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An Accompaniment to Higher Mathematics
This text prepares undergraduate mathematics students to meet two challenges in the study of mathematics, namely, to read mathematics independently and to understand and write proofs. The book begins … mehr »
geschrieben von George R. Exner (Autor)
The approach taken by this book is based on two beliefs. The first is that almost nobody understands calculus fully the first time around: multiple exposures are required. The second belief is that … mehr »
geschrieben von George R. Exner (Autor)
This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex …
Preface; 1. The Complex Numbers; 2. Functions of the Complex Variablez; 3. Analytic Functions; 4. Line Integrals and Entire Functions; 5.Properties of Entire Functions; 6. Properties of Analytic …
What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of …
Introduction; A brief review of calculus; Ordinary differential equations; Computer solution methods; Elementary oscillations; Planetary motion; Waves and diffusion; The best of all possible worlds?; …
This best-selling guide - which has sold more than 340,000 copies since its first publication - has been thoroughly updated throughout to corresponds to current advanced calculus courses. A complete …
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth …
1. Introduction.- 2. Variational problems with linear growth: the general setting.- 3. Variational integrands with ($,\mu ,q$)-growth.- 4. Variational problems with linear growth: the case of $\mu …
This book discusses the basic properties of …
Part I. Basic Theory of the Period Map: 1. Introductory examples; 2. Cohomology of compact Kahler manifolds; 3. Holomorphic invariants and cohomology; 4. Cohomology of manifolds varying in a family; …
The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical …
Preface.- Introduction to Shape Optimization Theory and Some Classical Problems.- Optimization Problems Over Classes of Convex Domains.- Optimal Control Problems: A General Scheme.- Shape Optimization …
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With …

Another subject of the study is the problem of integral geometry on paraboloids, in particular the uniqueness of solutions to the Goursat problem for a differential inequality, which implies new …
Solvability of problems of integral geometry; two-dimensional inverse problem for the transport equation; three-dimensional inverse problem for the transport equation; solvability of the problem of …

The presented collection of papers is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA-01) held in Teistungen, …
This self-contained work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book contain …
"Biomarker discovery.- Disease classification using genomic, and proteomic techniques.-
Hereditary ovarian cancer research.- Disease modeling.- Recent advances in cytotoxic chemotherapy.- …
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