Christopher Heil – författare

For the single-variable component of three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science

Clarity and precision

Thomas' Calculus, Single Variable helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts. In the 14th Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorizing formulas and routine procedures to help  students generalize key concepts and develop deeper understanding.

Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. A full suite of Interactive Figures have been added to the accompanying MyLab Math course to further support teaching and learning. Enhanced Sample Assignments include just-in-time prerequisite review, help keep skills fresh with distributed practice of key concepts, and provide opportunities to work exercises without learning aids to help students develop confidence in their ability to solve problems independently.

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. 

If you would like to purchase both the physical text and MyLab Math, search for:

0134768523 / 9780134768526  Thomas' Calculus, Single Variable plus MyLab Math with Pearson eText -- Title-Specific Access Card package 14/e

Package consists of:   

For 1-semester or 2-quarter courses in multivariable calculus for math, science, and engineering majors.

Clear, precise, concise

University Calculus: Early Transcendentals, Multivariable helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. In the 4th Edition, new co-authors Chris Heil (Georgia Institute of Technology) and Przemyslaw Bogacki (Old Dominion University) partner with author Joel Hass to preserve the text’s time-tested features while revisiting every word, figure, and MyLab™ question with today’s students in mind. 

Also available with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. 

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab Math, search for:

0135308054 / 9780135308059 University Calculus, Multivariable plus MyLab Math with Pearson eText - Access Card Package

Package consists of:

For 3-semester or 4-quarter courses covering single variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics. University Calculus: Early Transcendentals helps students generalise and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. In the 4th SI Edition, new co-authors Chris Heil (Georgia Institute of Technology) and Przemyslaw Bogacki (Old Dominion University) partner with author Joel Hass to preserve the text's time-tested features while revisiting every word and figure with today's students in mind.

This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

This package includes MyLab.

For 3-semester or 4-quarter­ courses covering single­ variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics.

Clear, precise, concise

University Calculus: Early Transcendentals helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. In the 4th SI Edition, new co-authors Chris Heil (Georgia Institute of Technology) and Przemyslaw Bogacki (Old Dominion University) partner with author Joel Hass to preserve the text’s time-tested features while revisiting every word, figure, and MyLab™ question with today’s students in mind. 

Reach every student by pairing this text with Pearson MyLab Math

MyLab is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.

Pearson MyLab Math should only be purchased when required by an instructor. Please be sure you have the correct ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Thomas' Calculus goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets.

Thomas' Calculus goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets.

Thomas' Calculus goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets.

Thomas' Calculus: Early Transcendentals goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications.

Thomas' Calculus: Early Transcendentals goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications.

Thomas' Calculus goes beyond memorising formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalised concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets.

Thomas' Calculus goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets.

This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory''s origins and development.

Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the author’s lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject.

The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline, and much more.

Introduction to Real Analysis is intended for first-year graduate students taking a first course in real analysis, as well as for instructors seeking detailed lecture material with structure and accessibility in mind. Additionally, its content is appropriate for Ph.D. students in any scientific or engineering discipline who have taken a standard upper-level undergraduate real analysis course.

This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another.  With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.”

Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of ℓp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle.  The text is constructed in such a way that instructors have the option whether to include more advanced topics.

Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course.  Instructors have several options for building a course around the text depending on the level and interests of their students.

Thomas’ Calculus, SI Units, 15th Thai Edition เป็น eText ที่พัฒนาขึ้นเพื่อส่งเสริมความเข้าใจเชิงแนวคิดของแคลคูลัสอย่างลึกซึ้ง ควบคู่ไปกับความชัดเจนและความถูกต้องแม่นยำที่เป็นเอกลักษณ์ของชุด Thomas’ Calculus เนื้อหาภายในได้รับการอัปเดตให้ทันสมัย พร้อมตัวอย่างที่คัดสรรอย่างพิถีพิถัน ภาพประกอบที่ช่วยอธิบายแนวคิด และแบบฝึกหัดที่ได้รับการออกแบบเพื่อสนับสนุนการเรียนรู้อย่างมีประสิทธิภาพสำหรับนักเรียนในสาย STEM หลายระดับ

