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Functions of Real Variables
  • Language: en
  • Pages: 248

Functions of Real Variables

  • Type: Book
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  • Published: 1966
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  • Publisher: Unknown

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Functions of Real Variables
  • Language: en
  • Pages: 430

Functions of Real Variables

  • Type: Book
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  • Published: 1928
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  • Publisher: Unknown

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Functions of a Real Variable
  • Language: en
  • Pages: 338

Functions of a Real Variable

This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

The Theory of Functions of a Real Variable
  • Language: en
  • Pages: 260

The Theory of Functions of a Real Variable

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Functions of Several Real Variables
  • Language: en
  • Pages: 733

Functions of Several Real Variables

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.

A Brief Course in the Theory of Functions of a Real Variable
  • Language: en
  • Pages: 368

A Brief Course in the Theory of Functions of a Real Variable

  • Type: Book
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  • Published: 1976
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  • Publisher: Unknown

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The Theory of Functions of a Real Variable
  • Language: en
  • Pages: 258

The Theory of Functions of a Real Variable

  • Type: Book
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  • Published: 1951
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  • Publisher: Unknown

This textbook leads the reader by easy stages through the essential parts of the theory of sets and theory of measure to the properties of the Lebesgue integral. The first part of the book gives a general introduction to functions of a real variable, measure, and integration, while the second part treats the problem of inverting the derivative of continuous functions, leading to the Denjoy integrals, and studies the derivates and approximate derivates of functions of a real variable on arbitrary linear sets. The author considers the presentation of this second part as the main purpose of his book.

The Theory of Functions of Real Variables
  • Language: en
  • Pages: 400

The Theory of Functions of Real Variables

  • Type: Book
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  • Published: 1956
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  • Publisher: Unknown

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Real Variables
  • Language: en
  • Pages: 646

Real Variables

  • Type: Book
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  • Published: 1959
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  • Publisher: Unknown

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The Theory of Functions of a Real Variable and the Theory of Fourier's Series
  • Language: en
  • Pages: 784

The Theory of Functions of a Real Variable and the Theory of Fourier's Series

  • Type: Book
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  • Published: 1957
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  • Publisher: Unknown

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