Скачать книгу - Creer y Pensar: 365 reflexiones para un cristianismo integral

В чем успех любого человека? Как достичь успеха гарантированно? Почему один человек делает все с легкостью, а другой вынужден приложить усилия? Эта часть про процесс глобализации. Почему и как все связано. Как это учесть. Как это приводит меня к успеху.

This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within the same methodological scheme, the author presents the elements of theory of integration in an abstract space equipped with a measure; we cannot do without this in functional analysis, probability theory, etc. The majority of chapters are complemented with problems, mostly of the theoretical type. The book is mainly devoted to students of mathematics and related specialities. However, Part 1 can be successfully used by any student as a simple introduction to integration calculus.

This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology, chemistry, physics, and finances. The presentation is based on the naive stochastic integration, rather than on abstract theories of measure and stochastic processes. The proofs are rather simple for practitioners and, at the same time, rather rigorous for mathematicians. Detailed application examples in natural sciences and finance are presented. Much attention is paid to simulation diffusion processes. The topics covered include Brownian motion; motivation of stochastic models with Brownian motion; Ito and Stratonovich stochastic integrals, Ito’s formula; stochastic differential equations (SDEs); solutions of SDEs as Markov processes; application examples in physical sciences and finance; simulation of solutions of SDEs (strong and weak approximations). Exercises with hints and/or solutions are also provided.

An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.

Integrale Brucken erfordern weniger Aufwand in Wartung und Instandhaltung als konventionelle Brucken. Daher wird diese Bauweise sowohl im Neubaubereich als auch bei der Umrustung bestehender Bauwerke immer popularer. Insbesondere die Planung, aber auch die Ausfuhrung integraler Brucken, erfordert in einigen Bereichen besondere Aufmerksamkeit und Kenntnisse. Zwangsschnittgro?en sowie die Auswirkungen der Bauwerk-Baugrund-Interaktion mussen in der Bemessung und der konstruktiven Durchbildung entsprechend beachtet werden. Allerdings ermoglicht die Bauweise auch eine besondere Gestaltung, die dem integralen Tragverhalten Rechnung tragt und dieses in geeigneter Weise auch asthetisch umsetzen kann. Das Handbuch stellt das dafur notwendige Ingenieur-Know-how umfassend bereit und ist damit eine wertvolle Arbeitshilfe fur Entwurf, Ausfuhrung und Uberwachung integraler Brucken.