Calculus (Calculus 4th edition by Michael Spivak) - Hardcover

Spivak, Michael

Hardcover

ISBN 10: 0914098918 ISBN 13: 9780914098911

Publisher: Publish or Perish, Inc., 2008

Synopsis

Spivak's celebrated textbook, "Calculus, 4th edition," is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises, and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. The book contains approximately 625 problems ranging from straightforward exercises to difficult problems. It is structured into twenty-nine chapters, with additional appendices and optional material. Calculus will continue to be regarded as a modern classic, ideal for honors students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis. One of the most celebrated texts of its type combines the rigor of more formidable books with the leisurely explanations, profusion of examples, exercises, and illustrations associated with 'doorstops.' Ideal for students; clear, crisp explanations of what analysis and mathematics are really about. Full range of exercises, from the straightforward to the challenging, that deepen understanding; solutions available in book form via https://mathpop.com/downloads

About this title

About the Author

Michael David Spivak, born on May 25, 1940, is an American mathematician with a profound impact on the field of differential geometry. As an expositor of mathematics, he has skillfully bridged the gap between complex theory and accessible explanations. Spivak’s legacy extends beyond academia—he is also the visionary behind Publish-or-Perish Press. 📚 Author of the Five-Volume Masterpiece: Spivak’s magnum opus, “A Comprehensive Introduction to Differential Geometry,” stands as a testament to his mathematical prowess. This five-volume work is a treasure trove for those seeking a deep understanding of geometric concepts. 🔍 Why Choose Spivak? 🌟 Clarity and Precision: Spivak’s writing style demystifies intricate topics, making them approachable for learners at all levels. 🌟 Problem-Solving Focus: Dive into challenging problems guided by a master mathematician. 🌟 Mathematical Rigor: Immerse yourself in proofs, theorems, and applications—the hallmark of Spivak’s approach. 📖 About the Mathematician: Hailing from Queens, New York, Spivak earned his Ph.D. from Princeton University. His contributions have left an indelible mark on mathematics, and his passion for clarity continues to inspire generations of learners. 🛒 Explore Spivak’s Work: Whether you’re a student, educator, or lifelong learner, delve into the intricacies of calculus, geometry, and mathematical reasoning with Michael Spivak. 📚🔢

Excerpt. © Reprinted by permission. All rights reserved.

The preface to the first edition emphasizes presenting calculus as the first real encounter with mathematics, aiming to strengthen insight with logic and precision. The book is structured into twenty-nine chapters, with two optional starred chapters and three chapters in Part V for students interested in the construction of real numbers. The preface to the second edition notes changes such as additional appendices on topics like polar coordinates and uniform continuity, and the inclusion of about 160 new problems. The third edition includes a new chapter on planetary motion and rearranges some material. The fourth edition, appearing 14 years after the third, introduces additional problems, updates the suggested reading list, and corrects numerous errors.

Edition details

• Publisher: Publish or Perish, Inc.
• Publication date: 2008
• ISBN 10: 0914098918
• ISBN 13: 9780914098911
• Binding: Hardcover
• Language: English
• Edition number: 4
• Number of pages: 680