Derivatives Integrals Multivariable Functions by Guzman Alberto (25 results)

Paperback. Condition: Good. This text is appropriate for a one-semester course in what is usually called ad- vanced calculus of several variables. The approach taken here extends elementary results about derivatives and integrals of single-variable functions to functions in several-variable Euclidean space. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about func- tions of multiple variables. In the first three chapters, differentiability and derivatives are defined; prop- erties of derivatives reducible to the scalar, real-valued case are discussed; and two results from the vector case, important to the theoretical development of curves and surfaces, are presented. The next three chapters proceed analogously through the development of integration theory. Integrals and integrability are de- fined; properties of integrals of scalar functions are discussed; and results about scalar integrals of vector functions are presented. The development of these lat- ter theorems, the vector-field theorems, brings together a number of results from other chapters and emphasizes the physical applications of the theory.…

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Paperback. Condition: Good. This text is appropriate for a one-semester course in what is usually called ad- vanced calculus of several variables. The approach taken here extends elementary results about derivatives and integrals of single-variable functions to functions in several-variable Euclidean space. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about func- tions of multiple variables. In the first three chapters, differentiability and derivatives are defined; prop- erties of derivatives reducible to the scalar, real-valued case are discussed; and two results from the vector case, important to the theoretical development of curves and surfaces, are presented. The next three chapters proceed analogously through the development of integration theory. Integrals and integrability are de- fined; properties of integrals of scalar functions are discussed; and results about scalar integrals of vector functions are presented. The development of these lat- ter theorems, the vector-field theorems, brings together a number of results from other chapters and emphasizes the physical applications of the theory.…

Soft cover. Condition: As New. 1st Edition. This is a fine, as new, first edition paperback copy, blue spine, 319 pages with index.

paperback. Condition: Good. Paperback. NOT Ex-library. Good condition. Clean pages and tight binding. Previous owner's name blacked out on top edge. Until further notice, USPS Priority Mail only reliable option for Hawaii. Proceeds benefit the Pima County Public Library system, which serves Tucson and southern Arizona. H22.…

Soft cover. Condition: Near Fine. 1st Edition. Very light stain on the edge of the pages. 319 pp.

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Condition: New. 2003. Paperback. . . . . .

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This text is appropriate for a one-semester course in what is usually called ad vanced calculus of several variables. The approach taken here extends elementary results about derivatives and integrals of single-variable functions to functions in several-variable Euclidean space. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about func tions of multiple variables. In the first three chapters, differentiability and derivatives are defined; prop erties of derivatives reducible to the scalar, real-valued case are discussed; and two results from the vector case, important to the theoretical development of curves and surfaces, are presented. The next three chapters proceed analogously through the development of integration theory. Integrals and integrability are de fined; properties of integrals of scalar functions are discussed; and results about scalar integrals of vector functions are presented. The development of these lat ter theorems, the vector-field theorems, brings together a number of results from other chapters and emphasizes the physical applications of the theory.…

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author's previous text,'Continuous Functions of Vector Variables': specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topicsencompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss.Prerequisites includebackground in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line.Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. 'Derivatives and Integrals of Multivariable Functions'isa rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry. 332 pp. Englisch.…

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Condition: New. Print on Demand pp. 332 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

Condition: New. PRINT ON DEMAND pp. 332.

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author's previous 'Continuous Functions of Vector Variables': specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line.Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. 'Derivatives and Integrals of Multivariable Functions' is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 332 pp. Englisch.…