Advanced Mathematics
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Advanced Mathematics
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Author : Stanley J. Farlow
language : en
Publisher: John Wiley & Sons
Release Date : 2019-10-08
Advanced Mathematics written by Stanley J. Farlow and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-08 with Mathematics categories.
Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a “crash course” in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated” advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.
Advanced Mathematics For Engineers And Scientists With Worked Examples
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Author : Shefiu Zakariyah
language : en
Publisher: Taylor & Francis
Release Date : 2024-11-25
Advanced Mathematics For Engineers And Scientists With Worked Examples written by Shefiu Zakariyah and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-25 with Mathematics categories.
Advanced Mathematics for Engineers and Scientists with Worked Examples covers core to advanced topics in mathematics required for science and engineering disciplines. It is primarily designed to provide a comprehensive, straightforward and step-by-step presentation of mathematical concepts to engineers, scientists and general readers. It moves from simple to challenging areas, with carefully tailored worked examples also of different degrees of challenge. Mathematical concepts are deliberately linked with appropriate engineering applications to reinforce their value and are aligned with topics taught in major overseas curriculums. This book is written primarily for students at levels 3 and 4 (typically in the early stages of a degree in engineering or a related discipline) or for those undertaking foundation, access, Higher National Certificate (HND), International Foundation Year (IFY), and International Year One (IYO) courses with math modules. It is organised into four main parts: Part I: Trigonometry Part II: Advanced Mathematics Part III: Matrices and Vectors Part IV: Calculus Each of the above four parts is divided into two or more chapters, and each chapter can be used as a stand-alone guide with no prior knowledge assumed. Additional exercises and resources for each chapter can be found online. To access this supplementary content, please go to www.dszak.com.
Serving The Needs Of Intellectually Advanced Mathematics Students In Grades K 6
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Author : Scott A. Chamberlin
language : en
Publisher: Pieces of Learning
Release Date : 2012
Serving The Needs Of Intellectually Advanced Mathematics Students In Grades K 6 written by Scott A. Chamberlin and has been published by Pieces of Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Gifted children categories.
Year 9 Advanced Mathematics
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Author : Lyn Baker
language : en
Publisher: Pascal Press
Release Date : 2006
Year 9 Advanced Mathematics written by Lyn Baker and has been published by Pascal Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Juvenile Nonfiction categories.
"Revises the NSW Year 9 Stage 5.3 Mathematics course"--Cover.
A Bridge To Advanced Mathematics
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Author : Dennis Sentilles
language : en
Publisher: Courier Corporation
Release Date : 2013-05-20
A Bridge To Advanced Mathematics written by Dennis Sentilles and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Mathematics categories.
This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
Transition To Advanced Mathematics
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Author : Danilo R. Diedrichs
language : en
Publisher: CRC Press
Release Date : 2022-05-22
Transition To Advanced Mathematics written by Danilo R. Diedrichs and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-22 with Mathematics categories.
This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. The authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline. Part I offers: An introduction to logic and set theory. Proof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. Many illustrated examples, often drawing on what students already know, that minimize conversation about "doing proofs." An appendix that provides an annotated rubric with feedback codes for assessing proof writing. Part II presents the context and culture aspects of the transition experience, including: 21st century mathematics, including the current mathematical culture, vocations, and careers. History and philosophical issues in mathematics. Approaching, reading, and learning from journal articles and other primary sources. Mathematical writing and typesetting in LaTeX. Together, these Parts provide a complete introduction to modern mathematics, both in content and practice. Table of Contents Part I - Introduction to Proofs Logic and Sets Arguments and Proofs Functions Properties of the Integers Counting and Combinatorial Arguments Relations Part II - Culture, History, Reading, and Writing Mathematical Culture, Vocation, and Careers History and Philosophy of Mathematics Reading and Researching Mathematics Writing and Presenting Mathematics Appendix A. Rubric for Assessing Proofs Appendix B. Index of Theorems and Definitions from Calculus and Linear Algebra Bibliography Index Biographies Danilo R. Diedrichs is an Associate Professor of Mathematics at Wheaton College in Illinois. Raised and educated in Switzerland, he holds a PhD in applied mathematical and computational sciences from the University of Iowa, as well as a master’s degree in civil engineering from the Ecole Polytechnique Fédérale in Lausanne, Switzerland. His research interests are in dynamical systems modeling applied to biology, ecology, and epidemiology. Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He holds a PhD in representation theory from Northeastern University. His other books include Abstract Algebra: Structures and Applications (2015), Differential Geometry of Curves and Surfaces, with Tom Banchoff (2016), and Differential Geometry of Manifolds (2019).
