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ISBN 9781461462705
DDC 515
Tác giả CN Ross, Kenneth A.
Nhan đề Elementary Analysis : The Theory of Calculus / Kenneth A. Ross
Lần xuất bản Second Edition
Thông tin xuất bản New York : Springer, 2013
Mô tả vật lý 416 p. ; cm.
Phụ chú Undergraduate texts in mathematics
Tóm tắt For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book's clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis ... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably."--MATHEMATICAL
Thuật ngữ chủ đề Calculus
Thuật ngữ chủ đề Global analysis (Mathematics)
Khoa Khoa Cơ bản
Địa chỉ Thư Viện Đại học Nguyễn Tất Thành
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100 |aRoss, Kenneth A.
245 |aElementary Analysis : |bThe Theory of Calculus / |cKenneth A. Ross
250 |aSecond Edition
260 |aNew York : |bSpringer, |c2013
300 |a416 p. ; |ccm.
500 |aUndergraduate texts in mathematics
520 |aFor over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book's clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis ... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably."--MATHEMATICAL
541 |aSpringer
650 |aCalculus
650 |aGlobal analysis (Mathematics)
690 |aKhoa Cơ bản
852 |aThư Viện Đại học Nguyễn Tất Thành
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