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| fx equation solver: Solving Transcendental Equations John P. Boyd, 2014-10-23 Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute?not always needed, but indispensable when it is. The author?s goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations. Solving Transcendental Equations is unique in that it is the first book to describe the Chebyshev-proxy rootfinder, which is the most reliable way to find all zeros of a smooth function on the interval, and the very reliable spectrally enhanced Weyl bisection/marching triangles method for bivariate rootfinding, and it includes three chapters on analytical methods?explicit solutions, regular pertubation expansions, and singular perturbation series (including hyperasymptotics)?unlike other books that give only numerical algorithms for solving algebraic and transcendental equations. This book is written for specialists in numerical analysis and will also appeal to mathematicians in general. It can be used for introductory and advanced numerical analysis classes, and as a reference for engineers and others working with difficult equations. |
| fx equation solver: Differential Equations Problem Solver David Arterbum, 2012-06-14 REA’s Problem Solvers is a series of useful, practical, and informative study guides. Each title in the series is complete step-by-step solution guide. The Differential Equations Problem Solver enables students to solve difficult problems by showing them step-by-step solutions to Differential Equations problems. The Problem Solvers cover material ranging from the elementary to the advanced and make excellent review books and textbook companions. They're perfect for undergraduate and graduate studies. The Differential Equations Problem Solver is the perfect resource for any class, any exam, and any problem. |
| fx equation solver: Solving Higher-Order Equations Christian Prehofer, 2012-12-06 This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural formulations. The main assets of higher-order logic are quan tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction. |
| fx equation solver: Functional Equations and How to Solve Them Christopher G. Small, 2007-04-03 Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of solutions to each functional equation in explicit form. At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for further investigation of the concepts of limits, infinite series and continuity. |
| fx equation solver: Iterative Methods for Solving Nonlinear Equations and Systems Juan R. Torregrosa, Alicia Cordero, Fazlollah Soleymani, 2019-12-06 Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering. |
| fx equation solver: Solving Nonlinear Equations with Newton's Method C. T. Kelley, 2003-01-01 Contains trouble-shooting guides to the major algorithms for Newton's method, their common failure modes, and the likely causes of failure. |
| fx equation solver: Analytical Techniques for Solving Nonlinear Partial Differential Equations Daniel J. Arrigo, 2022-06-01 This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years. |
| fx equation solver: Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models Roman M. Cherniha, 2018-07-06 This book is a printed edition of the Special Issue Lie Theory and Its Applications that was published in Symmetry |
| fx equation solver: Skill in Mathematics - Algebra for JEE Main and Advanced Dr. S K Goyal, 2021-04-19 1. ‘Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. It is a highly recommended textbook to develop a strong grounding in Algebra 3. The book covers the entire syllabus into 11 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Algebraic Methods, while you are preparing for JEE Mains & Advanced or any other engineering. Bringing up the series “Skills in Mathematics for JEE Main & Advanced for Algebra” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 11 Chapters covering the whole syllabus for the JEE Mains and Advanced as prescribed. Each chapter is divided into sessions giving complete clarity to concepts. Apart from sessionwise theory, JEE Type examples and Chapter Exercise contain a huge amount of questions that are provided in every chapter under Practice Part. Prepared under great expertise, it is a highly recommended textbook to develop a strong grounding in Algebra to perform best in JEE and various engineering entrances. TOC: Complex Numbers, Theory of Equations, Sequences and Series, Logarithms and Their Properties, Permutations and Combinations, Binomial Theorems, Determinants, Matrices, Probability, Mathematical Inductions, Sets, Relations and Functions. |
| fx equation solver: Solving Ordinary Differential Equations I Ernst Hairer, Syvert P. Norsett, Gerhard Wanner, 2013-11-27 So far as I remember, I have never seen an Author's Pre face which had any purpose but one - to furnish reasons for the publication of the Book. (Mark Twain) Gauss' dictum, when a building is completed no one should be able to see any trace of the scaffolding, is often used by mathematicians as an excuse for neglecting the motivation behind their own work and the history of their field. For tunately, the opposite sentiment is gaining strength, and numerous asides in this Essay show to which side go my sympathies. (B. B. Mandelbrot, 1982) 'This gives us a good occasion to work out most of the book until the next year. (the Authors in a letter, dated c. kt. 29, 1980, to Springer Verlag) There are two volumes, one on non-stiff equations, now finished, the second on stiff equations, in preparation. The first volume has three chapters, one on classical mathematical theory, one on Runge Kutta and extrapolation methods, and one on multistep methods. There is an Appendix containing some Fortran codes which we have written for our numerical examples. Each chapter is divided into sections. Numbers of formulas, theorems, tables and figures are consecutive in each section and indi cate, in addition, the section number, but not the chapter number. Cross references to other chapters are rare and are stated explicitly. The end of a proof is denoted by QED (quod erat demonstrandum). |
