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This text explores a topic of perennial interest in mathematics. The author, a distinguished mathematician and formulator of the Hurewicz theorem, presents a clear and lucid treatment that emphasizes geometric methods. Topics include first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. Suitable for senior mathematics students, the text begins with an examination of...
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Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics and they are mostly clever fools seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to...
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By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds. Part I of the text features introductory...
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This concise applications-oriented text is intended for undergraduate students in engineering, mathematics, and other areas of science. The first chapters focus on solutions of first order equations, linear equations with constant coefficients, and simultaneous equations and reducible equations. Subsequent chapters explore the method of solution by infinite series and the more important special functions of mathematical physics. The treatment examines...
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This accessible and self-contained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman - Director of the Mathematical Biosciences Institute at The Ohio State University - offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations. Subsequent chapters...
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Español
Description
Ecuaciones diferenciales recoge nuestra experiencia como profesores del curso sobre este tema, y presenta un texto más acorde a las necesidades académicas de los estudiantes. A pesar de la gran cantidad de libros publicados, la mayoría no han sido escritos bajo la óptica de los programas
académicos de nuestras universidades. La finalidad primordial es ayudar al estudiante a apropiarse de los conceptos básicos de un curso universitario de Ecuaciones...
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This volume covers many major types of classical equations, including operator equations, functional equations, difference equations, delay-differential equations, integral equations, integro-differential equations, and stochastical differential equations. Its clear organization and copious references make it suitable for graduate students as well as scientists, technologists, and mathematicians.
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Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants:
résoudre des équations différentielles de divers ordres
systèmes d'équations différentielles
Problèmes de valeurs initiales de Cauchy et Neumann.
Des premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
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Description
This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading. Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment...
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English
Description
In this book, exercises are carried out regarding the following mathematical topics:
solving first-order partial-derivative differential equations
solving second-order partial derivative differential equations: elliptic, parabolic and hyperbolic
weak problem formulation
Initial theoretical hints are also presented to make the conduct of the exercises understandable.
Author
Language
Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :résoudre des équations aux dérivées partielles du premier ordrerésolution d'équations aux dérivées partielles du second ordre : elliptiques, paraboliques et hyperboliquesformulation faible du problèmeDes premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
Author
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Español
Description
Esta obra fue desarrollada a partir de las notas de clase de la asignatura "Fundamentos de Estadística" en los programas de Psicología, Relaciones Internacionales y Comunicación Social de la Universidad del Norte, y puede ser de utilidad en otras áreas de las Ciencias Sociales. Está dividida en tres capítulos: "Estadística descriptiva", "Distribuciones de probabilidad" y "Estadística inferencial", cada uno de los cuales contiene ejercicios...
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Español
Description
En este libro se realizan ejercicios sobre los siguientes temas matemáticos:
resolución de ecuaciones diferenciales de varios órdenes
sistemas de ecuaciones diferenciales
Problemas de valores iniciales de Cauchy y Neumann.
También se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.
Author
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English
Description
Upon its initial 1977 publication, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era. Now it remains a permanent, much-cited contribution to the ever-expanding literature on partial differential...
Author
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Español
Description
En este libro se realizan ejercicios sobre los siguientes temas matemáticos:resolver ecuaciones diferenciales derivadas parciales de primer ordenresolución de ecuaciones diferenciales derivadas parciales de segundo orden: elípticas, parabólicas e hiperbólicasformulación débil del problemaTambién se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.
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English
Description
This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations.
The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent...
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Series
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English
Description
Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
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English
Description
John A. Adam is professor of mathematics at Old Dominion University. He is the author of A Mathematical Nature Walk and Mathematics in Nature, and coauthor of Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin (all Princeton).
What mathematical modeling uncovers about life in the city
X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions...
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English
Description
"Honorable Mention for the 2016 PROSE Award in Mathematics, Association of American Publishers" Frank A. Farris teaches mathematics at Santa Clara University. He is a former editor of Mathematics Magazine, a publication of the Mathematical Association of America. He lives in San Jose, California.
A step-by-step illustrated introduction to the astounding mathematics of symmetry
This lavishly illustrated book provides a hands-on, step-by-step introduction...
Author
Language
Français
Description
Les équations différentielles sont apparues historiquement tout au début du développement de l'analyse, en général à l'occasion de problèmes de mécanique ou de géométrie. Si, dans les premières investigations, l'on s'attachait surtout à en calculer les solutions au moyen de fonctions déjà connue...
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