Calculus And Linear Algebra In Recipes

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Calculus And Linear Algebra In Recipes
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Author : Christian Karpfinger
language : en
Publisher: Springer Nature
Release Date : 2022-11-08
Calculus And Linear Algebra In Recipes written by Christian Karpfinger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-08 with Mathematics categories.
This book provides a clear and easy-to-understand introduction to higher mathematics with numerous examples. The author shows how to solve typical problems in a recipe-like manner and divides the material into short, easily digestible learning units. Have you ever cooked a 3-course meal based on a recipe? That generally works quite well, even if you are not a great cook. What does this have to do with mathematics? Well, you can solve a lot of math problems recipe-wise: Need to solve a Riccati's differential equation or the singular value decomposition of a matrix? Look it up in this book, you'll find a recipe for it here. Recipes are available for problems from the · Calculus in one and more variables, · linear algebra, · Vector Analysis, · Theory on differential equations, ordinary and partial, · Theory of integral transformations, · Function theory. Other features of this book include: · The division of Higher Mathematics into approximately 100 chapters of roughly equal length. Each chapter covers approximately the material of a 90-minute lecture. · Many tasks, the solutions to which can be found in the accompanying workbook. · Many problems in higher mathematics can be solved with computers. We always indicate how it works with MATLAB®. For the present 3rd edition, the book has been completely revised and supplemented by a section on the solution of boundary value problems for ordinary differential equations, by the topic of residue estimates for Taylor expansions and by the characteristic method for partial differential equations of the 1st order, as well as by several additional problems.
Calculus And Linear Algebra In Recipes
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Author : Christian Karpfinger
language : en
Publisher:
Release Date : 2022
Calculus And Linear Algebra In Recipes written by Christian Karpfinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Algebras, Linear categories.
Have you ever cooked a 3-course meal from a recipe? That generally works out pretty well, even if you're not much of a cook. What does this have to do with mathematics? Well, you can solve a lot of math problems recipe-wise, too: Need to solve a Riccati's differential equation or the singular value decomposition of a matrix? Look it up in this book, you'll find a recipe for it here. Recipes are available for problems in the following topics: Calculus in one and more variables, linear algebra, vector analysis, theory on differential equations, ordinary and partial, and complex analysis. We have tried to summarize these recipes as good and also as understandable as possible in this book. It is often said that one must understand higher mathematics in order to be able to apply it. We show in this book that understanding also comes naturally by doing: no one learns the grammar of a language from cover to cover if he wants to learn a language. You learn a language by reading up a bit on the grammar and then getting going; you have to speak, make mistakes, have mistakes pointed out to you, know example sentences and recipes, work out topics in tidbits, then it works. In higher mathematics it is no different. Other features of this book include: The division of calculus and linear algebra into approximately 100 chapters of roughly equal length. Each chapter covers approximately the material of a 90-minute lecture. Numerous examples. Many tasks, the solutions to which can be found in the accompanying workbook. Many problems in calculus and linear algebra can be solved with computers. We always indicate how it works with MATLAB®. Due to the clear presentation, the book can also be used as an annotated collection of formulas with numerous examples. Prof. Dr. Christian Karpfinger teaches at the Technical University of Munich; in 2004 he received the State Teaching Award of the Free State of Bavaria. This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com).
Computer Algebra Recipes For Classical Mechanics
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Author : Richard H. Enns
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Algebra Recipes For Classical Mechanics written by Richard H. Enns and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Hundreds of novel and innovative computer algebra "recipes" will enable readers starting at the second year undergraduate level to easily and rapidly solve and explore most problems they encounter in their classical mechanics studies. Using the powerful computer algebra system MAPLE (Release 8) - no prior knowledge of MAPLE is presumed - the relevant command structures are explained on a need-to-know basis as the recipes are developed. This new problem-solving guide can serve in the classroom or for self-study, for reference, or as a text for an on-line course.
