Mathematical Techniques PDF Download
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| Author | : Dominic William Jordan |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 788 |
| Release | : 1997 |
| Genre | : Analyse mathématique |
| ISBN | : 9780198564614 |
Download Mathematical Techniques Book in PDF, ePub and Kindle
All students of engineering, science, and mathematics take courses on mathematical techniques or `methods', and large numbers of these students are insecure in their mathematical grounding. This book offers a course in mathematical methods for students in the first stages of a science or engineering degree. Its particular intention is to cover the range of topics typically required, while providing for students whose mathematical background is minimal. The topics covered are: * Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. * Complex numbers, matrix operations, and linear systems of equations. * Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals. * Laplace transforms and Fourier series and Fourier transforms. * Probability and statistics. The earlier part of this list consists largely of what is thought pre-university material. However, many science students have not studied mathematics to this level, and among those that have the content is frequently only patchily understood. Mathematical Techniques begins at an elementary level but proceeds to give more advanced material with a minimum of manipulative complication. Most of the concepts can be explained using quite simple examples, and to aid understanding a large number of fully worked examples is included. As far as is possible chapter topics are dealt with in a self-contained way so that a student only needing to master certain techniques can omit others without trouble. The widely illustrated text also includes simple numerical processes which lead to examples and projects for computation, and a large number of exercises (with answers) is included to reinforce understanding.
| Author | : William Simon |
| Publisher | : Courier Corporation |
| Total Pages | : 324 |
| Release | : 1986-01-01 |
| Genre | : Science |
| ISBN | : 9780486652474 |
Download Mathematical Techniques for Biology and Medicine Book in PDF, ePub and Kindle
Extremely useful volume reviews basic calculus, shows how physiological problems can be formulated in terms of differential equations. Techniques applied to often-encountered problems. Bibliography.
| Author | : Rutherford Aris |
| Publisher | : Courier Corporation |
| Total Pages | : 290 |
| Release | : 2012-06-29 |
| Genre | : Mathematics |
| ISBN | : 0486138895 |
Download Mathematical Modelling Techniques Book in PDF, ePub and Kindle
"Engaging, elegantly written." — Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity." Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. "A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." — Bulletin of the Institute of Mathematics and Its Applications
| Author | : Amir Sadr |
| Publisher | : John Wiley & Sons |
| Total Pages | : 278 |
| Release | : 2022-04-21 |
| Genre | : Business & Economics |
| ISBN | : 111983841X |
Download Mathematical Techniques in Finance Book in PDF, ePub and Kindle
Explore the foundations of modern finance with this intuitive mathematical guide In Mathematical Techniques in Finance: An Introduction, distinguished finance professional Amir Sadr delivers an essential and practical guide to the mathematical foundations of various areas of finance, including corporate finance, investments, risk management, and more. Readers will discover a wealth of accessible information that reveals the underpinnings of business and finance. You’ll learn about: Investment theory, including utility theory, mean-variance theory and asset allocation, and the Capital Asset Pricing Model Derivatives, including forwards, options, the random walk, and Brownian Motion Interest rate curves, including yield curves, interest rate swap curves, and interest rate derivatives Complete with math reviews, useful Excel functions, and a glossary of financial terms, Mathematical Techniques in Finance: An Introduction is required reading for students and professionals in finance.
| Author | : Mangey Ram |
| Publisher | : CRC Press |
| Total Pages | : 334 |
| Release | : 2018-05-04 |
| Genre | : Mathematics |
| ISBN | : 1351371886 |
Download Advanced Mathematical Techniques in Engineering Sciences Book in PDF, ePub and Kindle
The goal of this book is to publish the latest mathematical techniques, research, and developments in engineering. This book includes a comprehensive range of mathematics applied in engineering areas for different tasks. Various mathematical tools, techniques, strategies, and methods in engineering applications are covered in each chapter. Mathematical techniques are the strength of engineering sciences and form the common foundation of all novel disciplines within the field. Advanced Mathematical Techniques in Engineering Sciences provides an ample range of mathematical tools and techniques applied across various fields of engineering sciences. Using this book, engineers will gain a greater understanding of the practical applications of mathematics in engineering sciences. Features Covers the mathematical techniques applied in engineering sciences Focuses on the latest research in the field of engineering applications Provides insights on an international and transnational scale Offers new studies and research in modeling and simulation
| Author | : V.I. Arnol'd |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 530 |
| Release | : 2013-04-09 |
| Genre | : Mathematics |
| ISBN | : 1475720637 |
Download Mathematical Methods of Classical Mechanics Book in PDF, ePub and Kindle
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
| Author | : C.M. Linton |
| Publisher | : CRC Press |
| Total Pages | : 317 |
| Release | : 2001-02-26 |
| Genre | : Mathematics |
| ISBN | : 1420036068 |
Download Handbook of Mathematical Techniques for Wave/Structure Interactions Book in PDF, ePub and Kindle
Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the
| Author | : Jonathan Osborne |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 0 |
| Release | : 2011-05-05 |
| Genre | : |
| ISBN | : 9781461130871 |
Download Advanced Mathematical Techniques Book in PDF, ePub and Kindle
The purpose of this book is to illustrate to students both the techniques used in advanced analysis of physical systems and the reasons why these techniques work. Topics include infinite series and product expansions, asymptotic expansions, complex analysis, data fitting and physical models, integral transforms and their use in the solution of differential equations, statistical mechanics, finite and infinidimensional linear algebra, and the solution of the wave equation in one and two dimensions. This revised and updated edition contains all of the material from the first edition (corrected and expanded, especially in the chapter on orbits) as well as two new chapters, on complex variables and integral transformations. There are problems after each section, and answers to selected problems appear at the end. Chapter summaries have also been added at the end of each chapter.
| Author | : H. W. Wyld |
| Publisher | : CRC Press |
| Total Pages | : 395 |
| Release | : 2018-03-14 |
| Genre | : Science |
| ISBN | : 0429978642 |
Download Mathematical Methods For Physics Book in PDF, ePub and Kindle
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
| Author | : Larry C. Andrews |
| Publisher | : SPIE Press |
| Total Pages | : 822 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9780819445063 |
Download Mathematical Techniques for Engineers and Scientists Book in PDF, ePub and Kindle
"This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school. The authors (University of Central Florida) describe special functions, matrix methods, vector operations, the transformation laws of tensors, the analytic functions of a complex variable, integral transforms, partial differential equations, probability theory, and random processes. The book could also serve as a supplemental graduate text."--Memento.
