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Physical chemistry has a fragmentation problem — and most textbooks make it worse. What you will understand and be able to apply: Every worked example has been independently verified against the companion Python notebooks, which are freely available, browser-hosted, and version-pinned to this printing. Physical constants use CODATA 2018 values throughout. Chapters 12, 13, and 18 received a second independent review from a computational specialist. An errata page is maintained from publication.
Quantum mechanics is taught one semester, spectroscopy another, and computation is often an afterthought: a single chapter of recipes for software most students will never fully understand. By the time a student encounters the Franck-Condon principle or interprets a COSY spectrum, the quantum foundation that explains both has long since faded. This volume directly addresses that fragmentation.
Quantum theory, spectroscopy, and computation are treated here as a single coherent subject. The computational thread begins in Chapter 2 with the Python scientific stack and runs uninterrupted through Chapter 18, where spectra are predicted from electronic structure calculations and compared with experimental data. Spectroscopy follows immediately from the quantum results that explain it — not a semester later. Math Toolkit A (complex numbers, operator algebra, Fourier series) and Math Toolkit B (probability, expectation values, Hermitian operators) arrive precisely where they are needed, before the chapters that depend on them.
The four-part structure covers:
This volume is for upper-level undergraduates in physical chemistry, graduate students building a rigorous quantum-first foundation, instructors seeking a computationally integrated course text, and self-directed learners with calculus and general chemistry preparation. It is the first of two volumes; Volume II covers thermodynamics, statistical mechanics, and chemical dynamics. Each volume is self-contained.
Open the volume, begin with Math Toolkit A, and start building the framework that connects quantum theory to every spectroscopic technique and computational method you will use in modern chemistry.
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