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El libro ¿Cómo llegar a ser un aprendiz estratégico de Cálculo Diferencial? Cuaderno de nivelación para iniciar el estudio de Cálculo Diferencial,nace a partir de la investigación titulada: "La mediación B-Learning para el aprendizaje estratégico de Cálculo Diferencial en los estudiantes de primer semestre de ingeniería, de la Universidad Pontificia Bolivariana, Seccional Bucaramanga", que surgió como respuesta a la necesidad de promover...
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Campañas de promoción del turismo, acercamiento de cometas a la Tierra, proyectos de explotación de yacimientos de gas son algunos de los infinitos temas en los que es posible plantear problemas matemáticos.
En ese sentido, Aplicaciones de matemática y cálculo a situaciones reales es una obra que busca innovar en la metodología de enseñanza de matemática a través de casos prácticos extraídos de la vida real, facilitando así el aprendizaje...
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Excellent text provides basis for thorough understanding of the problems, methods and techniques of the calculus of variations and prepares readers for the study of modern optimal control theory. Treatment limited to extensive coverage of single integral problems in one and more unknown functions. Carefully chosen variational problems and over 400 exercises. 1969 edition. Bibliography.
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A concise monograph by two Russian experts provides an account of the operational calculus in two variables based on the two-dimensional Laplace transform. Suitable for advanced undergraduates and graduate students in mathematics, the treatment requires some familiarity with operational calculus in one variable. Part One of the two-part approach presents the fundamental theory in two chapters, examining the two-dimensional Laplace transform and offering...
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Ideal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to be used in their solution. Many are followed by complete answers; solutions for the others appear at the end of the book. Topics include sequences, functions...
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Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective.
The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects...
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This rewarding text, beautifully illustrated by the author and written with superb clarity, offers undergraduate students a solid mathematical background and functions equally well for independent study. The five-part treatment begins with geometry, defining three-dimensional Euclidean space and its axioms, the coordinate system and coordinate transformation, and matrices. A review of vector algebra covers vector properties, multiplication, the resolution...
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This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences,...
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Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses difference-equations, including linear, mixed, and...
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Get the Summary of Steven Strogatz's Infinite Powers in 20 minutes. Please note: This is a summary & not the original book. "Infinite Powers" delves into the historical evolution of mathematics, tracing its origins from ancient civilizations' practical needs to the sophisticated realms of calculus and infinity. The book highlights how ancient counting systems and geometry laid the groundwork for later mathematical breakthroughs, including the development...
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How can you turn $1000 into $1 million? What is the best way to beat the lottery odds? When is the best time to take out a loan? How did one group of gamblers bet on hole-in-ones to win £500,000? How can maths help you set up a successful tech start-up? What about proving the Goldbach Conjecture for $1 million? Million Dollar Maths is a fun but invaluable guide to the straightforward and outlandish mathematical strategies that can make you rich....
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Filled with humorous illustrations as well as lively and absorbing mathematical learning, this calculus comic book requires only a familiarity with high school algebra and a sense of humor. Prof. E. McSquared introduces each concept in differential calculus in the form of a memorable character and helps readers develop their intuitive powers. A lifesaver for struggling students and a treat for the mathematically minded, the book includes helpful exercises...
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Valuable as both a text and a reference, this concise monograph starts with a consideration of the calculus of finite differences and advances to discussions of the gamma and psi functions and other methods of summation. Subsequent chapters offer a summation of tables and an examination of infinite sums. The treatment concludes with a table of finite sums and helpful indexes. This volume was written by a prominent mathematician and educator whose...
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Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition.
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Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment...
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El texto contiene un estudio geométrico de la curva, su extensión, ecuaciones analíticas y el trazado o construcción por puntos o de manera continua. También incluye: ecuaciones de tangentes, de normales, propiedades ópticas de la curva, y muchos otros aspectos. Además, los lectores podrán encontrar lecciones que los prepararán para adentrarse con éxito en la cinemática y la dinámica en general.
This geometric study of hyperbolas examines...
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Students progressing to advanced calculus are frequently confounded by the dramatic shift from mechanical to theoretical and from concrete to abstract. This text bridges the gap, offering a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. The first five chapters consist of a systematic development of many of the important properties of the real number system, plus...
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Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade...
39) Tensor Calculus
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Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more.
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Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics,...
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