Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is designed for undergraduate students who are starting their professional training in public and private universities; the content of the book is equivalent to the basic mathematics course, which corresponds to general studies that are taught in different professional schools, an important characteristic of this book. The book "Elementary Mathematics for university students" is a collection of solved and proposed exercises, which will directly contribute to developing their abilities and skills in solving exercises and problems.This book tries to complement the previous knowledge acquired at the secondary level and, simultaneously, deepen the topics with a compact and concise approach starting with the basic level and gradually developing up to the advanced level of mathematics that is fundamental in fields related to mathematics. engineering, biomedical and social. Our main objective is to cover all the necessary mathematics topics so that in the future, the student is in a position to face courses such as differential and integral calculus, vector calculus, differential equations, and others.During the last five years, the authors regularly taught the basic mathematics course and advanced courses in different professional schools of the National University of the Altiplano, the written notes that are presented began to materialize in the semesters 2021 - II and 2022 - I, considering the Valuable opinions and comments from students and colleagues who have greatly influenced the preparation and organization of the book's content. We are very grateful to our students and colleagues for their valuable input, and we look forward to receiving any comments or suggestions for future editions. Este libro está diseñado para estudiantes de pregrado que están iniciando su formación profesional en universidades públicas y privadas, el contenido del libro equivale al curso de matemática básica, que corresponde a estudios generales que se dicta en las distintas escuelas profesionales, una característica importante de este libro denominado “Matemática elemental para estudiantes universitarios” es la colección de ejercicios resueltos y propuestos, que coadyuvaran directamente en el desarrollo de sus capacidades y habilidades en resolución de ejercicios y problemas.Este libro trata de complementar los conocimientos previos adquiridos en el nivel secundario, y a su vez profundizar los temas, con un enfoque compacto y conciso comenzando con el nivel básico y desarrollando gradualmente hasta el nivel avanzado de las matemáticas que son fundamentales en campos relacionados a la ingeniería, biomédicas y sociales. Nuestro objetivo principal es cubrir todos los temas necesarios de las matemáticas para que en lo posterior el estudiante esté en condiciones de afrontar cursos como cálculo diferencial e integral, cálculo vectorial, ecuaciones diferenciales y otros.Durante los últimos cinco años los autores impartieron regularmente el curso de matemática básica y cursos avanzados en distintas escuelas profesionales de la Universidad Nacional del Altiplano, las notas escritas que se presentan empezaron a materializarse en los semestres 2021 - II y 2022 – I, considerando los valiosos opiniones y comentarios de los estudiantes y colegas que han influido enormemente para preparar y organizar el contenido del libro. Quedamos muy agradecidos a nuestros estudiantes y colegas por su valioso aporte, y esperamos en adelante recibir cualquier comentario o sugerencia para ediciones posteriores.

Mathematics --- Lógica proposicional --- Teoría de conjuntos --- Ecuaciones e inecuaciones --- Relaciones y Funciones --- Lógica proposicional --- Teoría de conjuntos --- Ecuaciones e inecuaciones --- Relaciones y Funciones

