Introduction to Calculus and Analysis, Vol. II/1 (Classics in Mathematics) [Paperback]

Richard Courant (Author), Fritz John (Author)

Book Description

Publication Date: December 14, 1999 | ISBN-10: 3540665692 | ISBN-13: 978-3540665694 | Edition: Reprint of the 1st ed. New York 1989

From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991

Editorial Reviews

Review

From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that." Newsletter on Computational and Applied Mathematics, 1991 "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." Acta Scientiarum Mathematicarum, 1991

From the Back Cover

Biography of Richard Courant Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John. (P.D. Lax) Biography of Fritz John Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was half-Jewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994. John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMO-functions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty. (J. Moser)

Product Details

• Paperback: 574 pages
• Publisher: Springer; Reprint of the 1st ed. New York 1989 edition (December 14, 1999)
• Language: English
• ISBN-10: 3540665692
• ISBN-13: 978-3540665694
• Product Dimensions: 9.3 x 6.1 x 1.4 inches
• Shipping Weight: 1.9 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #238,317 in Books (See Top 100 in Books)

Customer Reviews

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15 of 15 people found the following review helpful:

5.0 out of 5 stars Absolutely beautiful!, January 23, 2005

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El yucateco (New York, NY) - See all my reviews

This review is from: Introduction to Calculus and Analysis, Vol. II/1 (Classics in Mathematics) (Paperback)

I give 5 stars to this book because it gives the reader the perfect combination between rigor and intuition. Volume 2 has solutions to almost all the exercises, which is great because some of the problems are very difficult. I really think this is a "must have" text for anyone who wants to learn calculus at a deep level.