WorldCat Identities

Laczkovich, Miklós

Overview
Works: 14 works in 49 publications in 3 languages and 940 library holdings
Genres: Textbooks 
Roles: Author
Classifications: QA9.54, 511.3
Publication Timeline
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Most widely held works by Miklós Laczkovich
Conjecture and proof by Miklós Laczkovich( Book )

17 editions published between 1998 and 2002 in English and held by 672 WorldCat member libraries worldwide

The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on 'Conjecture and Proof'. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of e, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader. - Publisher
Real analysis : foundations and functions of one variable by Miklós Laczkovich( Book )

15 editions published in 2015 in 3 languages and held by 50 WorldCat member libraries worldwide

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
Sejtés és bizonyítás by Miklós Laczkovich( Book )

3 editions published in 1998 in Hungarian and held by 4 WorldCat member libraries worldwide

Analízis : [felsőoktatási tankönyv] by Miklós Laczkovich( Book )

2 editions published between 2005 and 2006 in Hungarian and held by 2 WorldCat member libraries worldwide

Analízis : [felsőoktatási tankönyv] by Miklós Laczkovich( Book )

2 editions published between 2005 and 2006 in Hungarian and held by 2 WorldCat member libraries worldwide

Valós függvénytan by Miklós Laczkovich( Book )

2 editions published in 1995 in Hungarian and held by 2 WorldCat member libraries worldwide

Analízis : [felsőoktatási tankönyv] by Miklós Laczkovich( Book )

1 edition published in 2007 in Hungarian and held by 1 WorldCat member library worldwide

Operators commuting with translations, and systems of difference equations by Miklós Laczkovich( )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Valós analízis by Miklós Laczkovich( Book )

1 edition published in 2012 in Hungarian and held by 1 WorldCat member library worldwide

Lipschitz differences and Lipschitz functions by Marek Balcerzak( )

1 edition published in 1997 in English and held by 1 WorldCat member library worldwide

Valós analízis by Miklós Laczkovich( Book )

1 edition published in 2013 in Hungarian and held by 1 WorldCat member library worldwide

Strong Fubini properties for measure and category by Krzysztof Ciesielski( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Equidecomposability of Jordan domains under groups of isometries by Miklós Laczkovich( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Measurability of functions with approximately continuous vertical sections and measurable horizontal sections by Miklós Laczkovich( )

1 edition published in 1995 in English and held by 1 WorldCat member library worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.32 (from 0.29 for Conjecture ... to 0.99 for Valós fü ...)

Conjecture and proof
Alternative Names
Laczkovich, M.

Laczkovich, Miklós

Miklós Laczkovich

Miklós Laczkovich Hongaars wiskundige

Miklós Laczkovich Hungarian mathematician

Miklós Laczkovich matemático húngaro

Miklós Laczkovich mathématicien hongrois

Miklós Laczkovich ungarischer Mathematiker

Миклош Лацкович

米可斯·拉茲柯維奇

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