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is designed for undergraduate students who are starting their professional training in public and private universities; the content of the book is equivalent to the basic mathematics course, which corresponds to general studies that are taught in different professional schools, an important characteristic of this book. The book "Elementary Mathematics for university students" is a collection of solved and proposed exercises, which will directly contribute to developing their abilities and skills in solving exercises and problems.This book tries to complement the previous knowledge acquired at the secondary level and, simultaneously, deepen the topics with a compact and concise approach starting with the basic level and gradually developing up to the advanced level of mathematics that is fundamental in fields related to mathematics. engineering, biomedical and social. Our main objective is to cover all the necessary mathematics topics so that in the future, the student is in a position to face courses such as differential and integral calculus, vector calculus, differential equations, and others.During the last five years, the authors regularly taught the basic mathematics course and advanced courses in different professional schools of the National University of the Altiplano, the written notes that are presented began to materialize in the semesters 2021 - II and 2022 - I, considering the Valuable opinions and comments from students and colleagues who have greatly influenced the preparation and organization of the book's content. We are very grateful to our students and colleagues for their valuable input, and we look forward to receiving any comments or suggestions for future editions. Este libro está diseñado para estudiantes de pregrado que están iniciando su formación profesional en universidades públicas y privadas, el contenido del libro equivale al curso de matemática básica, que corresponde a estudios generales que se dicta en las distintas escuelas profesionales, una característica importante de este libro denominado “Matemática elemental para estudiantes universitarios” es la colección de ejercicios resueltos y propuestos, que coadyuvaran directamente en el desarrollo de sus capacidades y habilidades en resolución de ejercicios y problemas.Este libro trata de complementar los conocimientos previos adquiridos en el nivel secundario, y a su vez profundizar los temas, con un enfoque compacto y conciso comenzando con el nivel básico y desarrollando gradualmente hasta el nivel avanzado de las matemáticas que son fundamentales en campos relacionados a la ingeniería, biomédicas y sociales. Nuestro objetivo principal es cubrir todos los temas necesarios de las matemáticas para que en lo posterior el estudiante esté en condiciones de afrontar cursos como cálculo diferencial e integral, cálculo vectorial, ecuaciones diferenciales y otros.Durante los últimos cinco años los autores impartieron regularmente el curso de matemática básica y cursos avanzados en distintas escuelas profesionales de la Universidad Nacional del Altiplano, las notas escritas que se presentan empezaron a materializarse en los semestres 2021 - II y 2022 – I, considerando los valiosos opiniones y comentarios de los estudiantes y colegas que han influido enormemente para preparar y organizar el contenido del libro. Quedamos muy agradecidos a nuestros estudiantes y colegas por su valioso aporte, y esperamos en adelante recibir cualquier comentario o sugerencia para ediciones posteriores.

Mathematics --- Lógica proposicional --- Teoría de conjuntos --- Ecuaciones e inecuaciones --- Relaciones y Funciones

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The distant origins of this book are found in my lecture notes that I wrote and rewrote for several years. The traces are the constant smudges that I made from time to time when I rediscovered these topics, you may not like the way of presentation, but I put in the best possible effort, it is not something new either since there are many references at the end of the book; I'll be happy if it at least works for a study group, it's impossible to avoid slipping mistakes.Some frequently asked questions that we ask ourselves, What exactly is a differential equation? Where and how did they originate, what is their use? What is done with them, how are the results of such manipulations analyzed? These questions indicate guidelines to follow, study aspects: theoretical, methodological and various fields of applications.There are historical facts that inspire; for example, obtaining the equation of the tangent line to a given curve was one of the latent problems until the end of the 17th century, on the eve of the birth of differential calculus. From then on the job consisted of solving the inverse problem, finding different methods in view of the fact that very few equations can be solved by specific rules. After a little more than two centuries, it is still not possible to establish general rules for all types of differential equations The physical world is constantly changing, it is also up to differential equations to study this change as a natural phenomenon, the laws that govern it, search for a mathematical model that governs its laws and interpret it.Differential equations in general, constitute the mathematical essence for modeling and comprise a large number of events in: physics, economics, engineering, chemistry, biology, physiology and economics, medicine, mathematics, movement of celestial bodies such as planets, moons and artificial satellites, astronomy, among others. Therefore, differential equations play a crucial role for their study.The content is thinking above all to facilitate understanding by the student, providing the basic technique to face a problem. Which is why numerous examples are included and most proofs are carefully detailed. Although abstraction is important, it makes no sense to study differential equations without reference to practical problems. I want to express my appreciation: to the Faculty of the Department of Mathematics; the director of the general office of interdisciplinary research; to the Rector of the San Luis Gonzaga National University, for crystallizing my sabbatical year and allowing a happy ending for the culmination of this book; to the physicist Mg. Carlos Tenorio, for the paintings alluding to the theme and to my dear Ica; special thanks to the Editorial Fund IDICAP PACÍFICO for the publication in digital version; there are many people who read the manuscript, their comments were valuable; thank you all. Los distantes orígenes de este libro se encuentran en las notas de mis clases que escribí y reescribí por varios años. Las huellas son los constantes borrones que hice cada cierto tiempo que me reencontraba con estos temas, puede no gustarte la forma de presentación, pero puse el mejor esfuerzo posible, tampoco es algo nuevo ya que existen muchas referencias al final del libro; estaré a gusto si al menos sirve para un grupo de estudio, es imposible evitar que se deslice errores. Algunas preguntas frecuentes que nos hacemos, ¿Qué es exactamente una ecuación diferencial? ¿Dónde y cómo se originaron, cuál es su utilidad? ¿Qué se hace con ellas, cómo se analiza los resultados de tales manipulaciones? Estas interrogantes señalan pautas a seguir, estudiar aspectos: teóricos, metodológico y diversos campos de aplicaciones.Hay hechos históricos que inspiran; por ejemplo, la obtención de la ecuación de la recta tangente a una curva determinada, fue uno de los problemas latentes hasta fines del siglo XVII a vísperas del nacimiento del cálculo diferencial. En adelante el trabajo consistía en resolver el problema inverso, encontrar diferentes métodos en vista de que muy pocas ecuaciones pueden resolverse por reglas concretas. Transcurridos un poco más de dos siglos aun no es posible establecer reglas generales para todo tipo de ecuaciones diferenciales El mundo físico está en permanente cambio, también corresponde a las ecuaciones diferenciales estudiar este cambio como fenómeno natural, las leyes que rigen, buscar un modelo matemático que gobierna sus leyes e interpretarla.Las ecuaciones diferenciales en general, constituyen la esencia matemática para la modelización y comprende un gran número de eventos en: físicas, economía, ingeniería, química, biología, fisiología y economía, medicina, matemática, movimiento de cuerpos celestes tales como planetas, lunas y satélites artificiales, astronomía, entre otros. Por tanto, las ecuaciones diferenciales desempeñan un papel crucial para su estudio.El contenido está pensando sobre todo para facilitar la comprensión por parte del estudiante, brindándole la técnica básica para enfrentar a un problema. Razón por la cual se incluyen numerosos ejemplos y se detallan cuidadosamente la mayoría de las demostraciones. Si bien la abstracción es importante, no tiene sentido estudiar ecuaciones diferenciales sin hacer referencias a problemas prácticos. Quiero expresar mi aprecio: al cuerpo Docentes del Departamento de Matemática; al director de la oficina general de investigación interdisciplinaria; al Rector de la Universidad Nacional San Luis Gonzaga, por cristalizar mi año sabático y permitió un final feliz para culminación del presente libro; al físico Mg. Carlos Tenorio, por las pinturas alusivas al tema y a mi querida Ica; agradecimiento especial se merece el Fondo Editorial IDICAP PACÍFICO por la publicación en versión digital; son muchas las personas que leyeron el manuscrito, sus comentarios fueron valiosos; a todos gracias.