Advanced Mathematics For Engineering And Science
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Author : Wenfang Chen
language : en
Publisher: World Scientific
Release Date : 2003
Advanced Mathematics For Engineering And Science written by Wenfang Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The book comprises ten chapters, Each chapter contains serveral soved problems clarifying the introduced concepts. Some of the examples are taken from the recent literature and serve to illustrate the applications in various fields of engineering and science. At the end of each chapter, there are assignment problems with two levels of difficulty. A list of references is provided at the end of the book. This book is the product of a close collaboration between two mathematicians and an engineer. The engineer has been helpful in pinpointing the problems which engineering students encounter in books written by mathematicians. Contents: Review of Calculus and Ordinary Differential Equations; Series Solutions and Special Functions; Complex Variables; Vector and Tensor Analysis; Partial Differential Equations I; Partial Differential Equations II; Numerical Methods; Numerical Solution of Partial Differential Equations; Calculus of Variations; Special Topics. Readership: Upper level undergraduates, graduate students and researchers in mathematical modeling, mathematical physics and numerical &computational mathematics.
Conquering Math Unlocking The Secrets Of Advanced Mathematics
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-07
Conquering Math Unlocking The Secrets Of Advanced Mathematics 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 2025-04-07 with Mathematics categories.
In the realm of mathematics, where numbers dance and equations sing, lies a hidden world of complexity and beauty, waiting to be explored. "Conquering Math: Unlocking the Secrets of Advanced Mathematics" is your passport to this extraordinary realm, a comprehensive guide that will empower you to conquer even the most daunting mathematical challenges. Written in a clear and engaging style, this book takes you on a journey through the fascinating world of advanced mathematics, from the fundamentals of algebra and geometry to the complexities of calculus, statistics, and beyond. With each chapter, you'll delve deeper into the intricacies of mathematical concepts, gaining a profound understanding of their applications in science, technology, and everyday life. More than just a textbook, "Conquering Math" is an immersive learning experience, filled with captivating stories, real-world examples, and thought-provoking exercises that bring mathematical concepts to life. You'll encounter intriguing puzzles, solve problems that have perplexed mathematicians for centuries, and explore the beauty and elegance of mathematical theorems. Whether you're a student seeking to master advanced mathematics, a professional looking to expand your knowledge, or simply a curious mind eager to explore the frontiers of human understanding, "Conquering Math" is your ultimate companion. Open its pages and embark on an intellectual adventure that will transform your perception of the world around you. Within these pages, you'll discover: * A comprehensive exploration of advanced mathematical concepts, explained in a clear and accessible manner * Engaging examples and thought-provoking exercises that bring mathematical concepts to life * Real-world applications of advanced mathematics in science, technology, and everyday life * Captivating stories and historical anecdotes that illuminate the beauty and significance of mathematics "Conquering Math" is more than just a book; it's an invitation to embark on a lifelong journey of mathematical discovery. Embrace the challenge, unlock the secrets of advanced mathematics, and experience the transformative power of numbers and equations. If you like this book, write a review!
Advanced Mathematical Thinking
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Author : David Tall
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Advanced Mathematical Thinking written by David Tall 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 2006-04-11 with Education categories.
Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encouraged and improved in the developing minds of students – has been limited to the reflections of a few significant individuals scattered throughout the history of mathematics. In the twentieth century the theory of mathematical education during the compulsory years of schooling to age 16 has developed its own body of empirical research, theory and practice. But the extensions of such theories to more advanced levels have only occurred in the last few years. In 1976 The International Group for the Psychology of Mathematics (known as PME) was formed and has met annually at different venues round the world to share research ideas. In 1985 a Working Group of PME was formed to focus on Advanced Mathematical Thinking with a major aim of producing this volume. The text begins with an introductory chapter on the psychology of advanced mathema- cal thinking, with the remaining chapters grouped under three headings: • the nature of advanced mathematical thinking, • cognitive theory, and • reviews of the progress of cognitive research into different areas of advanced mathematics.
A Gateway To Higher Mathematics
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Author : Jason H. Goodfriend
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2005
A Gateway To Higher Mathematics written by Jason H. Goodfriend 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 2005 with Computers categories.
A Gateway to Higher Mathematics integrates the process of teaching students how to do proofs into the framework of displaying the development of the real number system. The text eases the students into learning how to construct proofs, while preparing students how to cope with the type of proofs encountered in the higher-level courses of abstract algebra, analysis, and number theory. After using this text, the students will not only know how to read and construct proofs, they will understand much about the basic building blocks of mathematics. The text is designed so that the professor can choose the topics to be emphasized, while leaving the remainder as a reference for the students.