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Higher Math
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Book Synopsis Higher Math for Beginners by : Y. B. Zeldovich
Download or read book Higher Math for Beginners written by Y. B. Zeldovich and published by Prentice Hall. This book was released on 1987 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Gateway to Higher Mathematics by : Jason H. Goodfriend
Download or read book A Gateway to Higher Mathematics written by Jason H. Goodfriend and published by Jones & Bartlett Learning. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Easy as p? written by Oleg A. Ivanov and published by Springer Science & Business Media. This book was released on 1999 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction for readers with some high school mathematics to both the higher and the more fundamental developments of the basic themes of elementary mathematics. Chapters begin with a series of elementary problems, cleverly concealing more advanced mathematical ideas. These are then made explicit and further developments explored, thereby deepending and broadening the readers' understanding of mathematics. The text arose from a course taught for several years at St. Petersburg University, and nearly every chapter ends with an interesting commentary on the relevance of its subject matter to the actual classroom setting. However, it may be recommended to a much wider readership; even the professional mathematician will derive much pleasureable instruction from it.
Book Synopsis Transition to Higher Mathematics by : Bob A. Dumas
Download or read book Transition to Higher Mathematics written by Bob A. Dumas and published by McGraw-Hill Education. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students who have taken calculus and want to learn what "real mathematics" is.
Book Synopsis Bridge to Higher Mathematics by : Sam Vandervelde
Download or read book Bridge to Higher Mathematics written by Sam Vandervelde and published by Lulu.com. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.
Book Synopsis Towards Higher Mathematics: A Companion by : Richard Earl
Download or read book Towards Higher Mathematics: A Companion written by Richard Earl and published by Cambridge University Press. This book was released on 2017-09-07 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book allows students to stretch their mathematical abilities and bridges the gap between school and university.
Book Synopsis A Bridge to Higher Mathematics by : Valentin Deaconu
Download or read book A Bridge to Higher Mathematics written by Valentin Deaconu and published by CRC Press. This book was released on 2016-12-19 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.
Book Synopsis AQA GCSE Maths: Higher by : Stephen Fearnley
Download or read book AQA GCSE Maths: Higher written by Stephen Fearnley and published by Oxford University Press - Children. This book was released on 2015-11-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note this title is suitable for any student studying: Exam Board: AQA Level: GCSE Subject: Mathematics First teaching: September 2015 First exams: June 2017 AQA GCSE Maths, Higher Student Book has been approved by AQA and specially written by a team of maths experts for the Higher tier of AQA's 2015 GCSE specification. Designed to fully support the new style of assessment, the book adopts a clear style to focus on delivering exam success via the careful development of fluency and problem solving practice. Powered by MyMaths the book links directly to the ever popular web site offering students a further source of appropriate support.
Book Synopsis Higher Topos Theory by : Jacob Lurie
Download or read book Higher Topos Theory written by Jacob Lurie and published by Princeton University Press. This book was released on 2009-07-26 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Download or read book The Math Myth written by Andrew Hacker and published by New Press, The. This book was released on 2010-05-25 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review
Book Synopsis A Course of Higher Mathematics by : Vladimir Ivanovich Smirnov
Download or read book A Course of Higher Mathematics written by Vladimir Ivanovich Smirnov and published by . This book was released on 1964 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High-Dimensional Probability by : Roman Vershynin
Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Book Synopsis A Course of Higher Mathematics by : V. I. Smirnov
Download or read book A Course of Higher Mathematics written by V. I. Smirnov and published by Elsevier. This book was released on 2014-05-09 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in classical field theories in vector algebra and vector analysis and the elements of differential geometry in three-dimensional space. The final chapters explore the Fourier series and the solution of the partial differential equations of classical mathematical physics. This book will prove useful to advanced mathematics students, engineers, and physicists.
Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III
Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.
Book Synopsis Mathematics for Human Flourishing by : Francis Su
Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Invigorating High School Math by : Steven Leinwand
Download or read book Invigorating High School Math written by Steven Leinwand and published by . This book was released on 2021-08-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dramatically Improving High School Mathematics Must Start Now! High school math is failing many students. Out-of-date and stale curricula are not only dull, but perpetuate inequity by limiting opportunities and failing to prepare a majority of students for life in the 21st century. Even traditionalists recognize that the status quo is no longer acceptable. Major shifts in course organization, mathematical content, pedagogy, and assessment are long overdue. Practical Guidance for Meaningful Transformation Invigorating High School Math is a clarion call for meaningful transformation. Throughout the book, Steven Leinwand and Eric Milou address the most critical challenges facing high school mathematics and provide practical guidance for: addressing challenges and excuses that often short-circuit new approaches making the case for the importance of and rationale for changing high school math creating core integrated math courses for grades 9 and 10 and coherent pathways for grades 11 and 12 making critical shifts in pedagogy and classroom practice designing high-quality assessments and using them effectively developing and executing a rational implementation plan A Stimulus for Discussion and a Road Map for Change Many of these ideas will not be broadly popular. It's likely that none of them will be easy to implement. That's no surprise: For nearly a century, the basic structure of high school mathematics has barely changed-not because of its effectiveness, but because the status quo is a powerful force requiring purposeful action to break. This book was written for every high school math educator and leader-as both a stimulus for discussion and a road map for change. Our hope, say the authors, is that this book stimulates change, empowers teachers, and guides the profession on this critical journey to invigorate high school mathematics.