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Record Nr. |
UNINA9910463457503321 |
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Autore |
Boas Ralph P (Ralph Philip), <1912-1992.> |
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Titolo |
A primer of real functions [[electronic resource] /] / Ralph P. Boas |
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Pubbl/distr/stampa |
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[Washington, D.C.], : Mathematical Association of America, c1996 |
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ISBN |
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Edizione |
[4th ed. /] |
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Descrizione fisica |
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1 online resource (323 p.) |
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Collana |
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The Carus mathematical monographs ; ; no. 13 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Functions of real variables |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Front Cover""; ""A Primer of Real Functions""; ""Copyright Page""; ""Preface to the Fourth Edition""; ""Preface to the Third Edition""; ""Contents""; ""Chapter 1. Sets""; ""1 Sets""; ""2 Sets of real numbers""; ""3 Countable and uncountable sets""; ""4 Metric spaces""; ""5 Open and closed sets""; ""6 Dense and nowhere dense sets""; ""7 Compactness""; ""8 Convergence and completeness""; ""9 Nested sets and Baire's theorem""; ""10 Some applications of Baire's Theorem""; ""11 Sets of measure zero""; ""Chapter 2. Functions""; ""12 Functions""; ""13 Continuous functions"" |
""14 Properties of continuous functions""""15 Upper and lower limits""; ""16 Sequences of functions""; ""17 Uniform convergence""; ""18 Pointwise limits of continuous functions""; ""19 Approximations to continuous functions""; ""20 Linear functions""; ""21 Derivatives""; ""22 Monotonic functions""; ""23 Convex functions""; ""24 Infinitely differentiable functions""; ""Chapter 3. Integration""; ""25 Lebesgue measure""; ""26 Measurable functions""; ""27 Definition of the Lebesgue integral""; ""28 Properties of Lebesgue integrals""; ""29 Applications of the Lebesgue integral"" |
""30 Stieltjes integrals""""31 Applications of the Stieltjes integral""; ""32 Partial sums of infinite series""; ""Answers to Exercises""; ""Index""; ""Back Cover"" |
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Sommario/riassunto |
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This is a revised, updated and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory |
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of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable functions. The fourth edition adds sections on measurable sets and functions, the Lebesgue and Stieltjes integrals, and applications. The book retains the informal chatty style of the previous editions, remaining accessible to readers with some mathematical sophistication and a background in calculus. The book is thus suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Not intended as a systematic treatise, this book has more the character of a sequence of lectures on a variety of interesting topics connected with real functions. Many of these topics are not commonly encountered in undergraduate textbooks: for example, the existence of continuous everywhere-oscillating functions (via the Baire category theorem); the universal chord theorem; two functions having equal derivatives, yet not differing by a constant; and application of Stieltjes integration to the speed of convergence of infinite series. |
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2. |
Record Nr. |
UNINA9910576880803321 |
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Autore |
Santacesaria Elio |
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Titolo |
Industrial Chemistry Reactions: Kinetics, Mass Transfer and Industrial Reactor Design |
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Pubbl/distr/stampa |
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Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
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Descrizione fisica |
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1 online resource (230 p.) |
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Soggetti |
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Technology: general issues |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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Nowadays, the impressive progress of commercially available computers allows us to solve complicated mathematical problems in many scientific and technical fields. This revolution has reinvigorated all aspects of chemical engineering science. More sophisticated |
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approaches to catalysis, kinetics, reactor design, and simulation have been developed thanks to the powerful calculation methods that have recently become available. It is well known that many chemical reactions are of great interest for industrial processes and must be conducted on a large scale in order to obtain needed information in thermodynamics, kinetics, and transport phenomena related to mass, energy, and momentum. For a reliable industrial-scale reactor design, all of this information must be employed in appropriate equations and mathematical models that allow for accurate and reliable simulations for scaling up purposes. The aim of this proposed Special Issue was to collect worldwide contributions from experts in the field of industrial reactor design based on kinetic and mass transfer studies. The following areas/sections were covered by the call for original papers: Kinetic studies on complex reaction schemes (multiphase systems); Kinetics and mass transfer in multifunctional reactors; Reactions in mass transfer-dominated regimes (fluid-solid and intraparticle diffusive limitations); Kinetic and mass transfer modeling using alternative approaches (ex. stochastic modeling); Simulations in pilot plants and industrial-sized reactors and scale-up studies based on kinetic studies (lab-to-plant approach). |
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