A Concrete Approach to Classical Analysis

A Concrete Approach to Classical Analysis

Author: Marian Muresan

Publisher: Springer Science & Business Media

Published: 2015-09-16

Total Pages: 443

ISBN-13: 0387789332

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Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises.


Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)

Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)

Author: John G Papastavridis

Publisher: World Scientific

Published: 2014-03-06

Total Pages: 1417

ISBN-13: 9814590363

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This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.


Concrete Planet

Concrete Planet

Author: Robert Courland

Publisher: Rowman & Littlefield

Published: 2022-06-21

Total Pages: 425

ISBN-13: 163388869X

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Concrete: We use it for our buildings, bridges, dams, and roads. We walk on it, drive on it, and many of us live and work within its walls. But very few of us know what it is. We take for granted this ubiquitous substance, which both literally and figuratively comprises much of modern civilization's constructed environment; yet the story of its creation and development features a cast of fascinating characters and remarkable historical episodes. Featuring a new epilogue on the Surfside condominium collapse and the current state of infrastructure in America, this book delves into this history, opening readers' eyes at every turn. In a lively narrative peppered with intriguing details, author Robert Courland describes how some of the most famous personalities of history became involved in the development and use of concrete-including King Herod the Great of Judea, the Roman emperor Hadrian, Thomas Edison (who once owned the largest concrete cement plant in the world), and architect Frank Lloyd Wright. Courland points to recent archaeological evidence suggesting that the discovery of concrete directly led to the Neolithic Revolution and the rise of the earliest civilizations. Much later, the Romans reached extraordinarily high standards for concrete production, showcasing their achievement in iconic buildings like the Coliseum and the Pantheon. Amazingly, with the fall of the Roman Empire, the secrets of concrete manufacturing were lost for over a millennium. The author explains that when concrete was rediscovered in the late eighteenth century it was initially viewed as an interesting novelty or, at best, a specialized building material suitable only for a narrow range of applications. It was only toward the end of the nineteenth century that the use of concrete exploded. During this rapid expansion, industry lobbyists tried to disguise the fact that modern concrete had certain defects and critical shortcomings. It is now recognized that modern concrete, unlike its Roman predecessor, gradually disintegrates with age. Compounding this problem is another distressing fact: the manufacture of concrete cement is a major contributor to global warming. Concrete Planet is filled with incredible stories, fascinating characters, surprising facts, and an array of intriguing insights into the building material that forms the basis of the infrastructure on which we depend.


Stochastic Models, Information Theory, and Lie Groups, Volume 1

Stochastic Models, Information Theory, and Lie Groups, Volume 1

Author: Gregory S. Chirikjian

Publisher: Springer Science & Business Media

Published: 2009-09-02

Total Pages: 397

ISBN-13: 0817648038

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This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.


3D Concrete Printing Technology

3D Concrete Printing Technology

Author: Jay G. Sanjayan

Publisher: Butterworth-Heinemann

Published: 2019-02-15

Total Pages: 451

ISBN-13: 0128154829

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3D Concrete Printing Technology provides valuable insights into the new manufacturing techniques and technologies needed to produce concrete materials. In this book, the editors explain the concrete printing process for mix design and the fresh properties for the high-performance printing of concrete, along with commentary regarding their extrudability, workability and buildability. This is followed by a discussion of three large-scale 3D printings of ultra-high performance concretes, including their processing setup, computational design, printing process and materials characterization. Properties of 3D-printed fiber-reinforced Portland cement paste and its flexural and compressive strength, density and porosity and the 3D-printing of hierarchical materials is also covered. - Explores the factors influencing the mechanical properties of 3D printed products out of magnesium potassium phosphate cement material - Includes methods for developing Concrete Polymer Building Components for 3D Printing - Provides methods for formulating geopolymers for 3D printing for construction applications