Computer Algebra Recipes For Mathematical Physics
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Author : Richard H. Enns
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-20
Computer Algebra Recipes For Mathematical Physics written by Richard H. Enns and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-20 with Science categories.
* Uses a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn * Self-contained and standalone text that may be used in the classroom, for an online course, for self-study, as a reference * Using MAPLE allows the reader to easily and quickly change the models and parameters
Service Oriented Computing
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Author : Marco Aiello
language : en
Publisher: Springer Nature
Release Date : 2024-10-18
Service Oriented Computing written by Marco Aiello and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-18 with Computers categories.
This book constitutes the refereed proceedings of the 18th Symposium and Summer School on Service-Oriented Computing, SummerSOC 2024, held in Crete, Greece, during June 24–29, 2024. The 8 revised full papers and 1 short paper presented in these proceedings were carefully reviewed and selected from 24 submissions. They cover the following topics: modeling the digital world; quantum computing; data platforms.
Computer Algebra Recipes
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Author : Richard H. Enns
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31
Computer Algebra Recipes written by Richard H. Enns and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.
This book presents a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.
Calculus Concept And Applications
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Author : Dr. Sivasankar
language : en
Publisher: Shineeks Publishers
Release Date : 2024-05-21
Calculus Concept And Applications written by Dr. Sivasankar and has been published by Shineeks Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-21 with Education categories.
Calculus is a cornerstone of modern mathematics and serves as a vital tool for understanding the world around us. From modeling the growth of populations to predicting the trajectory of rockets, the concepts of calculus are deeply embedded in the fabric of science, engineering, economics, and numerous other fields. This book, Introduction to Calculus, is designed to offer a comprehensive yet accessible exploration of calculus, bridging foundational theory with practical applications. The journey begins with a focus on the Introduction to Calculus, offering a conceptual framework by exploring rates of change, the historical context of its development, and its significance in various disciplines. This historical perspective not only situates calculus within the broader narrative of mathematical discovery but also demonstrates its lasting impact on various scientific and engineering endeavors. In subsequent chapters, we delve deeper into key topics that form the core of calculus. The chapter on Functions and Limits establishes the groundwork by explaining fundamental concepts such as functions, types of functions, and limits. These ideas serve as the building blocks for the study of Differentiation and Integration, where the rules and techniques are systematically explored. Each chapter is structured to introduce new concepts gradually, followed by relevant applications—optimization, curve sketching, and areas under curves—to show the tangible use of calculus in real-world problem-solving. Beyond the basics, the book expands to cover more advanced topics. The chapters on Differential Equations introduce first-order equations and their practical applications, while Sequences and Series provide insights into the behavior of infinite processes, such as Taylor and Maclaurin series. A special section on Multivariable Calculus addresses functions of several variables, partial derivatives, and vector calculus, extending the scope of the reader’s understanding into more complex dimensions. Recognizing the interdisciplinary nature of calculus, we have included a chapter dedicated to its applications in Science and Engineering. This section illustrates how calculus supports the exploration of phenomena in physics, engineering, economics, and biology, emphasizing its broad relevance. The final chapters introduce readers to Advanced Topics in Calculus, including nonlinear differential equations, Laplace transforms, and Fourier series, as well as computational tools such as MATLAB, Mathematica, and Python. These computational tools allow readers to apply numerical methods and visualize calculus problems in ways that were previously unimaginable. The aim of this book is to provide a clear, structured, and engaging approach to learning calculus, regardless of the reader’s background or experience level. Whether you are a student embarking on your first encounter with calculus or a professional looking to refresh your knowledge, we hope this book will guide you through both the theoretical and practical aspects of the subject. We encourage you to engage deeply with the exercises and real-world applications provided in each chapter. By doing so, you will not only master the fundamental concepts but also gain an appreciation for the elegance and power of calculus.
