Download or read book A Journey Into the World of Exponential Functions written by Gautam Bandyopadhyay and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number e, the function ex, the logarithmic function in (x) and different hyperbolic functions like cosh (x), sinh (x) make frequent appearances in science and engineering textbooks. Students often fail to appreciate the significance of these mathematical symbols. This book clearly illustrates why such abstract mathematical entities are needed to represent some aspects of physical reality. It provides an overview of different types of numbers and functions along with their historical background and applications. It contains four chapters covering number system, exponential function, logarithmic functions and hyperbolic functions along with the concept of complex angle. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan)

Download or read book A Journey into the World of Exponential Functions written by Gautam Bandyopadhyay and published by CRC Press. This book was released on 2023-06-16 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number e, the function ex, the logarithmic function in (x) and different hyperbolic functions like cosh (x), sinh (x) make frequent appearances in science and engineering textbooks. Students often fail to appreciate the significance of these mathematical symbols. This book clearly illustrates why such abstract mathematical entities are needed to represent some aspects of physical reality. It provides an overview of different types of numbers and functions along with their historical background and applications. It contains four chapters covering number system, exponential function, logarithmic functions and hyperbolic functions along with the concept of complex angle. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan)

Download or read book Exponential and Logarithmic Functions written by Adam J Wick and published by Independently Published. This book was released on 2024-04-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome to the fascinating world of Exponential and Logarithmic Functions, a little book designed to guide high school and early college students. This book is not just a collection of formulas and theorems, but a journey into the heart of mathematical thinking, where we will explore the beauty, elegance, and practicality of exponential and logarithmic functions. Exponential and logarithmic functions are fundamental to many areas of science, engineering, and economics. They are the backbone of concepts such as compound interest, population growth, radioactive decay, and the behavior of viruses, to name just a few. Understanding these functions is not only crucial for your mathematical education but also for comprehending the world around us. This book is designed to make these complex concepts accessible and engaging. We present the material in a clear, concise manner, with a focus on understanding rather than memorizing. Each chapter begins with an introduction to the topic, followed by detailed explanations, and examples designed to reinforce your understanding. We understand that every student has a unique learning style, and we have therefore included a variety of teaching tools, including diagrams, graphs, and step-by-step problem-solving strategies. We also encourage active learning, with practice problems that will challenge you to apply what you've learned in new and interesting ways. Remember, mathematics is not a spectator sport. It requires active participation, curiosity, and a willingness to grapple with challenging problems. It's okay to struggle, to make mistakes, and to feel confused at times. These are all part of the learning process. What's important is to keep an open mind, to ask questions, and to never stop learning. We hope that this book will not only help you succeed in your coursework but also inspire a lifelong appreciation for the beauty and power of mathematics. So, let's embark on this journey together, exploring the intriguing world of exponential and logarithmic functions. Welcome to the adventure!

Download or read book A Mathematical Journey to Quantum Mechanics written by Salvatore Capozziello and published by Springer Nature. This book was released on 2021-09-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered.The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.

Download or read book Journey Into the World of Exponential Fucntions written by Gautam Bandyopadhyay and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number e, the function ex, the logarithmic function in (x) and different hyperbolic functions like cosh (x), sinh (x) make frequent appearances in science and engineering textbooks. Students often fail to appreciate the significance of these mathematical symbols. This book clearly illustrates why such abstract mathematical entities are needed to represent some aspects of physical reality. It provides an overview of different types of numbers and functions along with their historical background and applications. It contains four chapters covering number system, exponential function, logarithmic functions and hyperbolic functions along with the concept of complex angle. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan)

Download or read book Essential Euler Unraveling the Core Concepts of e written by N.B. Singh and published by N.B. Singh. This book was released on with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Essential Euler: Unraveling the Core Concepts of e" is a concise yet comprehensive guide that explores the fundamental concepts surrounding the mathematical constant 'e'. Written for both beginners and enthusiasts, this book provides clear explanations and practical examples to demystify the significance of 'e' in calculus, finance, and exponential growth. From its origins to its applications in various fields, readers will gain a deeper understanding of 'e' and its role as one of the most important constants in mathematics. Whether you're a student, mathematician, or curious mind, "Essential Euler" offers invaluable insights into the essence of 'e' and its impact on the world of mathematics and beyond.

