| calculus or trigonometry for short: Short Calculus Serge Lang, 2012-12-06 From the reviews This is a reprint of the original edition of Lang’s ‘A First Course in Calculus’, which was first published in 1964....The treatment is ‘as rigorous as any mathematician would wish it’....[The exercises] are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able. --Mathematical Gazette |
| calculus or trigonometry for short: Heavenly Mathematics Glen Van Brummelen, 2017-04-04 Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth.--Jacket. |
| calculus or trigonometry for short: Calculus with Trigonometry and Analytic Geometry John H. Saxon, Frank Wang, 2001-05 Designed for prospective mathematics majors and students interested in engineering, computer science, physics, business or the life sciences. The program covers all topics in the Advanced Placement Calculus AB and Calculus BC syllabi. Instruction takes full advantage of graphing calculators, using them for visual demonstrations of concepts and confirming calculations. |
| calculus or trigonometry for short: A First Course in Calculus Serge Lang, 1964 |
| calculus or trigonometry for short: Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry George F. Simmons, 2003-01-14 ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through. |
| calculus or trigonometry for short: Geometry and Trigonometry for Calculus Peter H. Selby, 1975-05-02 A review of plane geometry, numerical trigonometry, geometric and trigonometric analysis, and limits emphasizes the graphic representation of problems to be solved by combined methods. |
| calculus or trigonometry for short: Precalculus Mathematics in a Nutshell George Finlay Simmons, 1997 A book that explains the fundamentals of geometry, algebra, and trigonometry with as fewest words as the author deems it possible. |
| calculus or trigonometry for short: Winning at Math Paul D. Nolting, Every student must pass math courses to graduate. Doing well in math can both increase your career choices and allow you to graduate. Winning at Math will help you improve your math grades -- quickly and easily. The format of Winning at Math has bene revised to make it easier to read, and it contains much more proven math study skills techniques. The chapter on test anxiety has been expanded to assist students with math anxiety not just test anxiety. -- From publisher's description |
| calculus or trigonometry for short: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 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. |
| calculus or trigonometry for short: The Joy of X Steven Henry Strogatz, 2012 A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the New York Times. |
| calculus or trigonometry for short: Mathematics for Human Flourishing Francis Su, 2020-01-07 Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“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 ProjectA good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book.—MAA Reviews 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. |
| calculus or trigonometry for short: Concrete Mathematics Ronald L. Graham, Donald E. Knuth, Oren Patashnik, 1994-02-28 This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. More concretely, the authors explain, it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems. The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. |
| calculus or trigonometry for short: A First Course in Calculus Serge Lang, 2012-09-17 This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions. |
| calculus or trigonometry for short: Street-Fighting Mathematics Sanjoy Mahajan, 2010-03-05 An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
| calculus or trigonometry for short: Yet Another Calculus Text Dan Sloughter, 2009-09-24 |
| calculus or trigonometry for short: Mathematics and the Physical World Morris Kline, 2012-03-15 Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena. |
| calculus or trigonometry for short: Precalculus Sheldon Axler, 2017-08-21 Sheldon Axler's Precalculus: A Prelude to Calculus, 3rd Edition focuses only on topics that students actually need to succeed in calculus. This book is geared towards courses with intermediate algebra prerequisites and it does not assume that students remember any trigonometry. It covers topics such as inverse functions, logarithms, half-life and exponential growth, area, e, the exponential function, the natural logarithm and trigonometry. |
| calculus or trigonometry for short: Concepts of Modern Mathematics Ian Stewart, 2012-05-23 In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations. |
| calculus or trigonometry for short: Trigonometry Ted Sundstrom, Steven Schlicker, 2017-12-08 This college level trigonometry text may be different than most other trigonometry textbooks. In this book, the reader is expected to do more than read the book but is expected to study the material in the book by working out examples rather than just reading about them. So the book is not just about mathematical content (although it does contain important topics in trigonometry needed for further study in mathematics), but it is also about the process of learning and doing mathematics and is designed not to be just casually read but rather to be engaged. Recognizing that actively studying a mathematics book is often not easy, several features of the textbook have been designed to help students become more engaged as they study the material. Some of the features are: Beginning activities in each section that engage students with the material to be introduced, focus questions that help students stay focused on what is important in the section, progress checks that are short exercises or activities that replace the standard examples in most textbooks, a section summary, and appendices with answers for the progress checks and selected exercises. |
| calculus or trigonometry for short: Catalogue Ohio State University, 1899 |