Applying Math With Python
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Author : Sam Morley
language : en
Publisher: Packt Publishing Ltd
Release Date : 2022-12-09
Applying Math With Python written by Sam Morley and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-09 with Computers categories.
Discover easy-to-follow solutions and techniques to help you to implement applied mathematical concepts such as probability, calculus, and equations using Python's numeric and scientific libraries Key Features Compute complex mathematical problems using programming logic with the help of step-by-step recipes Learn how to use Python libraries for computation, mathematical modeling, and statistics Discover simple yet effective techniques for solving mathematical equations and apply them in real-world statistics Book Description The updated edition of Applying Math with Python will help you solve complex problems in a wide variety of mathematical fields in simple and efficient ways. Old recipes have been revised for new libraries and several recipes have been added to demonstrate new tools such as JAX. You'll start by refreshing your knowledge of several core mathematical fields and learn about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you progress, you'll gradually get to grips with more advanced topics of calculus, probability, and networks (graph theory). Once you've developed a solid base in these topics, you'll have the confidence to set out on math adventures with Python as you explore Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science. What you will learn Become familiar with basic Python packages, tools, and libraries for solving mathematical problems Explore real-world applications of mathematics to reduce a problem in optimization Understand the core concepts of applied mathematics and their application in computer science Find out how to choose the most suitable package, tool, or technique to solve a problem Implement basic mathematical plotting, change plot styles, and add labels to plots using Matplotlib Get to grips with probability theory with the Bayesian inference and Markov Chain Monte Carlo (MCMC) methods Who this book is for Whether you are a professional programmer or a student looking to solve mathematical problems computationally using Python, this is the book for you. Advanced mathematics proficiency is not a prerequisite, but basic knowledge of mathematics will help you to get the most out of this Python math book. Familiarity with the concepts of data structures in Python is assumed.
Game Physics Cookbook
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Author : Gabor Szauer
language : en
Publisher: Packt Publishing Ltd
Release Date : 2017-03-24
Game Physics Cookbook written by Gabor Szauer and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-24 with Computers categories.
Collision Detection and Rigid body physics for Game Development Key Features Get a comprehensive coverage of techniques to create high performance collision detection in games Learn the core mathematics concepts and physics involved in depicting collision detection for your games Get a hands-on experience of building a rigid body physics engine Book DescriptionPhysics is really important for game programmers who want to add realism and functionality to their games. Collision detection in particular is a problem that affects all game developers, regardless of the platform, engine, or toolkit they use. This book will teach you the concepts and formulas behind collision detection. You will also be taught how to build a simple physics engine, where Rigid Body physics is the main focus, and learn about intersection algorithms for primitive shapes. You’ll begin by building a strong foundation in mathematics that will be used throughout the book. We’ll guide you through implementing 2D and 3D primitives and show you how to perform effective collision tests for them. We then pivot to one of the harder areas of game development—collision detection and resolution. Further on, you will learn what a Physics engine is, how to set up a game window, and how to implement rendering. We’ll explore advanced physics topics such as constraint solving. You’ll also find out how to implement a rudimentary physics engine, which you can use to build an Angry Birds type of game or a more advanced game. By the end of the book, you will have implemented all primitive and some advanced collision tests, and you will be able to read on geometry and linear Algebra formulas to take forward to your own games!What you will learn Implement fundamental maths so you can develop solid game physics Use matrices to encode linear transformations Know how to check geometric primitives for collisions Build a Physics engine that can create realistic rigid body behavior Understand advanced techniques, including the Separating Axis Theorem Create physically accurate collision reactions Explore spatial partitioning as an acceleration structure for collisions Resolve rigid body collisions between primitive shapes Who this book is for This book is for beginner to intermediate game developers. You don’t need to have a formal education in games—you can be a hobbyist or indie developer who started making games with Unity 3D.
Complex Analysis
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Author : Dennis G. Zill
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2013-09-20
Complex Analysis written by Dennis G. Zill and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-20 with Mathematics categories.
Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software. --