Download or read book The Calculus of Happiness written by Oscar E. Fernandez and published by Princeton University Press. This book was released on 2019-07-09 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: How math holds the keys to improving one's health, wealth, and love life? What's the best diet for overall health and weight management? How can we change our finances to retire earlier? How can we maximize our chances of finding our soul mate? In The Calculus of Happiness, Oscar Fernandez shows us that math yields powerful insights into health, wealth, and love. Using only high-school-level math (precalculus with a dash of calculus), Fernandez guides us through several of the surprising results, including an easy rule of thumb for choosing foods that lower our risk for developing diabetes (and that help us lose weight too), simple "all-weather" investment portfolios with great returns, and math-backed strategies for achieving financial independence and searching for our soul mate. Moreover, the important formulas are linked to a dozen free online interactive calculators on the book's website, allowing one to personalize the equations. Fernandez uses everyday experiences--such as visiting a coffee shop--to provide context for his mathematical insights, making the math discussed more accessible, real-world, and relevant to our daily lives. Every chapter ends with a summary of essential lessons and takeaways, and for advanced math fans, Fernandez includes the mathematical derivations in the appendices. A nutrition, personal finance, and relationship how-to guide all in one, The Calculus of Happiness invites you to discover how empowering mathematics can be.

Download or read book Your Journey to Peace written by Rosemary McCarthy and published by iUniverse. This book was released on 2016-10-21 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intertwined with Rosemary McCarthys personal journey of shifting from an angry, frustrated person blaming others for her unhappiness, to someone who now lives content with herself and in harmony with others, Your Journey to Peace brings the esoteric to the practical and maps out how to become your Best Self and feel empowered in all areas of your life. It also explains: Why we are the way we are individually and collectively; and how we got this way. How we find peace within ourselves by making peace in our relationships and all situations. That God does not allow for suffering! We create it by upholding dualistic concepts of me-and-you and us-and-them that we embraced at our beginnings and before form. The precursor to the Big Bang was the need for form to play out those dualistic concepts we chose at our beginnings: all our issues stem from those original concepts based on ideas of separation rather than unity. That understanding time makes the seven-day creation model valid. What are the extraterrestrials origins? How we can reconcile the growing evidence of our past association with the ETs and our scriptures and beliefs. Our need to embrace the Indigenous peoples connection to Gaia. That we chose to be here at this time of the Shift to bring about our personal and Gaias Ascensions.

Download or read book Qualitative Computing A Computational Journey Into Nonlinearity written by Francoise Chatelin and published by World Scientific. This book was released on 2012-06-15 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words — nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane.The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of √2. The celebrated results of Gödel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the “Mathematics for Life” to be developed during this century.

Download or read book Applied Calculus for Scientists and Engineers written by Frank Blume and published by Jones & Bartlett Learning. This book was released on 2005 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Calculus For Scientists And Engineers Is An Invitation To An Intellectual Journey Into A Discipline That Has Profoundly Influenced The Development Of Western Civilization For More Than Three Hundred Years. The Author Takes A Functional Pedagogical Approach Through The Use Of A Dialogue-Based Writing Style That Is Uniquely Suited To Make Transparent The Essential Problem-Solving Strategies. As The Text Follows Simplicio And Sophie In Their Struggle To Understand The Teacher's Explanations, Students Will Find That Many Of Their Own Difficulties Are Adequately Addressed And Elegantly Resolved. The Text Is Centered On The Idea That Good Teaching Must Bring Knowledge To Life. True To This Premise, The Author Has Taken Great Care To Present All Mathematical Subjects Within The Context Of Stimulating Applications That Cover A Wide Range Of Topics In Science And Engineering. Also Included Are Engaging Discussions Of The Historical And Philosophical Background That Gave The Discipline Of Calculus Its Present Shape. Indeed, It Is The Central Focus On Applications Combined With A Commitment To Very High Standards Of Expository Writing That Sets This Book Apart From The Competition.

Download or read book Mathematical Bridge A An Intuitive Journey In Higher Mathematics 2nd Edition written by Stephen Fletcher Hewson and published by World Scientific Publishing Company. This book was released on 2009-01-20 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.

