Jost J. Postmodern Analysis

Springer, 2009. - 516 Pages. This new approach to real analysis stresses the use of the subject in applications, by showing how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying...

Brooks Cole, 2005. - 608 Pages. Easily master the fundamental concepts of mathematical analysis with "Advanced Calculus". Presented in a clear and simple way, this advanced caluclus text leads you to a precise understanding of the subject by providing you with the tools you need to succeed. A wide variety of exercises helps you gain a genuine understanding of the material and examples demonstrate the significance of what you learn. Emphasizing t...

Springer, 2009. - 480 pages. Table of contents Dimensional Analysis. - Perturbation Methods. - Kinetics. - Diffusion. - Traffic Flow. - Continuum Mechanics: One Spatial Dimension. - Elastic and Viscoelastic Materials. - Continuum Mechanics: Three Spatial Dimensions. - Fluids. - Taylor's Theorem. - Fourier Analysis. - Stochastic Differential Equations. - Identities. - Equations for a Newtonian Fluid. - References. - Index. From the reviews: Thi...

Springer, 2002, 2010. 384 p. ISBN 978-3-642-16149-0 (на немецком языке) Zweite, korrigierte Au?age Mathematische Grundlagen der Analysis Funktionenfolgen und Reihen Taylorentwicklung Das lokale Verhalten nichtlinearer Abbildungen an regul? aren Stellen Die k-dimensionalen Fl?achen im Rn Analysis unter Nebenbedingungen Klassische Vektoranalysis I: Gradient, Rotation und Divergenz Klassische Vektoranalysis II: Integration auf Fl?achen Klass...

Wiley, 2011. - 1280 pages. 10 edition The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations,...

Springer, 2011. - 262 pages. To decrease the failure rate in analysis and make it a less traumatic experience for both the students and the instructor, authors have offered a pre-analysis course for the last several years at the University of Colorado at Colorado Springs. Students are strongly advised to take one semester of pre-analysis, and they then take the required one semester of analysis. The experiment has been remarkably successful. The...

Springer, 2008. - 368 pages. This volume contains all the exercises and their solutions for Lang's second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of varying difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one v...

Springer, 2010. - 702 Pages. Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with cert...

Wiley, 2011. - 316 pages. 2 edition A provocative look at the tools and history of real analysis. This new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous proble...

Springer, 2007. - 438 Pages. Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out exam...