| fx equation solver: Cambridge IGCSE® and O Level Additional Mathematics Coursebook Sue Pemberton, 2016-09-22 These resources have been created for the Cambridge IGCSE® and O Level Additional Mathematics syllabuses (0606/4037). This coursebook is for students and teachers following the Cambridge IGCSE® and O Level Additional Mathematics (0606/4037) syllabuses. It takes a practice-based approach, with explanations of mathematical concepts followed by exercises for students to practice the skills required and give them the confidence to apply them. The book contains classroom discussion exercises, extra challenge questions and examples of worked solutions. |
| fx equation solver: Analytical Methods for Solving Nonlinear Partial Differential Equations Daniel Arrigo, 2022-10-28 This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs. |
| fx equation solver: FE Mechanical Exam Prep , 2025-02-16 Have you ever wondered what it takes to pass one of the most challenging engineering exams on your first attempt? What if you could transform complex engineering principles into clear, practical knowledge that gives you the confidence to tackle any question? This comprehensive guide is designed for aspiring engineers who want to master every aspect of the FE Mechanical Exam. Covering a broad spectrum of topics, from fluid mechanics, thermodynamics, and heat transfer to mechanics of materials, machine design, and engineering ethics, this book breaks down each subject into clear, easy-to-understand explanations. Every concept is reinforced with real-world applications, ensuring you not only pass the exam but also build a strong foundation for your engineering career. Success on this exam isn’t just about memorization—it’s about strategic problem-solving and efficient time management. That’s why this book goes beyond theory, offering proven study techniques, calculator shortcuts, and exam-day strategies that will help you work smarter, not harder. Whether you're struggling with complex equations or need guidance on how to effectively use the NCEES FE Reference Handbook, this guide provides step-by-step instructions to maximize your performance. What truly sets this book apart is the 200 carefully crafted practice questions that simulate the real exam experience. Each question is accompanied by a detailed explanation, helping you understand not just the correct answer, but also the reasoning behind it. These practice problems are designed to sharpen your analytical skills, reinforce key concepts, and eliminate guesswork—ultimately giving you the edge you need on exam day. Passing the FE Mechanical Exam is the first step toward becoming a licensed Professional Engineer (PE), and with the right preparation, you can achieve this milestone with confidence. Are you ready to take control of your future and prove that you have what it takes to succeed? This book will guide you every step of the way. |
| fx equation solver: Solving Problems in Scientific Computing Using Maple and MATLAB® Walter Gander, Jiri Hrebicek, 2011-06-27 From the reviews: ... An excellent reference on undergraduate mathematical computing. American Mathematical Monthly ... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace... Computing Reviews ... The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation. Mathematics of Computation For this edition four chapters have been added. Some of the chapters of the previous editions were revised using new possibilities offered by Maple and MATLAB. Some interesting web pages related to Maple and MATLAB have been added in an appendix. Moreover, the editors have created a web page (www.SolvingProblems.inf.ethz.ch), where all Maple and MATLAB programs are available. |
| fx equation solver: Proceedings of the Third International Conference on Soft Computing for Problem Solving Millie Pant, Kusum Deep, Atulya Nagar, Jagdish Chand Bansal, 2014-07-08 The proceedings of SocProS 2013 serve as an academic bonanza for scientists and researchers working in the field of Soft Computing. This book contains theoretical as well as practical aspects of Soft Computing, an umbrella term for techniques like fuzzy logic, neural networks and evolutionary algorithms, swarm intelligence algorithms etc. This book will be beneficial for the young as well as experienced researchers dealing with complex and intricate real world problems for which finding a solution by traditional methods is very difficult. The different areas covered in the proceedings are: Image Processing, Cryptanalysis, Supply Chain Management, Newly Proposed Nature Inspired Algorithms, Optimization, Problems related to Medical and Health Care, Networking etc. |