Download or read book Handbook of Real World Applications in Modeling and Simulation written by John A. Sokolowski and published by John Wiley & Sons. This book was released on 2012-04-24 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces various modeling and simulation methods and paradigms that are used to explain and solve the predominant challenges facing society Handbook of Real-World Applications in Modeling and Simulation provides a thorough explanation of modeling and simulation in the most useful, current, and predominant applied areas of transportation, homeland security, medicine, operational research, military science, and business modeling. Offering a cutting-edge and accessible presentation, this book discusses how and why the presented domains have become leading applications of modeling and simulation techniques. Contributions from leading academics and researchers integrate modeling and simulation theories, methods, and data to analyze challenges that involve technological and social issues. The book begins with an introduction that explains why modeling and simulation is a reliable analysis assessment tool for complex systems problems. Subsequent chapters provide an orientation to various modeling and simulation methods and paradigms that are used to explain and solve the predominant challenges across real-world applied domains. Additionally, the handbook: Provides a practical one-stop reference on modeling and simulation and contains an accessible introduction to key concepts and techniques Introduces, trains, and prepares readers from statistics, mathematics, engineering, computer science, economics, and business to use modeling and simulation in their studies and research Features case studies that are representative of fundamental areas of multidisciplinary studies and provides a concise look at the key concepts of modeling and simulation Contains a collection of original ideas on modeling and simulation to help academics and practitioners develop a multifunctional perspective Self-contained chapters offer a comprehensive approach to explaining each respective domain and include sections that explore the related history, theory, modeling paradigms, and case studies. Key terms and techniques are clearly outlined, and exercise sets allow readers to test their comprehension of the presented material. Handbook of Real-World Applications in Modeling and Simulation is an essential reference for academics and practitioners in the areas of operations research, business, management science, engineering, statistics, mathematics, and computer science. The handbook is also a suitable supplement for courses on modeling and simulation at the graduate level.

Download or read book The Classroom Chef written by John Stevens and published by Dave Burgess Consulting. This book was released on 2016-03-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors share their secret recipes, ingredients, and tips for serving up lessons that engage students and help them understand math. Teachers can use these ideas and methods as-is or tweak them and create their own enticing educational meals.

Download or read book Exponential Theory Reimaginingthe Future Through the Power of Thinking Big written by Aaron D. Bare and published by . This book was released on 2022-03-22 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive leadership book on digital adaptation and solving major global crises.

Download or read book A Mathematical Journey Through Differential Equations Of Physics written by Max Lein and published by World Scientific. This book was released on 2022-09-16 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the language of physics, and over time physicists have developed their own dialect. The main purpose of this book is to bridge this language barrier, and introduce the readers to the beauty of mathematical physics. It shows how to combine the strengths of both approaches: physicists often arrive at interesting conjectures based on good intuition, which can serve as the starting point of interesting mathematics. Conversely, mathematicians can more easily see commonalities between very different fields (such as quantum mechanics and electromagnetism), and employ more advanced tools.Rather than focusing on a particular topic, the book showcases conceptual and mathematical commonalities across different physical theories. It translates physical problems to concrete mathematical questions, shows how to answer them and explains how to interpret the answers physically. For example, if two Hamiltonians are close, why are their dynamics similar?The book alternates between mathematics- and physics-centric chapters, and includes plenty of concrete examples from physics as well as 76 exercises with solutions. It exploits that readers from either end are familiar with some of the material already. The mathematics-centric chapters provide the necessary background to make physical concepts mathematically precise and establish basic facts. And each physics-centric chapter introduces physical theories in a way that is more friendly to mathematicians.As the book progresses, advanced material is sprinkled in to showcase how mathematics and physics augment one another. Some of these examples are based on recent publications and include material which has not been covered in other textbooks. This is to keep it interesting for the readers.

Download or read book Gravity Strings and Particles written by Maurizio Gasperini and published by Springer. This book was released on 2014-05-12 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: New fundamental forces of Nature? New forms of "dark'' energy? Signals from epochs preceding the Big Bang? Is our space-time unique? Only a joint study of the three topics examined in this book – gravity, strings and particles – may provide answers to these questions. Such a study may also provide the key to solving one of the most fascinating mysteries of modern science, namely: Besides time and the three spatial dimensions, how many other dimensions exist in our universe? The book is primarily addressed to readers who do not necessarily have a specific background in physics but are nevertheless interested in discovering the originality and the possible implications of some of the amazing ideas in modern theoretical physics. The emphasis is on conveying ideas rather than explaining formulas, focusing not on what is known but -- mainly -- on what is still unknown. Many parts of the book are devoted to fundamental theoretical models and results which are potentially highly relevant for a deeper understanding of Nature, but are still waiting to be confirmed (or disproved) by experiments. From this point of view, the material of this book may also be of interest to professional physicists, whether or not they work in the field of fundamental interactions.

Download or read book Issues in Urban Economics written by Harvey S. Perloff and published by Routledge. This book was released on 2013-10-18 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic economic considerations applied to the crucial urban problems of poverty, racial segregation, urban renewal, transportation, and education. Originally published in 1968