elementary analysis

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Elementary Analysis

Author : Kenneth A. Ross
ISBN : 9781461462712
Genre : Mathematics
File Size : 71. 11 MB
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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.

Elementary Analysis

Author : Kenneth A. Ross
ISBN : 9781475739718
Genre : Mathematics
File Size : 74. 99 MB
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Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

Elementary Analysis

Author : Kenneth A. Ross
ISBN : 038790459X
Genre : Mathematics
File Size : 71. 98 MB
Format : PDF, ePub, Mobi
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Designed for students having no previous experience with rigorous proofs, this text on analysis is intended to follow a standard calculus course. It will be useful for students planning to continue in mathematics (with, for example, complex variables, differential equations, numerical analysis, multivariable calculus, or statistics), as well as for future secondary school teachers.

Elementary Analysis

Author : Albert Dakin
ISBN : 0003222136
Genre : Calculus
File Size : 24. 81 MB
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Elementary Analysis And Statistics

Author : Jesse M. Shapiro
ISBN : STANFORD:36105002030513
Genre : Mathematics
File Size : 71. 5 MB
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Elementary Analysis

Author : Percey Franklyn Smith
ISBN : UOM:39015067241318
Genre : Calculus
File Size : 49. 65 MB
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Introduction To Applicable Mathematics Elementary Analysis

Author : Fred A. Hinchey
ISBN : 0470270411
Genre : Mathematics
File Size : 76. 50 MB
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Elementary Analysis

Author : K. S. Snell
ISBN : 9781483158983
Genre : Mathematics
File Size : 37. 6 MB
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Elementary Analysis, Volume 2 introduces several of the ideas of modern mathematics in a casual manner and provides the practical experience in algebraic and analytic operations that lays a sound foundation of basic skills. This book focuses on the nature of number, algebraic and logical structure, groups, rings, fields, vector spaces, matrices, sequences, limits, functions and inverse functions, complex numbers, and probability. The logical structure of analysis given through the treatment of differentiation and integration, with applications to the trigonometric and logarithmic functions, is also briefly discussed. This volume begins with a description of the trigonometric functions of the general angle and an introduction to the binomial theorem and series. The rest of the chapters cover the numerical solution of equations, analytical geometry, Argand Diagram, numerical methods, and methods of approximation that form an important section of modern applied mathematics. This publication is valuable to teachers and students in training colleges.

Elementary Analysis

Author : Richard F. McCoart
ISBN : UOM:39015004486406
Genre : Algebra
File Size : 71. 35 MB
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Elementary Classical Analysis

Author : Jerrold E. Marsden
ISBN : 0716721058
Genre : Mathematics
File Size : 64. 30 MB
Format : PDF
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Designed for courses in advanced calculus and introductory real analysis, the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. As such, it’s a perfect teaching and learning resource for mathematics undergraduate courses in classical analysis. The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. As well as being suitable for students taking pure mathematics, it can also be used by students taking engineering and physical science courses. There’s now even more material on variable calculus, expanding the textbook’s already considerable coverage of the subject.

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