free Calculus eBooks

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The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the... more...
George Thomas' clear, precise calculus text with superior applications defined the modern-day, three-semester or four-quarter calculus course. The ninth edition of this proven text has been carefully revised to give students the solid base of material they will need to succeed in math, science, and engineering programs. This edition includes recent innovations in teaching and learning that involve technology, projects, and group work.
Often calculus and mechanics are taught as separate subjects. It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them. This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives,... more...
Two volumes of a classic 5-volume work in one handy edition. Part I considers general foundations of the theory of functions; Part II stresses special functions and characteristic, important types of functions, selected from single-valued and multiple-valued classes. Demonstrations are full and proofs given in detail. Introduction. Bibliographies.
This book covers the material of a one year course in real analysis.  It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom.  Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.  Hints are included for some of the more difficult problems.
A systematic, unified treatment of orthogonal transform methods for signal processing, data analysis and communications, this book guides the reader from mathematical theory to problem solving in practice. It examines each transform method in depth, emphasizing the common mathematical principles and essential properties of each method in terms of signal decorrelation and energy compaction. The different forms of Fourier transform, as well as the... more...
EVERYTHING YOU NEED TO SCORE A PERFECT 5. Equip yourself to ace the AP Calculus BC Exam with The Princeton Review's comprehensive study guide—including thorough content reviews, targeted strategies for every question type, access to our AP Connect online portal, and 3 full-length practice tests with complete answer explanations. We don't have to tell you how tough AP Calculus is—or how important a stellar score on the AP Exam can be to your... more...
Fuzzy Sets in Decision Analysis, Operations Research and Statistics includes chapters on fuzzy preference modeling, multiple criteria analysis, ranking and sorting methods, group decision-making and fuzzy game theory. It also presents optimization techniques such as fuzzy linear and non-linear programming, applications to graph problems and fuzzy combinatorial methods such as fuzzy dynamic programming. In addition, the book also accounts for advances... more...
Self-contained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970 edition.
This commemorative volume honors mathematician Paul R. Halmos, whose research, unparalleled mathematical exposition, and dedication to service made a major impact on the mathematics community. Various articles discuss his contributions to the operator theory.
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