2010, ISBN: 1441973311

[EAN: 9781441973313], Neubuch, [PU: Springer-Verlag Gmbh Sep 2010], ANALYSIS; CALCULUS; APPROXIMATION - DIFFERENZENAPPROXIMATION; NÄHERUNGSRECHNUNG; RECHNEN / MATHEMATIK; DIFFERENZIALGLEICHUNG; GLEICHUNG DIFFERENZIALRECHNUNG; INFINITESIMALRECHNUNG, Neuware - With a fresh geometric approach accompanied by approximately 300 figures, this textbook sets itself apart from all others in advanced calculus. Although this book presents classical capstones of advanced calculus, such as the divergence theorem for 3-dimensional regions and Stokes theorem for 2-dimensional surfaces in space, it devotes most of the book to the physical meaning of the theorems and their underlying concepts. All relevant analytic topics, such as convergence of sequences of functions, are purposefully left out of this book because the analysis aspect is typically covered in advanced calculus textbooks while the geometric aspects are rarely represented.The pace of Advanced Calculus: A Geometric View is designed deliberately for independent study, as it is abundant in figures, exercises, and visual examples that introduce ideas and topics. This book can be divided into two parts: Part 1: mappings; Part 2: integrals. There are many chapters in both parts, which go into extreme detail on the many different topics in advanced calculus, such as the geometry of linear maps, approximations, derivatives, implicit functions, surface integrals, and Stoke s theorem.Containing both calculus and geometry, this textbook is intended to be used by undergraduates in mathematics and the physical sciences who are taking a course in advanced calculus and/or geometry, or engaged in independent study. The prerequisites include linear algebra and multivariable calculus. With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study. 526 pp. Englisch, Books

2010, ISBN: 9781441973313

[ED: Hardcover], [PU: Springer, Berlin], With a fresh geometric approach accompanied by approximately 300 figures, this textbook sets itself apart from all others in advanced calculus. Although this book presents classical capstones of advanced calculus, such as the divergence theorem for 3-dimensional regions and Stokes theorem for 2-dimensional surfaces in space, it devotes most of the book to the physical meaning of the theorems and their underlying concepts. All relevant analytic topics, such as convergence of sequences of functions, are purposefully left out of this book because the analysis aspect is typically covered in advanced calculus textbooks while the geometric aspects are rarely represented. The pace of Advanced Calculus: A Geometric View is designed deliberately for independent study, as it is abundant in figures, exercises, and visual examples that introduce ideas and topics. This book can be divided into two parts: Part 1: mappings Part 2: integrals. There are many chapters in both parts, which go into extreme detail on the many different topics in advanced calculus, such as the geometry of linear maps, approximations, derivatives, implicit functions, surface integrals, and Stoke s theorem. Containing both calculus and geometry, this textbook is intended to be used by undergraduates in mathematics and the physical sciences who are taking a course in advanced calculus and/or geometry, or engaged in independent study. The prerequisites include linear algebra and multivariable calculus. With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study. 2010. xvi, 526 S. 3 Tabellen. 235 x 155 mm Sofort lieferbar, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)

ISBN: 9781441973313

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincare lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus.There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.; Science & Nature, Springer

ISBN: 9781441973313

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus.  Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma.  The ideas behind most topics can be understood with just two or three variables.  The book incorporates modern computational tools to give visualization real power.  Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.  The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books.  This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics.  Prerequisites are an introduction to linear algebra and multivariable calculus.  There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry.  The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study. Books, [PU: Springer]

ISBN: 9781441973313

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study. Books List_Books, [PU: Springer]