Mathematical Techniques
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Author | : Dominic William Jordan |
Publisher | : Oxford University Press, USA |
Total Pages | : 788 |
Release | : 1997 |
Genre | : Analyse mathématique |
ISBN | : 9780198564614 |
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 | : Rutherford Aris |
Publisher | : Courier Corporation |
Total Pages | : 300 |
Release | : 1994-01-01 |
Genre | : Technology & Engineering |
ISBN | : 9780486681313 |
"Engaging, elegantly written." — Applied Mathematical Modelling. A distinguished theoretical chemist and engineer discusses the types of models — finite, statistical, stochastic, and more — as well as how to formulate and manipulate them for best results. Filled with numerous examples, the book includes three appendices offering further examples treated in more detail.
Author | : Larry C. Andrews |
Publisher | : SPIE Press |
Total Pages | : 822 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9780819445063 |
"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.
Author | : Aleš Černý |
Publisher | : |
Total Pages | : 0 |
Release | : 2006 |
Genre | : Derivative securities |
ISBN | : 9788122417159 |
Modern Finance Overlaps With Many Fields Of Mathematics, And For Students This Can Represent Considerable Strain. Mathematical Techniques In Finance Is An Ideal Textbook For Masters Finance Courses With A Significant Quantitative Element While Also Being Suitable For Finance Ph.D. Students. Developed For The Highly Acclaimed Master Of Science In Finance Program At Imperial College London, It Offers A Carefully Crafted Blend Of Numerical Applications And Theoretical Grounding In Economics, Finance, And Mathematics.In The Best Engineering Tradition, Ale Cerný Mixes Tools From Calculus, Linear Algebra, Probability Theory, Numerical Mathematics, And Programming To Analyze In An Accessible Way Some Of The Most Intriguing Problems In Financial Economics. Eighty Figures, Over 70 Worked Examples, 25 Simple Ready-To-Run Computer Programs, And Several Spreadsheets Further Enhance The Learning Experience. Each Chapter Is Followed By A Number Of Classroom-Tested Exercises With Solutions Available On The Book'S Web Site.Applied Mathematics Is A Craft That Requires Practice This Textbook Provides Plenty Of Opportunities To Practice It And Teaches Cutting-Edge Finance Into The Bargain. Asset Pricing Is A Common Theme Throughout The Book; And Readers Can Follow The Development From Discrete One-Period Models To Continuous Time Stochastic Processes. This Textbook Sets Itself Apart By The Comprehensive Treatment Of Pricing And Risk Measurement In Incomplete Markets, An Area Of Current Research That Represents The Future In Risk Management And Investment Performance Evaluation.This Special Low-Priced Edition Is For Sale In India, Bangladesh, Bhutan, Maldives, Nepal, Myanmar, Pakistan And Sri Lanka Only.
Author | : Amir Sadr |
Publisher | : John Wiley & Sons |
Total Pages | : 278 |
Release | : 2022-04-21 |
Genre | : Business & Economics |
ISBN | : 111983841X |
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 | : 402 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 1351371886 |
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 | : Carl M. Bender |
Publisher | : Springer Science & Business Media |
Total Pages | : 605 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475730691 |
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
Author | : Jonathan Osborne |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 0 |
Release | : 2011-05-05 |
Genre | : |
ISBN | : 9781461130871 |
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 | : Don K Mak |
Publisher | : World Scientific |
Total Pages | : 322 |
Release | : 2006-04-20 |
Genre | : Business & Economics |
ISBN | : 9814478431 |
The present book contains much more materials than the author's previous book The Science of Financial Market Trading. Spectrum analysis is again emphasized for the characterization of technical indicators employed by traders and investors. New indicators are created. Mathematical analysis is applied to evaluate the trading methodologies practiced by traders to execute a trade transaction. In addition, probability theory is employed to appraise the utility of money management techniques.The book: identifies the faultiness of some of the indicators used by traders and accentuates the potential of wavelets as a trading tool; describes the scientific evidences that the market is non-random, and that the non-randomness can vary with respect to time; demonstrates the validity of the claim by some traders that, with good money management techniques, the market is still profitable even if it were random; and analyzes why a popular trading tactic has a good probability of success and how it can be improved.
Author | : H. W. Wyld |
Publisher | : CRC Press |
Total Pages | : 395 |
Release | : 2018-03-14 |
Genre | : Science |
ISBN | : 0429978642 |
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.