, terrible layout
A fascinating book.
Math education at its best and most beautiful.
Incredibly thorough |
2. Differential and Integral Calculus, Vol. 1 (Volume 1) by Richard Courant | |
Paperback: 616
Pages
(1988-02)
list price: US$164.00 -- used & new: US$29.00 (price subject to change: see help) Asin: 0471608424 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (6)
Great book, wonderful book but $$$'s!!!!!
great but not worth $135 to most people
Best calculus book, but not for beginners.
Worth a look
Classical German calculus |
3. Differential and Integral Calculus, Vol. 2 by Richard Courant | |
Paperback: 692
Pages
(2010-06-13)
list price: US$39.95 -- used & new: US$31.54 (price subject to change: see help) Asin: 487187835X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Sits next to Feynman
Best Calculus book
This book really is a classic Different calculus textbooks will go in and out of fashion as professors try to overcome the poor preparation of their students, but Courant's book will endure as long as there are students who really want to understand thoroughly what they are doing.
A fantastic calculus book!
An excellent calculus book |
4. Introduction to Calculus and Analysis, Vol. 1 (Classics in Mathematics) by Richard Courant, Fritz John | |
Paperback: 661
Pages
(1998-12-22)
list price: US$69.95 -- used & new: US$49.00 (price subject to change: see help) Asin: 354065058X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (10)
Solutions to problems and exercises
An Excellent Book
a superb book
More than an introduction
Superior as an introductory calculus text! |
5. Methods of Mathematical Physics, Vol. 2 by Richard Courant, D. Hilbert | |
Paperback: 856
Pages
(1989-01-04)
list price: US$155.00 -- used & new: US$120.31 (price subject to change: see help) Asin: 0471504394 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
classical math physics text
state of the art in the 50's |
6. Methods of Mathematical Physics, Vol. 1 by Richard Courant, D. Hilbert | |
Paperback: 560
Pages
(1989-01-04)
list price: US$155.00 -- used & new: US$120.74 (price subject to change: see help) Asin: 0471504475 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Theory of advanced mathematics (not physics).
The best book available
courant studied mechanics and mathematics
This book is a classics, but perhaps not exhaustive
This bookisfamous, but cannnot be described as classics. |
7. Introduction to Calculus and Analysis, Vol. II/2 (Classics in Mathematics) by Richard Courant, Fritz John | |
Paperback: 954
Pages
(1999-12-14)
list price: US$59.95 -- used & new: US$45.00 (price subject to change: see help) Asin: 3540665706 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
This should be used in court swear by
Solutions to problems and exercises
You must have this. Courant also published a standard reference work (also two volumes, I believe) on Mathematical Physics.While the level of mathematics required is post-grad, I was still able to read sizeable sections of it without getting lost. We can only hope Dover decides to publish Courant's works one day, to make them a little more affordable.But still, you can buy both volumes of Courant's intro to calculus for about the same price as a modern calculus text that waters down the material, and on top of that, provides inadequate explanation for the material it does cover. ... Read more |
8. Methods of Mathematical Physics (2 Volumes) by Richard Courant, D. Hilbert | |
Paperback: 1390
Pages
(1989-01-16)
list price: US$186.00 -- used & new: US$144.99 (price subject to change: see help) Asin: 0471557609 Canada | United Kingdom | Germany | France | Japan | |
9. Differential and Integral Calculus (2 Volume Set) by Richard Courant | |
Paperback: 1298
Pages
(1992-06-17)
list price: US$284.00 -- used & new: US$278.32 (price subject to change: see help) Asin: 0471588814 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
An Excellent guide to calculus
Excellent Exposure and Presentation but Outdated
great calculus book
Classical book Nonetheless, Courant's book is an old text, around 70 years old. It belongs to these classics of science that were influential and held its own as a source of common knowledge. Why? I believe that the answer to this question is simple: Courant's book has the perfect balance between theory and applications. It does not use too much pedantry in its exposition, is full of examples (for the student to do and also some worked-out), ranging from simple to very difficult, and yet it proves everything that is important in a way that no mathematician can complain. Indeed, the authors leaves the most difficult demonstrations to appendixes that can be found in each chapter, so the reader that doesn't want to enter into the complications of the proofs can skip them. And the book is written in a conversational style, that much probably influenced the book that, in my humble opinion, is the best that can be found treating the subjects it treats (so I also have my favourite calculus text: Spivak's Calculus!). There