| calculus or trigonometry for short: Space Mathematics Bernice Kastner, 2013-10-17 Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories. |
| calculus or trigonometry for short: The Math Teacher's Book of Lists Judith A. Muschla, Gary Robert Muschla, 1995 Provides over 300 useful lists for developing instructional materials and planning lessons for elementary and secondary students. |
| calculus or trigonometry for short: SAT Prep Course Jeff Kolby, 2021-01-15 Comprehensive, Rigorous Prep for the SAT Every year students pay $1,000 and more to test prep companies to prepare for the new SAT. Now you can get the same preparation in a book. SAT Prep Course provides the equivalent of a 2-month, 50-hour course. The new SAT is challenging but it can be mastered through hard work, analytical thought, and by training yourself to think like an SAT test writer. Many of the exercises in this book are designed to prompt you to think like an SAT test writer. For example, in the math section, you will find Duals. These are pairs of similar SAT problems in which only one property is different. They illustrate the process of creating SAT questions. Features: * Math: Twenty-six chapters provide comprehensive review of SAT math, including the new concepts from Algebra II and Trigonometry. * Reading: Develop the ability to spot places from which questions are likely to be drawn as you read a passage. (pivotal words, counter-premises, etc.) * Writing and Language: Comprehensive analysis of SAT grammar. * Vocabulary: Learn the essential 4000 SAT words and the 400 high-frequency words. * Mentor Exercises: These exercises provide hints, insight, and partial solutions to ease your transition from seeing SAT problems solved to solving them on your own. |
| calculus or trigonometry for short: SAT Prep Course EBook Jeff Kolby, 2021-01-15 Comprehensive, Rigorous Prep for the SAT Every year students pay $1,000 and more to test prep companies to prepare for the new SAT. Now you can get the same preparation in a book. SAT Prep Course provides the equivalent of a 2-month, 50-hour course. The new SAT is challenging but it can be mastered through hard work, analytical thought, and by training yourself to think like an SAT test writer. Many of the exercises in this book are designed to prompt you to think like an SAT test writer. For example, in the math section, you will find Duals. These are pairs of similar SAT problems in which only one property is different. They illustrate the process of creating SAT questions. Features: * Math: Twenty-six chapters provide comprehensive review of SAT math, including the new concepts from Algebra II and Trigonometry. * Reading: Develop the ability to spot places from which questions are likely to be drawn as you read a passage. (pivotal words, counter-premises, etc.) * Writing and Language: Comprehensive analysis of SAT grammar. * Vocabulary: Learn the essential 4000 SAT words and the 400 high-frequency words. * Mentor Exercises: These exercises provide hints, insight, and partial solutions to ease your transition from seeing SAT problems solved to solving them on your own. |
| calculus or trigonometry for short: ENC Focus , 2000 |
| calculus or trigonometry for short: General Catalog University of Missouri, 1909 |
| calculus or trigonometry for short: Ebony , 1983-07 EBONY is the flagship magazine of Johnson Publishing. Founded in 1945 by John H. Johnson, it still maintains the highest global circulation of any African American-focused magazine. |
| calculus or trigonometry for short: The Mathematical Gazette , 1922 |
| calculus or trigonometry for short: College of Engineering Catalogue Carnegie Institute of Technology. College of Engineering and Science, 1920 |
| calculus or trigonometry for short: Catalog Southwestern Indian Polytechnic Institute, 1994 |
| calculus or trigonometry for short: Subject-index of the London Library ... London Library, Charles Theodore Hagberg Wright, 1909 |
| calculus or trigonometry for short: Electronic Technology United States. Division of Vocational Education, 1960 |
| calculus or trigonometry for short: Mathematics Placement Procedures and Psychometric Decision Theory James Andrew McComb, 1983 |
| calculus or trigonometry for short: Teaching Secondary Mathematics David Rock, Douglas K. Brumbaugh, Thomas J. P. Brady, 2024-02-15 Solidly grounded in up-to-date research, theory, and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence. Each chapter features tried-and-tested pedagogical techniques, problem-solving challenges, discussion points, activities, mathematical challenges, and student-life-based applications that will encourage students to think and do. New to the fifth edition: A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligence A new chapter on equity, shame, and anxiety in the mathematics classroom Connections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and Standards Problem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions A fresh interior design to better highlight pedagogical elements and key features A completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources. |
| calculus or trigonometry for short: Introduction to GNU Octave Jason Lachniet, 2018-11-21 A brief introduction to scientific computing with GNU Octave. Designed as a textbook supplement for freshman and sophomore level linear algebra and calculus students. |
| calculus or trigonometry for short: Teaching Mathematics in the Block Carla Hunt, Susan Gilkey, 2013-10-30 Provides detailed instructional strategies, sample lesson plans, and sample assessments so that mathematics teachers can make the best use of the additional time. |
| calculus or trigonometry for short: Survive the IB! Nathan Taber, 2011 |
| calculus or trigonometry for short: Ohio State University Bulletin , 1912 |
| calculus or trigonometry for short: A Brief Course in the Calculus William Cain, 1905 |
| calculus or trigonometry for short: Everyman's Mathematics ... Francis W. Harvey, 1920 |
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