Differential equations --- Differential calculus --- linear equations --- Study and teaching --- Peru --- Calculus, Differential --- Calculus --- Bīr --- Dēmokratia tou Perou --- Gweriniaeth Periw --- Jumhūrī-i Pur --- Jumhūrīyat Bīr --- Lýðveldið Peru --- Pearu --- Peiri --- Periw --- Pérou --- Peru ka Fasojamana --- Perú Kiōng-hô-kok --- Peru Respublikası --- Perua Respubliko --- Peruánská republika --- Peruko Errepublika --- Perun tasavalta --- Peruo --- Peruu --- Peruu Vabariik --- Pheroo --- Piru --- Piruw --- Piruw Suyu --- Pobblaght ny Peroo --- Pur --- Republic of Peru --- República del Per --- Republica di u Per --- República do Per --- República Peruana --- Republiek van Peru --- Republik Peru --- Republika Peru --- Republikken Peru --- République du Pérou --- Rėspublika Peru --- South America --- Differential calculus & equations --- ecuaciones diferenciales --- ecuaciones lineales

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear partial differential equations and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phenomena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phenomena modeled by nonlinear partial differential equations.

Differential equations, Nonlinear. --- Differential equations, Partial. --- Differential equations, Nonlinear --- Differential equations, Partial --- Models, Theoretical --- Mathematics --- Investigative Techniques --- Natural Science Disciplines --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Disciplines and Occupations --- Models, Chemical --- Nonlinear Dynamics --- Models, Biological --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Physics --- Calculus --- Partial differential equations --- Nonlinear differential equations --- Mathematics. --- Dynamics. --- Ergodic theory. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Partial differential equations. --- Mathematical physics. --- Calculus of variations. --- Partial Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematical Applications in the Physical Sciences. --- Global Analysis and Analysis on Manifolds. --- Dynamical Systems and Ergodic Theory. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Physical mathematics --- Physics --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Math --- Science --- Nonlinear theories --- Differential equations, partial. --- Mathematical optimization. --- Global analysis. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Ecuaciones diferenciales parciales --- Biomatemáticas --- Differentiable dynamical systems --- Global analysis --- Mathematical optimization