Real Analysis: Foundations and Functions of One Variable (Undergraduate Texts in Mathematics) (Hardcover)

ISBN 10: 1493927655 / ISBN 13: 9781493927654
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Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable ― systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated.

In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.

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Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the students' mathematical intuition.


The modular organization of the book makes it adaptable for either semester or year-long introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education.

In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study.

The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis.

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Title: Real Analysis: Foundations and Functions of ...
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Miklós Laczkovich, Vera T. Sós
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Book Description Springer-Verlag New York Inc., United States, 2015. Hardback. Book Condition: New. 1st ed. 2015. Language: English . Brand New Book. Based on courses given at Eotvos Lorand University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated.In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study. Bookseller Inventory # SPR9781493927654

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Miklos Laczkovich, Vera T. Sós
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Book Description Springer-Verlag New York Inc., United States, 2015. Hardback. Book Condition: New. 1st ed. 2015. Language: English . Brand New Book. Based on courses given at Eotvos Lorand University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated.In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study. Bookseller Inventory # SPR9781493927654

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Book Description Springer-Verlag New York Inc. Hardback. Book Condition: new. BRAND NEW, Real Analysis: Foundations and Functions of One Variable: 2015, Miklos Laczkovich, Vera T. Sos, Based on courses given at Eotvos Lorand University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student's mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study. Bookseller Inventory # B9781493927654

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Book Description Springer. Book Condition: New. Series: Undergraduate Texts in Mathematics. Num Pages: 483 pages, 94 black & white illustrations, 3 black & white tables, biography. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 246 x 167 x 25. Weight in Grams: 1054. . 2015. 1st ed. 2015. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9781493927654

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Book Description Springer, 2015. Book Condition: New. Series: Undergraduate Texts in Mathematics. Num Pages: 483 pages, 94 black & white illustrations, 3 black & white tables, biography. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 246 x 167 x 25. Weight in Grams: 1054. . 2015. 1st ed. 2015. Hardcover. . . . . . Bookseller Inventory # V9781493927654

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