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Author: Lynn Harold Loomis Publisher: World Scientific Publishing Company ISBN: 9814583952 Category : Mathematics Languages : en Pages : 595
Book Description
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.
Author: Lynn Harold Loomis Publisher: World Scientific Publishing Company ISBN: 9814583952 Category : Mathematics Languages : en Pages : 595
Book Description
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.
Author: Paulo Ney de Souza Publisher: Springer Science & Business Media ISBN: 9780387204291 Category : Mathematics Languages : en Pages : 614
Book Description
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
Author: David F. Anderson Publisher: Cambridge University Press ISBN: 110824498X Category : Mathematics Languages : en Pages : 447
Book Description
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Author: Inc. Anaxos Publisher: McGraw Hill Professional ISBN: 1264277555 Category : Study Aids Languages : en Pages : 305
Book Description
The only study guide you’ll need for the AP Calculus AB/BC test—revised and updated, now with a 20-question Diagnostic Quiz Confidence is key when taking any exam, and it will come easier if you spend your test prep time wisely—even if you’ve been so busy that you’ve put off preparing until the last weeks before the exam. You’ll find the smartest, most effective test prep in 5 Steps to a 5: 500 AP Calculus AB/BC Questions to Know by Test Day, Fourth Edition. Written by expert AP teachers who know the exam inside and out, the questions closely resemble those you’ll face on exam day, and include detailed review explanations for both right and wrong answers. 5 Steps to a 5: 500 AP Calculus AB/BC Questions to Know by Test Day, Fourth Edition is updated for the latest exam, featuring only the type of questions you’ll see on this year’s exam, plus a super-helpful 20 Question Diagnostic quiz to test your knowledge. No matter how busy you are, this 5 Steps to a 5 guide will help you make the most of your last-minute study to build the skills you need in a minimal amount of time. Features: 500 AP-style questions and answers referenced to core AP materials NEW! 20 Question Diagnostic Quiz to test your knowledge Questions parallel the topic, format, and degree of difficulty of those in the AP exam, followed by answers with comprehensive, easy-to-understand explanations Detailed review explanations for right and wrong answers Ideal and effective last-minute practice to help build the skills you need in a minimal amount of time
Author: Walter A. Strauss Publisher: John Wiley & Sons ISBN: 0470054565 Category : Mathematics Languages : en Pages : 467
Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author: David Bock Publisher: Simon and Schuster ISBN: 1506271936 Category : Study Aids Languages : en Pages : 673
Book Description
Always study with the most up-to-date prep! Look for AP Calculus Premium, 2022-2023, ISBN 9781506263946, on sale January 4, 2022. Publisher's Note: Products purchased from third-party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitles included with the product.
Author: The Princeton Review Publisher: Princeton Review ISBN: 0525568158 Category : Education Languages : en Pages : 658
Book Description
Cracking the AP Calculus AB Exam, 2020 Edition, is dedicated to the calculus topics students need to cover to succeed on the AB test, including functions, graphs, limits, derivatives, and integrals. The exam covers all the information students need to succeed on the AB test, including functions, graphs, limits, derivatives, and integrals. The exam covers the material taught in a full-year course, and this edition reflects all the topics covered by the exam, the curriculum structure, and the exam setup and question types.
Author: Rita Korsunsky Publisher: ISBN: 9781500763848 Category : Languages : en Pages : 116
Book Description
Imagine having interactive Powerpoint lectures that illustrate every problem, walking you through the procedure step-by-step. Imagine having every proof, illustration, or theorem explained concisely and accurately.Well, with AP Calculus Interactive Lectures Vol.1, you can!Why is this paperback so convenient?This book contains printouts of all the Powerpoint presentations on topics covered by both the AP Calculus AB Exam and the first part of the BC Exam. You can take notes on this book, study from it, and use it as test preparation material for chapter tests as well as for the AP test. At the end of this book, you will find the list of all the formulas and theorems needed for the AP test. These lecture notes can be used for both review and learning, and are a perfect fit for every student no matter their current knowledge of Calculus. Every example and every lesson targets a specific skill or formula. With this book, you will have every concept you need to know at the tip of your fingers.Our books are written by Mrs. Rita Korsunsky, a High School Mathematics Teacher with more than fifteen years of experience teaching AP Calculus. Her lectures are rigorous, entertaining, and effective. Her students' AP Scores speak for themselves:100% of her students pass the AP ExamAround 90% of her students get 5 on the AP ExamFor more information and testimonials please visit www.mathboat.com
Author: W. Michael Kelley Publisher: Peterson Nelnet Company ISBN: 9780768924701 Category : Advanced placement programs (Education) Languages : en Pages : 0
Book Description
Provides review of mathematical concepts, advice on using graphing calculators, test-taking tips, and full-length sample exams with explanatory answers.
Author: Eugene Don Publisher: McGraw Hill Professional ISBN: 0071386807 Category : Mathematics Languages : en Pages : 238
Book Description
Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems.Each chapter features an introduction to a problem type, definitions, related theorems, and formulas.Topics range from vital pre-calculus review to traditional calculus first-course content.Sample problems with solutions and a 50-problem chapter are ideal for self-testing.Fully explained examples with step-by-step solutions.
Author: Lynn Harold Loomis
Author: Lynn Harold Loomis
Author: Paulo Ney de Souza
Author: David F. Anderson
Author: Inc. Anaxos
Author: Walter A. Strauss
Author: David Bock
Author: The Princeton Review
Author: Rita Korsunsky
Author: W. Michael Kelley
Author: Eugene Don