Publish Or Perish

Calculus, 4th edition

Name: Calculus, 4th edition
Brand: Publish Or Perish
SKU: POP-CALC-V4
Price: 159.99 USD
Availability: InStock

$159.99 USD

Sale Sold out

Product variants

Quantity

Calculus, 4th Edition by Michael Spivak - Comprehensive Guide to Advanced Calculus

by Michael Spivak Author, Editor ,Illustrator

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

Editorial Reviews

Review

review of “Calculus, 4th edition” by Michael Spivak based on insights from readers: Writing Style and Intellectual Adventure: The prose in this book is exceptional. Unlike most calculus textbooks, which can be dry and mechanical, Spivak’s writing transforms calculus into a beautiful and intellectually stimulating subject. Spivak’s presentation is both intuitive and rigorous. He often provides provisional definitions to aid understanding, then meticulously explains the precise mathematical reasoning behind them. The book’s layout, with relevant figures seamlessly integrated into the text, is reminiscent of the style used in the Feynman lectures and Edward Tufte’s books. Challenging Exercises: The exercises in “Calculus, 4th edition” are quite difficult, but they offer an opportunity for deep learning. For those new to rigorous proofs, it might be helpful to supplement with other resources before diving into Spivak’s book. Mathematical Rigor and Clarity: Spivak’s approach emphasizes mathematical rigor. He doesn’t shy away from complex concepts. His explanations are clear and precise, making even challenging material accessible. Theoretical Underpinnings: Spivak goes beyond mere calculations. His account of calculus includes the theoretical foundations and hard theorems. He explores completeness of the real numbers, providing a deeper understanding. Overall Impression: If you’re willing to put in the effort, “Calculus, 4th edition” is a masterpiece. It’s not just a textbook; it’s an intellectual adventure waiting to unfold.

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. 📚🔢

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.