| fx equation solver: GRE Prep 2023 For Dummies with Online Practice Ron Woldoff, 2022-06-21 Prepare efficiently and effectively for the Graduate Record Examination The Graduate Record Examination (GRE) is the most widely accepted graduate-school admissions test in the world. Over half a million people take the test every year. GRE Prep 2023 For Dummies with Online Practice is filled with useful, hands-on practice materials to help you reach your goals on this standardized test. The book teaches the verbal reasoning, quantitative reasoning, critical thinking, and analytical writing skills required in graduate school and on the exam, so that you can get into the school of your choice — even with a scholarship — and start your journey towards the career that you want. In the book, you’ll find: Updated strategies for acing text completion questions and learning words with common roots Practice for finding synonyms in sentence equivalence questions and argument analysis deconstructions Advanced techniques for reading comprehension questions Proven strategies for acing the math sections Step-by-step instructions for writing killer issue and argument essays Perfect for prospective graduate students seeking to take the GRE, GRE Prep 2023 For Dummies with Online Practice is a must-read handbook containing detailed content information, strategies for improving your score and testing well, along with plenty of opportunities to practice what you’ve learned. |
| fx equation solver: Theory of Linear and Integer Programming Alexander Schrijver, 1998-06-11 Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians. Contents 1 Introduction and preliminaries; 2 Problems, algorithms, and complexity; 3 Linear algebra and complexity; 4 Theory of lattices and linear diophantine equations; 5 Algorithms for linear diophantine equations; 6 Diophantine approximation and basis reduction; 7 Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 The structure of polyhedra; 9 Polarity, and blocking and anti-blocking polyhedra; 10 Sizes and the theoretical complexity of linear inequalities and linear programming; 11 The simplex method; 12 Primal-dual, elimination, and relaxation methods; 13 Khachiyan's method for linear programming; 14 The ellipsoid method for polyhedra more generally; 15 Further polynomiality results in linear programming; 16 Introduction to integer linear programming; 17 Estimates in integer linear programming; 18 The complexity of integer linear programming; 19 Totally unimodular matrices: fundamental properties and examples; 20 Recognizing total unimodularity; 21 Further theory related to total unimodularity; 22 Integral polyhedra and total dual integrality; 23 Cutting planes; 24 Further methods in integer linear programming; Historical and further notes on integer linear programming; References; Notation index; Author index; Subject index |
| fx equation solver: Transform Methods for Solving Partial Differential Equations Dean G. Duffy, 2004-07-15 Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana |
| fx equation solver: Solving Ordinary Differential Equations II Ernst Hairer, Gerhard Wanner, 2010-03-10 Whatever regrets may be, we have done our best. (Sir Ernest Shack 0 leton, turning back on 9 January 1909 at 88 23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential algebraic equations. It contains three chapters: Chapter IV on one-step (Runge-Kutta) meth ods for stiff problems, Chapter V on multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretical nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered con secutively in each section and indicate, in addition, the section number. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by author plus year in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete. |
| fx equation solver: Integrative Problem-Solving in a Time of Decadence George Christakos, 2010-12-10 Presents a unique study of Integrative Problem-Solving (IPS). The consideration of 'Decadence' is essential in the scientific study of environmental and other problems and their rigorous solution, because the broad context within which the problems emerge can affect their solution. Stochastic reasoning underlines the conceptual and methodological framework of IPS, and its formulation has a mathematical life of its own that accounts for the multidisciplinarity of real world problems, the multisourced uncertainties characterizing their solution, and the different thinking modes of the people involved. Only by interpolating between the full range of disciplines (including stochastic mathematics, physical science, neuropsychology, philosophy, and sociology) and the associated thinking modes can scientists arrive at a satisfactory account of problem-solving, and be able to distinguish between a technically complete problem-solution, and a solution that has social impact. |
| fx equation solver: Power System Dynamics and Control Harry G. Kwatny, Karen Miu-Miller, 2016-06-02 Whereas power systems have traditionally been designed with a focus on protecting them from routine component failures and atypical user demand, we now also confront the fact that deliberate attack intended to cause maximum disruption is a real possibility. In response to this changing environment, new concepts and tools have emerged that address many of the issues facing power system operation today. This book is aimed at introducing these ideas to practicing power systems engineers, control systems engineers interested in power systems, and graduate students in these areas. The ideas are examined with an emphasis on how they can be applied to improve our understanding of power system behavior and help design better control systems. The book is supplemented by a Mathematica package enabling readers to work out nontrivial examples and problems. Also included is a set of Mathematica tutorial notebooks providing detailed solutions of the worked examples in the text. In addition to Mathematica, simulations are carried out using Simulink with Stateflow. |
