Libros de Matemáticas, página 53 de 472

Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

TEC/Lazo, AdrianaLa experiencia docente de los autores los llevó a concebir una obra que cubriera de manera integral las diferentes disciplinas de las matemáticas, como son los conocimientos algebraicos, geometricos y de geometria analitica, de tal forma que ni el profesor ni los alumnos tengan la necesidad de utilizar diferentes libros durante el curso escolar. Por ello, esta obra cubre los temas de funciones de geometria analitica, buscando una correlacion logica entre los temas y diferentes disciplinas y conservando un mismo enfoque, formato y grado de dificultad. Contiene una gran cantidad de ejercicios, ademas de otros aspectos didacticos que facilitaran la comprension de lo temas tratados.

Mathematical methods are essential tools for all physical scientists. This second edition provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are well integrated. The mathematical insights that the student acquires are therefore driven by their physical insight. Topics that are covered include vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Greens functions, normal modes, tensor calculus, and perturbation theory. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. This book can be used by undergraduates, and lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.

Esta obra es a la vez un Manual práctico, que presenta una exposición clara y detallada del programa, y un instrumento de reflexión para los estudiantes deseosos de profundizar ciertos aspectos de la teoria, y de iniciarse en problemas mas elevadosJacqueline Lelong-Ferran, Universite de Paris VI y J.M. Arnaudies, Lycee Kleber a Strasbourg, Francia

Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents.The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises.The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.

A thinking student is an engaged studentTeachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide

Revised, expanded, and extremely comprehensive, this best-selling reference is almost like having your own personal tutor. You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, "Advanced Engineering Mathematics" is ideal as an on-the-job reference for professionals or as a self-study guide for students. It: uses a unique technique-oriented approach that takes the reader through each topic step-by-step; features a wealth of worked examples and progressively more challenging exercises; and contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension. The expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.

El propósito de este libro es presentar una introducción a los principios estadísticos generales que serán de utilidad para cualquier estudiante, independientemente de sus campos de especialización. Ha sido diseñado para utilizarse tanto como complemento de cualquier texto estandar actual, o como libro de texto para un curso formal de estadistica.La Serie Schaum es la clave para un aprendizaje mas rapido y eficiente y para obtener mejores calificaciones. Cada capitulo presenta toda la informacion esencial en un formato facil de seguir, tema por tema, reforzando los conceptos basicos. Incluye cientos de ejemplos, problemas resueltos y ejercicios de practica que ponen a prueba las habilidades del estudiante.Esta edicion contiene nuevos ejemplos, figuras y resultados de cinco paquetes de software informatico representativos de los cientos o quizas miles de paquetes de software informatico disponibles para su uso en estadistica. La sexta edicion se apoya principalmente en MINITAB, EXCEL y STATISTIX. Los resultados de MINITAB y STATISTIX ayudan a clarificar algunos de los conceptos estadisticos que son dificiles de entender sin la ayuda de las graficas involucradas.

Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for advanced undergraduates and beginning graduate students. It covers the basics on smooth manifolds and their tangent spaces before moving on to regular values and transversality, smooth flows and differential equations on manifolds, and the theory of vector bundles and locally trivial fibrations. The final chapter gives examples of local-to-global properties, a short introduction to Morse theory and a proof of Ehresmann's fibration theorem. The treatment is hands-on, including many concrete examples and exercises woven into the text, with hints provided to guide the student.