Expert choice for elementary analysis
When you want to find elementary analysis, you may need to consider between many choices. Finding the best elementary analysis is not an easy task. In this post, we create a very short list about top 10 the best elementary analysis for you. You can check detail product features, product specifications and also our voting for each product. Let’s start with following top 10 elementary analysis:
Best elementary analysis
1. Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)
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SpringerDescription
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 books 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.
2. Elementary Analysis: The Theory of Calculus
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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.3. Elementary Classical Analysis, 2nd Edition
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Used Book in Good ConditionDescription
4. Elementary Analysis: The Theory of Calculus by Kenneth A. Ross (1980-03-03)
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Will be shipped from US. Used books may not include companion materials, may have some shelf wear, may contain highlighting/notes, may not include CDs or access codes. 100% money back guarantee.5. Elementary Real and Complex Analysis (Dover Books on Mathematics)
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In this book the renowned Russian mathematician Georgi E. Shilov brings his unique perspective to real and complex analysis, an area of perennial interest in mathematics. Although there are many books available on the topic, the present work is specially designed for undergraduates in mathematics, science and engineering. A high level of mathematical sophistication is not required.
The book begins with a systematic study of real numbers, understood to be a set of objects satisfying certain definite axioms. The concepts of a mathematical structure and an isomorphism are introduced in Chapter 2, after a brief digression on set theory, and a proof of the uniqueness of the structure of real numbers is given as an illustration. Two other structures are then introduced, namely n-dimensional space and the field of complex numbers.
After a detailed treatment of metric spaces in Chapter 3, a general theory of limits is developed in Chapter 4. Chapter 5 treats some theorems on continuous numerical functions on the real line, and then considers the use of functional equations to introduce the logarithm and the trigonometric functions. Chapter 6 is on infinite series, dealing not only with numerical series but also with series whose terms are vectors and functions (including power series). Chapters 7 and 8 treat differential calculus proper, with Taylor's series leading to a natural extension of real analysis into the complex domain. Chapter 9 presents the general theory of Riemann integration, together with a number of its applications. Analytic functions are covered in Chapter 10, while Chapter 11 is devoted to improper integrals, and makes full use of the technique of analytic functions.
Each chapter includes a set of problems, with selected hints and answers at the end of the book. A wealth of examples and applications can be found throughout the text. Over 340 theorems are fully proved.
6. Statistics and Data Analysis: From Elementary to Intermediate
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Introducing the concepts and methods of modern statistics with an emphasis on computer assisted data analysis, the book focuses on interpretation of results rather than their computation. Review of probability, collecting data, summarizing and exploring data, sampling distributions of statistics, basic concepts of inference, linear regression and correlation, analysis of single factor and multifactor Experiments.
7. Elementary Structural Analysis and Design of Buildings: A Guide for Practicing Engineers and Students
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This overview of the analysis and design of buildings runs from basic principles and elementary structural analysis to the selection of structural systems and materials, and on to foundations and retaining structures. It presents a variety of approaches and methodologieswhile featuring realistic design examples.
As a comprehensive guide and desk reference for practicing structural and civil engineers, and for engineering students, it draws on the authors teaching experience at The City College of New York and his work as a design engineer and architect. It is especially useful for those taking the National Council of Examiners for Engineering and Surveying SE exam.
8. Elementary Functional Analysis (Graduate Texts in Mathematics)
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Used Book in Good ConditionDescription
This concise text on functional analysis is gently written and covers a unique set of topics. It includes numerous high-quality exercises and interesting historical tidbits scattered throughout.
9. Elementary Numerical Analysis
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Offering a clear, precise, and accessible presentation, completewith MATLAB programs, this new Third Edition of ElementaryNumerical Analysis gives students the support they need to masterbasic numerical analysis and scientific computing. Now updated andrevised, this significant revision features reorganized andrewritten content, as well as some new additional examples andproblems.The text introduces core areas of numerical analysis and scientificcomputing along with basic themes of numerical analysis such as theapproximation of problems by simpler methods, the construction ofalgorithms, iteration methods, error analysis, stability,asymptotic error formulas, and the effects of machine arithmetic.
10. Elementary Real Analysis: Second Edition (2008)
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