Exploring Calculus
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Infinite Powers
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Author : Steven Strogatz
language : en
Publisher: Mariner Books
Release Date : 2019
Infinite Powers written by Steven Strogatz and has been published by Mariner Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Biography & Autobiography categories.
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Exploring The Infinite Possibilities
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Author : Barrett Williams
language : en
Publisher: Barrett Williams
Release Date : 2024-10-24
Exploring The Infinite Possibilities written by Barrett Williams and has been published by Barrett Williams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-24 with Mathematics categories.
**Exploring the Infinite Possibilities Unlock the Mysteries of Mathematics** Dive into a world where numbers weave patterns of breathtaking beauty and equations reveal the secrets of the universe. "Exploring the Infinite Possibilities" is a captivating journey through the landscape of mathematics, offering a fresh and insightful perspective on a subject often shrouded in mystery and complexity. Begin your exploration with the aesthetic allure of mathematics, where the harmony of numbers and the elegance of patterns and symmetry spark a sense of wonder. Venture into the rich history of mathematical thought, tracing its evolution from ancient civilizations, through the intellectual fervor of the Renaissance, to the innovations that define modern mathematics today. Discover the boundless nature of infinity, uncover the mysteries of fractals and chaos theory, and delve into the intriguing realm of transfinite numbers. Wander through the natural world, where the Fibonacci sequence and the Golden Ratio manifest in mesmerizing forms and patterns, and explore the symmetrical beauty inherent in biological structures. Unravel the intricacies of mathematical proofs, from historical breakthroughs to contemporary challenges that drive mathematical discovery. Appreciate mathematics as a universal language, bridging the gap between the abstract and the tangible, and see its unifying power in science. From the elegance of Euclidean geometry to the peculiarities of non-Euclidean spaces, geometric concepts open the door to endless possibilities. Explore the hidden symmetries in abstract algebra, the enigmatic nature of prime numbers, and the profound impacts of calculus—the mathematics of change. Venture into the realms of mathematical analysis, probability, and statistics, uncovering the profound insights these fields offer into our world. Engage with the foundations of mathematical logic and embark on a journey through the digital age, where algorithms and machine learning reshape our lives. "Exploring the Infinite Possibilities" is not just a book—it's an inspiring odyssey into a vibrant mathematical universe. Whether you're a curious enthusiast or a seasoned mathematician, this book invites you to continue the great journey of mathematical exploration, inspiring future generations and highlighting the global impact of mathematics.
Everyday Calculus
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Author : Oscar E. Fernandez
language : en
Publisher: Princeton University Press
Release Date : 2017-03-07
Everyday Calculus written by Oscar E. Fernandez and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-07 with Mathematics categories.
A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.
Exploring University Mathematics With Python
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Author : Siri Chongchitnan
language : en
Publisher: Springer Nature
Release Date : 2023-12-01
Exploring University Mathematics With Python written by Siri Chongchitnan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-01 with Computers categories.
This book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and investigation, the book enables students to utilise Python to enrich their understanding of mathematics through: Calculation: performing complex calculations and numerical simulations instantly Visualisation: demonstrating key theorems with graphs, interactive plots and animations Extension: using numerical findings as inspiration for making deeper, more general conjectures. This book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equations and dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it can also serve as a preview of university mathematics for high-school students. The prerequisites for reading the book are a familiarity with standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to learn programming. For mathematics lecturers and teachers, this book is a useful resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming.
A First Course In Complex Analysis With Applications
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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009
A First Course In Complex Analysis With Applications written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. 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 on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.
On The Timeless Theorems Exploring The Mathematical Fundamentals
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-09
On The Timeless Theorems Exploring The Mathematical Fundamentals written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-09 with Mathematics categories.
"On the Timeless Theorems: Exploring the Mathematical Fundamentals" is an intellectual odyssey that delves into the heart of mathematics, unraveling the timeless theorems that have shaped our understanding of the universe. This comprehensive guide invites readers to embark on a captivating journey through the vast landscape of mathematical concepts, from the foundations of logic and reasoning to the intricacies of non-Euclidean geometry. Within these pages, readers will discover the elegance of deductive proofs, the beauty of geometric shapes, and the power of algebraic equations. They will unravel the mysteries of probability and statistics, uncovering the patterns hidden within data. The enigmatic world of topology will reveal the hidden connections between geometric objects, challenging their perception of space and shape. Venturing beyond the familiar confines of Euclidean geometry, readers will encounter the mind-bending concepts of hyperbolic and elliptic geometries, expanding their understanding of the universe's infinite possibilities. Abstract algebra and non-Euclidean geometry await those who dare to explore the frontiers of mathematical thought. Written in a clear and engaging style, "On the Timeless Theorems" is accessible to readers of all backgrounds, regardless of their mathematical expertise. With its in-depth explanations, insightful examples, and thought-provoking exercises, this book is an invaluable resource for students, educators, and anyone seeking a deeper understanding of the fundamental principles that govern our world. Unveil the timeless theorems that have shaped the course of mathematics and continue to inspire generations of scholars. "On the Timeless Theorems" is an essential guide for anyone seeking to unravel the mysteries of the mathematical universe and unlock the secrets of our existence. If you like this book, write a review!
Exploring Human Behavior Through Isotope Analysis
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Author : Melanie M. Beasley
language : en
Publisher: Springer Nature
Release Date : 2023-06-23
Exploring Human Behavior Through Isotope Analysis written by Melanie M. Beasley and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-23 with Social Science categories.
This edited volume compiles a series of chapters written by experts of isotopic analysis in order to highlight the utility of various isotope systems in the reconstruction of past human behaviors. Rather than grouping contributions by specific isotopes or analytical techniques, as many isotope review articles are arranged, the volume organizes chapters by broadly defined themes of archaeological research. These include: paleodiet and life histories, human-animal interactions, and migration and mobility. In this sense, the book is arranged with the intent of being as much question based as method based. Chapters under these themes provide background information on the principles of the techniques and on the theoretical underpinnings of the research; yet they are written with the non-specialist in mind and attempt to convey these ideas clearly and succinctly. In addition to the case studies and reviews, three chapters provide greater context to the field of isotopic archaeology, discussing its history, basic principles, and future potential. The volume aims to serve as a reference source for students and practicing archaeologists seeking to apply isotopic studies to their own research projects or to act as a reader for courses in archaeological science. Chapter 6 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Advanced Calculus Explored
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Author :
language : en
Publisher:
Release Date : 2019-11-29
Advanced Calculus Explored written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-29 with categories.
Exploring Calculus
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Author : Crista Arangala
language : en
Publisher: CRC Press
Release Date : 2016-08-19
Exploring Calculus written by Crista Arangala and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.
This text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way. Employs Mathematica to calculate and explore concepts and theories of calculus Uses engaging labs to inspire learning Includes many applications to a variety of fields that can promote research projects User-friendly approach that can be used for classroom work or independent exploratory learning