Differential Equations and Boundary Value Problems


Book Description

For introductory courses in Differential Equations. This text provides the conceptual development and geometric visualization of a modern differential equations course while maintaining the solid foundation of algebraic techniques that are still essential to science and engineering students. It reflects the new excitement in differential equations as the availability of technical computing environments likeMaple, Mathematica, and MATLAB reshape the role and applications of the discipline. New technology has motivated a shift in emphasis from traditional, manual methods to both qualitative and computer-based methods that render accessible a wider range of realistic applications. With this in mind, the text augments core skills with conceptual perspectives that students will need for the effective use of differential equations in their subsequent work and study.







LEV


Book Description




Lineability


Book Description

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for




Our Cosmic Origin


Book Description

In this new and exciting book you'll find out the true history of earth as it connects to the suppressed history of our galaxy. In a way where science, philosophy and spirituality finally come together as one. You'll come to understand the true origin of our species, our cosmic ancestry as it relates to endless worlds, other dimensions and multiple universes. I will open up your eyes about earths place in the multiverse and about a greater organization of cosmos that is being orchestrated by the multiple councils that exist on every level from the central universe to the local planetary systems. Most importantly, you will have a better understanding of our reality in terms of evidence that is currently being suppressed by a controlled Academia and scientific consensus.




RETRACTED BOOK: 151 Trading Strategies


Book Description

The book provides detailed descriptions, including more than 550 mathematical formulas, for more than 150 trading strategies across a host of asset classes and trading styles. These include stocks, options, fixed income, futures, ETFs, indexes, commodities, foreign exchange, convertibles, structured assets, volatility, real estate, distressed assets, cash, cryptocurrencies, weather, energy, inflation, global macro, infrastructure, and tax arbitrage. Some strategies are based on machine learning algorithms such as artificial neural networks, Bayes, and k-nearest neighbors. The book also includes source code for illustrating out-of-sample backtesting, around 2,000 bibliographic references, and more than 900 glossary, acronym and math definitions. The presentation is intended to be descriptive and pedagogical and of particular interest to finance practitioners, traders, researchers, academics, and business school and finance program students.




Applied Numerical Methods


Book Description

Interpolation and approximation; Numerical integration; Solution of equations; Matrices and related topics; Systems of equations; The approximation of the solution of ordinary differential equations; Approximation of the solution of partial differential equations; Statistical methods.




Mechanics of Materials


Book Description

This is a revised edition emphasising the fundamental concepts and applications of strength of materials while intending to develop students' analytical and problem-solving skills. 60% of the 1100 problems are new to this edition, providing plenty of material for self-study. New treatments are given to stresses in beams, plane stresses and energy methods. There is also a review chapter on centroids and moments of inertia in plane areas; explanations of analysis processes, including more motivation, within the worked examples.




Theory of Ordinary Differential Equations


Book Description

The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably contains more material than will ordinarily be covered in a one-year course. It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician.




Calculus, Volume 2


Book Description

Calculus, Volume 2, 2nd Edition An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation — this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.