William E Schiesser Differential Equation Analysis In Biomedical Science And Engineering Partial Differential Equation Applications With R Wiley 2014 | 2.22 MB
English | 344 Pages

Title: Differential Equation Analysis in Biomedical Science and Engineering : Partial Differential Equation Applications with R
Author: Schiesser, William E.(Author)
Year: 2014

English | 2022 | ISBN: 9811697582 | 308 pages | True PDF EPUB | 440.43 MB
Aiming to equip readers with the knowledge required for accurate and timely diagnosis, this book presents illustrative cases that address a broad spectrum of clinical problems, including frequent, uncommon and rare diseases of brain, head and neck, spine, musculoskeletal system, chest and abdomen. To make readers understand easily, tips in differential diagnosis are summarized in the table, accompanying with typical images and key teaching points. It will be a valuable resource for diagnostic radiologists, residents, fellows, and related clinical doctors.

English | 2022 | ISBN: 1685075924, 978-1685075927 | 364 pages | True PDF | 8.64 MB
The laws of nature are written in the language of partial differential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the field suitable for senior undergraduate and junior graduate students. Introductory courses in partial differential equations (PDEs) are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to derive exact solutions of some simplified problems. Students who learn about computational techniques in other courses subsequently realize the scope of partial differential equations beyond paper and pencil. Our book is significantly different from the existing ones. We introduce both analytical theory, including the theory of classical solutions and that of weak solutions, and introductory techniques of ill-posed problems with reference to weak solutions. Besides, since computational techniques are commonly available and are currently used in all practical applications of partial differential equations, we incorporate classical finite difference methods and finite element methods in our book.

English | 2022 | ISBN: 1470464918 | 647 pages | True PDF | 16.71 MB
While partial differential equations (PDEs) are fundamental in mathematics and throughout the sciences, most undergraduate students are only exposed to PDEs through the method of separation of variations. This text is written for undergraduate students from different cohorts with one sole purpose: to facilitate a proficiency in many core concepts in PDEs while enhancing the intuition and appreciation of the subject. For mathematics students this will in turn provide a solid foundation for graduate study. A recurring theme is the role of concentration as captured by Dirac's delta function. This both guides the student into the structure of the solution to the diffusion equation and PDEs involving the Laplacian and invites them to develop a cognizance for the theory of distributions. Both distributions and the Fourier transform are given full treatment.

English | 2022 | ISBN: 1032014458, 978-1032014456 | 284 pages | True PDF | 7.52 MB
Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas-Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems.
Features

Principles of Partial Differential Equations by Alexander Komech
English | PDF(True) | 2009 | 165 Pages | ISBN : 1441910956 | 3.2 MB
This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques.

English | 2022 | ISBN: 1685074774 | 384 pages | True PDF | 3.73 MB
This is the second edition of Foundations of Iso-Differential Calculus, Volume 1, which gives an overview of the development of iso-differential calculus. The second edition introduces a new class of iso-functions, named iso-functions of the fifth kind. Also, further examples, exercises and problems have been added. Chapter 1 reviews Ruggero Maria Santilli's scientific journey, identifying its most important references. Chapter 2 introduces iso-real numbers, some basic functions and their properties. Chapter 3 defines sequences of iso-real numbers and deduces their properties. Chapter 4 gives definitions for five kinds of iso-functions and outlines their properties. Chapter 5 introduces the limits of iso-functions and continuous iso-functions. Chapter 6 presents the first comprehensive study of iso-differential calculus for the specific intent of showing its non-triviality. Chapter 7 reflects integral calculus in the language of iso-mathematics. Lastly, Chapter 8 outlines the isodual iso-mathematics and presents the first comprehensive study of isodual iso-differential calculus.

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English + srt | Duration: 60 lectures (8h 34m) | Size: 3.64 GB

Differential Equations Step by Step | Formation of Differential Equations | Solution of Differential Equations

English | 20222 | ISBN: 0128241608 | 610 pages | True PDF EPUB | 109.43 MB
Differential Equations with Mathematica, Fifth Edition uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists.
Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, Mathematica can be used to perform the calculations encountered when solving a differential equation.

Differential Equations and Their Applications: An Introduction to Applied Mathematics by Martin Braun
English | PDF | 1993 | 595 Pages | ISBN : 0387978941 | 39.5 MB
There are two major changes in the Fourth Edition of Differential Equations and Their Applications. The first concerns the computer programs in this text. In keeping with recent trends in computer science, we have replaced all the APL programs with Pascal and C programs. The Pascal programs appear in the text in place of the APL programs, where they are followed by the Fortran programs, while the C programs appear in Appendix C.