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| fx equation solver: Probability and Statistics with Applications: A Problem Solving Text Leonard Asimow, Ph.D., ASA, Mark Maxwell, Ph.D., ASA, 2015-06-30 This text is listed on the Course of Reading for SOA Exam P. Probability and Statistics with Applications is an introductory textbook designed to make the subject accessible to college freshmen and sophomores concurrent with Calc II and III, with a prerequisite of just one smester of calculus. It is organized specifically to meet the needs of students who are preparing for the Society of Actuaries qualifying Examination P and Casualty Actuarial Society's new Exam S. Sample actuarial exam problems are integrated throughout the text along with an abundance of illustrative examples and 870 exercises. The book provides the content to serve as the primary text for a standard two-semester advanced undergraduate course in mathematical probability and statistics. 2nd Edition Highlights Expansion of statistics portion to cover CAS ST and all of the statistics portion of CAS SAbundance of examples and sample exam problems for both Exams SOA P and CAS SCombines best attributes of a solid text and an actuarial exam study manual in one volumeWidely used by college freshmen and sophomores to pass SOA Exam P early in their college careersMay be used concurrently with calculus coursesNew or rewritten sections cover topics such as discrete and continuous mixture distributions, non-homogeneous Poisson processes, conjugate pairs in Bayesian estimation, statistical sufficiency, non-parametric statistics, and other topics also relevant to SOA Exam C. |
| fx equation solver: Circuit Systems with MATLAB and PSpice Won Y. Yang, 2012-03-02 1. Instead of the conventional method using the general/particular solutions to solve differential equations for the circuits containing inductors/capacitors, this book lays emphasis on the Laplace transform method for solving differential equations. We recommend taking the Laplace transform of electric circuits (containing inductors/capacitors) and setting up the transformed circuit equations directly in the unified framework (as if they were just made of resistors and sources) rather than setting up the circuit equations in the form of differential equations and then taking their Laplace transforms to solve them. The Laplace transform and the inverse Laplace transform are introduced in the Appendix. 2. This book presents several MATLAB programs that can be used to get the Laplace transformed solutions, take their inverse Laplace transforms, and plot the solutions along the time or frequency axis. The MATLAB programs can save a lot of time and effort for obtaining the solutions in the time domain or frequency domain so that readers can concentrate on establishing circuit equations, gaining insights to the problems, and making observations/interpretations of the solutions. 3. This book also introduces step by step how to use OrCAD/PSpice for circuit simulations. For circuit problems taking much time to solve by hand, the readers are recommended to use MATLAB and PSpice. This approach gives the readers not only information about the state of the art, but also self-confidence on the condition that the graphical solutions obtained by using the two software tools agree with each other. The OrCAD/PSpice is introduced in the Appendix. However, the portion of MATLAB and PSpice is kept not large lest the readers should be addicted to just using the software and tempted to neglect the importance of the basic circuit theory. 4. We make each example show something different from other examples so that readers can efficiently acquire the essential circuit analysis techniques and gain insights into the various types of circuits. On the other hand, instead of repeating similar exercise problems, we make most exercise problems arouse readers’ interest in practical application or help form a view for circuit application and design. 5. For representative examples, the analytical solutions are presented together with the results of MATLAB analysis (close to the theory) and PSpice simulation (close to the experiment) in the form of trinity. We are sure that this style of presentation will interest many students, attracting their attention to the topics on circuits efficiently. 6. Unlike most circuit books with a similar title, our book deals with positive-feedback op-amp circuits as well as negative-feedback op-amp circuits. |
| fx equation solver: Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations Santanu Saha Ray, Arun Kumar Gupta, 2018-01-12 The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations. |
| fx equation solver: The Art of Mathematical Problem Solving Richard M. Beekman, 2016-01-30 Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of panic and fear to finding a beautiful and elegant solution to a problem. |
| fx equation solver: Graphical Calculator Support Pack Peter Sherran, 2000 Numerous programming and graphing activities with calculator settings. Each activity is on one self-contained page. Hints and tips in a margin feature with machine specific guidance aids students understanding. A range of technique and contextual questions that build on each activity provides additional practice and challenges. Full answers to all questions so students can check their own progress. Linked with page numbers and topic areas to the Complete Advanced Level Mathematics: Pure Mathematics core book. An icon reinforcing linkages is provided in the core book margin feature. |
| fx equation solver: Mathematical Studies Standard Level for IB Diploma Exam Preparation Guide Paul Fannon, Vesna Kadelburg, Ben Woolley, Stephen Ward, 2014-03-20 A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the IB Diploma Mathematical Studies course breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Higher Level and Standard Level are also available. |
