Calculate this: learning CALCULUS just got a whole lot easier! Stumped trying to understand calculus?  Calculus Demystified, Second Edition, will help you master this essential mathematical subject. Written in a step-by-step format, this practical guide begins by covering the basics--number systems, coordinates, sets, and functions. You'll move on to limits, derivatives, integrals, and indeterminate forms. Transcendental functions, methods of integration, and applications of the integral are also covered. Clear examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key concepts.  It's a no-brainer! You'll get:  Applications of the derivative and the integral Rules of integration Coverage of improper integrals An explanation of calculus with logarithmic and exponential functions Details on calculation of work, averages, arc length, and surface area  Simple enough for a beginner, but challenging enough for an advanced student,  Calculus Demystified, Second Edition, is one book you won't want to function without!

Calculus Demystified

Science & Math

Steven G. Krantz

Mathematics

McGrowHill

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash--Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.

The Implicit Function Theorem: History, Theory, and Applications

Birkhäuser Boston

This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. 
Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. 
The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.

How to Teach Mathematics: A Personal Perspective

Amer Mathematical Society

Winner of the CHOICE Outstanding Academic Book Award for 1997! The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to ... translate verbal discussions into analytical data. learn problem-solving methods for attacking collections of analytical questions or data. build a personal arsenal of internalized problem-solving techniques and solutions. become "armed problem solvers", ready to do battle with a variety of puzzles in different areas of life. Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a "Challenge Problem" is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. This book won the CHOICE Outstanding Academic Book Award for 1997. A Solutions Manual to most end-of-chapter exercises is available.

Techniques of Problem Solving

American Mathematical Society

This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

Geometric Analysis and Function Spaces (Cbms Regional Conference Series in Mathematics)

Several Complex Variables and Complex Geometry (Proceedings of Symposia in Pure Mathematics, 52)

JOHN P.D ANGELO

Eric Bedford

Robert, Greene

This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment. 
It is currently the only book on the subject with exercises and a large number of examples.

Function Theory of Several Complex Variables (AMS Chelsea Publishing)

Graduate school marks the first step toward a career in mathematics for young mathematicians. During this period, they make important decisions which will affect the rest of their careers. Here now is a detailed guide to help students navigate graduate school and the years that follow. 
In his inimitable and forthright style, Steven Krantz addresses the major issues of graduate school, including choosing a program, passing the qualifying exams, finding an advisor, writing a thesis, and getting that first job. As with his earlier guide, How to Teach Mathematics, he avoids generalities, giving clear advice on how to handle real situations. The book also contains a description of the basic elements of a mathematical education, as well as a glossary and appendices on the structure of a typical department and university and the standard academic ranks. 
Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published 130 research articles and 45 books. He has worked in many different types of mathematics departments, supervised both masters and doctoral students, and is currently the Chair of the Mathematics Department at Washington University in St. Louis.

A Mathematician's Survival Guide: Graduate School and Early Career Development

See the best price to sell, buy, or rent books by Steven G. Krantz. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Steven G. Krantz

See the best price to sell, buy, or rent books by Steven G. Krantz. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Calculus Demystified

The Implicit Function Theorem: History, Theory, and Applications

How to Teach Mathematics: A Personal Perspective

Techniques of Problem Solving

Geometric Analysis and Function Spaces (Cbms Regional Conference Series in Mathematics)

Several Complex Variables and Complex Geometry (Proceedings of Symposia in Pure Mathematics, 52)

Several Complex Variables and Complex Geometry (Proceedings of Symposia in Pure Mathematics, 52)

Several Complex Variables and Complex Geometry (Proceedings of Symposia in Pure Mathematics, 52)

Function Theory of Several Complex Variables (AMS Chelsea Publishing)

A Mathematician's Survival Guide: Graduate School and Early Career Development