are two volumes, the first one dealing mainly with calculus of one variable and the second with multivariate and complex analysis. It contains the core of the mathematical theory useful for physicists and engineers and has this that is amazing: it develops the theory and always gives good physical examples. Indeed, a whole course of theoretical physics is contained in this book, almost hidden. So, if someone is reading this review and is in doubt whether the book is good or not, I can say, with the experience of having read a long list of calculus texts, that the book is good and is worth-while. It is useful to the mathematician and to the engineer, to the philosopher and to the physicist, and serves extremely well both as a text book for class study, self-study and for reference. If you are worried that the treatment is dated, I can say that, although today the most common treatment of, say, multivariate calculus is through linear algebra, that leaves the subject much cleaner, Courant's work still is of value in that it explains everything in as simple way as possible, mantaining always ahead the objectives of each section. It is essentially a book of applications of analysis and if you read and work the examples, you will turn yourself into an expert both in theory and application and will be able to follow easily any work that has classical analysis as prerequisite. Great classical book! ... Read more |
10. Introduction to Calculus and Analysis, Vol. II/1 (Classics in Mathematics) by Richard Courant, Fritz John | |
Paperback: 558
Pages
(1999-12-14)
list price: US$69.95 -- used & new: US$39.54 (price subject to change: see help) Asin: 3540665692 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Absolutely beautiful! |
11. Vorlesungen über Differential- und Integralrechnung: Band 1: Funktionen einer Veränderlichen (German Edition) by Richard Courant | |
Paperback: 450
Pages
(1971-07-01)
list price: US$49.95 -- used & new: US$49.95 (price subject to change: see help) Asin: 3540054669 Canada | United Kingdom | Germany | France | Japan | |
12. Methoden der mathematischen Physik (German Edition) by Richard Courant, David Hilbert | |
Hardcover: 545
Pages
(1993-10-25)
list price: US$59.95 -- used & new: US$47.96 (price subject to change: see help) Asin: 3540567968 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
13. Courant (Volume 0) by Constance Reid | |
Paperback: 318
Pages
(1996-04-19)
list price: US$15.00 -- used & new: US$1.98 (price subject to change: see help) Asin: 0387946705 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
A Builder of Centers of Excellence in Mathematics
A Builder of Centers of Excellence in Mathematics
Great book!!!! |
14. Lecture notes by Richard Courant, Donald Flanders | |
Paperback: 98
Pages
(2010-08-03)
list price: US$18.75 -- used & new: US$13.81 (price subject to change: see help) Asin: 117676912X Canada | United Kingdom | Germany | France | Japan | |
15. Introduction to Calculus and Analysis / Volume I by Richard and John, Fritz Courant | |
Paperback:
Pages
(1989)
Asin: B0045VB34M Canada | United Kingdom | Germany | France | Japan | |
16. Differential and Integral Calculus (2 Volume Set) by Richard Courant | |
Hardcover:
Pages
(1934)
Asin: B0008C1GNU Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
The Most Incredible Two Volumes of Calculus |
17. What Is Mathematics an Elementary Approa by Richard Courant | |
Hardcover:
Pages
(1941)
Asin: B004236G7W Canada | United Kingdom | Germany | France | Japan | |
18. Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces by Richard Courant | |
Paperback: 352
Pages
(2005-11-03)
list price: US$19.95 -- used & new: US$11.77 (price subject to change: see help) Asin: 0486445526 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description An examination of approaches to easy-to-understand but difficult-to-solve mathematical problems, this classic text begins with a discussion of Dirichlet's principle and the boundary value problem of potential theory, then proceeds to examinations of conformal mapping on parallel-slit domains and Plateau's problem. Also explores minimal surfaces with free boundaries and unstable minimal surfaces. 1950 edition. |
19. Economics (12th Edition) (The Addison-Wesley Series in Economics) by Richard G. Lipsey, Paul N. Courant, Christopher T.S. Ragan | |
Hardcover: 840
Pages
(1999-07-12)
list price: US$162.67 -- used & new: US$29.99 (price subject to change: see help) Asin: 0201347393 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Fast, good customer service
Fraud - send me paper back instead of hard cover (different ISPN #)
The best book for a beginner
A very beautiful book. |
20. Vorlesungen Über Allgemeine Funktionentheorie Und Elliptische Funktionen (German Edition) by Adolf Hurwitz, Richard Courant | |
Paperback: 422
Pages
(2010-02-23)
list price: US$34.75 -- used & new: US$19.95 (price subject to change: see help) Asin: 1145220169 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
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