eText นี้ยังคงมุ่งเน้นการเชื่อมโยงแนวคิดคณิตศาสตร์เข้ากับการประยุกต์ใช้ในโลกจริง พร้อมทั้งรองรับรูปแบบการเรียนรู้ที่หลากหลาย โดยมีเนื้อหาทบทวน ตัวอย่างอย่างละเอียด และแบบฝึกหัดที่หลากหลาย เพื่อช่วยให้นักเรียนพัฒนาทักษะการแก้ปัญหาและการให้เหตุผลอย่างเป็นระบบ พร้อมสนับสนุนการเรียนรู้ผ่านเครื่องมือดิจิทัลอย่าง MyLab Math เพื่อยกระดับประสบการณ์การเรียนแคลคูลัสให้ครบถ้วนยิ่งขึ้น

Thomas’ Calculus, SI Units, 15th Thai Edition เป็น eText ที่พัฒนาขึ้นเพื่อส่งเสริมความเข้าใจเชิงแนวคิดของแคลคูลัสอย่างลึกซึ้ง ควบคู่ไปกับความชัดเจนและความถูกต้องแม่นยำที่เป็นเอกลักษณ์ของชุด Thomas’ Calculus เนื้อหาภายในได้รับการอัปเดตให้ทันสมัย พร้อมตัวอย่างที่คัดสรรอย่างพิถีพิถัน ภาพประกอบที่ช่วยอธิบายแนวคิด และแบบฝึกหัดที่ได้รับการออกแบบเพื่อสนับสนุนการเรียนรู้อย่างมีประสิทธิภาพสำหรับนักเรียนในสาย STEM หลายระดับ

eText นี้ยังคงมุ่งเน้นการเชื่อมโยงแนวคิดคณิตศาสตร์เข้ากับการประยุกต์ใช้ในโลกจริง พร้อมทั้งรองรับรูปแบบการเรียนรู้ที่หลากหลาย โดยมีเนื้อหาทบทวน ตัวอย่างอย่างละเอียด และแบบฝึกหัดที่หลากหลาย เพื่อช่วยให้นักเรียนพัฒนาทักษะการแก้ปัญหาและการให้เหตุผลอย่างเป็นระบบ พร้อมสนับสนุนการเรียนรู้ผ่านเครื่องมือดิจิทัลอย่าง MyLab Math เพื่อยกระดับประสบการณ์การเรียนแคลคูลัสให้ครบถ้วนยิ่งขึ้น

Thomas’ Calculus, SI Units, 15th Thai Edition เป็น eText ที่พัฒนาขึ้นเพื่อส่งเสริมความเข้าใจเชิงแนวคิดของแคลคูลัสอย่างลึกซึ้ง ควบคู่ไปกับความชัดเจนและความถูกต้องแม่นยำที่เป็นเอกลักษณ์ของชุด Thomas’ Calculus เนื้อหาภายในได้รับการอัปเดตให้ทันสมัย พร้อมตัวอย่างที่คัดสรรอย่างพิถีพิถัน ภาพประกอบที่ช่วยอธิบายแนวคิด และแบบฝึกหัดที่ได้รับการออกแบบเพื่อสนับสนุนการเรียนรู้อย่างมีประสิทธิภาพสำหรับนักเรียนในสาย STEM หลายระดับ

eText นี้ยังคงมุ่งเน้นการเชื่อมโยงแนวคิดคณิตศาสตร์เข้ากับการประยุกต์ใช้ในโลกจริง พร้อมทั้งรองรับรูปแบบการเรียนรู้ที่หลากหลาย โดยมีเนื้อหาทบทวน ตัวอย่างอย่างละเอียด และแบบฝึกหัดที่หลากหลาย เพื่อช่วยให้นักเรียนพัฒนาทักษะการแก้ปัญหาและการให้เหตุผลอย่างเป็นระบบ พร้อมสนับสนุนการเรียนรู้ผ่านเครื่องมือดิจิทัลอย่าง MyLab Math เพื่อยกระดับประสบการณ์การเรียนแคลคูลัสให้ครบถ้วนยิ่งขึ้น