| fx equation solver: Numerical Methods for Engineers and Scientists Joe D. Hoffman, Steven Frankel, 2018-10-03 Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book ...a good, solid instructional text on the basic tools of numerical analysis. |
| fx equation solver: Numerical Methods for Nonlinear Engineering Models John R. Hauser, 2009-03-24 There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods. |
| fx equation solver: Data-Driven Evolutionary Modeling in Materials Technology Nirupam Chakraborti, 2022-09-15 Due to efficacy and optimization potential of genetic and evolutionary algorithms, they are used in learning and modeling especially with the advent of big data related problems. This book presents the algorithms and strategies specifically associated with pertinent issues in materials science domain. It discusses the procedures for evolutionary multi-objective optimization of objective functions created through these procedures and introduces available codes. Recent applications ranging from primary metal production to materials design are covered. It also describes hybrid modeling strategy, and other common modeling and simulation strategies like molecular dynamics, cellular automata etc. Features: Focuses on data-driven evolutionary modeling and optimization, including evolutionary deep learning. Include details on both algorithms and their applications in materials science and technology. Discusses hybrid data-driven modeling that couples evolutionary algorithms with generic computing strategies. Thoroughly discusses applications of pertinent strategies in metallurgy and materials. Provides overview of the major single and multi-objective evolutionary algorithms. This book aims at Researchers, Professionals, and Graduate students in Materials Science, Data-Driven Engineering, Metallurgical Engineering, Computational Materials Science, Structural Materials, and Functional Materials. |
| fx equation solver: Functions with the TI-84 Plus & TI-84 Plus SE Brendan Kelly, 2007 |
| fx equation solver: Beyond the Quadratic Formula Ron Irving, 2020-01-29 The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject. |
| fx equation solver: Linear Programming Robert J Vanderbei, 2013-07-16 This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises. |
| fx equation solver: Solving Hyperbolic Equations with Finite Volume Methods M. Elena Vázquez-Cendón, 2015-04-16 Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author’s experience giving PhD and master courses in different universities. In the book the introduction of new concepts and numerical methods go together with simple exercises, examples and applications that contribute to reinforce them. In addition, some of them involve the execution of MATLAB codes. The author promotes an understanding of common terminology with a balance between mathematical rigor and physical intuition that characterizes the origin of the methods. This book aims to be a first contact with finite volume methods. Once readers have studied it, they will be able to follow more specific bibliographical references and use commercial programs or open source software within the framework of Computational Fluid Dynamics (CFD). |
| fx equation solver: Differential Equations Antonio Ambrosetti, Shair Ahmad, 2023-12-18 The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of the chapters. In this edition complete solutions to all even number problems are given in the back of the book. The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition. |
| fx equation solver: Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering David E. Keyes, Yousef Saad, Donald G. Truhlar, 1995-01-01 This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible. |
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Watch full episodes and get the latest updates and information on all of your favorite FX and FXX shows.
Watch FXNOW Live TV & Stream Online - FX Networks
Watch FX original TV shows, movies and live TV on FX, FXX and FXM networks.
All Shows on FX
List of all shows available on FX Networks and streaming on Hulu.
TV Shows & Movies | FXNOW - FX Networks
Discover FX and FXX original TV shows and watch full episodes online. Browse blockbuster movies from FXM.
Stream on Hulu - FX
Watch past and current seasons of acclaimed and award-winning FX series on Hulu.
Watch Live TV & Stream Online - FX East Schedule - FX Networks
FX West Programming. In Like Flint. TV-MA. Only the Strong. TV-MA. The Intruder. TV-MA. The Transporter. TV-MA. FXM National Programming. FXM National Programming. The Simpsons. …
FX's Dying for Sex
FX’s Dying for Sex is inspired by the true story of Molly Kochan, originally shared on a Wondery podcast created with her best friend, Nikki Boyer. After Molly (Michelle Williams) receives a …
FX Drama TV Series | Stream on Hulu
American Horror Story. Drama. 12 Installments, 132 Episodes. FEUD. Drama. 2 Installments, 16 Episodes. Fargo. Drama. 5 Installments, 51 Episodes
FX - Fearless
Critically-acclaimed. Award-winning. Fearless. FX and FXX current, legacy and exclusive new original series. Stream on Hulu.
FXNOW - Watch Full Episodes of FX Shows & Movies
Watch current and prior seasons of acclaimed and award-winning FX series as well as new originals only on Hulu
Shows on FX
Watch full episodes and get the latest updates and information on all of your favorite FX and FXX shows.
Watch FXNOW Live TV & Stream Online - FX Networks
Watch FX original TV shows, movies and live TV on FX, FXX and FXM networks.
All Shows on FX
List of all shows available on FX Networks and streaming on Hulu.
