Fourier Series


Georgi P. Tolstov - 1976
    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

The Classroom Chef: Sharpen Your Lessons, Season Your Classes, Make Math Meaninful


John Stevens - 2016
    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

Calculus, Better Explained: A Guide To Developing Lasting Intuition


Kalid Azad - 2015
     Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking. Frustrated With Abstract, Mechanical Lessons? I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition. The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different: 1) It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes. 2) Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago. 3) It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns. 4) It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture. The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case). Join Thousands Of Happy Readers Here's a few samples of anonymous feedback as people went through the course. The material covers a variety of levels, whether you're looking for intuitive appreciation or the specifics of the rules. "I've done all of this stuff before, and I do understand calculus intuitively, but this was the most fun I've had going through this kind of thing. The informal writing and multitude of great analogies really helps this become an enjoyable read and the rest is simple after that - you make this seem easy, but at the same time, you aren't doing it for us…This is what math education is supposed to be like :)" "I have psychology and medicine background so I relate your ideas to my world. To me the most useful idea was what each circle production feels like. Rings are natural growth…Slices are automatable chunks and automation cheapens production… Boards in the shape on an Arch are psychologically most palatable for work (wind up, hard part, home stretch). Brilliant and kudos, from one INTP to another." "I like how you're introducing both derivatives and integrals at the same time - it's really helps with understanding the relationship between them. Also, I appreciate how you're coming from such a different angle than is traditionally taken - it's always interesting to see where you decide to go next." "That was breathtaking. Seriously, mail my air back please, I've grown used to it. Beautiful work, thank you. Lesson 15 was masterful. I am starting to feel calculus. "d/dx is good" (sorry, couldn't resist!)."

New SYLLABUS Mathematics 3; 6th Edition


Teh Keng Seng
    

Tourism: Principles, Practices, Philosophies


Charles R. Goeldner - 1984
    Anyone involved in the work or study of today's tourism industry must consider all these factors together and their effect on it.This updated and revised Eleventh Edition of Tourism presents a comprehensive introduction to travel and tourism, while continuing the tested approach of successful previous editions. New and revised coverage, integrating the latest developments in the tourism industry, includes:Profiles of such industry leaders as J. W. Marriott, Jr, of Marriott International, Inc., James Rasulo of Walt Disney Parks and Resorts, and Francesco Frangialli, Secretary-General of the United Nations World Tourism Organization Lively and fun "Global Insights" look at emerging areas of importance in tourism Demographic trends, such as how the many new travelers from BRIC nations (Brazil, Russia, India, and China) recreate and seek culture New information on transportation options, including high-speed rail and river cruises New consideration of the use of the Internet, particularly Web 2.0 (podcasting, social networks, and blogs), in tourism research, marketing, and promotion Updates on passport, visa, and governmental policies Expanded treatment of crisis management Moving easily between theory and practice, Tourism, Eleventh Edition offers an unparalleled discussion of recreational travel today, and is suitable both as a lively learning tool for students and a reliable go-to reference for tourism professionals.

Advanced Engineering Mathematics [with Accompanying Mathematics Manual]


Erwin Kreyszig - 1998
    

The Algorithm Design Manual


Steven S. Skiena - 1997
    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

All the Mathematics You Missed


Thomas A. Garrity - 2001
    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

Basic Engineering Circuit Analysis


J. David Irwin - 1984
    Now in a new Ninth Edition, this reader-friendly book has been completely revised and improved to ensure that the learning experience is enhanced. It's built on the strength of Irwin's problem-solving methodology, providing readers with a strong foundation as they advance in the field.

Introduction to Robotics: Mechanics and Control


John J. Craig - 1985
    This edition features new material on Controls, Computer-Aided Design and Manufacturing, and Off-Line Programming Systems.

Guidebook to Mechanism in Organic Chemistry


Peter Sykes - 1970
    This guidebook is aimed clearly at the needs of the student, with a thorough understanding of, and provision for, the potential conceptual difficulties he or she is likely to encounter.

Essential English for Foreign Students, Book II, Students' Book


C.E. Eckersley - 1940
    It is planned to give a solid basis of the structures and vocabulary of English. Each book contains material for about a year's work, the vocabulary rising to some 3,000 words.The Teacher's Books provide notes on each lesson, the vocabulary to be taught, supplementary grammatical material and answers to exercises.In this new edition some of the grammatical sections have been, rewritten and expanded, and parts of the text and many illustrations have been brought up to date. Fundamentally, however, the new edition remains the same as previous editions.

Understanding Analysis


Stephen Abbott - 2000
    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

How to read and do proofs


Daniel Solow - 1982
    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

Math Through the Ages: A Gentle History for Teachers and Others


William P. Berlinghoff - 2002
    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."